23018 lines
1.6 MiB
23018 lines
1.6 MiB
(((-I)*Csc[theta]*(((-1/2*I)*r*Sin[theta]*(1 - 7.500000000000001*^-9*
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(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
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(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
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0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
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(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/E^
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(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
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(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
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0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
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E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
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(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
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(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
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(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
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8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
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(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*(
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0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
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(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
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(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
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(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
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(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r +
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0.125*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^
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4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*
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r)/E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
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(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
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((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
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E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
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r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^
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(4.*r^2)))/r^4)*(-1 + 3*Sin[theta]^2))*
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((-1.0000000000000001*^-16*
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((3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
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E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
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0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
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r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
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E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
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(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
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0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
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E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
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(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
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(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
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(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
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8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
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(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
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(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
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(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
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(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
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(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
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(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
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(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
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(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
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(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
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(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
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E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
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E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
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(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
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0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
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0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
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(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
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(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
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2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
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2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
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E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
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(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
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8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
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(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
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E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
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(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
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(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
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E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
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16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
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(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
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(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
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E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
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(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
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E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
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Sin[theta]^2)/4 + 3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
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(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
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E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
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(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
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0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
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0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
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(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
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((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
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r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
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r^2)/E^(4.*r^2)))/r^5)*(1 - 3*Sin[theta]^2))^2)/
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(-2 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
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(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
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(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
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(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
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(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
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r^4)*(-1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
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(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
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((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
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r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
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E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
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((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
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E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
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0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
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E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
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(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
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(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
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(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
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8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
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(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
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(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
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(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
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0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
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E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
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8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
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(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
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r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
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E^(4.*r^2)))/r)*Sin[theta]^2)^2 -
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(1.*^-8*(-5.*^-9*(3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. +
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0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
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E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
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E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
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((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
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E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
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0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
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E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
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(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
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(-1 + 3*Cos[2*theta]) + (3*((-21*(0.25/E^(4.*r^2) +
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((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
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(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
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(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
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(9*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
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E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
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(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
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0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
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E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
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(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
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(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
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(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
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((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
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((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
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E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
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((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
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(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
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(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
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(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
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(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
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(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
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(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
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(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
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(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
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E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
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0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
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E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
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((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
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(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
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(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
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((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
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E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
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((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
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8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
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(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
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(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
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2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
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0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
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2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
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(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
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E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
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0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
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(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
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E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
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E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
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E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
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8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
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(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
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(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
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(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
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E^(4.*r^2)))/r)*Sin[theta]^2)/2)^2 +
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(-2 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
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(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
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(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
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(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
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(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
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E^(4.*r^2)))/r^4)*(-1 + 3*Cos[2*theta]) +
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1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
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(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
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E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
((3*((21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 - (21*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 + (9*(0. - 2./E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + ((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + (-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*r +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^3 -
|
|
(2*(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2))))/r^2 + (0. + 32./E^(4.*r^2) +
|
|
0.25*(-8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)) - 8.*(-4./E^(4.*r^2) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2)) - 12.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) + 1.*(128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2)) - 8.*(-4./E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. + 0.25*r)) - 8.*
|
|
(0.5*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r)) +
|
|
((-8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
4.*(0. - 8.*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r) + ((-4.*(0. - 8.*r) -
|
|
8.*(0.25*(0. - 8.*r) - 2.*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 2.*r) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0.25*(0. -
|
|
8.*r) - 2.*r) + (128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^
|
|
3/E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r + (32.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*(0. - 8.*r)*r -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) - 8.*(-2./E^(4.*r^2) + 0.5*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + 0.25*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) + 0.125*r^2*(-5120./E^(4.*r^2) +
|
|
128.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2)) - 16.*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r) +
|
|
(1536.*(0. - 8.*r)^2)/E^(4.*r^2) - 24.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)^2 -
|
|
(72.*(0. - 8.*r)^4)/E^(4.*r^2) + (0. - 8.*r)^6/
|
|
E^(4.*r^2) - (2048.*(0. - 8.*r)*r)/E^(4.*r^2)) +
|
|
1.*(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)) + 0.5*r*(0. + (384.*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3)/E^(4.*r^2) - (3072.*r)/
|
|
E^(4.*r^2) + (384.*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
(64.*(0. - 8.*r)^3*r^2)/E^(4.*r^2) - 24.*(0. - 8.*r)*
|
|
(-8./E^(4.*r^2) + (64.*r^2)/E^(4.*r^2))))/r)*
|
|
Sin[theta]^2)/4 + 3*((3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^5 - (3*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 + (0. - 2./E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + ((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + (-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*r +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^3)*(1 -
|
|
3*Sin[theta]^2))))/(-2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)^2))/Sqrt[2] +
|
|
((I/2)*r*Sin[theta]*(1 - 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/E^
|
|
(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*(
|
|
0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^
|
|
4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^
|
|
(4.*r^2)))/r^4)*(-1 + 3*Sin[theta]^2))*
|
|
((5.*^-9*(7.500000000000001*^-9*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
(13*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2))))/r^2 + (0. + 1.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2)) -
|
|
(8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/E^(4.*r^2) -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
((3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r))/4 + 3*((-3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(-3 +
|
|
Csc[theta]^2)) + 3.0000000000000004*^-8*
|
|
(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(15*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*(-3 + Csc[theta]^2)*((3*((-21*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
(9*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r))/4 + 3*((-3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(-3 +
|
|
Csc[theta]^2)) - (7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r) - Csc[theta]^2 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-3 + Csc[theta]^2))*
|
|
((3*((105*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 - (48*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(13*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^3 -
|
|
(3*(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2))))/r^2 + (0. + 32./E^(4.*r^2) +
|
|
0.25*(-8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)) - 8.*(-4./E^(4.*r^2) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2)) - 12.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) + 1.*(128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2)) - 8.*(-4./E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. + 0.25*r)) - 8.*
|
|
(0.5*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r)) +
|
|
((-8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
4.*(0. - 8.*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r) + ((-4.*(0. - 8.*r) -
|
|
8.*(0.25*(0. - 8.*r) - 2.*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 2.*r) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0.25*(0. -
|
|
8.*r) - 2.*r) + (128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^
|
|
3/E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r + (32.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*(0. - 8.*r)*r -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) - 8.*(-2./E^(4.*r^2) + 0.5*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + 0.25*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) + 0.125*r^2*(-5120./E^(4.*r^2) +
|
|
128.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2)) - 16.*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r) +
|
|
(1536.*(0. - 8.*r)^2)/E^(4.*r^2) - 24.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)^2 -
|
|
(72.*(0. - 8.*r)^4)/E^(4.*r^2) + (0. - 8.*r)^6/
|
|
E^(4.*r^2) - (2048.*(0. - 8.*r)*r)/E^(4.*r^2)) +
|
|
1.*(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)) + 0.5*r*(0. + (384.*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3)/E^(4.*r^2) - (3072.*r)/
|
|
E^(4.*r^2) + (384.*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
(64.*(0. - 8.*r)^3*r^2)/E^(4.*r^2) - 24.*(0. - 8.*r)*
|
|
(-8./E^(4.*r^2) + (64.*r^2)/E^(4.*r^2))))/r))/4 +
|
|
3*((15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 - (6*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^3)*(-3 +
|
|
Csc[theta]^2))))/(7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r) - Csc[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-3 + Csc[theta]^2))^2 -
|
|
(5.*^-9*(-9.000000000000001*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) +
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r) + 7.500000000000001*^-9*r*
|
|
(-13.125/(E^(4.*r^2)*r^4) - (48*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + (13*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2))))/r^2 + (0. + 1.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2)) -
|
|
(8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/E^(4.*r^2) -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r) -
|
|
2*Csc[theta]^2 + 3.0000000000000004*^-8*r*
|
|
(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(15*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*Csc[theta]^2 + 6.000000000000001*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-3 + Csc[theta]^2))*((3*((-21*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + (9*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 + (0. +
|
|
1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2)/4 + 3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*(1 - 3*Sin[theta]^2)))/
|
|
(r*(7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r) - Csc[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-3 + Csc[theta]^2))*(-2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)) +
|
|
(5.*^-9*(-9.000000000000001*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) +
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r) + 7.500000000000001*^-9*r*
|
|
(-13.125/(E^(4.*r^2)*r^4) - (48*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + (13*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2))))/r^2 + (0. + 1.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2)) -
|
|
(8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/E^(4.*r^2) -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r) -
|
|
2*Csc[theta]^2 + 3.0000000000000004*^-8*r*
|
|
(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(15*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*Csc[theta]^2 + 6.000000000000001*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-3 + Csc[theta]^2))*(-9.*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*Cos[theta]^2*Sin[theta]^2 -
|
|
(3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(1 + 3*Cos[2*theta])*(-1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) -
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2))/2))/
|
|
(r*(7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r) - Csc[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-3 + Csc[theta]^2))*(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) + (1.5000000000000002*^-8*Cos[theta]*
|
|
(-3.0000000000000004*^-8*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(1 + 3*Cos[2*theta]) +
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*(2 + 3.0000000000000004*^-8*(
|
|
0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(1 +
|
|
3*Cos[2*theta])))*(1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Cos[theta] - Cot[theta]*Csc[theta] +
|
|
3*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-6.000000000000001*^-8*Cos[theta] + 1.*^-8*Cot[theta]*Csc[
|
|
theta])))/(r*(7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r) - Csc[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-3 + Csc[theta]^2))*(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2))))/Sqrt[2]))/(Sqrt[2]*r) +
|
|
(-1/2*(-3.0000000000000004*^-8*r*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*Cos[theta]*Sin[theta]*
|
|
((1.5000000000000002*^-8*Cos[theta]*Sin[theta]*
|
|
(((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*(1 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
1.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)*(3*((-3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
(3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)/4))*
|
|
(r*(2 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(-1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-2 + 3*Sin[theta]^2)) +
|
|
1.35*^-15*r*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)*Sin[2*theta]^2))/
|
|
(r*(9.*^-16*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Cos[theta]^2*
|
|
Sin[theta]^2 - (1 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(2 - 3*Sin[theta]^2)))*
|
|
(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) + (1.5000000000000002*^-8*Cos[theta]*
|
|
(-3.0000000000000004*^-8*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^5)*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta]) + ((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (3*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*(2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta])))*Sin[theta]*
|
|
(1.8*^-15*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2 +
|
|
(1 + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(2 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) +
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2) - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(4 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) +
|
|
6.000000000000001*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*Cos[2*theta] +
|
|
3.0000000000000004*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2) + 6.000000000000001*^-8*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)*(Cos[2*theta] -
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^4)))/
|
|
((-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 6.000000000000001*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)*(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) -
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) + (7.500000000000001*^-9*Sin[2*theta]*
|
|
(-8.*^-8*(9.*^-8*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2 + (2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)/4 -
|
|
3.0000000000000004*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Cos[2*theta] + 3*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 2.5*^-9*(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(-1 +
|
|
3*Cos[2*theta])))*(-9.*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(1 + 3*Cos[2*theta])*(-1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) -
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
r^2))/r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2))/
|
|
2) + (3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(1 - 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + ((2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
r^2))/r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1.*^-8 -
|
|
3.0000000000000004*^-8*Cos[2*theta]))/4) +
|
|
3.0000000000000004*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Cos[2*theta])*
|
|
(-8 + 3.6*^-15*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) -
|
|
6.000000000000001*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(4 - 12*Cos[2*theta] -
|
|
3.0000000000000004*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 1.8*^-15*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)))/(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) +
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)^2 - (3.0000000000000004*^-8*Cos[theta]*
|
|
Sin[theta]*(((4.5000000000000006*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*((-21*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
(9*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(2 - 1.2000000000000002*^-7*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 2.*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
r^2))/r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*(-2 +
|
|
3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) +
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
r^2))/r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r)*(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*r +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
r + 0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r) +
|
|
0.5*r*(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (192.*(0. - 8.*r)*r)/E^(4.*r^2) -
|
|
(8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
1.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
((-3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
r^2))/r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r)*(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*r +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^
|
|
3/E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. + 0.25*r) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*r +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(0. -
|
|
8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. -
|
|
8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*
|
|
r)/E^(4.*r^2)))/r)*Sin[theta]^2)/2 +
|
|
r*(3*((15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
r^2))/r^5 - (6*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r)*(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*r +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^3) -
|
|
(3*((105*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
r^2))/r^5 - (48*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(13*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + (-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) + 0.5*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/
|
|
r^3 - (3*(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. -
|
|
8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./
|
|
E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. -
|
|
8.*r) - 2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. + 0.25*r) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*r +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(0. - 8.*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. -
|
|
8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*(192./
|
|
E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*
|
|
r)/E^(4.*r^2))))/r^2 + (0. + 32./E^(4.*r^2) +
|
|
0.25*(-8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)) -
|
|
8.*(-4./E^(4.*r^2) + ((0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r))*(0. - 8.*r))/E^(4.*r^2)) - 12.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
1.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2)) -
|
|
8.*(-4./E^(4.*r^2) + ((0. - 8.*r)*(0.25*(0. -
|
|
8.*r) - 2.*r))/E^(4.*r^2)) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*
|
|
r^2)) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. + 0.25*r)) -
|
|
8.*(0.5*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*
|
|
r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. +
|
|
0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r)*(0. + 0.25*r)) + ((-8.*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r)) - 4.*(0. - 8.*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r) +
|
|
((-4.*(0. - 8.*r) - 8.*(0.25*(0. - 8.*r) - 2.*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 2.*r) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0.25*(0. -
|
|
8.*r) - 2.*r) + (128./E^(4.*r^2) - 8.*(-8./
|
|
E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) + 0.5*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r +
|
|
(32.*(0. - 8.*r)*r)/E^(4.*r^2) + 0.25*(128./
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*(0. - 8.*r)*r -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*
|
|
r^2)) + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r) - 8.*(-2./E^(4.*r^2) +
|
|
0.5*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + 0.25*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) + 0.125*r^2*(-5120./E^(4.*r^2) +
|
|
128.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2)) - 16.*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r) + (1536.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - 24.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)^2 - (72.*(0. - 8.*r)^4)/
|
|
E^(4.*r^2) + (0. - 8.*r)^6/E^(4.*r^2) -
|
|
(2048.*(0. - 8.*r)*r)/E^(4.*r^2)) + 1.*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*
|
|
r)/E^(4.*r^2)) + 0.5*r*(0. + (384.*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3)/E^(4.*r^2) -
|
|
(3072.*r)/E^(4.*r^2) + (384.*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + (64.*(0. - 8.*r)^3*r^2)/E^(4.*r^2) -
|
|
24.*(0. - 8.*r)*(-8./E^(4.*r^2) + (64.*r^2)/
|
|
E^(4.*r^2))))/r)*Sin[theta]^2)/4)))*(-4 +
|
|
1.8*^-15*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) -
|
|
3.0000000000000004*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
1.5000000000000002*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(4 - 12*Cos[2*theta] -
|
|
3.0000000000000004*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
r^2))/r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 9.*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2))/2 + 1.*^-8*(-1.8*^-7*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2 + 6*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 1.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-2 + 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2))*((3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + (9*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*(2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 + 3*
|
|
((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(-1 + 3*Cos[2*theta] - 6.000000000000001*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta]) + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) - 9.*^-8*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)^2) + r^2*(1 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4) + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4 + (0. - 2./E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/E^
|
|
(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r)*r + 0.125*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*r^2 -
|
|
8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2)*((5.*^-9*(-9.*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*Cos[theta]^2*Sin[theta]^2 -
|
|
(3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(1 +
|
|
3*Cos[2*theta])*(-1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) -
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2))/2)*
|
|
(r*(2 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(-1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-2 + 3*Sin[theta]^2)) +
|
|
1.35*^-15*r*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)*Sin[2*theta]^2))/
|
|
(r^2*(9.*^-16*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Cos[theta]^2*
|
|
Sin[theta]^2 - (1 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(2 - 3*Sin[theta]^2)))*
|
|
(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) -
|
|
(5.*^-9*((3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(2 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta])))/2 +
|
|
3*Sin[theta]^2*(3.0000000000000004*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Cos[theta]^2 +
|
|
(((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*(-1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-2 + 3*Sin[theta]^2)))/4))*(r*(2 - 3.0000000000000004*^-8*
|
|
r*(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(-1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-2 + 3*Sin[theta]^2)) +
|
|
1.35*^-15*r*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)*Sin[2*theta]^2))/
|
|
(r^2*(9.*^-16*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Cos[theta]^2*
|
|
Sin[theta]^2 - (1 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(2 - 3*Sin[theta]^2)))*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 6.000000000000001*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) + (4.5*^-16*Cos[theta]^2*
|
|
(-3.0000000000000004*^-8*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^5)*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta]) + ((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (3*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*(2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta])))*Sin[theta]^2*
|
|
(-1.8*^-7*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2 +
|
|
6*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(1 + 1.*^-8*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)*(-2 + 3.0000000000000004*^-8*r*
|
|
(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)))/
|
|
(r*(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)*(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) -
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) - (4.5*^-16*Cos[theta]^2*
|
|
(-3.0000000000000004*^-8*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^5)*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta]) + ((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (3*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*(2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta])))*Sin[theta]^2*
|
|
(6.000000000000001*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Cos[2*theta] -
|
|
((2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(2 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta])))/4 +
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)*(2 - 3.0000000000000004*^-8*r*
|
|
(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)))/
|
|
(r*(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)*(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) -
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) + (1.5000000000000002*^-8*
|
|
(3.0000000000000004*^-8*(9.*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2 + (2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)/4 -
|
|
3.0000000000000004*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Cos[2*theta] + 3*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 2.5*^-9*(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(-1 +
|
|
3*Cos[2*theta])))*(-3.0000000000000004*^-8*
|
|
((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta]) + ((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (3*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*
|
|
(2 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta])))*
|
|
Sin[2*theta]^2 + Cos[theta]^2*(-3.0000000000000004*^-8*
|
|
((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta]) + ((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (3*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*
|
|
(2 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta])))*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) -
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-1 + 3*Cos[2*theta] +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2) - (-3.0000000000000004*^-8*
|
|
((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta]) + ((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (3*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*
|
|
(2 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta])))*Sin[theta]^2*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) -
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-1 + 3*Cos[2*theta] +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2) + 6.000000000000001*^-8*
|
|
(3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) - 3*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2))*Cos[theta]*
|
|
Sin[theta]*Sin[2*theta]*(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) -
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-1 + 3*Cos[2*theta] +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)))/(r*(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) +
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-1 + 3*Cos[2*theta] +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^
|
|
2)^2) - (5.*^-9*r*(9.*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Cos[theta]^
|
|
2*Sin[theta]^2 - (1 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*(1 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(2 - 3*Sin[theta]^2)))*
|
|
(6*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(-2 +
|
|
3*Sin[theta]^2)*(2 - 3.0000000000000004*^-8*r*
|
|
(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
2*(-6*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
3*r*((15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 - (6*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^3) +
|
|
(3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2)/2 + (3*r*((105*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 - (48*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(13*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^3 -
|
|
(3*(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r)))/E^(4.*r^2) - 8.*
|
|
((0.5*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. -
|
|
8.*r) - 2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. + 0.25*r) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*r +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(0. -
|
|
8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2))))/
|
|
r^2 + (0. + 32./E^(4.*r^2) + 0.25*(-8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. -
|
|
8.*r)) - 8.*(-4./E^(4.*r^2) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2)) -
|
|
12.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
1.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2)) - 8.*(-4./E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. + 0.25*r)) - 8.*
|
|
(0.5*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r)*(0. + 0.25*r)) + ((-8.*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r)) - 4.*(0. - 8.*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r) +
|
|
((-4.*(0. - 8.*r) - 8.*(0.25*(0. - 8.*r) - 2.*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 2.*r) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0.25*(0. -
|
|
8.*r) - 2.*r) + (128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r +
|
|
(32.*(0. - 8.*r)*r)/E^(4.*r^2) + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*(0. - 8.*r)*r - 8.*(0.25*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) - 8.*(-2./E^(4.*r^2) + 0.5*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + 0.25*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) + 0.125*r^2*(-5120./E^(4.*r^2) +
|
|
128.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2)) - 16.*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. -
|
|
8.*r) + (1536.*(0. - 8.*r)^2)/E^(4.*r^2) -
|
|
24.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)^2 - (72.*(0. - 8.*r)^4)/E^(4.*r^2) +
|
|
(0. - 8.*r)^6/E^(4.*r^2) - (2048.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)) + 1.*(192./E^(4.*r^2) - (24.*(0. - 8.*r)^
|
|
2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/E^(4.*r^2) -
|
|
(8.*(0. - 8.*r)^3*r)/E^(4.*r^2)) + 0.5*r*(0. +
|
|
(384.*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) - (3072.*r)/E^(4.*r^2) + (384.*(0. - 8.*r)^
|
|
2*r)/E^(4.*r^2) + (64.*(0. - 8.*r)^3*r^2)/
|
|
E^(4.*r^2) - 24.*(0. - 8.*r)*(-8./E^(4.*r^2) +
|
|
(64.*r^2)/E^(4.*r^2))))/r)*Sin[theta]^2)/4)*(-1 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-2 + 3*Sin[theta]^2)) +
|
|
2.7*^-7*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(
|
|
-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*Sin[2*theta]^2 +
|
|
2.7*^-7*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Sin[2*theta]^2) -
|
|
(r*(2 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)*(-1 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-2 + 3*Sin[theta]^2)) +
|
|
1.35*^-15*r*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*Sin[2*theta]^2)*
|
|
(3.0000000000000004*^-8*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(-2 +
|
|
3*Sin[theta]^2)*(1 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
1.*^-8*(3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
(3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2)/4)*(1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(2 - 3*Sin[theta]^2)) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Sin[2*theta]^2))/
|
|
(2*r^2*(-9.*^-16*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Cos[theta]^
|
|
2*Sin[theta]^2 + (1 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*(1 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(2 - 3*Sin[theta]^2)))^2)))/
|
|
(Sqrt[2]*r) + (-3.0000000000000004*^-8*r*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*Cos[theta]*Sin[theta]*
|
|
((3.0000000000000004*^-16*r*Cos[theta]*Sin[theta]*
|
|
(-9.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^
|
|
4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*Cos[theta]^2*Sin[theta]^2 -
|
|
(3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(1 + 3*Cos[2*theta])*(-1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) -
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2))/2)*
|
|
(((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*(1 - 3.0000000000000004*^-8*(
|
|
0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
1.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
(3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)/4)))/
|
|
(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)^
|
|
2 + (3.0000000000000004*^-16*r*Cos[theta]*Sin[theta]*
|
|
(((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*(1 - 3.0000000000000004*^-8*(
|
|
0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
1.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
(3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)/4))*
|
|
((3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(2 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta])))/2 +
|
|
3*Sin[theta]^2*(3.0000000000000004*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Cos[theta]^2 +
|
|
(((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*(-1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-2 + 3*Sin[theta]^2)))/4)))/
|
|
((2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 6.000000000000001*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) - (3.0000000000000004*^-8*r*Cos[theta]*
|
|
Sin[theta]*(-1/2*((((-6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. +
|
|
0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^5 + (6*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (3*(0. - 2./E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + ((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + (-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*r +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^3 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r^2)*(-1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) -
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) -
|
|
1.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(3*((3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 + (0. - 2./E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + ((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + (-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^3) -
|
|
(3*((21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
r^2))/r^5 - (21*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 + (9*(0. - 2./E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r))*(0. - 8.*r))/E^(4.*r^2) + (0.25*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r)*(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*r +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^3 -
|
|
(2*(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r)))/E^(4.*r^2) - 8.*
|
|
((0.5*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. -
|
|
8.*r) - 2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. + 0.25*r) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*r +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(0. -
|
|
8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. -
|
|
8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*
|
|
r)/E^(4.*r^2))))/r^2 + (0. + 32./E^(4.*r^2) +
|
|
0.25*(-8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)) - 8.*(-4./E^(4.*r^2) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2)) - 12.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) + 1.*(128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2)) - 8.*(-4./E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. + 0.25*r)) - 8.*(0.5*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*
|
|
r))*(0. - 8.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. +
|
|
0.25*r)) + ((-8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)) - 4.*(0. - 8.*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r) +
|
|
((-4.*(0. - 8.*r) - 8.*(0.25*(0. - 8.*r) - 2.*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 2.*r) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0.25*(0. -
|
|
8.*r) - 2.*r) + (128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r +
|
|
(32.*(0. - 8.*r)*r)/E^(4.*r^2) + 0.25*(128./
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*(0. - 8.*r)*r -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) - 8.*(-2./E^(4.*r^2) + 0.5*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + 0.25*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) + 0.125*r^2*(-5120./E^(4.*r^2) +
|
|
128.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2)) -
|
|
16.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r) + (1536.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - 24.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)^2 - (72.*(0. - 8.*r)^4)/
|
|
E^(4.*r^2) + (0. - 8.*r)^6/E^(4.*r^2) -
|
|
(2048.*(0. - 8.*r)*r)/E^(4.*r^2)) + 1.*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*
|
|
r)/E^(4.*r^2)) + 0.5*r*(0. + (384.*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3)/E^(4.*r^2) -
|
|
(3072.*r)/E^(4.*r^2) + (384.*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + (64.*(0. - 8.*r)^3*r^2)/E^(4.*r^2) -
|
|
24.*(0. - 8.*r)*(-8./E^(4.*r^2) + (64.*r^2)/
|
|
E^(4.*r^2))))/r)*Sin[theta]^2)/4))*(-4 + 1.8*^-15*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 3.0000000000000004*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
1.5000000000000002*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(4 - 12*Cos[2*theta] -
|
|
3.0000000000000004*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 9.*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) + 1.*^-8*(((6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (3*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*(1 -
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
1.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
(3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2)/4))*((3*((-21*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
(9*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*(2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 +
|
|
3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(-1 +
|
|
3*Cos[2*theta] - 6.000000000000001*^-8*(0.375/(E^(4.*r^2)*
|
|
r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta]) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) - 9.*^-8*(-0.75/(E^(4.*r^2)*
|
|
r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)^
|
|
2) + r^2*(1 - 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4) + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/E^
|
|
(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*(
|
|
0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^
|
|
4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
((-1.0000000000000001*^-16*
|
|
((3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(2 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta])))/2 +
|
|
3*Sin[theta]^2*(3.0000000000000004*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Cos[theta]^2 +
|
|
(((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*(-1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-2 + 3*Sin[theta]^2)))/4))^2)/
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 6.000000000000001*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)^
|
|
2 + (4.5*^-16*Cos[theta]^2*(-3.0000000000000004*^-8*
|
|
((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(1 + 3*Cos[2*theta]) +
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*(2 + 3.0000000000000004*^-8*(
|
|
0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(1 +
|
|
3*Cos[2*theta])))*Sin[theta]^2*
|
|
(((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*(1 - 3.0000000000000004*^-8*(
|
|
0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
1.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
(3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)/4)))/
|
|
((2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) -
|
|
(1.*^-8*(((9.*^-8*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. +
|
|
0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)^2*
|
|
(1 + 3*Cos[2*theta]) + 3*((3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^5 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 + (0. - 2./E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + ((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + (-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*r +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^3)*
|
|
(2 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta])) + 6*
|
|
Sin[theta]^2*(3.0000000000000004*^-8*((6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)^2*Cos[theta]^
|
|
2 + 3.0000000000000004*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
((-6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 + (6*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (3*(0. - 2./E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + ((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + (-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^3 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r^2)*
|
|
Cos[theta]^2 + 7.500000000000001*^-9*
|
|
((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
(-2 + 3*Sin[theta]^2) + (((21*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 - (21*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 + (9*(0. - 2./E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r))*(0. - 8.*r))/E^(4.*r^2) + (0.25*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r)*(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*r +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^3 -
|
|
(2*(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r)))/E^(4.*r^2) - 8.*
|
|
((0.5*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. -
|
|
8.*r) - 2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. + 0.25*r) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*r +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(0. -
|
|
8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. -
|
|
8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*
|
|
r)/E^(4.*r^2))))/r^2 + (0. + 32./E^(4.*r^2) +
|
|
0.25*(-8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)) - 8.*(-4./E^(4.*r^2) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2)) - 12.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) + 1.*(128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2)) - 8.*(-4./E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. + 0.25*r)) - 8.*(0.5*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*
|
|
r))*(0. - 8.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. +
|
|
0.25*r)) + ((-8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)) - 4.*(0. - 8.*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r) +
|
|
((-4.*(0. - 8.*r) - 8.*(0.25*(0. - 8.*r) - 2.*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 2.*r) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0.25*(0. -
|
|
8.*r) - 2.*r) + (128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r +
|
|
(32.*(0. - 8.*r)*r)/E^(4.*r^2) + 0.25*(128./
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*(0. - 8.*r)*r -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) - 8.*(-2./E^(4.*r^2) + 0.5*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + 0.25*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) + 0.125*r^2*(-5120./E^(4.*r^2) +
|
|
128.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2)) -
|
|
16.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r) + (1536.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - 24.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)^2 - (72.*(0. - 8.*r)^4)/
|
|
E^(4.*r^2) + (0. - 8.*r)^6/E^(4.*r^2) -
|
|
(2048.*(0. - 8.*r)*r)/E^(4.*r^2)) + 1.*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*
|
|
r)/E^(4.*r^2)) + 0.5*r*(0. + (384.*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3)/E^(4.*r^2) -
|
|
(3072.*r)/E^(4.*r^2) + (384.*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + (64.*(0. - 8.*r)^3*r^2)/E^(4.*r^2) -
|
|
24.*(0. - 8.*r)*(-8./E^(4.*r^2) + (64.*r^2)/
|
|
E^(4.*r^2))))/r)*(-1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)*(-2 + 3*Sin[theta]^2)))/4))*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) -
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 - 3*Sin[theta]^2 +
|
|
3.7500000000000005*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2))/2 - 2.5*^-9*(6*((-3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(2 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta])) -
|
|
(3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*(2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/2 +
|
|
9.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Sin[2*theta]^2)*
|
|
((-3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*(2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 +
|
|
3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(1 -
|
|
3*Cos[2*theta] + 6.000000000000001*^-8*(0.375/(E^(4.*r^2)*
|
|
r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta]) -
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 9.*^-8*(-0.75/(E^(4.*r^2)*
|
|
r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)^
|
|
2))/(2*Sqrt[2]*r))/(Sqrt[2]*r))/2 +
|
|
((I*Csc[theta]*(((-1/2*I)*r*Sin[theta]*(1 - 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/E^
|
|
(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*(
|
|
0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^
|
|
4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^
|
|
(4.*r^2)))/r^4)*(-1 + 3*Sin[theta]^2))*
|
|
((-5.*^-9*(-9.000000000000001*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) +
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r) + 7.500000000000001*^-9*r*
|
|
(-13.125/(E^(4.*r^2)*r^4) - (48*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + (13*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2))))/r^2 + (0. + 1.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2)) -
|
|
(8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/E^(4.*r^2) -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r) -
|
|
2*Csc[theta]^2 + 3.0000000000000004*^-8*r*
|
|
(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(15*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*Csc[theta]^2 + 6.000000000000001*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-3 + Csc[theta]^2))*((3*((-21*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + (9*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 + (0. +
|
|
1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2)/4 + 3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*(1 - 3*Sin[theta]^2)))/
|
|
(r*(7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r) - Csc[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-3 + Csc[theta]^2))*(-2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)) -
|
|
(1.*^-8*(-((3.0000000000000004*^-8*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(-1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(-13.125/(E^(4.*r^2)*r^4) - (48*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
(13*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
((3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)/4 + 3*
|
|
((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(1 - 3*Sin[theta]^2))) + (-2 + 3.0000000000000004*^-8*(
|
|
0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(-1 +
|
|
3*Cos[2*theta]) + 1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
((3*((105*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 - (48*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(13*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^3 -
|
|
(3*(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2))))/r^2 + (0. + 32./E^(4.*r^2) +
|
|
0.25*(-8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)) - 8.*(-4./E^(4.*r^2) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2)) - 12.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) + 1.*(128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2)) - 8.*(-4./E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. + 0.25*r)) - 8.*
|
|
(0.5*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r)) +
|
|
((-8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
4.*(0. - 8.*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r) + ((-4.*(0. - 8.*r) -
|
|
8.*(0.25*(0. - 8.*r) - 2.*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 2.*r) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0.25*(0. -
|
|
8.*r) - 2.*r) + (128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^
|
|
3/E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r + (32.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*(0. - 8.*r)*r -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) - 8.*(-2./E^(4.*r^2) + 0.5*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + 0.25*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) + 0.125*r^2*(-5120./E^(4.*r^2) +
|
|
128.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2)) - 16.*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r) +
|
|
(1536.*(0. - 8.*r)^2)/E^(4.*r^2) - 24.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)^2 -
|
|
(72.*(0. - 8.*r)^4)/E^(4.*r^2) + (0. - 8.*r)^6/
|
|
E^(4.*r^2) - (2048.*(0. - 8.*r)*r)/E^(4.*r^2)) +
|
|
1.*(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)) + 0.5*r*(0. + (384.*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3)/E^(4.*r^2) - (3072.*r)/
|
|
E^(4.*r^2) + (384.*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
(64.*(0. - 8.*r)^3*r^2)/E^(4.*r^2) - 24.*(0. - 8.*r)*
|
|
(-8./E^(4.*r^2) + (64.*r^2)/E^(4.*r^2))))/r)*
|
|
Sin[theta]^2)/4 + 3*((15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^5 - (6*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^3)*(1 -
|
|
3*Sin[theta]^2))))/(-2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)^2 +
|
|
(5.*^-9*(-9.000000000000001*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) +
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r) + 7.500000000000001*^-9*r*
|
|
(-13.125/(E^(4.*r^2)*r^4) - (48*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + (13*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2))))/r^2 + (0. + 1.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2)) -
|
|
(8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/E^(4.*r^2) -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r) -
|
|
2*Csc[theta]^2 + 3.0000000000000004*^-8*r*
|
|
(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(15*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*Csc[theta]^2 + 6.000000000000001*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-3 + Csc[theta]^2))*(-9.*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*Cos[theta]^2*Sin[theta]^2 -
|
|
(3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(1 + 3*Cos[2*theta])*(-1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) -
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2))/2))/
|
|
(r*(7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r) - Csc[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-3 + Csc[theta]^2))*(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) + (1.5000000000000002*^-8*Cos[theta]*
|
|
(-3.0000000000000004*^-8*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(1 + 3*Cos[2*theta]) +
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*(2 + 3.0000000000000004*^-8*(
|
|
0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(1 +
|
|
3*Cos[2*theta])))*(1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Cos[theta] - Cot[theta]*Csc[theta] +
|
|
3*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-6.000000000000001*^-8*Cos[theta] + 1.*^-8*Cot[theta]*Csc[
|
|
theta])))/(r*(7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r) - Csc[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-3 + Csc[theta]^2))*(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2))))/Sqrt[2] +
|
|
((I/2)*r*Sin[theta]*(1 - 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/E^
|
|
(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*(
|
|
0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^
|
|
4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^
|
|
(4.*r^2)))/r^4)*(-1 + 3*Sin[theta]^2))*
|
|
(-1/4*(-9.000000000000001*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) +
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r) + 7.500000000000001*^-9*r*
|
|
(-13.125/(E^(4.*r^2)*r^4) - (48*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + (13*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 + (0. +
|
|
1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r) -
|
|
2*Csc[theta]^2 + 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*
|
|
r^4) - (6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*Csc[theta]^2 +
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(-3 + Csc[theta]^2))^2/
|
|
(r^2*(7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r) - Csc[theta]^2 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-3 + Csc[theta]^2))^2) +
|
|
(7.500000000000001*^-17*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^
|
|
(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^
|
|
(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*(1 + 3*Cos[2*theta])*
|
|
((3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 + (0. +
|
|
1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2)/4 + 3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*(1 - 3*Sin[theta]^2)))/(-2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) + (0.25*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) + 0.5*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*
|
|
(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2) + (1.125*^-16*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)^2 - 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) + (0.25*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) + 0.5*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*
|
|
(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*
|
|
(7.500000000000001*^-9*r^2*(78.75/(E^(4.*r^2)*r^5) +
|
|
(297*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 - (87*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (630*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(19*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^3 -
|
|
(4*(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 32./E^(4.*r^2) + 0.25*(-8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)) -
|
|
8.*(-4./E^(4.*r^2) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r))/E^(4.*r^2)) - 12.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) + 1.*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2)) - 8.*(-4./E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0. + 0.25*r)) - 8.*(0.5*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r)) + ((-8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)) - 4.*(0. - 8.*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r) + ((-4.*(0. - 8.*r) -
|
|
8.*(0.25*(0. - 8.*r) - 2.*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 2.*r) + (-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r) +
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r + (32.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*(0. - 8.*r)*r -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) - 8.*(-2./E^(4.*r^2) + 0.5*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*r) +
|
|
0.125*r^2*(-5120./E^(4.*r^2) + 128.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2)) - 16.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r) +
|
|
(1536.*(0. - 8.*r)^2)/E^(4.*r^2) - 24.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)^2 -
|
|
(72.*(0. - 8.*r)^4)/E^(4.*r^2) + (0. - 8.*r)^6/
|
|
E^(4.*r^2) - (2048.*(0. - 8.*r)*r)/E^(4.*r^2)) +
|
|
1.*(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)) + 0.5*r*(0. + (384.*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. - 8.*r)^3)/E^(4.*r^2) - (3072.*r)/E^(4.*r^2) +
|
|
(384.*(0. - 8.*r)^2*r)/E^(4.*r^2) + (64.*(0. - 8.*r)^3*
|
|
r^2)/E^(4.*r^2) - 24.*(0. - 8.*r)*(-8./E^(4.*r^2) +
|
|
(64.*r^2)/E^(4.*r^2))))/r) + 4*Csc[theta]^2 -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(-1 + 3*Cos[2*theta])*Csc[theta]^2 +
|
|
3.0000000000000004*^-8*r^2*(11.25/(E^(4.*r^2)*r^5) +
|
|
(39*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 - (9*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (90*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^3)*(-3 + Csc[theta]^2)) +
|
|
(2.25*^-16*r^2*(-13.125/(E^(4.*r^2)*r^4) - (48*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + (13*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)^2 +
|
|
9.*^-16*r^2*(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^5)*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 + (0. +
|
|
1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
(-1 + 3*Cos[2*theta])*Csc[theta]^2 + 9.*^-16*r^2*
|
|
(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)^2*
|
|
(1 - 3*Cos[2*theta])^2*Csc[theta]^4 + 1.8*^-15*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 - 3*Cos[2*theta])^2*Csc[theta]^4 + 4*Csc[theta]^2*
|
|
(7.500000000000001*^-9*r^2*(78.75/(E^(4.*r^2)*r^5) +
|
|
(297*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 - (87*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (630*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(19*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^3 -
|
|
(4*(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2))))/r^2 + (0. + 32./E^(4.*r^2) +
|
|
0.25*(-8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)) - 8.*(-4./E^(4.*r^2) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2)) - 12.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) + 1.*(128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2)) - 8.*(-4./E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. + 0.25*r)) - 8.*
|
|
(0.5*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r)) +
|
|
((-8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
4.*(0. - 8.*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r) + ((-4.*(0. - 8.*r) -
|
|
8.*(0.25*(0. - 8.*r) - 2.*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 2.*r) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0.25*(0. -
|
|
8.*r) - 2.*r) + (128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^
|
|
3/E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r + (32.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*(0. - 8.*r)*r -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) - 8.*(-2./E^(4.*r^2) + 0.5*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + 0.25*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) + 0.125*r^2*(-5120./E^(4.*r^2) +
|
|
128.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2)) - 16.*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r) +
|
|
(1536.*(0. - 8.*r)^2)/E^(4.*r^2) - 24.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)^2 -
|
|
(72.*(0. - 8.*r)^4)/E^(4.*r^2) + (0. - 8.*r)^6/
|
|
E^(4.*r^2) - (2048.*(0. - 8.*r)*r)/E^(4.*r^2)) +
|
|
1.*(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)) + 0.5*r*(0. + (384.*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3)/E^(4.*r^2) - (3072.*r)/
|
|
E^(4.*r^2) + (384.*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
(64.*(0. - 8.*r)^3*r^2)/E^(4.*r^2) - 24.*(0. - 8.*r)*
|
|
(-8./E^(4.*r^2) + (64.*r^2)/E^(4.*r^2))))/r) + 2*
|
|
Csc[theta]^2 + 3.0000000000000004*^-8*r^2*
|
|
(11.25/(E^(4.*r^2)*r^5) + (39*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^5 -
|
|
(9*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (90*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^3)*(-3 +
|
|
Csc[theta]^2)) - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta])*Csc[theta]^4*(8 + 3.0000000000000004*^-8*
|
|
r^2*(11.25/(E^(4.*r^2)*r^5) + (39*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^5 -
|
|
(9*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (90*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^3)*(-1 +
|
|
3*Cos[2*theta]) + 1.5000000000000002*^-8*r^2*
|
|
(78.75/(E^(4.*r^2)*r^5) + (297*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^5 -
|
|
(87*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (630*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(19*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^3 -
|
|
(4*(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2))))/r^2 + (0. + 32./E^(4.*r^2) +
|
|
0.25*(-8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)) - 8.*(-4./E^(4.*r^2) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2)) - 12.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) + 1.*(128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2)) - 8.*(-4./E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. + 0.25*r)) - 8.*
|
|
(0.5*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r)) +
|
|
((-8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
4.*(0. - 8.*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r) + ((-4.*(0. - 8.*r) -
|
|
8.*(0.25*(0. - 8.*r) - 2.*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 2.*r) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0.25*(0. -
|
|
8.*r) - 2.*r) + (128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^
|
|
3/E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r + (32.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*(0. - 8.*r)*r -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) - 8.*(-2./E^(4.*r^2) + 0.5*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + 0.25*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) + 0.125*r^2*(-5120./E^(4.*r^2) +
|
|
128.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2)) - 16.*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r) +
|
|
(1536.*(0. - 8.*r)^2)/E^(4.*r^2) - 24.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)^2 -
|
|
(72.*(0. - 8.*r)^4)/E^(4.*r^2) + (0. - 8.*r)^6/
|
|
E^(4.*r^2) - (2048.*(0. - 8.*r)*r)/E^(4.*r^2)) +
|
|
1.*(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)) + 0.5*r*(0. + (384.*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3)/E^(4.*r^2) - (3072.*r)/
|
|
E^(4.*r^2) + (384.*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
(64.*(0. - 8.*r)^3*r^2)/E^(4.*r^2) - 24.*(0. - 8.*r)*
|
|
(-8./E^(4.*r^2) + (64.*r^2)/E^(4.*r^2))))/r)*
|
|
Sin[theta]^2))/4)/(2*r^2*(7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r) - Csc[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(-3 + Csc[theta]^
|
|
2))^2) + (7.500000000000001*^-9*
|
|
(4*r*(3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (5*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2) - 1.8*^-7*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*(1 + 3*Cos[2*theta]) - (-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-4 + 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(1 +
|
|
3*Cos[2*theta])) + 6*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(-2 + 1.*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(1 +
|
|
3*Cos[2*theta]) + 1.*^-8*r*(3.75/(E^(4.*r^2)*r^4) +
|
|
(15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (5*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*(1 +
|
|
3*Cos[2*theta])))*Csc[theta]*(1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Cos[theta] - Cot[theta]*Csc[theta] +
|
|
3*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-6.000000000000001*^-8*Cos[theta] + 1.*^-8*Cot[theta]*Csc[
|
|
theta]))*Sin[2*theta])/(r^2*(7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r) - Csc[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-3 + Csc[theta]^2))*(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) + (2.5*^-9*(-9.000000000000001*^-8*r*
|
|
(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(15*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5) + 1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r) + 7.500000000000001*^-9*r*
|
|
(-13.125/(E^(4.*r^2)*r^4) - (48*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + (13*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2))))/r^2 + (0. + 1.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2)) -
|
|
(8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/E^(4.*r^2) -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r) -
|
|
2*Csc[theta]^2 + 3.0000000000000004*^-8*r*
|
|
(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(15*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*Csc[theta]^2 + 6.000000000000001*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-3 + Csc[theta]^2))*(-3*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(1 + 3*Cos[2*theta])*(1 + 7.500000000000001*^-9*(
|
|
2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
9.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2 +
|
|
9.*^-8*r*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (5*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*Sin[2*theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(3*r*(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(1 +
|
|
3*Cos[2*theta]) - 9*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*Sin[2*theta]^
|
|
2)))/(r^2*(7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r) - Csc[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-3 + Csc[theta]^2))*(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2))))/Sqrt[2]))/(Sqrt[2]*r) -
|
|
((-3.0000000000000004*^-8*r*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*Cos[theta]*Sin[theta]*
|
|
((-3.0000000000000004*^-16*Cos[theta]*Sin[theta]*
|
|
(-9.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^
|
|
4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*Cos[theta]^2*Sin[theta]^2 -
|
|
(3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(1 + 3*Cos[2*theta])*(-1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) -
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2))/2)*
|
|
(-1.8*^-7*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2 +
|
|
6*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 1.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(-2 + 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2)))/(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)^
|
|
2 + (3.0000000000000004*^-16*Cos[theta]*Sin[theta]*
|
|
(-1.8*^-7*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2 +
|
|
6*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 1.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(-2 + 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2))*((3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^5)*(2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta])))/2 + 3*Sin[theta]^2*
|
|
(3.0000000000000004*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Cos[theta]^2 +
|
|
(((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*(-1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-2 + 3*Sin[theta]^2)))/4)))/
|
|
((2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 6.000000000000001*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) + (1.5000000000000002*^-8*Cos[theta]*
|
|
(-3.0000000000000004*^-8*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(1 + 3*Cos[2*theta]) +
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*(2 + 3.0000000000000004*^-8*(
|
|
0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(1 +
|
|
3*Cos[2*theta])))*Sin[theta]*
|
|
(1.8*^-15*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2 +
|
|
(1 + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(2 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) +
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2) - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(4 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) +
|
|
6.000000000000001*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*Cos[2*theta] +
|
|
3.0000000000000004*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2) + 6.000000000000001*^-8*(-0.75/(E^(4.*r^2)*
|
|
r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^
|
|
3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(Cos[2*theta] -
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^4)))/
|
|
((-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 6.000000000000001*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) + (1.5000000000000002*^-16*Cos[theta]*
|
|
Sin[theta]*(((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^
|
|
4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*(1 - 3.0000000000000004*^-8*(
|
|
0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
1.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
(3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)/4))*
|
|
(-3*r*(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(15*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*(1 + 3*Cos[2*theta])*(1 + 7.500000000000001*^-9*(
|
|
2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
9.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2 +
|
|
9.*^-8*r*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (5*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*Sin[2*theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(3*r*(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(1 +
|
|
3*Cos[2*theta]) - 9*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*Sin[2*theta]^
|
|
2)))/((2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) + (7.500000000000001*^-9*Sin[2*theta]*
|
|
(-8.*^-8*(9.*^-8*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2 +
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)/4 -
|
|
3.0000000000000004*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Cos[
|
|
2*theta] + 3*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(-1 +
|
|
2.5*^-9*(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(-1 +
|
|
3*Cos[2*theta])))*(-9.*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(1 + 3*Cos[2*theta])*(-1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) -
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2))/
|
|
2) + (3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(1 -
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + ((2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1.*^-8 -
|
|
3.0000000000000004*^-8*Cos[2*theta]))/4) +
|
|
3.0000000000000004*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Cos[2*theta])*
|
|
(-8 + 3.6*^-15*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*(1 +
|
|
3*Cos[2*theta]) - 6.000000000000001*^-8*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(4 - 12*Cos[2*theta] -
|
|
3.0000000000000004*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 1.8*^-15*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^
|
|
2)))/(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)^
|
|
2 - (3.0000000000000004*^-8*Cos[theta]*Sin[theta]*
|
|
(-((((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*
|
|
(1 - 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
1.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
(3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
r^2))/r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r)*(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*r +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
r + 0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r) +
|
|
0.5*r*(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (192.*(0. - 8.*r)*r)/E^(4.*r^2) -
|
|
(8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*Sin[theta]^2)/
|
|
4))*(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) +
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-1 + 3*Cos[2*theta] +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) - r*(((-30*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^5 + (15*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 + (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 -
|
|
(5*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^3 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r^2)*(1 -
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) -
|
|
1.*^-8*((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*(
|
|
3*(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
(3*(-13.125/(E^(4.*r^2)*r^4) - (48*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2)/4) + 1.*^-8*(3.75/(E^(4.*r^2)*r^4) +
|
|
(15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (5*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*(
|
|
3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
(3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2)/4) + 1.*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
3*((15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 - (6*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^3) -
|
|
(3*((105*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 - (48*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(13*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^3 -
|
|
(3*(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r)))/E^(4.*r^2) - 8.*
|
|
((0.5*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. -
|
|
8.*r) - 2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. + 0.25*r) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*r +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(0. -
|
|
8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2))))/
|
|
r^2 + (0. + 32./E^(4.*r^2) + 0.25*(-8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. -
|
|
8.*r)) - 8.*(-4./E^(4.*r^2) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2)) -
|
|
12.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
1.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2)) - 8.*(-4./E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. + 0.25*r)) - 8.*
|
|
(0.5*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r)*(0. + 0.25*r)) + ((-8.*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r)) - 4.*(0. - 8.*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r) +
|
|
((-4.*(0. - 8.*r) - 8.*(0.25*(0. - 8.*r) - 2.*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 2.*r) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0.25*(0. -
|
|
8.*r) - 2.*r) + (128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r +
|
|
(32.*(0. - 8.*r)*r)/E^(4.*r^2) + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*(0. - 8.*r)*r - 8.*(0.25*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) - 8.*(-2./E^(4.*r^2) + 0.5*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + 0.25*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) + 0.125*r^2*(-5120./E^(4.*r^2) +
|
|
128.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2)) - 16.*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. -
|
|
8.*r) + (1536.*(0. - 8.*r)^2)/E^(4.*r^2) -
|
|
24.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)^2 - (72.*(0. - 8.*r)^4)/E^(4.*r^2) +
|
|
(0. - 8.*r)^6/E^(4.*r^2) - (2048.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)) + 1.*(192./E^(4.*r^2) - (24.*(0. - 8.*r)^
|
|
2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/E^(4.*r^2) -
|
|
(8.*(0. - 8.*r)^3*r)/E^(4.*r^2)) + 0.5*r*(0. +
|
|
(384.*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) - (3072.*r)/E^(4.*r^2) + (384.*(0. - 8.*r)^
|
|
2*r)/E^(4.*r^2) + (64.*(0. - 8.*r)^3*r^2)/
|
|
E^(4.*r^2) - 24.*(0. - 8.*r)*(-8./E^(4.*r^2) +
|
|
(64.*r^2)/E^(4.*r^2))))/r)*Sin[theta]^2)/4))*
|
|
(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*(1 +
|
|
3*Cos[2*theta]) + 1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-1 + 3*Cos[2*theta] +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^
|
|
2) + 1.*^-8*r*(((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (3*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*(1 -
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
1.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
(3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2)/4))*((3*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*(2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 +
|
|
3*(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(-1 +
|
|
3*Cos[2*theta] - 6.000000000000001*^-8*(0.375/(E^(4.*r^2)*
|
|
r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta]) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) - 9.*^-8*(-0.75/(E^(4.*r^2)*
|
|
r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (5*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)^
|
|
2) + r^2*(1 - 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4) + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/E^
|
|
(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*(
|
|
0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^
|
|
4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
((5.*^-9*(-9.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^
|
|
4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*Cos[theta]^2*Sin[theta]^2 -
|
|
(3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(1 + 3*Cos[2*theta])*(-1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) -
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2))/2)*
|
|
(r*(2 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 1.5000000000000002*^-8*(
|
|
2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2)*(-1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*
|
|
r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-2 + 3*Sin[theta]^2)) +
|
|
1.35*^-15*r*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*Sin[2*theta]^2))/
|
|
(r^2*(9.*^-16*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)^2*Cos[theta]^2*Sin[theta]^2 -
|
|
(1 - 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 7.500000000000001*^-9*(
|
|
2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(2 - 3*Sin[theta]^2)))*
|
|
(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) -
|
|
(5.*^-9*((3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(2 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta])))/2 +
|
|
3*Sin[theta]^2*(3.0000000000000004*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Cos[theta]^2 +
|
|
(((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*(-1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-2 + 3*Sin[theta]^2)))/4))*
|
|
(r*(2 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 1.5000000000000002*^-8*(
|
|
2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2)*(-1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*
|
|
r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-2 + 3*Sin[theta]^2)) +
|
|
1.35*^-15*r*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*Sin[2*theta]^2))/
|
|
(r^2*(9.*^-16*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)^2*Cos[theta]^2*Sin[theta]^2 -
|
|
(1 - 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 7.500000000000001*^-9*(
|
|
2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(2 - 3*Sin[theta]^2)))*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 6.000000000000001*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) - (4.5*^-16*Cos[theta]^2*
|
|
(-3.0000000000000004*^-8*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(1 + 3*Cos[2*theta]) +
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*(2 + 3.0000000000000004*^-8*(
|
|
0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(1 +
|
|
3*Cos[2*theta])))*Sin[theta]^2*(6.000000000000001*^-8*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)^2*Cos[2*theta] -
|
|
((2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*(2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta])))/4 + (-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(2 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 1.5000000000000002*^-8*(
|
|
2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2)))/(r*(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) + (2.25*^-16*Cos[theta]*
|
|
(4*r*(3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (5*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2) - 1.8*^-7*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*(1 + 3*Cos[2*theta]) - (-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-4 + 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(1 +
|
|
3*Cos[2*theta])) + 6*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(-2 + 1.*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(1 +
|
|
3*Cos[2*theta]) + 1.*^-8*r*(3.75/(E^(4.*r^2)*r^4) +
|
|
(15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (5*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*(1 +
|
|
3*Cos[2*theta])))*Sin[theta]*
|
|
(((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*(1 - 3.0000000000000004*^-8*(
|
|
0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
1.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
(3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)/4))*Sin[2*theta])/
|
|
(r*(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) + (1.5000000000000002*^-8*
|
|
(3.0000000000000004*^-8*(9.*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2 + (2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)/4 -
|
|
3.0000000000000004*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Cos[
|
|
2*theta] + 3*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(-1 +
|
|
2.5*^-9*(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(-1 +
|
|
3*Cos[2*theta])))*(-3.0000000000000004*^-8*(
|
|
(-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(
|
|
-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(1 +
|
|
3*Cos[2*theta]) + ((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (3*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*(2 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta])))*
|
|
Sin[2*theta]^2 + Cos[theta]^2*(-3.0000000000000004*^-8*(
|
|
(-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(
|
|
-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(1 +
|
|
3*Cos[2*theta]) + ((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (3*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*(2 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta])))*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*(1 +
|
|
3*Cos[2*theta]) - 1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-1 + 3*Cos[2*theta] +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^
|
|
2) - (-3.0000000000000004*^-8*((-3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(
|
|
-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(1 +
|
|
3*Cos[2*theta]) + ((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (3*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*(2 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta])))*Sin[theta]^2*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*(1 +
|
|
3*Cos[2*theta]) - 1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-1 + 3*Cos[2*theta] +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^
|
|
2) + 6.000000000000001*^-8*(3*((-3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(
|
|
-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) -
|
|
3*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2))*Cos[theta]*
|
|
Sin[theta]*Sin[2*theta]*(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) -
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-1 + 3*Cos[2*theta] +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^
|
|
2)))/(r*(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) +
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)^2) -
|
|
(2.5*^-9*(2*(9.000000000000001*^-8*((-3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(-1.875/
|
|
(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(1 +
|
|
3*Cos[2*theta]) + 3*((15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^5 - (6*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^3)*(2 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta])) +
|
|
6*Sin[theta]^2*(3.0000000000000004*^-8*(3.75/(E^(4.*r^2)*r^4) +
|
|
(15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (5*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Cos[theta]^2 +
|
|
3.0000000000000004*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
((-30*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 + (15*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 + (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 -
|
|
(5*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^3 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r^2)*Cos[theta]^2 + 7.500000000000001*^-9*
|
|
(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*(-2 + 3*Sin[theta]^2) +
|
|
(((105*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 - (48*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(13*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^3 -
|
|
(3*(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r)))/E^(4.*r^2) - 8.*
|
|
((0.5*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. -
|
|
8.*r) - 2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. + 0.25*r) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*r +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(0. -
|
|
8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2))))/
|
|
r^2 + (0. + 32./E^(4.*r^2) + 0.25*(-8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. -
|
|
8.*r)) - 8.*(-4./E^(4.*r^2) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2)) -
|
|
12.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
1.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2)) - 8.*(-4./E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. + 0.25*r)) - 8.*
|
|
(0.5*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r)*(0. + 0.25*r)) + ((-8.*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r)) - 4.*(0. - 8.*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r) +
|
|
((-4.*(0. - 8.*r) - 8.*(0.25*(0. - 8.*r) - 2.*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 2.*r) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0.25*(0. -
|
|
8.*r) - 2.*r) + (128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r +
|
|
(32.*(0. - 8.*r)*r)/E^(4.*r^2) + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*(0. - 8.*r)*r - 8.*(0.25*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) - 8.*(-2./E^(4.*r^2) + 0.5*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + 0.25*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) + 0.125*r^2*(-5120./E^(4.*r^2) +
|
|
128.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2)) - 16.*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. -
|
|
8.*r) + (1536.*(0. - 8.*r)^2)/E^(4.*r^2) -
|
|
24.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)^2 - (72.*(0. - 8.*r)^4)/E^(4.*r^2) +
|
|
(0. - 8.*r)^6/E^(4.*r^2) - (2048.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)) + 1.*(192./E^(4.*r^2) - (24.*(0. - 8.*r)^
|
|
2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/E^(4.*r^2) -
|
|
(8.*(0. - 8.*r)^3*r)/E^(4.*r^2)) + 0.5*r*(0. +
|
|
(384.*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) - (3072.*r)/E^(4.*r^2) + (384.*(0. - 8.*r)^
|
|
2*r)/E^(4.*r^2) + (64.*(0. - 8.*r)^3*r^2)/
|
|
E^(4.*r^2) - 24.*(0. - 8.*r)*(-8./E^(4.*r^2) +
|
|
(64.*r^2)/E^(4.*r^2))))/r)*(-1 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-2 + 3*Sin[theta]^2)))/4))*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*(1 +
|
|
3*Cos[2*theta]) - 1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 - 3*Sin[theta]^2 +
|
|
3.7500000000000005*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^
|
|
2) + 1.*^-8*((-3*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*(2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 +
|
|
3*(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(1 -
|
|
3*Cos[2*theta] + 6.000000000000001*^-8*(0.375/(E^(4.*r^2)*
|
|
r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta]) -
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 9.*^-8*(-0.75/(E^(4.*r^2)*
|
|
r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (5*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Sin[2*theta]^2)*
|
|
(-6*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(2 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta])) +
|
|
(3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*(2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/2 -
|
|
9.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)^
|
|
2))/(2*Sqrt[2]*r) -
|
|
(r^2*(1 - 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4) + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/E^
|
|
(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*(
|
|
0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^
|
|
4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(-1/4*(r*(2 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(-1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-2 + 3*Sin[theta]^2)) +
|
|
1.35*^-15*r*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)*Sin[2*theta]^2)^2/
|
|
(r^4*(9.*^-16*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Cos[theta]^
|
|
2*Sin[theta]^2 - (1 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*(1 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(2 - 3*Sin[theta]^2)))^2) +
|
|
(7.500000000000001*^-17*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^
|
|
(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^
|
|
(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*(1 + 3*Cos[2*theta])*
|
|
((3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(2 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta])))/2 +
|
|
3*Sin[theta]^2*(3.0000000000000004*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Cos[theta]^2 +
|
|
(((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*(-1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-2 + 3*Sin[theta]^2)))/4)))/
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) + (0.25*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) + 0.5*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*
|
|
(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2 - 6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) +
|
|
4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*Sin[2*theta]^2) +
|
|
(2.25*^-16*((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^5 + (0. - 2./E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/E^
|
|
(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r)*r + 0.125*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*r^2 -
|
|
8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*
|
|
Cos[theta]^2*(-3.0000000000000004*^-8*((-3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(1 + 3*Cos[2*theta]) +
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*(2 + 3.0000000000000004*^-8*(
|
|
0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(1 +
|
|
3*Cos[2*theta])))*Sin[theta]^2)/
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) + (0.25*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) + 0.5*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*
|
|
(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2 - 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) +
|
|
4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*Sin[2*theta]^2) + (2.25*^-16*Cos[theta]*
|
|
(4*r*(3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (5*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2) - 1.8*^-7*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*(1 + 3*Cos[2*theta]) - (-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-4 + 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(1 +
|
|
3*Cos[2*theta])) + 6*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(-2 + 1.*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(1 +
|
|
3*Cos[2*theta]) + 1.*^-8*r*(3.75/(E^(4.*r^2)*r^4) +
|
|
(15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (5*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*(1 +
|
|
3*Cos[2*theta])))*Sin[theta]*
|
|
(-1.8*^-7*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2 +
|
|
6*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 1.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(-2 + 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2))*Sin[2*theta])/
|
|
(r^2*(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) - (2.25*^-16*Cos[theta]*
|
|
(4*r*(3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (5*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2) - 1.8*^-7*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*(1 + 3*Cos[2*theta]) - (-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-4 + 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(1 +
|
|
3*Cos[2*theta])) + 6*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(-2 + 1.*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(1 +
|
|
3*Cos[2*theta]) + 1.*^-8*r*(3.75/(E^(4.*r^2)*r^4) +
|
|
(15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (5*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*(1 +
|
|
3*Cos[2*theta])))*Sin[theta]*(6.000000000000001*^-8*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)^2*Cos[2*theta] -
|
|
((2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*(2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta])))/4 + (-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(2 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 1.5000000000000002*^-8*(
|
|
2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2))*Sin[2*theta])/
|
|
(r^2*(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) +
|
|
(2.5*^-9*(r*(2 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 1.5000000000000002*^-8*(
|
|
2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2)*(-1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*
|
|
r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-2 + 3*Sin[theta]^2)) +
|
|
1.35*^-15*r*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*Sin[2*theta]^2)*(-3*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(1 + 3*Cos[2*theta])*(1 + 7.500000000000001*^-9*(
|
|
2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
9.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2 +
|
|
9.*^-8*r*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (5*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*Sin[2*theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(3*r*(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(1 +
|
|
3*Cos[2*theta]) - 9*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*Sin[2*theta]^
|
|
2)))/(r^3*(9.*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Cos[theta]^2*
|
|
Sin[theta]^2 - (1 - 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*
|
|
r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 7.500000000000001*^-9*(
|
|
2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(2 - 3*Sin[theta]^2)))*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) + (7.500000000000001*^-9*
|
|
(-6.000000000000001*^-8*(9.*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2 + (2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)/4 -
|
|
3.0000000000000004*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Cos[
|
|
2*theta] + 3*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(-1 +
|
|
2.5*^-9*(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(-1 +
|
|
3*Cos[2*theta])))*(-4*r*(3.75/(E^(4.*r^2)*r^4) +
|
|
(15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (5*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2) +
|
|
1.8*^-7*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*(1 +
|
|
3*Cos[2*theta]) + (-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(-4 +
|
|
3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(1 + 3*Cos[2*theta])) - 6*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-2 + 1.*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta]) + 1.*^-8*r*(3.75/(E^(4.*r^2)*r^4) +
|
|
(15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (5*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*
|
|
(1 + 3*Cos[2*theta])))*Sin[2*theta]^2 + 2*Cos[2*theta]*
|
|
(4*r*(3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (5*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2) -
|
|
1.8*^-7*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*(1 +
|
|
3*Cos[2*theta]) - (-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(-4 +
|
|
3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(1 + 3*Cos[2*theta])) + 6*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-2 + 1.*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta]) + 1.*^-8*r*(3.75/(E^(4.*r^2)*r^4) +
|
|
(15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (5*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*
|
|
(1 + 3*Cos[2*theta])))*(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*
|
|
r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) -
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-1 + 3*Cos[2*theta] +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^
|
|
2) + 6.000000000000001*^-8*(18*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2 + 3*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(
|
|
-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) -
|
|
6*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
r*(3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(5*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)))*Sin[2*theta]^2*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*(1 +
|
|
3*Cos[2*theta]) - 1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-1 + 3*Cos[2*theta] +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^
|
|
2)))/(r^2*(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) +
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)^2) -
|
|
(-2*(9.*^-16*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Cos[theta]^2*
|
|
Sin[theta]^2 - (1 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(2 - 3*Sin[theta]^2)))*
|
|
(r*(2 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(-1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-2 + 3*Sin[theta]^2)) +
|
|
1.35*^-15*r*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)*Sin[2*theta]^2) +
|
|
r*(9.*^-16*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Cos[theta]^2*
|
|
Sin[theta]^2 - (1 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(2 - 3*Sin[theta]^2)))*
|
|
(3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(-2 + 3*Sin[theta]^2)*(2 - 3.0000000000000004*^-8*r*
|
|
(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
(2 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(-1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-2 + 3*Sin[theta]^2)) +
|
|
1.*^-8*r*(-9*(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) - 3*r*
|
|
(11.25/(E^(4.*r^2)*r^5) + (39*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^5 -
|
|
(9*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (90*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^3) +
|
|
(9*(-13.125/(E^(4.*r^2)*r^4) - (48*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
(13*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)/4 + (3*r*
|
|
(78.75/(E^(4.*r^2)*r^5) + (297*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^5 -
|
|
(87*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (630*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(19*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^3 -
|
|
(4*(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^
|
|
3/E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 32./E^(4.*r^2) + 0.25*(-8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. -
|
|
8.*r)) - 8.*(-4./E^(4.*r^2) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2)) -
|
|
12.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
1.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2)) - 8.*(-4./E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. + 0.25*r)) - 8.*
|
|
(0.5*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. +
|
|
0.25*r)) + ((-8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)) - 4.*(0. - 8.*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r) +
|
|
((-4.*(0. - 8.*r) - 8.*(0.25*(0. - 8.*r) - 2.*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 2.*r) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0.25*(0. -
|
|
8.*r) - 2.*r) + (128./E^(4.*r^2) - 8.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r +
|
|
(32.*(0. - 8.*r)*r)/E^(4.*r^2) + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*(0. - 8.*r)*r - 8.*(0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*r) -
|
|
8.*(-2./E^(4.*r^2) + 0.5*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) + 0.125*r^2*(-5120./E^(4.*r^2) +
|
|
128.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2)) - 16.*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r) +
|
|
(1536.*(0. - 8.*r)^2)/E^(4.*r^2) - 24.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)^2 - (72.*(0. - 8.*r)^4)/E^(4.*r^2) +
|
|
(0. - 8.*r)^6/E^(4.*r^2) - (2048.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)) + 1.*(192./E^(4.*r^2) - (24.*(0. - 8.*r)^
|
|
2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/E^(4.*r^2) -
|
|
(8.*(0. - 8.*r)^3*r)/E^(4.*r^2)) + 0.5*r*(0. +
|
|
(384.*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) - (3072.*r)/E^(4.*r^2) + (384.*(0. - 8.*r)^
|
|
2*r)/E^(4.*r^2) + (64.*(0. - 8.*r)^3*r^2)/
|
|
E^(4.*r^2) - 24.*(0. - 8.*r)*(-8./E^(4.*r^2) +
|
|
(64.*r^2)/E^(4.*r^2))))/r)*Sin[theta]^2)/4)*
|
|
(-1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-2 + 3*Sin[theta]^2)) +
|
|
1.35*^-15*r*(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^5)*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*Sin[2*theta]^2 +
|
|
1.35*^-15*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)*Sin[2*theta]^2 +
|
|
1.35*^-15*r*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (5*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*Sin[2*theta]^2) -
|
|
r*(r*(2 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(-1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-2 + 3*Sin[theta]^2)) +
|
|
1.35*^-15*r*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)*Sin[2*theta]^2)*
|
|
(3.0000000000000004*^-8*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(-2 + 3*Sin[theta]^2)*(1 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
1.*^-8*(3*(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
(3*(-13.125/(E^(4.*r^2)*r^4) - (48*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
(13*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)/4)*
|
|
(1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(2 - 3*Sin[theta]^2)) +
|
|
4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)*(3.75/(E^(4.*r^2)*r^4) +
|
|
(15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (5*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*Sin[2*theta]^2))/
|
|
(2*r^3*(-9.*^-16*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Cos[theta]^2*
|
|
Sin[theta]^2 + (1 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(2 - 3*Sin[theta]^2)))^2)) -
|
|
3.0000000000000004*^-8*r*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*Cos[theta]*Sin[theta]*
|
|
((1.5000000000000002*^-16*r*((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (3*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2))/r^3 -
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5 + (0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r)*r + 0.125*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*r^2 -
|
|
8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*
|
|
Cos[theta]*Sin[theta]*(-9.*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*Cos[theta]^2*Sin[theta]^2 -
|
|
(3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(1 + 3*Cos[2*theta])*(-1 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) -
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2))/2))/
|
|
(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) + (0.25*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) + 0.5*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*
|
|
(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) -
|
|
4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*Sin[2*theta]^2) -
|
|
(2.25*^-16*r*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^3 +
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^5)*Cos[theta]*(1 + 3*Cos[2*theta])*Sin[theta]*
|
|
(((6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 -
|
|
(3*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2)*(1 - 3.0000000000000004*^-8*(
|
|
0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
1.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(3*((-3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
(3*((-21*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(2*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2)/4)))/
|
|
(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) + (0.25*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) + 0.5*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*
|
|
(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) -
|
|
4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*Sin[2*theta]^2) + (1.5000000000000002*^-8*Cos[theta]*
|
|
Sin[theta]*(-1.8*^-7*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2 +
|
|
6*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 1.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(-2 + 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2))*(r*(2 - 3.0000000000000004*^-8*r*(
|
|
-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 1.5000000000000002*^-8*(
|
|
2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2)*(-1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*
|
|
r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-2 + 3*Sin[theta]^2)) +
|
|
1.35*^-15*r*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/
|
|
E^(4.*r^2) - (2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + 0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r^2)/r^2 +
|
|
(6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*Sin[2*theta]^2))/
|
|
(r^2*(9.*^-16*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*
|
|
r^2)/E^(4.*r^2)))/r^4)^2*Cos[theta]^2*Sin[theta]^2 -
|
|
(1 - 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 7.500000000000001*^-9*(
|
|
2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(1 + 3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(2 - 3*Sin[theta]^2)))*
|
|
(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) + (7.500000000000001*^-9*
|
|
(4*r*(3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (5*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r^2) - 1.8*^-7*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*(1 + 3*Cos[2*theta]) - (-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-4 + 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(1 +
|
|
3*Cos[2*theta])) + 6*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)*(-2 + 1.*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(1 +
|
|
3*Cos[2*theta]) + 1.*^-8*r*(3.75/(E^(4.*r^2)*r^4) +
|
|
(15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (5*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*(1 +
|
|
3*Cos[2*theta])))*(1.8*^-15*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2 + (1 + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2)*
|
|
(2 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) +
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2) - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(4 - 3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) +
|
|
6.000000000000001*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*Cos[2*theta] +
|
|
3.0000000000000004*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)))/
|
|
E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2)) - (12.*(0. - 8.*r))/E^(4.*r^2) +
|
|
0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2) + 6.000000000000001*^-8*(-0.75/(E^(4.*r^2)*
|
|
r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^
|
|
3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(Cos[2*theta] -
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^4))*
|
|
Sin[2*theta])/(r*(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/
|
|
r^4)^2*(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 6.000000000000001*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 - 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)) - (3.0000000000000004*^-8*Cos[theta]*Sin[theta]*
|
|
(((4.5000000000000006*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3*(-1.875/(E^(4.*r^2)*
|
|
r^4) - (6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(2 - 1.2000000000000002*^-7*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) + 3.0000000000000004*^-8*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
1.*^-8*r*(3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 - (5*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2) +
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
(3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (5*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*(-2 +
|
|
6.000000000000001*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4) - 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r) + 0.5*r*(192./E^(4.*r^2) -
|
|
(24.*(0. - 8.*r)^2)/E^(4.*r^2) + (192.*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*
|
|
Sin[theta]^2) + 1.*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
((-9*(-13.125/(E^(4.*r^2)*r^4) - (48*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r)*(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*r +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. + 0.25*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) - 2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + 0.25*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*
|
|
r + 0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r) +
|
|
0.5*r*(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (192.*(0. - 8.*r)*r)/E^(4.*r^2) -
|
|
(8.*(0. - 8.*r)^3*r)/E^(4.*r^2)))/r)*Sin[theta]^2)/
|
|
4 + r*(3*(11.25/(E^(4.*r^2)*r^5) + (39*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 - (9*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (90*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r)*(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*r +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^3) -
|
|
(3*(78.75/(E^(4.*r^2)*r^5) + (297*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^5 - (87*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^4 - (630*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^6 +
|
|
(19*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r)*(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*r +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^3 -
|
|
(4*(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. -
|
|
8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./
|
|
E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. -
|
|
8.*r) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*
|
|
(0. - 8.*r)^2)/E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0.25*(0. -
|
|
8.*r) - 2.*r))/E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. + 0.25*r) +
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*r +
|
|
0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(0. - 8.*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) + (640.*(0. - 8.*r))/E^(4.*r^2) -
|
|
16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. - 8.*r) - (56.*(0. - 8.*r)^3)/E^(4.*r^2) +
|
|
(0. - 8.*r)^5/E^(4.*r^2))*r^2 - 8.*((0.5*(0. -
|
|
8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*(192./
|
|
E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*
|
|
r)/E^(4.*r^2))))/r^2 + (0. + 32./E^(4.*r^2) +
|
|
0.25*(-8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*
|
|
r^2)) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)) -
|
|
8.*(-4./E^(4.*r^2) + ((0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r))*(0. - 8.*r))/E^(4.*r^2)) - 12.*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
1.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2)) -
|
|
8.*(-4./E^(4.*r^2) + ((0. - 8.*r)*(0.25*(0. - 8.*r) -
|
|
2.*r))/E^(4.*r^2)) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 8.*(0. + 0.25*r)) -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*
|
|
r^2)) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. + 0.25*r)) -
|
|
8.*(0.5*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2)) + ((0.25*(0. - 8.*r) - 8.*(0. + 0.25*
|
|
r))*(0. - 8.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. +
|
|
0.25*r)) + ((-8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)) - 4.*(0. - 8.*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r) +
|
|
((-4.*(0. - 8.*r) - 8.*(0.25*(0. - 8.*r) - 2.*r))*
|
|
(0. - 8.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r) + ((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*
|
|
(0.25*(0. - 8.*r) - 2.*r) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r) + (128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) + 0.5*
|
|
(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r +
|
|
(32.*(0. - 8.*r)*r)/E^(4.*r^2) + 0.25*(128./
|
|
E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*(0. - 8.*r)*r -
|
|
8.*(0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*
|
|
r^2)) + 0.25*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r) - 8.*(-2./E^(4.*r^2) +
|
|
0.5*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + 0.25*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r) + 0.125*r^2*(-5120./E^(4.*r^2) +
|
|
128.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
8.*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2)) - 16.*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*(0. - 8.*r) + (1536.*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - 24.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)^2 - (72.*(0. - 8.*r)^4)/
|
|
E^(4.*r^2) + (0. - 8.*r)^6/E^(4.*r^2) -
|
|
(2048.*(0. - 8.*r)*r)/E^(4.*r^2)) + 1.*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*
|
|
r)/E^(4.*r^2)) + 0.5*r*(0. + (384.*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. - 8.*r)^3)/E^(4.*r^2) -
|
|
(3072.*r)/E^(4.*r^2) + (384.*(0. - 8.*r)^2*r)/
|
|
E^(4.*r^2) + (64.*(0. - 8.*r)^3*r^2)/E^(4.*r^2) -
|
|
24.*(0. - 8.*r)*(-8./E^(4.*r^2) + (64.*r^2)/
|
|
E^(4.*r^2))))/r)*Sin[theta]^2)/4)))*
|
|
(-4 + 1.8*^-15*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) -
|
|
3.0000000000000004*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*(0. +
|
|
0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 +
|
|
1.5000000000000002*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(4 - 12*Cos[2*theta] -
|
|
3.0000000000000004*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 9.*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2))/2 + 1.*^-8*(-1.8*^-7*(0.375/(E^(4.*r^2)*
|
|
r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2 + 6*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 1.*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(-2 +
|
|
3.0000000000000004*^-8*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) -
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
7.500000000000001*^-9*r*(-13.125/(E^(4.*r^2)*r^4) -
|
|
(48*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + (13*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^
|
|
2/E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2))*
|
|
((3*(-13.125/(E^(4.*r^2)*r^4) - (48*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^4 +
|
|
(13*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 + (105*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 -
|
|
(3*(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2)) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2))))/r^2 +
|
|
(0. + 1.25*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2)) - (8.*(0.25*(0. - 8.*r) - 8.*(0. +
|
|
0.25*r)))/E^(4.*r^2) - 8.*((0.5*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2)) -
|
|
(12.*(0. - 8.*r))/E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r) +
|
|
((0.25*(0. - 8.*r) - 8.*(0. + 0.25*r))*(0. - 8.*r)^2)/
|
|
E^(4.*r^2) - (8.*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*
|
|
(0. + 0.25*r) + ((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) -
|
|
2.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
0.25*(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r + 0.25*((-24.*(0. - 8.*r))/
|
|
E^(4.*r^2) + (0. - 8.*r)^3/E^(4.*r^2))*(0. - 8.*r)*r +
|
|
0.125*(0. - 8.*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2)) + (640.*(0. - 8.*r))/
|
|
E^(4.*r^2) - 16.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r) - (56.*(0. - 8.*r)^3)/
|
|
E^(4.*r^2) + (0. - 8.*r)^5/E^(4.*r^2))*r^2 -
|
|
8.*((0.5*(0. - 8.*r))/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r) + 0.5*r*
|
|
(192./E^(4.*r^2) - (24.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(192.*(0. - 8.*r)*r)/E^(4.*r^2) - (8.*(0. - 8.*r)^3*r)/
|
|
E^(4.*r^2)))/r)*(2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 +
|
|
3*(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(-1 +
|
|
3*Cos[2*theta] - 6.000000000000001*^-8*(0.375/(E^(4.*r^2)*
|
|
r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2)/
|
|
r^3 - (3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(1 + 3*Cos[2*theta]) +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) - 9.*^-8*(-0.75/(E^(4.*r^2)*
|
|
r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (5*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 - (2*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-16*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^2)^
|
|
2 + (3.0000000000000004*^-8*Sin[2*theta]*
|
|
((3*r*(-1.875/(E^(4.*r^2)*r^4) - (6*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(1 +
|
|
((2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1.*^-8 -
|
|
3.0000000000000004*^-8*Cos[2*theta]))/4) +
|
|
6.000000000000001*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Cos[
|
|
2*theta] + 6.000000000000001*^-8*r*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (5*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Cos[2*theta] -
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(3*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5) +
|
|
6*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*Cos[2*theta]))*
|
|
(-2 + 9.*^-16*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*(1 +
|
|
3*Cos[2*theta]) - 1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*
|
|
r^3) + (9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2 -
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(-1 + 3*Cos[2*theta] +
|
|
7.500000000000001*^-9*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) -
|
|
(8.*(0. + 0.25*r))/E^(4.*r^2) + ((0. - 8.*r)^2*
|
|
(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/E^(4.*r^2) +
|
|
0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r +
|
|
(0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) + 0.125*
|
|
((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^
|
|
2) + 1.*^-8*(9.*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2 + (2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 - (2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)/4 -
|
|
3.0000000000000004*^-8*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Cos[
|
|
2*theta] + 3*(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(-1 +
|
|
2.5*^-9*(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(-1 +
|
|
3*Cos[2*theta])))*(-3*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*(1 +
|
|
3*Cos[2*theta])*(1 + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*Sin[theta]^2) +
|
|
9.*^-8*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 +
|
|
((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*Sin[2*theta]^
|
|
2 + 9.*^-8*r*(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*(
|
|
3.75/(E^(4.*r^2)*r^4) + (15*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*
|
|
r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^4 - (5*((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^3 - (30*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/
|
|
E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r^2)*Sin[2*theta]^2 +
|
|
3.0000000000000004*^-8*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)*(3*r*(-1.875/(E^(4.*r^2)*r^4) -
|
|
(6*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^4 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^3 + (15*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^5)*
|
|
(1 + 3*Cos[2*theta]) - 9*(-0.75/(E^(4.*r^2)*r^3) -
|
|
(3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/
|
|
E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/E^(4.*r^2) +
|
|
0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*r^2))/
|
|
r^3 + ((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*Sin[2*theta]^
|
|
2))))/(r*(2 - 9.*^-16*(0.375/(E^(4.*r^2)*r^3) +
|
|
(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2)/r^3 -
|
|
(3*((0.25*r)/E^(4.*r^2) + (0.125*(0. - 8.*r)*r^2)/
|
|
E^(4.*r^2)))/r^4)^2*(1 + 3*Cos[2*theta]) +
|
|
1.5000000000000002*^-8*(2.625/(E^(4.*r^2)*r^3) +
|
|
(9*(0.25/E^(4.*r^2) + ((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 + (0. -
|
|
2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) + (-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*(0. + 0.25*r) +
|
|
0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*(0. - 8.*r)*r + 0.125*(128./E^(4.*r^2) -
|
|
8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2)) -
|
|
(40.*(0. - 8.*r)^2)/E^(4.*r^2) + (0. - 8.*r)^4/E^(4.*r^2))*
|
|
r^2 - 8.*(0.25/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2)))/r)*Sin[theta]^2 + 3.0000000000000004*^-8*
|
|
(0.375/(E^(4.*r^2)*r^3) + (0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2)/r^3 - (3*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)*
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
|
(2.625/(E^(4.*r^2)*r^3) + (9*(0.25/E^(4.*r^2) +
|
|
((0. - 8.*r)*(0. + 0.25*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*r^2))/r^3 -
|
|
(2*((0.75*(0. - 8.*r))/E^(4.*r^2) - (8.*(0. + 0.25*r))/
|
|
E^(4.*r^2) + ((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) -
|
|
(2.*r)/E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2))/r^2 - (21*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4 +
|
|
(0. - 2./E^(4.*r^2) + 0.75*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - 8.*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2)) + ((0.25*(0. - 8.*r) -
|
|
8.*(0. + 0.25*r))*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)^2)/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0.25*(0. - 8.*r) - 2.*r))/E^(4.*r^2) +
|
|
(-8./E^(4.*r^2) + (0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*
|
|
(0. + 0.25*r) + 0.5*((-24.*(0. - 8.*r))/E^(4.*r^2) +
|
|
(0. - 8.*r)^3/E^(4.*r^2))*r + 0.25*(-8./E^(4.*r^2) +
|
|
(0. - 8.*r)^2/E^(4.*r^2))*(0. - 8.*r)*r + 0.125*
|
|
(128./E^(4.*r^2) - 8.*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2)) - (40.*(0. - 8.*r)^2)/E^(4.*r^2) +
|
|
(0. - 8.*r)^4/E^(4.*r^2))*r^2 - 8.*(0.25/E^(4.*r^2) +
|
|
(0.25*(0. - 8.*r)*r)/E^(4.*r^2)))/r)*(1 +
|
|
3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-16*
|
|
(-0.75/(E^(4.*r^2)*r^3) - (3*(0.25/E^(4.*r^2) + ((0. - 8.*r)*
|
|
(0. + 0.25*r))/E^(4.*r^2) + (0.25*(0. - 8.*r)*r)/
|
|
E^(4.*r^2) + 0.125*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r^2))/r^3 + ((0.75*(0. - 8.*r))/
|
|
E^(4.*r^2) - (8.*(0. + 0.25*r))/E^(4.*r^2) +
|
|
((0. - 8.*r)^2*(0. + 0.25*r))/E^(4.*r^2) - (2.*r)/
|
|
E^(4.*r^2) + 0.25*(-8./E^(4.*r^2) + (0. - 8.*r)^2/
|
|
E^(4.*r^2))*r + (0.25*(0. - 8.*r)^2*r)/E^(4.*r^2) +
|
|
0.125*((-24.*(0. - 8.*r))/E^(4.*r^2) + (0. - 8.*r)^3/
|
|
E^(4.*r^2))*r^2)/r^2 + (6*((0.25*r)/E^(4.*r^2) +
|
|
(0.125*(0. - 8.*r)*r^2)/E^(4.*r^2)))/r^4)^2*
|
|
Sin[2*theta]^2)^2)))/(2*Sqrt[2]*r))/(Sqrt[2]*r))/2
|