14194 lines
967 KiB
Plaintext
14194 lines
967 KiB
Plaintext
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(((-I)*Csc[theta]*(((-1/2*I)*r*Sin[theta]*
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(1 - 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
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r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) -
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(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
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(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(
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-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2)))/r^2 +
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(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
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48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
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8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/
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(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
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3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
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r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
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2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
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(-1 + 3*Sin[theta]^2))*
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((-1.*^-12*((3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
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(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
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(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
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E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
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(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
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48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
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8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
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(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
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r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
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(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
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8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
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r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
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2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
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8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
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(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
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(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
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2))/r)*Sin[theta]^2)/4 + 3*((3*((8*r^3)/E^(r^2/4) -
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r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
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E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
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r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
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E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2))/r^3)*(1 - 3*Sin[theta]^2))^2)/
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(-2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
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r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
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E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
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3)*(-1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
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(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
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(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
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(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
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8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
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(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
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(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
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(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
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Sin[theta]^2)^2 -
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(1.*^-6*(-5.*^-7*(3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
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(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
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((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
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8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2))/r^3)*(-1 + 3*Cos[2*theta]) +
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(3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
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(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
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(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
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E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
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(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
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E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2)))/r^2 +
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((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
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E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
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E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
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8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
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r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
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(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
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r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
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(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
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2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
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(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/2)^2 +
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(-2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
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r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
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E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
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r^3)*(-1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
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(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
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(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
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(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
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E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
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(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
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48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
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8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
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(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
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Sin[theta]^2)*((3*((21*((24*r^2)/E^(r^2/4) - (8*r^4)/
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E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4)))))/r^5 - (21*((48*r)/E^(r^2/4) -
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(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
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(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2)))/r^4 + (9*(48/E^(r^2/4) -
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(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
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(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
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(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
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r^3 - (2*((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
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(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
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8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
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r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
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(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
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r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
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(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
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2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
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|
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r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
||
|
|
(-312/E^(r^2/4) + (684*r^2)/E^(r^2/4) - (128*r^4)/
|
||
|
|
E^(r^2/4) + 96*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
240*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
288*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 64*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
96*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
48*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) - 8*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r^3*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/2) +
|
||
|
|
16*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2) + 2*r^4*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)/4 + 3*((3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^5 - (3*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^3)*(1 - 3*Sin[theta]^2))))/
|
||
|
|
(-2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)^2))/Sqrt[2] +
|
||
|
|
((I/2)*r*Sin[theta]*(1 - 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/
|
||
|
|
(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Sin[theta]^2))*
|
||
|
|
((5.*^-7*(7.5*^-7*(-210/(E^(r^2/4)*r^2) + (105*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (48*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/r^
|
||
|
|
2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*((3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r))/4 + 3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-3 + Csc[theta]^2)) +
|
||
|
|
3.*^-6*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-3 + Csc[theta]^2)*
|
||
|
|
((3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r))/4 + 3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-3 + Csc[theta]^2)) -
|
||
|
|
(7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r) - Csc[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-3 +
|
||
|
|
Csc[theta]^2))*((3*((-105*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^6 + (105*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (48*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (13*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^3 - (3*((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
||
|
|
(-312/E^(r^2/4) + (684*r^2)/E^(r^2/4) - (128*r^4)/
|
||
|
|
E^(r^2/4) + 96*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
240*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
288*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 64*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
96*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
48*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) - 8*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r^3*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/2) +
|
||
|
|
16*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2) + 2*r^4*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/2))/r))/4 +
|
||
|
|
3*((-15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^6 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(6*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^3)*(-3 + Csc[theta]^2))))/
|
||
|
|
(7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 - (2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r) -
|
||
|
|
Csc[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-3 + Csc[theta]^2))^2 -
|
||
|
|
(5.*^-7*(-9.*^-6*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 - (2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r) +
|
||
|
|
7.5*^-7*r*(-210/(E^(r^2/4)*r^2) + (105*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (48*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/r^
|
||
|
|
2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r) - 2*Csc[theta]^2 + 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*Csc[theta]^2 +
|
||
|
|
6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-3 + Csc[theta]^2))*((3*((21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (21*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4 +
|
||
|
|
3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 - 3*Sin[theta]^2)))/
|
||
|
|
(r*(7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 - (2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r) -
|
||
|
|
Csc[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-3 + Csc[theta]^2))*(-2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)) + (5.*^-7*(-9.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 - (2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r) +
|
||
|
|
7.5*^-7*r*(-210/(E^(r^2/4)*r^2) + (105*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (48*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/r^
|
||
|
|
2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r) - 2*Csc[theta]^2 + 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*Csc[theta]^2 +
|
||
|
|
6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-3 + Csc[theta]^2))*(-9.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*((-6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 - (3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 - (3*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(-1 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) - 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2))/2))/(r*(7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r) -
|
||
|
|
Csc[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-3 + Csc[theta]^2))*(2 - 9.*^-12*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(1.5*^-6*Cos[theta]*(-3.*^-6*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(1 + 3*Cos[2*theta])))*(1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Cos[theta] - Cot[theta]*Csc[theta] + 3*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-6.*^-6*Cos[theta] + 1.*^-6*Cot[theta]*Csc[theta])))/
|
||
|
|
(r*(7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 - (2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r) -
|
||
|
|
Csc[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-3 + Csc[theta]^2))*(-2 + 9.*^-12*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2))))/
|
||
|
|
Sqrt[2]))/(Sqrt[2]*r) +
|
||
|
|
(-1/2*(-3.*^-6*r*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Cos[theta]*Sin[theta]*
|
||
|
|
((1.5*^-6*Cos[theta]*Sin[theta]*(((-6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 - (3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(1 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) + 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2) + 1.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/4))*
|
||
|
|
(r*(2 - 6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) - 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) + 1.5*^-6*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)) + 1.3499999999999999*^-11*r*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2))/
|
||
|
|
(r*(9.*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 - (1 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)*(1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))*(2 - 9.*^-12*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(1.5*^-6*Cos[theta]*(-3.*^-6*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(1 + 3*Cos[2*theta])))*Sin[theta]*
|
||
|
|
(1.8*^-11*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2 + (1 + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)*(2 - 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) + 1.5*^-6*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2) - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(4 - 3.*^-6*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
6.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
Cos[2*theta] + 3.*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2) + 6.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(Cos[2*theta] - 7.5*^-7*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^4)))/((-2 + 9.*^-12*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 6.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 - 3*Sin[theta]^2 + 3.75*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(7.5*^-7*Sin[2*theta]*(-8.*^-6*(9.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)/
|
||
|
|
4 - 3.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Cos[2*theta] + 3*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 2.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(-1 + 3*Cos[2*theta])))*(-9.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[theta]^2*Sin[theta]^2 - (3*
|
||
|
|
((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])*(-1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2))/2) +
|
||
|
|
(3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 - 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
((42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1.*^-6 - 3.*^-6*Cos[2*theta]))/4) + 3.*^-6*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[2*theta])*(-8 + 3.6*^-11*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 6.*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(4 - 12*Cos[2*theta] - 3.*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 1.8*^-11*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2)))/(2 - 9.*^-12*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2 -
|
||
|
|
(3.*^-6*Cos[theta]*Sin[theta]*(((4.5*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
(2 - 0.000012*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 2.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2) +
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2) + ((-6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (6*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(-2 + 6.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
3.*^-6*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) - 1.5*^-6*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2 - 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^3 - (3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((-312*r)/
|
||
|
|
E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/E^(r^2/4) +
|
||
|
|
96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2) + 1.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^3 - (2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/2 +
|
||
|
|
r*(3*((-15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^6 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(6*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^4 + (48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/r^3) -
|
||
|
|
(3*((-105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^6 +
|
||
|
|
(105*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^5 - (48*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^4 + (13*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) +
|
||
|
|
(32*r^4)/E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 - (3*((-312*r)/
|
||
|
|
E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
||
|
|
(-312/E^(r^2/4) + (684*r^2)/E^(r^2/4) - (128*r^4)/
|
||
|
|
E^(r^2/4) + 96*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 240*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 288*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
64*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 96*r^2*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 48*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
8*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2) + 24*r^2*
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2) + 16*r^3*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/
|
||
|
|
2) + 16*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2) + 2*r^4*(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
4)))*(-4 + 1.8*^-11*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 3.*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2 + 1.5*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(4 - 12*Cos[2*theta] - 3.*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^2 + (48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
||
|
|
Sin[theta]^2) + 9.*^-12*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2))/2 + 1.*^-6*(-0.000018*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 + 6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 1.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2) + 7.5*^-7*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2) + (-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.*^-6*r*
|
||
|
|
(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) - 1.5*^-6*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2 - 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2))*
|
||
|
|
((3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(2 + 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 + 3*
|
||
|
|
((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-1 + 3*Cos[2*theta] -
|
||
|
|
6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) - 9.*^-6*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Sin[2*theta]^2)))/(2 - 9.*^-12*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2) +
|
||
|
|
r^2*(1 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/
|
||
|
|
E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 - (2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*
|
||
|
|
r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*(
|
||
|
|
-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)*((5.*^-7*(-9.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*((-6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 - (3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 - (3*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(1 +
|
||
|
|
3*Cos[2*theta])*(-1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2))/2)*(r*(2 - 6.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) - 3.*^-6*r*
|
||
|
|
(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)) + 1.3499999999999999*^-11*r*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2))/
|
||
|
|
(r^2*(9.*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 - (1 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)*(1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))*(2 - 9.*^-12*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
||
|
|
(5.*^-7*((3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(2 + 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))/2 + 3*Sin[theta]^2*
|
||
|
|
(3.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[theta]^2 + (((21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (21*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(-1 + 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)))/4))*
|
||
|
|
(r*(2 - 6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) - 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) + 1.5*^-6*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)) + 1.3499999999999999*^-11*r*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2))/
|
||
|
|
(r^2*(9.*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 - (1 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)*(1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))*(-2 + 9.*^-12*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 6.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 - 3*Sin[theta]^2 + 3.75*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(4.5*^-12*Cos[theta]^2*(-3.*^-6*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(1 + 3*Cos[2*theta])))*Sin[theta]^2*
|
||
|
|
(-0.000018*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2 + 6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(1 + 1.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2) + (-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.*^-6*r*
|
||
|
|
(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)))/
|
||
|
|
(r*(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
||
|
|
(4.5*^-12*Cos[theta]^2*(-3.*^-6*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(1 + 3*Cos[2*theta])))*Sin[theta]^2*
|
||
|
|
(6.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Cos[2*theta] - ((42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))/4 +
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(2 - 6.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.*^-6*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)))/
|
||
|
|
(r*(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(1.5*^-6*(3.*^-6*(9.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)^2 + (42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)/
|
||
|
|
4 - 3.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)^2*Cos[2*theta] + 3*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 2.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(-1 + 3*Cos[2*theta])))*(-3.*^-6*
|
||
|
|
((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))*
|
||
|
|
Sin[2*theta]^2 + Cos[theta]^2*(-3.*^-6*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2) - (-3.*^-6*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))*
|
||
|
|
Sin[theta]^2*(-2 + 9.*^-12*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2) + 6.*^-6*(3*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2) - 3*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2))*Cos[theta]*Sin[theta]*Sin[2*theta]*(-2 + 9.*^-12*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2)))/(r*(2 - 9.*^-12*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) -
|
||
|
|
4.5*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Sin[2*theta]^2)^2) -
|
||
|
|
(5.*^-7*r*(9.*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Cos[theta]^2*Sin[theta]^2 - (1 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2)*(1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))*(6*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(-2 +
|
||
|
|
3*Sin[theta]^2)*(2 - 6.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.*^-6*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5*^-6*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
2*(-6*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
3*r*((-15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^6 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(6*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^3) + (3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
2 + (3*r*((-105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^6 +
|
||
|
|
(105*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(48*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
(13*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 -
|
||
|
|
(3*((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
||
|
|
(-312/E^(r^2/4) + (684*r^2)/E^(r^2/4) - (128*r^4)/
|
||
|
|
E^(r^2/4) + 96*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
240*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
288*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 64*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
96*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
48*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) - 8*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r^3*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/
|
||
|
|
2) + 16*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2) + 2*r^4*(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r)*Sin[theta]^2)/4)*
|
||
|
|
(-1 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
||
|
|
0.000027*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2 +
|
||
|
|
0.000027*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Sin[2*theta]^2) - (r*(2 - 6.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.*^-6*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5*^-6*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)*(-1 +
|
||
|
|
3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
||
|
|
1.3499999999999999*^-11*r*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
||
|
|
-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2)*
|
||
|
|
(3.*^-6*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-2 + 3*Sin[theta]^2)*(
|
||
|
|
1 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2) + 1.*^-6*(3*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/4)*
|
||
|
|
(1 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)) +
|
||
|
|
4.5*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
(-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Sin[2*theta]^2))/(2*r^2*
|
||
|
|
(-9.*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Cos[theta]^2*Sin[theta]^2 + (1 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2)*(1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))^2)))/(Sqrt[2]*r) +
|
||
|
|
(-3.*^-6*r*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Cos[theta]*Sin[theta]*
|
||
|
|
((3.*^-12*r*Cos[theta]*Sin[theta]*(-9.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*((-6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 - (3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 - (3*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(-1 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) - 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2))/2)*(((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^5 + (6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(1 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) + 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2) + 1.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4)))/
|
||
|
|
(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2 +
|
||
|
|
(3.*^-12*r*Cos[theta]*Sin[theta]*
|
||
|
|
(((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(1 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) + 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2) + 1.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4))*
|
||
|
|
((3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(2 + 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))/2 + 3*Sin[theta]^2*
|
||
|
|
(3.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
(-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[theta]^2 + (((21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (21*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(-1 + 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)))/4)))/
|
||
|
|
((2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(1 - 3*Sin[theta]^2 + 3.75*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
||
|
|
(3.*^-6*r*Cos[theta]*Sin[theta]*
|
||
|
|
(-1/2*((((-6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 +
|
||
|
|
(6*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r^2)*(-1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2) - 1.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^3) - (3*((21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(21*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^4 + (9*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 -
|
||
|
|
(2*((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
||
|
|
(-312/E^(r^2/4) + (684*r^2)/E^(r^2/4) - (128*r^4)/
|
||
|
|
E^(r^2/4) + 96*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/
|
||
|
|
4))) - 240*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 288*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
64*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 96*r^2*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 48*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
8*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 24*r^2*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r^3*((-5*r)/(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/
|
||
|
|
2) + 16*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2) + 2*r^4*(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
4))*(-4 + 1.8*^-11*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 3.*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 1.5*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(4 - 12*Cos[2*theta] - 3.*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 9.*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2)) + 1.*^-6*(((-6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(1 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2) + 1.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
4))*((3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*(2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 +
|
||
|
|
3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-1 + 3*Cos[2*theta] -
|
||
|
|
6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) -
|
||
|
|
9.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
(-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Sin[2*theta]^2)))/
|
||
|
|
(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2) +
|
||
|
|
r^2*(1 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/
|
||
|
|
(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
((-1.*^-12*((3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(2 + 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))/2 + 3*Sin[theta]^2*
|
||
|
|
(3.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[theta]^2 + (((21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (21*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(-1 + 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)))/4))^2)/
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(1 - 3*Sin[theta]^2 + 3.75*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2 +
|
||
|
|
(4.5*^-12*Cos[theta]^2*(-3.*^-6*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(1 + 3*Cos[2*theta])))*Sin[theta]^2*
|
||
|
|
(((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(1 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) + 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2) + 1.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4)))/
|
||
|
|
((2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
||
|
|
(1.*^-6*(((9.*^-6*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 3*((3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^5 - (3*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^3)*(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])) + 6*
|
||
|
|
Sin[theta]^2*(3.*^-6*((-6*((8*r^3)/E^(r^2/4) - r^5/
|
||
|
|
E^(r^2/4)))/r^5 + (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)^2*Cos[theta]^2 + 3.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 +
|
||
|
|
(6*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r^2)*Cos[theta]^2 +
|
||
|
|
7.5*^-7*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*(-2 +
|
||
|
|
3*Sin[theta]^2) + (((21*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^5 - (21*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (9*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^3 - (2*((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
||
|
|
(-312/E^(r^2/4) + (684*r^2)/E^(r^2/4) - (128*r^4)/
|
||
|
|
E^(r^2/4) + 96*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/
|
||
|
|
4))) - 240*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 288*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
64*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 96*r^2*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 48*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
8*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 24*r^2*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r^3*((-5*r)/(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/
|
||
|
|
2) + 16*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2) + 2*r^4*(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r)*(-1 +
|
||
|
|
3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)))/4))*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 6.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 - 3*Sin[theta]^2 + 3.75*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2))/2 - 2.5*^-7*(6*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(2 +
|
||
|
|
3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])) -
|
||
|
|
(3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*(2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/2 +
|
||
|
|
9.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
(-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Sin[2*theta]^2)*((-3*((21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (21*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(2 + 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 +
|
||
|
|
3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 - 3*Cos[2*theta] +
|
||
|
|
6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]) -
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) +
|
||
|
|
9.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
(-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Sin[2*theta]^2)))/
|
||
|
|
(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2))/
|
||
|
|
(2*Sqrt[2]*r))/(Sqrt[2]*r))/2 +
|
||
|
|
((I*Csc[theta]*(((-1/2*I)*r*Sin[theta]*(1 - 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/
|
||
|
|
(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Sin[theta]^2))*
|
||
|
|
((-5.*^-7*(-9.*^-6*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 - (2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r) +
|
||
|
|
7.5*^-7*r*(-210/(E^(r^2/4)*r^2) + (105*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (48*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/r^
|
||
|
|
2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r) - 2*Csc[theta]^2 + 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*Csc[theta]^2 +
|
||
|
|
6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-3 + Csc[theta]^2))*((3*((21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (21*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4 +
|
||
|
|
3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 - 3*Sin[theta]^2)))/
|
||
|
|
(r*(7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 - (2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r) -
|
||
|
|
Csc[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-3 + Csc[theta]^2))*(-2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)) -
|
||
|
|
(1.*^-6*(-((3.*^-6*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta]) + 1.5*^-6*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*((3*((21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (21*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/4 + 3*
|
||
|
|
((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 - 3*Sin[theta]^2))) +
|
||
|
|
(-2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(-1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)*((3*((-105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^6 + (105*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(48*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
(13*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 -
|
||
|
|
(3*((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
||
|
|
(-312/E^(r^2/4) + (684*r^2)/E^(r^2/4) - (128*r^4)/
|
||
|
|
E^(r^2/4) + 96*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
240*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
288*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 64*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
96*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
48*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) - 8*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r^3*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/2) +
|
||
|
|
16*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2) + 2*r^4*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)/4 + 3*((-15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^6 + (15*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (6*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^3)*(1 - 3*Sin[theta]^2))))/
|
||
|
|
(-2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)^2 + (5.*^-7*(-9.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 - (2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r) +
|
||
|
|
7.5*^-7*r*(-210/(E^(r^2/4)*r^2) + (105*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (48*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/r^
|
||
|
|
2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r) - 2*Csc[theta]^2 + 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*Csc[theta]^2 +
|
||
|
|
6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-3 + Csc[theta]^2))*(-9.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*((-6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 - (3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 - (3*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(-1 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) - 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2))/2))/(r*(7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r) -
|
||
|
|
Csc[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-3 + Csc[theta]^2))*(2 - 9.*^-12*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(1.5*^-6*Cos[theta]*(-3.*^-6*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(1 + 3*Cos[2*theta])))*(1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Cos[theta] - Cot[theta]*Csc[theta] + 3*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-6.*^-6*Cos[theta] + 1.*^-6*Cot[theta]*Csc[theta])))/
|
||
|
|
(r*(7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 - (2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r) -
|
||
|
|
Csc[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-3 + Csc[theta]^2))*(-2 + 9.*^-12*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2))))/
|
||
|
|
Sqrt[2] + ((I/2)*r*Sin[theta]*(1 - 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/
|
||
|
|
(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Sin[theta]^2))*
|
||
|
|
(-1/4*(-9.*^-6*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) + 1.5*^-6*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r) +
|
||
|
|
7.5*^-7*r*(-210/(E^(r^2/4)*r^2) + (105*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (48*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r) - 2*Csc[theta]^2 + 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*Csc[theta]^2 +
|
||
|
|
6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(-3 + Csc[theta]^2))^2/
|
||
|
|
(r^2*(7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r) - Csc[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-3 +
|
||
|
|
Csc[theta]^2))^2) +
|
||
|
|
(7.5*^-13*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
((3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 - (2*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4 +
|
||
|
|
3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 - 3*Sin[theta]^2)))/
|
||
|
|
(-2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(-1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) - (144*r^2)/
|
||
|
|
E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) + 2*r^4*
|
||
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
(1.125*^-12*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 - (2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)^
|
||
|
|
2 - 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 - (2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*
|
||
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2) + 2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(7.5*^-7*r^2*(1260/(E^(r^2/4)*r^3) - (630*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^6 + (297*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (87*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (19*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^3 - (4*((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2)))/r^2 + (-312/E^(r^2/4) + (684*r^2)/E^(r^2/4) -
|
||
|
|
(128*r^4)/E^(r^2/4) + 96*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 240*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 288*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
64*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 96*r^2*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
48*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) - 8*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r^3*
|
||
|
|
((-5*r)/(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/2) +
|
||
|
|
16*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2) + 2*r^4*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r) +
|
||
|
|
4*Csc[theta]^2 - 6.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta])*Csc[theta]^2 + 3.*^-6*r^2*
|
||
|
|
(180/(E^(r^2/4)*r^3) - (90*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^6 + (39*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^4 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^3)*
|
||
|
|
(-3 + Csc[theta]^2)) + (2.25*^-12*r^2*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)^2 + 9.000000000000001*^-12*r^2*
|
||
|
|
(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 - (3*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*(-1 + 3*Cos[2*theta])*Csc[theta]^2 +
|
||
|
|
1.8*^-11*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 - 3*Cos[2*theta])^2*Csc[theta]^4 +
|
||
|
|
9.*^-12*r^2*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)^2*
|
||
|
|
(1 - 3*Cos[2*theta])^2*Csc[theta]^4 + 4*Csc[theta]^2*
|
||
|
|
(7.5*^-7*r^2*(1260/(E^(r^2/4)*r^3) - (630*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^6 + (297*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (87*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (19*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^3 - (4*((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
||
|
|
(-312/E^(r^2/4) + (684*r^2)/E^(r^2/4) - (128*r^4)/
|
||
|
|
E^(r^2/4) + 96*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
240*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
288*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 64*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
96*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
48*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) - 8*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r^3*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/2) +
|
||
|
|
16*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2) + 2*r^4*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/2))/r) + 2*
|
||
|
|
Csc[theta]^2 + 3.*^-6*r^2*(180/(E^(r^2/4)*r^3) -
|
||
|
|
(90*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^6 +
|
||
|
|
(39*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^3)*(-3 + Csc[theta]^2)) - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta])*Csc[theta]^4*(8 + 3.*^-6*r^2*
|
||
|
|
(180/(E^(r^2/4)*r^3) - (90*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^6 + (39*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (9*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^3)*(-1 + 3*Cos[2*theta]) + 1.5*^-6*r^2*
|
||
|
|
(1260/(E^(r^2/4)*r^3) - (630*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^6 + (297*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (87*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (19*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^3 - (4*((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
||
|
|
(-312/E^(r^2/4) + (684*r^2)/E^(r^2/4) - (128*r^4)/
|
||
|
|
E^(r^2/4) + 96*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
240*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
288*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 64*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
96*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
48*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) - 8*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r^3*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/2) +
|
||
|
|
16*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2) + 2*r^4*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/2))/r)*
|
||
|
|
Sin[theta]^2))/4)/(2*r^2*
|
||
|
|
(7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 - (2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r) -
|
||
|
|
Csc[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(-3 + Csc[theta]^2))^2) +
|
||
|
|
(7.5*^-7*(4*r*(60/(E^(r^2/4)*r^2) - (30*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (15*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^
|
||
|
|
2) - 0.000018*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - (-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(-4 + 3.*^-6*r*(
|
||
|
|
-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(1 +
|
||
|
|
3*Cos[2*theta])) + 6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 1.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(1 +
|
||
|
|
3*Cos[2*theta]) + 1.*^-6*r*(60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(1 + 3*Cos[2*theta])))*Csc[theta]*
|
||
|
|
(1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 - (2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Cos[theta] - Cot[theta]*Csc[theta] + 3*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-6.*^-6*Cos[theta] + 1.*^-6*Cot[theta]*Csc[theta]))*
|
||
|
|
Sin[2*theta])/(r^2*(7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r) -
|
||
|
|
Csc[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-3 + Csc[theta]^2))*(-2 + 9.*^-12*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(2.5*^-7*(-9.*^-6*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 - (2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r) +
|
||
|
|
7.5*^-7*r*(-210/(E^(r^2/4)*r^2) + (105*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (48*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/r^
|
||
|
|
2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r) - 2*Csc[theta]^2 + 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*Csc[theta]^2 +
|
||
|
|
6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-3 + Csc[theta]^2))*(-3*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(1 + 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2) + 9.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2 +
|
||
|
|
9.*^-6*r*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
Sin[2*theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(3*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(1 +
|
||
|
|
3*Cos[2*theta]) - 9*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2)))/
|
||
|
|
(r^2*(7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 - (2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r) -
|
||
|
|
Csc[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-3 + Csc[theta]^2))*(-2 + 9.*^-12*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2))))/
|
||
|
|
Sqrt[2]))/(Sqrt[2]*r) -
|
||
|
|
((-3.*^-6*r*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Cos[theta]*Sin[theta]*
|
||
|
|
((-3.*^-12*Cos[theta]*Sin[theta]*(-9.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*((-6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 - (3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 - (3*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(-1 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) - 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2))/2)*(-0.000018*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^
|
||
|
|
4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 1.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2) + (-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.*^-6*r*(
|
||
|
|
-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)))/
|
||
|
|
(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2 +
|
||
|
|
(3.*^-12*Cos[theta]*Sin[theta]*(-0.000018*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^
|
||
|
|
4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 1.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2) + (-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.*^-6*r*(
|
||
|
|
-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2))*
|
||
|
|
((3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(2 + 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))/2 + 3*Sin[theta]^2*
|
||
|
|
(3.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
(-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[theta]^2 + (((21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (21*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(-1 + 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)))/4)))/
|
||
|
|
((2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(1 - 3*Sin[theta]^2 + 3.75*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(1.5*^-6*Cos[theta]*(-3.*^-6*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(1 + 3*Cos[2*theta])))*Sin[theta]*
|
||
|
|
(1.8*^-11*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2 + (1 + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)*(2 - 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) + 1.5*^-6*(
|
||
|
|
42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2) - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(4 - 3.*^-6*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
6.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*Cos[
|
||
|
|
2*theta] + 3.*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2) + 6.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(Cos[2*theta] -
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^4)))/((-2 + 9.*^-12*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(1 - 3*Sin[theta]^2 + 3.75*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(1.5*^-12*Cos[theta]*Sin[theta]*
|
||
|
|
(((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(1 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) + 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2) + 1.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4))*
|
||
|
|
(-3*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(1 + 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2) + 9.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2 +
|
||
|
|
9.*^-6*r*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
Sin[2*theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(3*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(1 +
|
||
|
|
3*Cos[2*theta]) - 9*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2)))/
|
||
|
|
((2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(7.5*^-7*Sin[2*theta]*(-8.*^-6*(9.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)/
|
||
|
|
4 - 3.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Cos[2*theta] + 3*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(-1 + 2.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(-1 + 3*Cos[2*theta])))*(-9.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*((-6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[theta]^2*Sin[theta]^2 -
|
||
|
|
(3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(-1 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2))/2) +
|
||
|
|
(3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 - 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
((42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1.*^-6 - 3.*^-6*Cos[2*theta]))/4) +
|
||
|
|
3.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
(-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[2*theta])*(-8 + 3.6*^-11*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) - 6.*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(4 -
|
||
|
|
12*Cos[2*theta] - 3.*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) +
|
||
|
|
1.8*^-11*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Sin[2*theta]^2)))/
|
||
|
|
(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2 -
|
||
|
|
(3.*^-6*Cos[theta]*Sin[theta]*
|
||
|
|
(-((((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(1 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2) + 1.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^3 - (2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + ((-312*r)/
|
||
|
|
E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/E^(r^2/4) +
|
||
|
|
96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4))*(2 - 9.*^-12*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2)) - r*(((30*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^6 - (30*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 + (15*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 - (5*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^3 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r^2)*(1 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2) - 1.*^-6*((-6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(3*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*(-210/(E^(r^2/4)*r^2) + (105*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (48*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
4) + 1.*^-6*(60/(E^(r^2/4)*r^2) - (30*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (15*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
4) + 1.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
3*((-15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^6 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(6*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^3) - (3*((-105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^6 + (105*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(48*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
(13*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 -
|
||
|
|
(3*((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
||
|
|
(-312/E^(r^2/4) + (684*r^2)/E^(r^2/4) - (128*r^4)/
|
||
|
|
E^(r^2/4) + 96*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
240*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
288*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 64*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
96*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
48*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) - 8*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r^3*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/
|
||
|
|
2) + 16*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2) + 2*r^4*(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
4))*(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) -
|
||
|
|
4.5*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Sin[2*theta]^2) + 1.*^-6*r*(((-6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 - (3*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(1 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2) + 1.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
4))*((3*(-210/(E^(r^2/4)*r^2) + (105*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (48*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(2 + 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 +
|
||
|
|
3*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] - 6.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]) + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) -
|
||
|
|
9.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
60/(E^(r^2/4)*r^2) - (30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^5 + (15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Sin[2*theta]^2)))/
|
||
|
|
(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2) +
|
||
|
|
r^2*(1 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/
|
||
|
|
(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
((5.*^-7*(-9.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*((-6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 - (3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 - (3*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(-1 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) - 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2))/2)*(r*(2 - 6.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
3.*^-6*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-2 +
|
||
|
|
3*Sin[theta]^2)) + 1.3499999999999999*^-11*r*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2))/
|
||
|
|
(r^2*(9.*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (1 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)*(1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(2 -
|
||
|
|
3*Sin[theta]^2)))*(2 - 9.*^-12*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
||
|
|
(5.*^-7*((3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(2 + 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))/2 + 3*Sin[theta]^2*
|
||
|
|
(3.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
(-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[theta]^2 + (((21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (21*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(-1 + 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)))/4))*
|
||
|
|
(r*(2 - 6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) - 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) + 1.5*^-6*(
|
||
|
|
42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-2 +
|
||
|
|
3*Sin[theta]^2)) + 1.3499999999999999*^-11*r*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2))/
|
||
|
|
(r^2*(9.*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (1 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)*(1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(2 -
|
||
|
|
3*Sin[theta]^2)))*(-2 + 9.*^-12*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(1 - 3*Sin[theta]^2 + 3.75*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
||
|
|
(4.5*^-12*Cos[theta]^2*(-3.*^-6*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(1 + 3*Cos[2*theta])))*Sin[theta]^2*
|
||
|
|
(6.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Cos[2*theta] -
|
||
|
|
((42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(1 + 3*Cos[2*theta])))/4 + (-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(2 - 6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) - 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) + 1.5*^-6*(
|
||
|
|
42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)))/
|
||
|
|
(r*(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(2.25*^-12*Cos[theta]*(4*r*(60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^
|
||
|
|
2) - 0.000018*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - (-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(-4 + 3.*^-6*r*(
|
||
|
|
-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(1 +
|
||
|
|
3*Cos[2*theta])) + 6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 1.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(1 +
|
||
|
|
3*Cos[2*theta]) + 1.*^-6*r*(60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(1 + 3*Cos[2*theta])))*Sin[theta]*
|
||
|
|
(((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(1 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) + 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2) + 1.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4))*Sin[2*theta])/
|
||
|
|
(r*(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(1.5*^-6*(3.*^-6*(9.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2 + (42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)/
|
||
|
|
4 - 3.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Cos[2*theta] + 3*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(-1 + 2.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(-1 + 3*Cos[2*theta])))*
|
||
|
|
(-3.*^-6*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))*
|
||
|
|
Sin[2*theta]^2 + Cos[theta]^2*(-3.*^-6*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(
|
||
|
|
-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) +
|
||
|
|
4.5*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Sin[2*theta]^2) - (-3.*^-6*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(
|
||
|
|
-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))*
|
||
|
|
Sin[theta]^2*(-2 + 9.*^-12*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) +
|
||
|
|
4.5*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Sin[2*theta]^2) + 6.*^-6*(3*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(
|
||
|
|
-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2) - 3*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
||
|
|
(-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2))*Cos[theta]*Sin[theta]*Sin[2*theta]*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) +
|
||
|
|
4.5*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Sin[2*theta]^2)))/
|
||
|
|
(r*(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2) -
|
||
|
|
(2.5*^-7*(2*(9.*^-6*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta]) +
|
||
|
|
3*((-15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^6 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(6*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^3)*(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])) +
|
||
|
|
6*Sin[theta]^2*(3.*^-6*(60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[theta]^2 + 3.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^6 -
|
||
|
|
(30*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 +
|
||
|
|
(15*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 -
|
||
|
|
(5*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r^2)*Cos[theta]^2 +
|
||
|
|
7.5*^-7*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*((21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (21*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(-2 +
|
||
|
|
3*Sin[theta]^2) + (((-105*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^6 + (105*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (48*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (13*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^3 - (3*((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
||
|
|
(-312/E^(r^2/4) + (684*r^2)/E^(r^2/4) - (128*r^4)/
|
||
|
|
E^(r^2/4) + 96*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
240*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
288*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 64*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
96*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
48*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) - 8*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r^3*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/
|
||
|
|
2) + 16*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2) + 2*r^4*(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r)*(-1 +
|
||
|
|
3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)))/4))*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 6.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(1 -
|
||
|
|
3*Sin[theta]^2 + 3.75*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) +
|
||
|
|
4.5*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Sin[2*theta]^2) + 1.*^-6*((-3*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*(2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 +
|
||
|
|
3*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(1 -
|
||
|
|
3*Cos[2*theta] + 6.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]) - 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) +
|
||
|
|
9.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
60/(E^(r^2/4)*r^2) - (30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^5 + (15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Sin[2*theta]^2)*(-6*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(2 +
|
||
|
|
3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])) +
|
||
|
|
(3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*(2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/2 -
|
||
|
|
9.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
(-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Sin[2*theta]^2)))/
|
||
|
|
(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2))/
|
||
|
|
(2*Sqrt[2]*r) -
|
||
|
|
(r^2*(1 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/
|
||
|
|
(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
(-1/4*(r*(2 - 6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) - 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) + 1.5*^-6*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)) + 1.3499999999999999*^-11*r*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2)^2/
|
||
|
|
(r^4*(9.*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Cos[theta]^2*Sin[theta]^2 - (1 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2)*(1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))^2) +
|
||
|
|
(7.5*^-13*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
((3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(2 + 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta])))/2 + 3*Sin[theta]^2*
|
||
|
|
(3.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
(-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[theta]^2 + (((21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (21*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (2*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(-1 + 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)))/4)))/
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) - (144*r^2)/
|
||
|
|
E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) + 2*r^4*
|
||
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 - 3*Sin[theta]^2 + 3.75*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2) +
|
||
|
|
(2.25*^-12*((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*
|
||
|
|
r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2)))/r^3 + (48/E^(r^2/4) - (144*r^2)/E^(r^2/4) +
|
||
|
|
(32*r^4)/E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
(-3.*^-6*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(1 + 3*Cos[2*theta])))*Sin[theta]^2)/
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) - (144*r^2)/
|
||
|
|
E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) + 2*r^4*
|
||
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2) +
|
||
|
|
(2.25*^-12*Cos[theta]*(4*r*(60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^
|
||
|
|
2) - 0.000018*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - (-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(-4 + 3.*^-6*r*(
|
||
|
|
-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(1 +
|
||
|
|
3*Cos[2*theta])) + 6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 1.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(1 +
|
||
|
|
3*Cos[2*theta]) + 1.*^-6*r*(60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(1 + 3*Cos[2*theta])))*Sin[theta]*
|
||
|
|
(-0.000018*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2 + 6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(1 + 1.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2) + (-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.*^-6*r*(
|
||
|
|
-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2))*Sin[2*theta])/
|
||
|
|
(r^2*(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
||
|
|
(2.25*^-12*Cos[theta]*(4*r*(60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^
|
||
|
|
2) - 0.000018*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - (-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(-4 + 3.*^-6*r*(
|
||
|
|
-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(1 +
|
||
|
|
3*Cos[2*theta])) + 6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 1.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(1 +
|
||
|
|
3*Cos[2*theta]) + 1.*^-6*r*(60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(1 + 3*Cos[2*theta])))*Sin[theta]*
|
||
|
|
(6.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Cos[2*theta] -
|
||
|
|
((42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(1 + 3*Cos[2*theta])))/4 + (-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(2 - 6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) - 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) + 1.5*^-6*(
|
||
|
|
42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2))*Sin[2*theta])/
|
||
|
|
(r^2*(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(2.5*^-7*(r*(2 - 6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) - 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) + 1.5*^-6*(
|
||
|
|
42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-2 +
|
||
|
|
3*Sin[theta]^2)) + 1.3499999999999999*^-11*r*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2)*
|
||
|
|
(-3*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(1 + 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2) + 9.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2 +
|
||
|
|
9.*^-6*r*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
Sin[2*theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(3*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(1 +
|
||
|
|
3*Cos[2*theta]) - 9*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2)))/
|
||
|
|
(r^3*(9.*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (1 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)*(1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(2 -
|
||
|
|
3*Sin[theta]^2)))*(-2 + 9.*^-12*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(7.5*^-7*(-6.*^-6*(9.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2 + (42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)/
|
||
|
|
4 - 3.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Cos[2*theta] + 3*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(-1 + 2.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(-1 + 3*Cos[2*theta])))*(-4*r*(60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2) + 0.000018*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + (-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(-4 + 3.*^-6*r*
|
||
|
|
(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])) -
|
||
|
|
6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-2 +
|
||
|
|
1.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
1.*^-6*r*(60/(E^(r^2/4)*r^2) - (30*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (15*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(1 + 3*Cos[2*theta])))*Sin[2*theta]^2 +
|
||
|
|
2*Cos[2*theta]*(4*r*(60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2) - 0.000018*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - (-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(-4 + 3.*^-6*r*
|
||
|
|
(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])) +
|
||
|
|
6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-2 +
|
||
|
|
1.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
1.*^-6*r*(60/(E^(r^2/4)*r^2) - (30*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (15*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(1 + 3*Cos[2*theta])))*(-2 + 9.*^-12*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) +
|
||
|
|
4.5*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Sin[2*theta]^2) + 6.*^-6*(18*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
3*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(
|
||
|
|
-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2) - 6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
||
|
|
-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2 + r*(60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)))*Sin[2*theta]^2*(-2 + 9.*^-12*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) +
|
||
|
|
4.5*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Sin[2*theta]^2)))/
|
||
|
|
(r^2*(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2) -
|
||
|
|
(-2*(9.*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 - (1 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)*(1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))*(r*(2 - 6.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) - 3.*^-6*r*
|
||
|
|
(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)) + 1.3499999999999999*^-11*r*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2) +
|
||
|
|
r*(9.*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 - (1 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)*(1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))*(3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-2 + 3*Sin[theta]^2)*
|
||
|
|
(2 - 6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) - 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) + 1.5*^-6*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2) + (2 - 6.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) - 3.*^-6*r*
|
||
|
|
(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)) + 1.*^-6*r*(-9*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) - 3*r*
|
||
|
|
(180/(E^(r^2/4)*r^3) - (90*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^6 + (39*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (9*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^3) + (9*(-210/(E^(r^2/4)*r^2) + (105*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (48*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/4 +
|
||
|
|
(3*r*(1260/(E^(r^2/4)*r^3) - (630*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^6 + (297*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (87*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (19*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^3 - (4*((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
||
|
|
(-312/E^(r^2/4) + (684*r^2)/E^(r^2/4) - (128*r^4)/
|
||
|
|
E^(r^2/4) + 96*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
240*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
288*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 64*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
96*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
48*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) - 8*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r^3*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/
|
||
|
|
2) + 16*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2) + 2*r^4*
|
||
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r)*Sin[theta]^2)/4)*
|
||
|
|
(-1 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(-2 + 3*Sin[theta]^2)) + 1.3499999999999999*^-11*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2 +
|
||
|
|
1.3499999999999999*^-11*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2 +
|
||
|
|
1.3499999999999999*^-11*r*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(60/(E^(r^2/4)*r^2) - (30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^5 + (15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
Sin[2*theta]^2) - r*(r*(2 - 6.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) - 3.*^-6*r*
|
||
|
|
(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 3*Sin[theta]^2)) + 1.3499999999999999*^-11*r*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2)*
|
||
|
|
(3.*^-6*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-2 + 3*Sin[theta]^2)*
|
||
|
|
(1 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) + 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2) + 1.*^-6*(3*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*(-210/(E^(r^2/4)*r^2) + (105*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (48*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/4)*
|
||
|
|
(1 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(2 - 3*Sin[theta]^2)) + 4.5*^-12*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
Sin[2*theta]^2))/(2*r^3*(-9.*^-12*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 + (1 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)*(1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(2 - 3*Sin[theta]^2)))^2)) -
|
||
|
|
3.*^-6*r*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Cos[theta]*Sin[theta]*
|
||
|
|
((1.5*^-12*r*((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*
|
||
|
|
r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2)))/r^3 + (48/E^(r^2/4) - (144*r^2)/E^(r^2/4) +
|
||
|
|
(32*r^4)/E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]*Sin[theta]*
|
||
|
|
(-9.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*((-6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 - (3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) +
|
||
|
|
(4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
Cos[theta]^2*Sin[theta]^2 - (3*((3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
(-1 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) - 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2))/2))/(2 - 9.*^-12*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) - (144*r^2)/
|
||
|
|
E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) + 2*r^4*
|
||
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2) -
|
||
|
|
(2.2500000000000003*^-12*r*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^5 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*Cos[theta]*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]*
|
||
|
|
(((-6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
(1 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) + 7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2) + 1.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(2*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
32*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
96*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) - 8*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r^3*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4)))/
|
||
|
|
(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) - (144*r^2)/
|
||
|
|
E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) + 2*r^4*
|
||
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2) +
|
||
|
|
(1.5*^-6*Cos[theta]*Sin[theta]*(-0.000018*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^
|
||
|
|
4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 1.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2) + (-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.*^-6*r*(
|
||
|
|
-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2))*
|
||
|
|
(r*(2 - 6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) - 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) + 1.5*^-6*(
|
||
|
|
42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-2 +
|
||
|
|
3*Sin[theta]^2)) + 1.3499999999999999*^-11*r*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2))/
|
||
|
|
(r^2*(9.*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
||
|
|
r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (1 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)*(1 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(2 -
|
||
|
|
3*Sin[theta]^2)))*(2 - 9.*^-12*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) +
|
||
|
|
(7.5*^-7*(4*r*(60/(E^(r^2/4)*r^2) - (30*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (15*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^
|
||
|
|
2) - 0.000018*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - (-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(-4 + 3.*^-6*r*(
|
||
|
|
-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(1 +
|
||
|
|
3*Cos[2*theta])) + 6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-2 + 1.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(1 +
|
||
|
|
3*Cos[2*theta]) + 1.*^-6*r*(60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(1 + 3*Cos[2*theta])))*
|
||
|
|
(1.8*^-11*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2 + (1 + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)*(2 - 3.*^-6*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) + 1.5*^-6*(
|
||
|
|
42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2) - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(4 - 3.*^-6*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
6.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*Cos[
|
||
|
|
2*theta] + 3.*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/
|
||
|
|
2 - (r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
||
|
|
8*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 2*r^4*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2) + 6.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(Cos[2*theta] -
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^4))*Sin[2*theta])/
|
||
|
|
(r*(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 6.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(1 - 3*Sin[theta]^2 + 3.75*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)*
|
||
|
|
(-2 + 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
||
|
|
(3.*^-6*Cos[theta]*Sin[theta]*
|
||
|
|
(((4.5*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(-210/(E^(r^2/4)*r^2) + (105*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (48*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2 + 3*
|
||
|
|
(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
(2 - 0.000012*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 3.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2) +
|
||
|
|
1.*^-6*r*(60/(E^(r^2/4)*r^2) - (30*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 + (15*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2) + (60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(-2 + 6.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
1.5*^-6*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2 - 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
1.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-9*(-210/(E^(r^2/4)*r^2) + (105*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (48*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
4 + r*(3*(180/(E^(r^2/4)*r^3) - (90*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^6 + (39*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (9*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^3) - (3*(1260/(E^(r^2/4)*r^3) - (630*((8*r^3)/
|
||
|
|
E^(r^2/4) - r^5/E^(r^2/4)))/r^6 +
|
||
|
|
(297*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(87*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^4 + (19*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) +
|
||
|
|
(32*r^4)/E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2)))/r^3 -
|
||
|
|
(4*((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
||
|
|
(-312/E^(r^2/4) + (684*r^2)/E^(r^2/4) - (128*r^4)/
|
||
|
|
E^(r^2/4) + 96*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 240*r^2*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 288*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
64*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 96*r^2*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 48*r^2*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
8*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2) + 24*r^2*
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
||
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2) + 16*r^3*((-5*r)/
|
||
|
|
(4*E^(r^2/4)) + r^3/(8*E^(r^2/4)) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
|
||
|
|
(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/
|
||
|
|
2) + 16*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2) + 2*r^4*(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/2))/r)*Sin[theta]^2)/
|
||
|
|
4)))*(-4 + 1.8*^-11*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 3.*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 1.5*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(4 - 12*Cos[2*theta] - 3.*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 9.*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^2*
|
||
|
|
Sin[2*theta]^2))/2 + 1.*^-6*(-0.000018*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(1 +
|
||
|
|
1.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2) + 7.5*^-7*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2) + (-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.*^-6*r*
|
||
|
|
(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) - 1.5*^-6*
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2 - 7.5*^-7*r*(-210/(E^(r^2/4)*r^2) +
|
||
|
|
(105*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/
|
||
|
|
E^(r^2/4) + 48*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 8*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r^3*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
2*r^4*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 +
|
||
|
|
((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) - (16*r^5)/
|
||
|
|
E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) + r^2/(4*
|
||
|
|
E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2))*
|
||
|
|
((3*(-210/(E^(r^2/4)*r^2) + (105*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (48*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*(48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + ((-312*r)/E^(r^2/4) + (200*r^3)/E^(r^2/4) -
|
||
|
|
(16*r^5)/E^(r^2/4) + 96*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 32*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 96*r^2*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
8*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r^3*(1/(2*E^(r^2/4)) -
|
||
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
||
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
||
|
|
r^3/(8*E^(r^2/4))))/2) + 8*r^3*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
2*r^4*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(2 + 3.*^-6*
|
||
|
|
(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]))*Sin[theta]^2)/4 +
|
||
|
|
3*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] - 6.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 + 3*Cos[2*theta]) + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) -
|
||
|
|
9.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
60/(E^(r^2/4)*r^2) - (30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^5 + (15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Sin[2*theta]^2)))/
|
||
|
|
(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
||
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*(
|
||
|
|
1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2 +
|
||
|
|
(3.*^-6*Sin[2*theta]*((3*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 +
|
||
|
|
((42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1.*^-6 - 3.*^-6*Cos[2*theta]))/4) +
|
||
|
|
6.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Cos[2*theta] + 6.*^-6*r*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(60/(E^(r^2/4)*r^2) -
|
||
|
|
(30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[2*theta] - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
||
|
|
3*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
Cos[2*theta]))*(-2 + 9.*^-12*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) - 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
||
|
|
3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) +
|
||
|
|
4.5*^-12*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Sin[2*theta]^2) + 1.*^-6*(9.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)/
|
||
|
|
4 - 3.*^-6*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)^
|
||
|
|
2*Cos[2*theta] + 3*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(-1 + 2.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(-1 + 3*Cos[2*theta])))*(-3*r*(-30/(E^(r^2/4)*r^2) +
|
||
|
|
(15*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*(1 +
|
||
|
|
7.5*^-7*(42/(E^(r^2/4)*r) - (21*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + (9*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2) + 9.*^-6*(-12/(E^(r^2/4)*r) +
|
||
|
|
(6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2 +
|
||
|
|
9.*^-6*r*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
60/(E^(r^2/4)*r^2) - (30*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^5 + (15*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Sin[2*theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
||
|
|
3*r*(-30/(E^(r^2/4)*r^2) + (15*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^5 - (6*((24*r^2)/E^(r^2/4) -
|
||
|
|
(8*r^4)/E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + ((48*r)/E^(r^2/4) -
|
||
|
|
(44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta]) -
|
||
|
|
9*(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + ((48*r)/E^(r^2/4) - (44*r^3)/
|
||
|
|
E^(r^2/4) + (4*r^5)/E^(r^2/4) + 8*r^3*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 2*r^4*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2))))/
|
||
|
|
(r*(2 - 9.*^-12*(6/(E^(r^2/4)*r) - (3*((8*r^3)/E^(r^2/4) -
|
||
|
|
r^5/E^(r^2/4)))/r^4 + ((24*r^2)/E^(r^2/4) - (8*r^4)/
|
||
|
|
E^(r^2/4) + 2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (48/E^(r^2/4) -
|
||
|
|
(144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) + 48*r^2*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 8*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r^3*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 3.*^-6*(6/(E^(r^2/4)*r) -
|
||
|
|
(3*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(42/(E^(r^2/4)*r) -
|
||
|
|
(21*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) + 2*r^4*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/
|
||
|
|
E^(r^2/4) + 8*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 2*r^4*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
(48/E^(r^2/4) - (144*r^2)/E^(r^2/4) + (32*r^4)/E^(r^2/4) +
|
||
|
|
48*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
8*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 2*r^4*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
||
|
|
(-12/(E^(r^2/4)*r) + (6*((8*r^3)/E^(r^2/4) - r^5/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((24*r^2)/E^(r^2/4) - (8*r^4)/E^(r^2/4) +
|
||
|
|
2*r^4*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
((48*r)/E^(r^2/4) - (44*r^3)/E^(r^2/4) + (4*r^5)/E^(r^2/4) +
|
||
|
|
8*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
2*r^4*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)^2)))/
|
||
|
|
(2*Sqrt[2]*r))/(Sqrt[2]*r))/2
|