13584 lines
914 KiB
Plaintext
13584 lines
914 KiB
Plaintext
(((-I)*Csc[theta]*(((-1/2*I)*r*Sin[theta]*
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(1 - 7.5*^-7*(168/(E^(r^2/4)*r^3) -
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(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
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(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
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(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 8*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)))/r^2 +
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(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) + 32*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) +
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8*r^2*(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)*Sin[theta]^2 +
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3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
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(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
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8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
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(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
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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*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
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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^3 - (2*(-32/E^(r^2/4) +
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(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 32*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) +
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8*r^2*(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 + ((80*r)/E^(r^2/4) -
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(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 64*(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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16*r^2*(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) + 32*r*(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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16*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) + 8*r^2*(-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*((16*r)/E^(r^2/4) -
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(4*r^3)/E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/
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E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
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r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
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16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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8*r^2*(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
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(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
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E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
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(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
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(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
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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*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
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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^2 + (-32/E^(r^2/4) +
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(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 32*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) +
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8*r^2*(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)*Sin[theta]^2)^2 -
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(1.*^-6*(-5.*^-7*(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
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r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
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((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
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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^3)*(-1 + 3*Cos[2*theta]) +
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(3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
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(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
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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*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
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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^3 - (2*(-32/E^(r^2/4) +
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(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 32*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) +
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8*r^2*(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 + ((80*r)/E^(r^2/4) -
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(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 64*(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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16*r^2*(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) + 32*r*(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) + 16*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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8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
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(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
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E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
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(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
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(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
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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*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
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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^2 + (-32/E^(r^2/4) +
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(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 32*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) +
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8*r^2*(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)*Sin[theta]^2)*
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((3*((21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
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(21*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
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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*(-32/E^(r^2/4) +
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(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 32*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) +
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8*r^2*(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^3 -
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(2*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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64*(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) - 16*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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32*r*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
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(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
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(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
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16*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) + 8*r^2*(-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^2 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
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64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
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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) + 64*(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) + 48*(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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16*r^2*(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) + 32*r*((-5*r)/
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(4*E^(r^2/4)) + r^3/(8*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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(r*(3/(4*E^(r^2/4)) - (5*r^2)/(8*E^(r^2/4)) +
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(r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4))/2) +
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32*r*(-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) + 8*r^2*
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(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
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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))/4 + 2*(-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*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
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(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 -
|
|
(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*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^3)*(1 -
|
|
3*Sin[theta]^2))))/(-2 + 3.*^-6*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta]) +
|
|
1.5*^-6*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)^2))/
|
|
Sqrt[2] + ((I/2)*r*Sin[theta]*(1 - 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + (13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) +
|
|
16*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) + 8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^5 - (21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) - Csc[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-3 +
|
|
Csc[theta]^2))*((3*((-105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^6 + (105*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^5 - (48*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^3 - (3*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 64*(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*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (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^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) + 32*r*((-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) +
|
|
32*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) + 8*r^2*
|
|
(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(6*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^3)*(-3 + Csc[theta]^2))))/
|
|
(7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) - Csc[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) + 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-3 + Csc[theta]^2))*((3*((21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) +
|
|
16*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) + 8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) - Csc[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-3 + Csc[theta]^2))*(-2 + 3.*^-6*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta]) +
|
|
1.5*^-6*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)) +
|
|
(5.*^-7*(-9.*^-6*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) + 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-3 + Csc[theta]^2))*(-9.*^-6*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2))/2))/
|
|
(r*(7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) - Csc[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-3 + Csc[theta]^2))*(2 - 9.*^-12*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*
|
|
(2 + 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(1 + 3*Cos[2*theta])))*(1.5*^-6*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Cos[theta] -
|
|
Cot[theta]*Csc[theta] + 3*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) - Csc[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-3 + Csc[theta]^2))*(-2 + 9.*^-12*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(1 - 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
1.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(2 - 3*Sin[theta]^2)))*
|
|
(2 - 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(2 + 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2 + (1 + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)*
|
|
(2 - 3.*^-6*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3)*(4 - 3.*^-6*r*
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^4)))/
|
|
((-2 + 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
6.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 - 3*Sin[theta]^2 + 3.75*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)/4 - 3.*^-6*
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 2.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(-1 + 3*Cos[2*theta])))*
|
|
(-9.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) - 7.5*^-7*(168/(E^(r^2/4)*
|
|
r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2))/2) +
|
|
(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
((168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
|
r^2 + (-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*(1.*^-6 - 3.*^-6*Cos[2*theta]))/4) + 3.*^-6*
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[2*theta])*
|
|
(-8 + 3.6*^-11*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) - 6.*^-6*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 + 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(4 - 12*Cos[2*theta] - 3.*^-6*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 1.8*^-11*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) + 2.*^-6*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
|
r^2 + (-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*Sin[theta]^2) + ((-6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r^2)*(-2 + 6.*^-6*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
3.*^-6*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
|
r^2 + (-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*Sin[theta]^2 - 7.5*^-7*r*(-840/(E^(r^2/4)*r^4) +
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 +
|
|
((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(6*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^3) -
|
|
(3*((-105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
|
(105*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(48*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^3 - (3*((80*r)/
|
|
E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*(-1/2*
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 64*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 64*(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*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (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^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) + 32*r*((-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) + 32*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
|
(1 + 3*Cos[2*theta]) - 3.*^-6*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
1.5*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(4 - 12*Cos[2*theta] -
|
|
3.*^-6*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
|
r^2 + (-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 9.*^-12*
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 + 6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 + 1.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*Sin[theta]^2) + (-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*Sin[theta]^2 - 7.5*^-7*r*(-840/(E^(r^2/4)*r^4) +
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 + 3*Cos[2*theta]) + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 9.*^-6*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
2)))/r^2 + (-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
16*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
32*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 8*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))/r)*
|
|
Sin[theta]^2)*((5.*^-7*(-9.*^-6*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) - 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2))/2)*
|
|
(r*(2 - 6.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(2 - 3*Sin[theta]^2)))*
|
|
(2 - 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]^2 +
|
|
(((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(2 - 3*Sin[theta]^2)))*(-2 + 9.*^-12*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
6.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 - 3*Sin[theta]^2 + 3.75*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(2 + 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2 + 6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(1 + 1.*^-6*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 - 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(2 + 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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] -
|
|
((168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(2 + 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 + 3*Cos[2*theta])))/4 + (-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
|
3.*^-6*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)/4 - 3.*^-6*
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 2.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(-1 + 3*Cos[2*theta])))*
|
|
(-3.*^-6*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(2 + 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(2 + 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 + 3*Cos[2*theta])))*(-2 + 9.*^-12*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 - 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(2 + 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 - 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2))*Cos[theta]*Sin[theta]*
|
|
Sin[2*theta]*(-2 + 9.*^-12*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 - 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*
|
|
r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
|
3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*Sin[theta]^2)*(1 + 3.*^-6*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(2 - 3*Sin[theta]^2)))*(6*((3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
|
3.*^-6*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*Sin[theta]^2 + 7.5*^-7*r*(-840/(E^(r^2/4)*r^4) +
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(6*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^3) +
|
|
(3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^6 + (105*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(48*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^3 -
|
|
(3*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 64*(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*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (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^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) + 32*r*((-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) + 32*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) + 8*r^2*
|
|
(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
|
0.000027*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Sin[2*theta]^2) -
|
|
(r*(2 - 6.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) - 3.*^-6*r*(-120/(E^(r^2/4)*
|
|
r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*Sin[theta]^2 + 7.5*^-7*r*(-840/(E^(r^2/4)*r^4) +
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
|
-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
1.*^-6*(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)) +
|
|
4.5*^-12*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Sin[2*theta]^2))/
|
|
(2*r^2*(-9.*^-12*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*Sin[theta]^2)*(1 + 3.*^-6*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2))/2)*
|
|
(((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*
|
|
(1 - 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
1.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*
|
|
(1 - 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
1.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]^2 +
|
|
(((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
6.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 - 3*Sin[theta]^2 + 3.75*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 +
|
|
(6*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^3 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) - 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) - 1.*^-6*
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^3) -
|
|
(3*((21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(21*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^3 -
|
|
(2*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 64*(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*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (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^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) + 32*r*((-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) + 32*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) + 8*r^2*
|
|
(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
|
(1 + 3*Cos[2*theta]) - 3.*^-6*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 + 1.5*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(4 - 12*Cos[2*theta] - 3.*^-6*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 9.*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(1 - 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*Sin[theta]^2) + 1.*^-6*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]) +
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) -
|
|
9.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)*
|
|
((-1.*^-12*((3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]^2 +
|
|
(((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
6.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 - 3*Sin[theta]^2 + 3.75*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*
|
|
(2 + 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*
|
|
(1 - 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
1.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^3)*(2 + 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)^2*Cos[theta]^2 +
|
|
3.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 +
|
|
(6*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^3 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (21*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (9*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(21*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^3 -
|
|
(2*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 64*(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*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (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^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) + 32*r*((-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) + 32*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) + 8*r^2*
|
|
(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 - 6.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 - 3*Sin[theta]^2 + 3.75*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 + 3*Cos[2*theta])) - (3*((21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (21*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (9*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Sin[2*theta]^2)*
|
|
((-3*((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]) -
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) +
|
|
9.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) + 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-3 + Csc[theta]^2))*((3*((21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) +
|
|
16*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) + 8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) - Csc[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-3 + Csc[theta]^2))*(-2 + 3.*^-6*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta]) +
|
|
1.5*^-6*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)) -
|
|
(1.*^-6*(-((3.*^-6*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-840/(E^(r^2/4)*r^4) +
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta]) + 1.5*^-6*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)*
|
|
((3*((-105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
|
(105*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(48*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^3 -
|
|
(3*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 64*(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*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (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^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) + 32*r*((-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) +
|
|
32*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) + 8*r^2*
|
|
(-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*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^6 + (15*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^5 - (6*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^3)*(1 -
|
|
3*Sin[theta]^2))))/(-2 + 3.*^-6*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta]) +
|
|
1.5*^-6*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)^2 +
|
|
(5.*^-7*(-9.*^-6*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) + 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-3 + Csc[theta]^2))*(-9.*^-6*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2))/2))/
|
|
(r*(7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) - Csc[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-3 + Csc[theta]^2))*(2 - 9.*^-12*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*
|
|
(2 + 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(1 + 3*Cos[2*theta])))*(1.5*^-6*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Cos[theta] -
|
|
Cot[theta]*Csc[theta] + 3*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) - Csc[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-3 + Csc[theta]^2))*(-2 + 9.*^-12*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) + 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(-120/(E^(r^2/4)*
|
|
r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) - Csc[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) +
|
|
16*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) + 8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta]) + 1.5*^-6*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) + (32*r^2)/
|
|
E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
2) + 8*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))/r)*Sin[theta]^2) +
|
|
(1.125*^-12*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)^2 -
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) + (32*r^2)/
|
|
E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
2) + 8*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))/r)*
|
|
(7.5*^-7*r^2*(5040/(E^(r^2/4)*r^5) - (630*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^6 + (297*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^5 - (87*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^3 -
|
|
(4*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 64*(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*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(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^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) +
|
|
32*r*((-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) +
|
|
32*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) + 8*r^2*
|
|
(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-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*(720/(E^(r^2/4)*r^5) -
|
|
(90*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
|
(39*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^3)*(-3 + Csc[theta]^2)) +
|
|
(2.25*^-12*r^2*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/r^3)*(-840/(E^(r^2/4)*r^4) +
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(5040/(E^(r^2/4)*r^5) - (630*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^6 + (297*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^5 - (87*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^3 - (4*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 64*(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*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (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^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) + 32*r*((-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) +
|
|
32*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) + 8*r^2*
|
|
(-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*(720/(E^(r^2/4)*r^5) -
|
|
(90*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
|
(39*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^3)*(-3 + Csc[theta]^2)) -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*
|
|
(720/(E^(r^2/4)*r^5) - (90*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^6 + (39*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^5 - (9*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^3)*(-1 +
|
|
3*Cos[2*theta]) + 1.5*^-6*r^2*(5040/(E^(r^2/4)*r^5) -
|
|
(630*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
|
(297*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(87*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^3 -
|
|
(4*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 64*(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*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (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^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) + 32*r*((-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) +
|
|
32*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) + 8*r^2*
|
|
(-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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) - Csc[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(240/(E^(r^2/4)*r^4) - (30*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (15*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 - (5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2) -
|
|
0.000018*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - (-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-2 + 1.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(1 + 3*Cos[2*theta])))*
|
|
Csc[theta]*(1.5*^-6*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Cos[theta] -
|
|
Cot[theta]*Csc[theta] + 3*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) - Csc[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-3 + Csc[theta]^2))*(-2 + 9.*^-12*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) + 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-3 + Csc[theta]^2))*(-3*r*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
9.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Sin[2*theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(3*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r) - Csc[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-3 + Csc[theta]^2))*(-2 + 9.*^-12*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2))/2)*
|
|
(-0.000018*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2 + 6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(1 + 1.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
7.5*^-7*r*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3)^2 + 6*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 + 1.*^-6*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
7.5*^-7*r*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]^2 +
|
|
(((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
6.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 - 3*Sin[theta]^2 + 3.75*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*
|
|
(2 + 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2 + (1 + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)*
|
|
(2 - 3.*^-6*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3)*(4 - 3.*^-6*r*(-120/(E^(r^2/4)*
|
|
r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*
|
|
r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^4)))/
|
|
((-2 + 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
6.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 - 3*Sin[theta]^2 + 3.75*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*
|
|
(1 - 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
1.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
9.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Sin[2*theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(3*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)/4 -
|
|
3.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
|
2.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*(-1 + 3*Cos[2*theta])))*(-9.*^-6*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) - 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2))/2) +
|
|
(3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
((168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*(1.*^-6 - 3.*^-6*Cos[2*theta]))/4) +
|
|
3.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[2*theta])*
|
|
(-8 + 3.6*^-11*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 6.*^-6*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(4 -
|
|
12*Cos[2*theta] - 3.*^-6*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 1.8*^-11*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(1 - 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*Sin[theta]^2) + 1.*^-6*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 + 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 -
|
|
(30*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 +
|
|
(15*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^3 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*Sin[theta]^2) - 1.*^-6*((-6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(
|
|
3*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(240/(E^(r^2/4)*
|
|
r^4) - (30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(
|
|
3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(6*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^3) -
|
|
(3*((-105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
|
(105*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(48*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^3 -
|
|
(3*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 64*(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*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (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^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) + 32*r*((-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) + 32*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) + 8*r^2*
|
|
(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
|
3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(1 - 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*Sin[theta]^2) + 1.*^-6*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]) +
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) -
|
|
9.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
|
240/(E^(r^2/4)*r^4) - (30*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 + (15*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (5*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)*
|
|
((5.*^-7*(-9.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2))/2)*
|
|
(r*(2 - 6.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(2 - 3*Sin[theta]^2)))*
|
|
(2 - 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]^2 +
|
|
(((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(2 - 3*Sin[theta]^2)))*
|
|
(-2 + 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
6.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 - 3*Sin[theta]^2 + 3.75*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*
|
|
(2 + 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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] -
|
|
((168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(2 + 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 + 3*Cos[2*theta])))/4 + (-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
|
3.*^-6*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2) -
|
|
0.000018*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - (-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-2 + 1.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(1 + 3*Cos[2*theta])))*
|
|
Sin[theta]*(((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*
|
|
(1 - 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
1.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)/4 -
|
|
3.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
|
2.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*(-1 + 3*Cos[2*theta])))*
|
|
(-3.*^-6*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(2 + 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(2 + 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 + 3*Cos[2*theta])))*(-2 + 9.*^-12*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
|
3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(2 + 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*
|
|
r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
|
3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
|
(-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2))*Cos[theta]*Sin[theta]*
|
|
Sin[2*theta]*(-2 + 9.*^-12*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
|
3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(6*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^3)*(2 + 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*
|
|
(240/(E^(r^2/4)*r^4) - (30*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 + (15*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (5*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r^2)*((-6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]^2 +
|
|
3.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 -
|
|
(30*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 +
|
|
(15*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^3 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^6 + (105*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^5 - (48*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^3 - (3*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 64*(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*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (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^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) + 32*r*((-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) + 32*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) + 8*r^2*
|
|
(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*
|
|
r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
6.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(1 -
|
|
3*Sin[theta]^2 + 3.75*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]) -
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) +
|
|
9.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
|
240/(E^(r^2/4)*r^4) - (30*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 + (15*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (5*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Sin[2*theta]^2)*
|
|
(-6*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 + 3*Cos[2*theta])) + (3*((21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (21*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (9*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)*
|
|
(-1/4*(r*(2 - 6.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*Sin[theta]^2)*(1 + 3.*^-6*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]^2 +
|
|
(((21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) + (32*r^2)/
|
|
E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
2) + 8*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))/r)*Sin[theta]^2 -
|
|
6.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 - 3*Sin[theta]^2 + 3.75*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/
|
|
E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*
|
|
r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]^2*
|
|
(-3.*^-6*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*
|
|
(2 + 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) + (32*r^2)/
|
|
E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
2) + 8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2) -
|
|
0.000018*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - (-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-2 + 1.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(1 + 3*Cos[2*theta])))*
|
|
Sin[theta]*(-0.000018*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2 + 6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(1 + 1.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
7.5*^-7*r*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2) -
|
|
0.000018*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - (-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-2 + 1.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(1 + 3*Cos[2*theta])))*
|
|
Sin[theta]*(6.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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] -
|
|
((168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(2 + 3.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 + 3*Cos[2*theta])))/4 + (-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
|
3.*^-6*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
9.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Sin[2*theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(3*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(2 - 3*Sin[theta]^2)))*
|
|
(-2 + 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)/4 -
|
|
3.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
|
2.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*(-1 + 3*Cos[2*theta])))*(-4*r*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2) + 0.000018*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
|
3*Cos[2*theta]) + (-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-2 +
|
|
1.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(1 + 3*Cos[2*theta])))*
|
|
Sin[2*theta]^2 + 2*Cos[2*theta]*(4*r*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2) - 0.000018*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
|
3*Cos[2*theta]) - (-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-2 +
|
|
1.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(1 + 3*Cos[2*theta])))*
|
|
(-2 + 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*
|
|
r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
|
3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2 + 3*r*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
|
-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)))*Sin[2*theta]^2*
|
|
(-2 + 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*
|
|
r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
|
3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(2 - 3*Sin[theta]^2)))*
|
|
(3.*^-6*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
|
3.*^-6*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(720/(E^(r^2/4)*r^5) - (90*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^6 + (39*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^5 - (9*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^3) +
|
|
(9*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(5040/(E^(r^2/4)*r^5) -
|
|
(630*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
|
(297*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(87*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^3 -
|
|
(4*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) - 32*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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 + (64/E^(r^2/4) - (64*r^2)/E^(r^2/4) -
|
|
64*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 64*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 64*(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*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (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^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) + 32*r*((-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) + 32*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) + 8*r^2*
|
|
(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-2 + 3*Sin[theta]^2)) + 1.3499999999999999*^-11*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3)*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Sin[2*theta]^2) -
|
|
r*(r*(2 - 6.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
1.*^-6*(3*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(2 - 3*Sin[theta]^2)) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/r^2)*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Sin[2*theta]^2))/
|
|
(2*r^3*(-9.*^-12*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/
|
|
E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*
|
|
r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]*Sin[theta]*
|
|
(-9.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 - (3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2))/2))/
|
|
(2 - 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) + (32*r^2)/
|
|
E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
2) + 8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*
|
|
(1 - 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
1.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(21*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) + (32*r^2)/
|
|
E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
2) + 8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3)^2 + 6*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 + 1.*^-6*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
7.5*^-7*r*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/
|
|
r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + ((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(2 - 3*Sin[theta]^2)))*
|
|
(2 - 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(240/(E^(r^2/4)*r^4) - (30*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (15*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 - (5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2) -
|
|
0.000018*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - (-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(
|
|
-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-2 + 1.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(240/(E^(r^2/4)*r^4) -
|
|
(30*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 +
|
|
(15*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(1 + 3*Cos[2*theta])))*
|
|
(1.8*^-11*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2 + (1 + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2)*
|
|
(2 - 3.*^-6*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3)*(4 - 3.*^-6*r*(-120/(E^(r^2/4)*
|
|
r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*
|
|
r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^4))*
|
|
Sin[2*theta])/(r*(-2 + 9.*^-12*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 - (2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) +
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
8*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
6.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 - 3*Sin[theta]^2 + 3.75*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
3.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(240/(E^(r^2/4)*r^4) - (30*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 + (15*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (5*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r^2) + 1.5*^-6*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2) +
|
|
(240/(E^(r^2/4)*r^4) - (30*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 + (15*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (5*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*(-2 + 6.*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
|
1.5*^-6*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*Sin[theta]^2 - 7.5*^-7*r*(-840/(E^(r^2/4)*r^4) +
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) -
|
|
(16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(720/(E^(r^2/4)*r^5) -
|
|
(90*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^6 +
|
|
(39*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(9*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^4 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^3) -
|
|
(3*(5040/(E^(r^2/4)*r^5) - (630*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^6 + (297*(16/E^(r^2/4) -
|
|
(16*r^2)/E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (87*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^3 - (4*((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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 + (64/E^(r^2/4) -
|
|
(64*r^2)/E^(r^2/4) - 64*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 64*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
64*(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*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(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^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) + 32*r*((-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) + 32*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
|
(1 + 3*Cos[2*theta]) - 3.*^-6*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 + 1.5*^-6*
|
|
(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(4 - 12*Cos[2*theta] - 3.*^-6*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 9.*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2 + 6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(1 + 1.*^-6*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*Sin[theta]^2) + (-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*
|
|
(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*Sin[theta]^2 - 7.5*^-7*r*(-840/(E^(r^2/4)*r^4) +
|
|
(105*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(48*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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)))/r^2 + ((80*r)/E^(r^2/4) -
|
|
(16*r^3)/E^(r^2/4) - 32*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 64*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
16*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 32*r*(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) + 16*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) +
|
|
8*r^2*(-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*(-840/(E^(r^2/4)*r^4) + (105*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (48*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) +
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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)))/
|
|
r^2 + ((80*r)/E^(r^2/4) - (16*r^3)/E^(r^2/4) -
|
|
32*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
64*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 16*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
32*r*(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) +
|
|
16*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) + 8*r^2*(-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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]) +
|
|
7.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) -
|
|
9.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
|
240/(E^(r^2/4)*r^4) - (30*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 + (15*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (5*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 +
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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 + ((168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1.*^-6 - 3.*^-6*
|
|
Cos[2*theta]))/4) + 6.*^-6*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
|
240/(E^(r^2/4)*r^4) - (30*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 + (15*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (5*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r^2)*Cos[2*theta] -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
|
3*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-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*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*Sin[theta]^2 -
|
|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
|
3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2 + (168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)/4 -
|
|
3.*^-6*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(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*(24/(E^(r^2/4)*r^3) -
|
|
(3*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(-1 +
|
|
2.5*^-7*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*(-1 + 3*Cos[2*theta])))*(-3*r*(-120/(E^(r^2/4)*r^4) +
|
|
(15*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^5 -
|
|
(6*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(168/(E^(r^2/4)*r^3) - (21*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 + (9*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 32*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 8*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))/
|
|
r)*Sin[theta]^2) + 9.*^-6*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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*(-48/(E^(r^2/4)*r^3) + (6*((16*r)/E^(r^2/4) -
|
|
(4*r^3)/E^(r^2/4)))/r^4 - (3*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + ((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
|
240/(E^(r^2/4)*r^4) - (30*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^5 + (15*(16/E^(r^2/4) - (16*r^2)/
|
|
E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (5*((-40*r)/E^(r^2/4) +
|
|
(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 8*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
|
(-32/E^(r^2/4) + (32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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8*r^2*(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)*Sin[2*theta]^2 +
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3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
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E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
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8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
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3*r*(-120/(E^(r^2/4)*r^4) + (15*((16*r)/E^(r^2/4) -
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(4*r^3)/E^(r^2/4)))/r^5 - (6*(16/E^(r^2/4) - (16*r^2)/
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E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4)))))/r^4 + ((-40*r)/E^(r^2/4) +
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(8*r^3)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 8*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))/r^3)*
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(1 + 3*Cos[2*theta]) - 9*(-48/(E^(r^2/4)*r^3) +
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(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
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(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
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((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
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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^2)*Sin[2*theta]^2))))/
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(r*(2 - 9.*^-12*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) -
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(4*r^3)/E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/
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E^(r^2/4) + 8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
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|
r^3)^2*(1 + 3*Cos[2*theta]) + 1.5*^-6*(168/(E^(r^2/4)*r^3) -
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(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
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(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
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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*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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^2 + (-32/E^(r^2/4) +
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(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*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) +
|
|
8*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))/r)*Sin[theta]^2 +
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|
3.*^-6*(24/(E^(r^2/4)*r^3) - (3*((16*r)/E^(r^2/4) - (4*r^3)/
|
|
E^(r^2/4)))/r^4 + (16/E^(r^2/4) - (16*r^2)/E^(r^2/4) +
|
|
8*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta] + 7.5*^-7*(168/(E^(r^2/4)*r^3) -
|
|
(21*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 +
|
|
(9*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + (-32/E^(r^2/4) +
|
|
(32*r^2)/E^(r^2/4) + 32*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) - 16*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 32*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
8*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))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-48/(E^(r^2/4)*r^3) +
|
|
(6*((16*r)/E^(r^2/4) - (4*r^3)/E^(r^2/4)))/r^4 -
|
|
(3*(16/E^(r^2/4) - (16*r^2)/E^(r^2/4) + 8*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
((-40*r)/E^(r^2/4) + (8*r^3)/E^(r^2/4) + 16*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 8*r^2*
|
|
(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
|