14084 lines
960 KiB
Plaintext
14084 lines
960 KiB
Plaintext
(((-I)*Csc[theta]*(((-1/2*I)*r*Sin[theta]*
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(1 - 7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
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(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
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(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4)))))/r^3 -
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(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
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12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2)))/r^2 +
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((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) + 24*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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4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
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3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
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(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) -
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(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/r^3)*(-1 + 3*Sin[theta]^2))*
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((-1.*^-12*((3*((21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
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(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
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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*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
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12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2)))/r^3 -
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(2*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*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) + 4*r^3*(3/(4*E^(r^2/4)) -
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(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
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r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
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E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
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36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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96*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) - 12*r^3*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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24*r^2*(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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12*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) + 4*r^3*(-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*((12*r^2)/E^(r^2/4) -
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(2*r^4)/E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) -
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(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
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E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
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(1 - 3*Sin[theta]^2))^2)/(-2 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
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(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
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((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
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(-1 + 3*Cos[2*theta]) + 1.5*^-6*(84/(E^(r^2/4)*r^2) -
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(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
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(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
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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*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
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12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
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(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 24*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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4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)^2 -
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(1.*^-6*(-5.*^-7*(3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/
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r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
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4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
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(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
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12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2))/r^3)*(-1 + 3*Cos[2*theta]) +
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(3*((21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
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(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
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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*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
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12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2)))/r^3 -
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(2*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*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) + 4*r^3*(3/(4*E^(r^2/4)) -
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(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
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r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
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E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
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36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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24*r^2*(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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12*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) + 4*r^3*(-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)/2)^2 +
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(-2 + 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
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(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
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E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
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(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
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(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
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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*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
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12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
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(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 24*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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4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
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((3*((21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
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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*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
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12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2)))/r^4 +
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(9*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*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) + 4*r^3*(3/(4*E^(r^2/4)) -
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(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
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r^3 - (2*(-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
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E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
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36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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24*r^2*(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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12*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) + 4*r^3*(-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 + ((312*r)/E^(r^2/4) - (108*r^3)/E^(r^2/4) -
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168*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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36*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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144*(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) - 72*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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96*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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48*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) - 12*r^3*(3/(4*E^(r^2/4)) -
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(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
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24*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*(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) + 24*r^2*((-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) +
|
|
24*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) + 4*r^3*
|
|
(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/2))/r)*
|
|
Sin[theta]^2)/4 + 3*((3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^5 - (3*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^4 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^3)*(1 -
|
|
3*Sin[theta]^2))))/(-2 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta]) + 1.5*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)^2))/
|
|
Sqrt[2] + ((I/2)*r*Sin[theta]*(1 - 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*(
|
|
-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-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*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*((3*((21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/
|
|
r^5 - (21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r))/4 + 3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r))/4 + 3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-3 + Csc[theta]^2))*((3*((-105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^6 + (105*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (48*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 - (3*(-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2)))/r^2 + ((312*r)/E^(r^2/4) - (108*r^3)/E^(r^2/4) -
|
|
168*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
36*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
144*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 72*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
96*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) +
|
|
48*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) - 12*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
24*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*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 24*r^2*((-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) +
|
|
24*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) + 4*r^3*
|
|
(-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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^6 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(6*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^4 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^3)*(-3 + Csc[theta]^2))))/
|
|
(7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + (13*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r) - 2*Csc[theta]^2 + 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-3 + Csc[theta]^2))*
|
|
((3*((21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4 +
|
|
3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-3 + Csc[theta]^2))*(-2 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta]) + 1.5*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)) +
|
|
(5.*^-7*(-9.*^-6*r*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + (13*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r) - 2*Csc[theta]^2 + 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-3 + Csc[theta]^2))*(-9.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 + (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/
|
|
r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2))/2))/
|
|
(r*(7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-3 + Csc[theta]^2))*(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
|
(2 + 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(1 + 3*Cos[2*theta])))*(1.5*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Cos[theta] -
|
|
Cot[theta]*Csc[theta] + 3*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-3 + Csc[theta]^2))*(-2 + 9.*^-12*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 + (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 - 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4))*
|
|
(r*(2 - 6.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(2 - 3*Sin[theta]^2)))*
|
|
(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(2 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2 + (1 + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
|
(2 - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2) - 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(4 - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2) + 6.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^4)))/
|
|
((-2 + 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
6.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(1 - 3*Sin[theta]^2 + 3.75*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 - 3.*^-6*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 2.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r)*(-1 + 3*Cos[2*theta])))*(-9.*^-6*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 + (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3) - 7.5*^-7*(84/(E^(r^2/4)*
|
|
r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/
|
|
r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
|
r^2 + ((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) +
|
|
48*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
12*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
24*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r)*Sin[theta]^2))/2) +
|
|
(3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) + ((84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
|
r^2 + ((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) +
|
|
48*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
12*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
24*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r)*(1.*^-6 - 3.*^-6*Cos[2*theta]))/4) + 3.*^-6*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 + (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[2*theta])*
|
|
(-8 + 3.6*^-11*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) - 6.*^-6*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(4 - 12*Cos[2*theta] - 3.*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 1.8*^-11*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
((21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2 + 3*((3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) + 2.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
((-6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(-2 + 6.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) + 3.*^-6*r*(-60/(E^(r^2/4)*
|
|
r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/
|
|
r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/
|
|
E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(48*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) +
|
|
48*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
12*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
24*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/
|
|
4))) - 36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*
|
|
E^(r^2/4))) + 96*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
12*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 24*r^2*(1/(2*E^(r^2/4)) -
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
|
r^3/(8*E^(r^2/4))))/2) + 12*r^2*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
4*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2) +
|
|
1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) +
|
|
48*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
12*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
24*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*
|
|
E^(r^2/4))) - 36*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 96*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
12*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 24*r^2*(1/(2*E^(r^2/4)) -
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
|
r^3/(8*E^(r^2/4))))/2) + 12*r^2*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
4*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/2 +
|
|
r*(3*((-15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^6 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(6*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
|
r^4 + ((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) +
|
|
48*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
12*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
24*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r^3) - (3*((-105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^6 + (105*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^5 - (48*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 - (3*(-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2)))/r^2 + ((312*r)/E^(r^2/4) - (108*r^3)/
|
|
E^(r^2/4) - 168*r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 36*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 144*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
72*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 96*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) + 48*r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
|
12*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/2) + 24*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*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
24*r^2*((-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) + 24*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) + 4*r^3*(-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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
|
(1 + 3*Cos[2*theta]) - 3.*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
1.5*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(4 - 12*Cos[2*theta] -
|
|
3.*^-6*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 9.*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)^2 + 6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 + 1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*
|
|
(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2))*((3*((21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (21*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*(2 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]) +
|
|
7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 9.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
2)))/r^2 + ((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) +
|
|
48*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
12*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
24*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
|
Sin[theta]^2)*((5.*^-7*(-9.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 + (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/
|
|
r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) - 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2))/2)*
|
|
(r*(2 - 6.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(2 - 3*Sin[theta]^2)))*
|
|
(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2 +
|
|
(((21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(2 - 3*Sin[theta]^2)))*(-2 + 9.*^-12*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
6.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(1 - 3*Sin[theta]^2 + 3.75*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(2 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2 + 6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(1 + 1.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 - 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)))/
|
|
(r*(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(2 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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] - ((84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(2 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))/4 +
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)))/
|
|
(r*(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 - 3.*^-6*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 2.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r)*(-1 + 3*Cos[2*theta])))*(-3.*^-6*
|
|
((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(2 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(2 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))*
|
|
(-2 + 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 - 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(2 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 - 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*((-6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2))*Cos[theta]*Sin[theta]*
|
|
Sin[2*theta]*(-2 + 9.*^-12*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 - 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*(1 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)))*
|
|
(6*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2) + 2*(-6*((3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^6 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(6*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^4 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^3) +
|
|
(3*((21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/2 +
|
|
(3*r*((-105*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^6 +
|
|
(105*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(48*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^3 - (3*(-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/
|
|
4))) - 36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*
|
|
E^(r^2/4))) + 96*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
12*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 24*r^2*(1/(2*E^(r^2/4)) -
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
|
r^3/(8*E^(r^2/4))))/2) + 12*r^2*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
4*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
|
((312*r)/E^(r^2/4) - (108*r^3)/E^(r^2/4) - 168*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 36*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 144*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 72*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
96*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) +
|
|
48*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) - 12*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
24*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*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 24*r^2*((-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) + 24*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) + 4*r^3*(-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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
|
0.000027*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*((-6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2) -
|
|
(r*(2 - 6.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
|
-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
1.*^-6*(3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4)*(1 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)) +
|
|
4.5*^-12*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2))/
|
|
(2*r^2*(-9.*^-12*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*(1 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 + (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/
|
|
r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2))/2)*
|
|
(((-6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
|
(1 - 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4)))/
|
|
(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
|
(1 - 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4))*
|
|
((3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2 +
|
|
(((21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
6.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(1 - 3*Sin[theta]^2 + 3.75*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
|
(3.*^-6*r*Cos[theta]*Sin[theta]*
|
|
(-1/2*((((-6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 +
|
|
(6*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^3 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r^2)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
|
7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) - 1.*^-6*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/r^2)*
|
|
(3*((3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r^3) - (3*((21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(21*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) +
|
|
48*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
12*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
24*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^3 - (2*(-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) -
|
|
(18*r^4)/E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 36*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 96*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
12*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 24*r^2*(1/(2*E^(r^2/4)) -
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
|
r^3/(8*E^(r^2/4))))/2) + 12*r^2*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
4*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
|
((312*r)/E^(r^2/4) - (108*r^3)/E^(r^2/4) - 168*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 36*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 144*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 72*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
96*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) +
|
|
48*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) - 12*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
24*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*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 24*r^2*((-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) + 24*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) + 4*r^3*(-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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
|
(1 + 3*Cos[2*theta]) - 3.*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 + 1.5*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(4 - 12*Cos[2*theta] - 3.*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 9.*^-12*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 - 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4))*
|
|
((3*((21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*(2 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]) +
|
|
7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 9.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*(
|
|
-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
|
((-1.*^-12*((3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2 +
|
|
(((21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
6.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(1 - 3*Sin[theta]^2 + 3.75*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
|
(2 + 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
|
(1 - 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4)))/
|
|
((2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/
|
|
r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)^2*(1 +
|
|
3*Cos[2*theta]) + 3*((3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^5 - (3*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^4 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^3)*(2 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 + (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (3*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)^2*Cos[theta]^2 +
|
|
3.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^5 + (6*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r^2)*Cos[theta]^2 + 7.5*^-7*
|
|
((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*(-2 + 3*Sin[theta]^2) +
|
|
(((21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(21*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) +
|
|
48*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
12*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
24*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^3 - (2*(-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) -
|
|
(18*r^4)/E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 36*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 96*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
12*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 24*r^2*(1/(2*E^(r^2/4)) -
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
|
r^3/(8*E^(r^2/4))))/2) + 12*r^2*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
4*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
|
((312*r)/E^(r^2/4) - (108*r^3)/E^(r^2/4) - 168*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 36*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 144*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 72*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
96*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) +
|
|
48*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) - 12*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
24*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*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 24*r^2*((-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) + 24*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) + 4*r^3*(-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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 - 6.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(1 - 3*Sin[theta]^2 + 3.75*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 4.5*^-12*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])) -
|
|
(3*((21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*(2 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2)*
|
|
((-3*((21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*(2 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]) -
|
|
7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 9.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*(
|
|
-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-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*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + (13*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r) - 2*Csc[theta]^2 + 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-3 + Csc[theta]^2))*
|
|
((3*((21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4 +
|
|
3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-3 + Csc[theta]^2))*(-2 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta]) + 1.5*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)) -
|
|
(1.*^-6*(-((3.*^-6*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)*((3*((21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (21*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4 + 3*((3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta]) + 1.5*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
|
((3*((-105*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^6 +
|
|
(105*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(48*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^3 - (3*(-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2)))/r^2 + ((312*r)/E^(r^2/4) - (108*r^3)/E^(r^2/4) -
|
|
168*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
36*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
144*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 72*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
96*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) +
|
|
48*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) - 12*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
24*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*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 24*r^2*((-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) +
|
|
24*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) + 4*r^3*
|
|
(-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*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^6 + (15*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^5 - (6*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^4 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^3)*(1 -
|
|
3*Sin[theta]^2))))/(-2 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-1 + 3*Cos[2*theta]) + 1.5*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)^2 +
|
|
(5.*^-7*(-9.*^-6*r*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + (13*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r) - 2*Csc[theta]^2 + 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-3 + Csc[theta]^2))*(-9.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 + (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/
|
|
r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2))/2))/
|
|
(r*(7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-3 + Csc[theta]^2))*(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
|
(2 + 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(1 + 3*Cos[2*theta])))*(1.5*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Cos[theta] -
|
|
Cot[theta]*Csc[theta] + 3*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-3 + Csc[theta]^2))*(-2 + 9.*^-12*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*(
|
|
-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-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*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + (13*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r) - 2*Csc[theta]^2 + 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4 +
|
|
3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta]) + 1.5*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) + 4*r^3*
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
(1.125*^-12*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)^2 -
|
|
7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) + 4*r^3*
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*
|
|
(7.5*^-7*r^2*(2520/(E^(r^2/4)*r^4) - (630*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^6 + (297*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (87*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 - (4*(-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2)))/r^2 + ((312*r)/E^(r^2/4) - (108*r^3)/E^(r^2/4) -
|
|
168*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
36*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
144*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 72*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
96*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) +
|
|
48*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) - 12*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
24*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*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 24*r^2*
|
|
((-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) +
|
|
24*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) + 4*r^3*
|
|
(-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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*
|
|
(360/(E^(r^2/4)*r^4) - (90*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^6 + (39*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^5 - (9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^3)*
|
|
(-3 + Csc[theta]^2)) + (2.25*^-12*r^2*(-420/(E^(r^2/4)*r^3) +
|
|
(105*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(48*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)^2 + 9.000000000000001*^-12*r^2*
|
|
(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-420/(E^(r^2/4)*r^3) +
|
|
(105*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(48*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*(-1 + 3*Cos[2*theta])*Csc[theta]^2 +
|
|
1.8*^-11*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(2520/(E^(r^2/4)*r^4) - (630*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^6 + (297*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (87*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 - (4*(-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2)))/r^2 + ((312*r)/E^(r^2/4) - (108*r^3)/E^(r^2/4) -
|
|
168*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
36*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
144*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 72*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
96*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) +
|
|
48*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) - 12*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
24*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*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 24*r^2*((-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) +
|
|
24*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) + 4*r^3*
|
|
(-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*(360/(E^(r^2/4)*r^4) -
|
|
(90*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^6 +
|
|
(39*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^4 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^3)*(-3 + Csc[theta]^2)) -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*
|
|
(360/(E^(r^2/4)*r^4) - (90*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^6 + (39*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^5 - (9*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^4 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^3)*(-1 +
|
|
3*Cos[2*theta]) + 1.5*^-6*r^2*(2520/(E^(r^2/4)*r^4) -
|
|
(630*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^6 +
|
|
(297*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(87*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^3 - (4*(-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2)))/r^2 + ((312*r)/E^(r^2/4) - (108*r^3)/E^(r^2/4) -
|
|
168*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
36*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
144*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 72*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
96*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) +
|
|
48*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) - 12*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
24*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*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 24*r^2*((-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) +
|
|
24*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) + 4*r^3*
|
|
(-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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(120/(E^(r^2/4)*r^3) - (30*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 + (15*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2) -
|
|
0.000018*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - (-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(
|
|
-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-2 + 1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(120/(E^(r^2/4)*r^3) -
|
|
(30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 + 3*Cos[2*theta])))*
|
|
Csc[theta]*(1.5*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Cos[theta] -
|
|
Cot[theta]*Csc[theta] + 3*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-3 + Csc[theta]^2))*(-2 + 9.*^-12*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + (13*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r) - 2*Csc[theta]^2 + 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-3 + Csc[theta]^2))*(-3*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
9.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(120/(E^(r^2/4)*r^3) -
|
|
(30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(3*r*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r) - Csc[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-3 + Csc[theta]^2))*(-2 + 9.*^-12*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) +
|
|
(6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/
|
|
r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2))/2)*
|
|
(-0.000018*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2 + 6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(1 + 1.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(
|
|
84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(
|
|
-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)))/
|
|
(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
|
6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 + 1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(
|
|
-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2))*
|
|
((3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2 +
|
|
(((21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
6.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(1 - 3*Sin[theta]^2 + 3.75*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
|
(2 + 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2 + (1 + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
|
(2 - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2) - 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(4 - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2) + 6.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^4)))/
|
|
((-2 + 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
6.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(1 - 3*Sin[theta]^2 + 3.75*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
|
(1 - 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4))*
|
|
(-3*r*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
9.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(120/(E^(r^2/4)*r^3) -
|
|
(30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(3*r*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 -
|
|
3.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 2.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(-1 + 3*Cos[2*theta])))*
|
|
(-9.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3) - 7.5*^-7*(84/(E^(r^2/4)*
|
|
r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/
|
|
r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r)*Sin[theta]^2))/2) +
|
|
(3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) + ((84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r)*(1.*^-6 - 3.*^-6*Cos[2*theta]))/4) +
|
|
3.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[2*theta])*
|
|
(-8 + 3.6*^-11*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - 6.*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(4 - 12*Cos[2*theta] - 3.*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 1.8*^-11*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 - 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r)*Sin[theta]^2) + 1.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) +
|
|
48*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
12*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
24*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/
|
|
4))) - 36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*
|
|
E^(r^2/4))) + 96*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
12*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 24*r^2*(1/(2*E^(r^2/4)) -
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
|
r^3/(8*E^(r^2/4))))/2) + 12*r^2*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
4*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/
|
|
4))*(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) - 4.5*^-12*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^6 -
|
|
(30*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 +
|
|
(15*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^3 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r^2)*(1 - 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) -
|
|
1.*^-6*((-6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(
|
|
3*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4) + 1.*^-6*(120/(E^(r^2/4)*
|
|
r^3) - (30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(
|
|
3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4) + 1.*^-6*(-24/(E^(r^2/4)*
|
|
r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^6 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(6*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^4 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^3) -
|
|
(3*((-105*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^6 +
|
|
(105*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(48*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^3 - (3*(-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/
|
|
4))) - 36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*
|
|
E^(r^2/4))) + 96*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
12*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 24*r^2*(1/(2*E^(r^2/4)) -
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
|
r^3/(8*E^(r^2/4))))/2) + 12*r^2*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
4*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
|
((312*r)/E^(r^2/4) - (108*r^3)/E^(r^2/4) - 168*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 36*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 144*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 72*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
96*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) +
|
|
48*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) - 12*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
24*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*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 24*r^2*((-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) + 24*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) + 4*r^3*(-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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 - 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4))*((3*(-420/(E^(r^2/4)*r^3) +
|
|
(105*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(48*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*(2 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 + 3*Cos[2*theta]) + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 9.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(120/(E^(r^2/4)*r^3) -
|
|
(30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*(
|
|
-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
|
((5.*^-7*(-9.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/
|
|
r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2))/2)*
|
|
(r*(2 - 6.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(
|
|
84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(2 - 3*Sin[theta]^2)))*
|
|
(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2 +
|
|
(((21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(
|
|
84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(2 - 3*Sin[theta]^2)))*
|
|
(-2 + 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
6.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(1 - 3*Sin[theta]^2 + 3.75*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
|
(2 + 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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] - ((84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(2 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(1 + 3*Cos[2*theta])))/4 + (-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(
|
|
84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)))/
|
|
(r*(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(120/(E^(r^2/4)*r^3) -
|
|
(30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2) -
|
|
0.000018*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - (-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(
|
|
-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-2 + 1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(120/(E^(r^2/4)*r^3) -
|
|
(30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 + 3*Cos[2*theta])))*
|
|
Sin[theta]*(((-6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
|
(1 - 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4))*Sin[2*theta])/
|
|
(r*(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 -
|
|
3.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 2.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(-1 + 3*Cos[2*theta])))*
|
|
(-3.*^-6*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(2 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(
|
|
-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 + (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (3*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(2 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))*
|
|
(-2 + 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(2 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
|
(-6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2))*Cos[theta]*Sin[theta]*
|
|
Sin[2*theta]*(-2 + 9.*^-12*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^6 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(6*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^4 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^3)*(2 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(120/(E^(r^2/4)*r^3) -
|
|
(30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
|
((-6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2 +
|
|
3.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^6 - (30*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^5 + (15*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^3 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r^2)*Cos[theta]^2 + 7.5*^-7*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*(-2 + 3*Sin[theta]^2) +
|
|
(((-105*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^6 +
|
|
(105*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(48*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^3 - (3*(-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/
|
|
4))) - 36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*
|
|
E^(r^2/4))) + 96*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
12*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 24*r^2*(1/(2*E^(r^2/4)) -
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
|
r^3/(8*E^(r^2/4))))/2) + 12*r^2*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
4*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
|
((312*r)/E^(r^2/4) - (108*r^3)/E^(r^2/4) - 168*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 36*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 144*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 72*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
96*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) +
|
|
48*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) - 12*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
24*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*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 24*r^2*((-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) + 24*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) + 4*r^3*(-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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
6.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(1 - 3*Sin[theta]^2 + 3.75*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*(2 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 + 3*Cos[2*theta]) - 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 9.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(120/(E^(r^2/4)*r^3) -
|
|
(30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2)*
|
|
(-6*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])) +
|
|
(3*((21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*(2 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*(
|
|
-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
|
(-1/4*(r*(2 - 6.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*(1 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2 +
|
|
(((21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) + 4*r^3*
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
6.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(1 - 3*Sin[theta]^2 + 3.75*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
2)))/r^3 + ((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) +
|
|
48*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
12*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
24*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
|
Cos[theta]^2*(-3.*^-6*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
|
(2 + 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) + 4*r^3*
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(120/(E^(r^2/4)*r^3) -
|
|
(30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2) -
|
|
0.000018*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - (-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(
|
|
-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-2 + 1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(120/(E^(r^2/4)*r^3) -
|
|
(30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 + 3*Cos[2*theta])))*
|
|
Sin[theta]*(-0.000018*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
|
6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 + 1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(
|
|
-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2))*Sin[2*theta])/
|
|
(r^2*(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(120/(E^(r^2/4)*r^3) -
|
|
(30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2) -
|
|
0.000018*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - (-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(
|
|
-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-2 + 1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(120/(E^(r^2/4)*r^3) -
|
|
(30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 + 3*Cos[2*theta])))*
|
|
Sin[theta]*(6.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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] - ((84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(2 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(1 + 3*Cos[2*theta])))/4 + (-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(
|
|
84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2))*Sin[2*theta])/
|
|
(r^2*(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
|
3.*^-6*r*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
9.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(120/(E^(r^2/4)*r^3) -
|
|
(30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(3*r*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(2 - 3*Sin[theta]^2)))*
|
|
(-2 + 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 -
|
|
3.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 2.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(-1 + 3*Cos[2*theta])))*
|
|
(-4*r*(120/(E^(r^2/4)*r^3) - (30*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 + (15*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2) + 0.000018*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2*(1 + 3*Cos[2*theta]) + (-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-2 + 1.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(120/(E^(r^2/4)*r^3) - (30*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 + (15*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 + 3*Cos[2*theta])))*
|
|
Sin[2*theta]^2 + 2*Cos[2*theta]*(4*r*(120/(E^(r^2/4)*r^3) -
|
|
(30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2) - 0.000018*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - (-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-2 + 1.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(120/(E^(r^2/4)*r^3) - (30*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 + (15*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 + 3*Cos[2*theta])))*
|
|
(-2 + 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2 + 3*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
|
-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(120/(E^(r^2/4)*r^3) - (30*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 + (15*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (5*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)))*Sin[2*theta]^2*
|
|
(-2 + 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(2 - 3*Sin[theta]^2)))*
|
|
(3.*^-6*r*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) - 3.*^-6*r*
|
|
(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2) + (2 - 6.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(360/(E^(r^2/4)*r^4) - (90*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^6 + (39*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^5 - (9*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^4 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^3) +
|
|
(9*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4 + (3*r*(2520/(E^(r^2/4)*r^4) -
|
|
(630*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^6 +
|
|
(297*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(87*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^3 - (4*(-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2)))/r^2 + ((312*r)/E^(r^2/4) - (108*r^3)/E^(r^2/4) -
|
|
168*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
36*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
144*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 72*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
96*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) +
|
|
48*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) - 12*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
24*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*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 24*r^2*((-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) + 24*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) + 4*r^3*
|
|
(-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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-2 + 3*Sin[theta]^2)) + 1.3499999999999999*^-11*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(120/(E^(r^2/4)*r^3) - (30*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 + (15*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^4 - (5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
|
Sin[2*theta]^2) - r*(r*(2 - 6.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) - 3.*^-6*r*
|
|
(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 + 7.5*^-7*r*
|
|
(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
1.*^-6*(3*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(-420/(E^(r^2/4)*
|
|
r^3) + (105*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/
|
|
r^5 - (48*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4)*(1 + 3.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(2 - 3*Sin[theta]^2)) + 4.5*^-12*(-24/(E^(r^2/4)*
|
|
r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(120/(E^(r^2/4)*r^3) -
|
|
(30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2))/
|
|
(2*r^3*(-9.*^-12*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) + 7.5*^-7*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) +
|
|
(6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 + (6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*
|
|
r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
2)))/r^3 + ((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) +
|
|
48*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
12*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
24*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r^2)*
|
|
Cos[theta]*Sin[theta]*(-9.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 + (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
|
Sin[theta]^2 - (3*((3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/
|
|
r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2))/2))/
|
|
(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) + 4*r^3*
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(3*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
|
(1 - 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(21*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4)))/
|
|
(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) + 4*r^3*
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
|
6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 + 1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(
|
|
-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2))*
|
|
(r*(2 - 6.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3) - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(
|
|
84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)*(-1 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) +
|
|
4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/
|
|
r^3 + (24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
|
7.5*^-7*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
|
(1 + 3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(2 - 3*Sin[theta]^2)))*
|
|
(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(120/(E^(r^2/4)*r^3) - (30*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 + (15*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2) -
|
|
0.000018*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2*(1 + 3*Cos[2*theta]) - (-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(
|
|
-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(-2 + 1.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(120/(E^(r^2/4)*r^3) -
|
|
(30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(1 + 3*Cos[2*theta])))*
|
|
(1.8*^-11*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2 + (1 + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
|
(2 - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2) - 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(4 - 3.*^-6*r*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2) + 6.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^4))*
|
|
Sin[2*theta])/(r*(-2 + 9.*^-12*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
6.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(1 - 3*Sin[theta]^2 + 3.75*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2 + 3*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) + 3.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(120/(E^(r^2/4)*r^3) - (30*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 + (15*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (5*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2) + 1.5*^-6*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
(120/(E^(r^2/4)*r^3) - (30*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 + (15*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (5*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*(-2 + 6.*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/r^3) - 1.5*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r)*Sin[theta]^2 - 7.5*^-7*r*(-420/(E^(r^2/4)*r^3) +
|
|
(105*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(48*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2) + 1.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2)/4 + r*(3*(360/(E^(r^2/4)*r^4) -
|
|
(90*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^6 +
|
|
(39*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(9*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
|
r^4 + ((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) +
|
|
48*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
12*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
24*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r^3) - (3*(2520/(E^(r^2/4)*r^4) - (630*((12*r^2)/
|
|
E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^6 +
|
|
(297*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
|
(87*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) +
|
|
48*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
12*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
24*r^2*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^3 - (4*(-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) -
|
|
(18*r^4)/E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 36*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 96*r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
|
12*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2) + 24*r^2*(1/(2*E^(r^2/4)) -
|
|
r^2/(4*E^(r^2/4)) + (1/(2*E^(r^2/4)) - r^2/
|
|
(4*E^(r^2/4)))/2 - (r*((3*r)/(4*E^(r^2/4)) -
|
|
r^3/(8*E^(r^2/4))))/2) + 12*r^2*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
|
4*r^3*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/2)))/r^2 +
|
|
((312*r)/E^(r^2/4) - (108*r^3)/E^(r^2/4) - 168*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 36*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 144*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 72*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
96*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) +
|
|
48*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/2) - 12*r^3*
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/2) + 24*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*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/2) + 24*r^2*((-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) + 24*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) + 4*r^3*(-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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
|
(1 + 3*Cos[2*theta]) - 3.*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 + 1.5*^-6*
|
|
(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(4 - 12*Cos[2*theta] - 3.*^-6*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/
|
|
E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
|
((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
r)*(1 + 3*Cos[2*theta])*Sin[theta]^2) + 9.*^-12*
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2 + 6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(1 + 1.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*
|
|
(84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
7.5*^-7*r*(-420/(E^(r^2/4)*r^3) + (105*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (48*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (-96/E^(r^2/4) +
|
|
(156*r^2)/E^(r^2/4) - (18*r^4)/E^(r^2/4) +
|
|
48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 36*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 96*r*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*Sin[theta]^2))*((3*(-420/(E^(r^2/4)*r^3) +
|
|
(105*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(48*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(13*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*((-96*r)/E^(r^2/4) + (36*r^3)/E^(r^2/4) + 48*r*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 12*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 24*r^2*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) + 4*r^3*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
|
r^2 + (-96/E^(r^2/4) + (156*r^2)/E^(r^2/4) - (18*r^4)/
|
|
E^(r^2/4) + 48*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
|
36*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
96*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2) - 12*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
24*r^2*(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)) +
|
|
(1/(2*E^(r^2/4)) - r^2/(4*E^(r^2/4)))/2 -
|
|
(r*((3*r)/(4*E^(r^2/4)) - r^3/(8*E^(r^2/4))))/2) +
|
|
12*r^2*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2) + 4*r^3*(-1/4*r/E^(r^2/4) +
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
|
2))/r)*(2 + 3.*^-6*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-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*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(12/(E^(r^2/4)*r^2) -
|
|
(3*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
|
(1 + 3*Cos[2*theta]) + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 9.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*(120/(E^(r^2/4)*r^3) -
|
|
(30*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 +
|
|
(15*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
|
(5*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2)))/
|
|
(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^
|
|
3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-60/(E^(r^2/4)*r^3) +
|
|
(15*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^5 -
|
|
(6*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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 +
|
|
((84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1.*^-6 - 3.*^-6*
|
|
Cos[2*theta]))/4) + 6.*^-6*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
|
120/(E^(r^2/4)*r^3) - (30*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 + (15*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (5*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[2*theta] -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(3*r*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) + 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)^2 + (84/(E^(r^2/4)*r^2) - (21*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + (9*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(24/E^(r^2/4) -
|
|
(48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 -
|
|
3.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 2.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(-1 + 3*Cos[2*theta])))*
|
|
(-3*r*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(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*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
|
9.*^-6*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(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*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) -
|
|
(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 4*r^3*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
|
120/(E^(r^2/4)*r^3) - (30*((12*r^2)/E^(r^2/4) - (2*r^4)/
|
|
E^(r^2/4)))/r^5 + (15*((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4)))))/r^4 - (5*(24/E^(r^2/4) - (48*r^2)/
|
|
E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(3*r*(-60/(E^(r^2/4)*r^3) + (15*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^5 - (6*((24*r)/E^(r^2/4) -
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(12*r^3)/E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4)))))/r^4 + (24/E^(r^2/4) - (48*r^2)/
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E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
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(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta]) -
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9*(-24/(E^(r^2/4)*r^2) + (6*((12*r^2)/E^(r^2/4) - (2*r^4)/
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E^(r^2/4)))/r^4 - (3*((24*r)/E^(r^2/4) - (12*r^3)/
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E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4)))))/r^3 + (24/E^(r^2/4) - (48*r^2)/
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E^(r^2/4) + (6*r^4)/E^(r^2/4) + 12*r^2*
|
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 4*r^3*
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|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/r^2)*Sin[2*theta]^2))))/
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(r*(2 - 9.*^-12*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
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(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
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E^(r^2/4) + 4*r^3*(-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*(84/(E^(r^2/4)*r^2) -
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(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
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(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
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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*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
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|
r^2/(4*E^(r^2/4))) + 24*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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|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
|
3.*^-6*(12/(E^(r^2/4)*r^2) - (3*((12*r^2)/E^(r^2/4) -
|
|
(2*r^4)/E^(r^2/4)))/r^4 + ((24*r)/E^(r^2/4) - (12*r^3)/
|
|
E^(r^2/4) + 4*r^3*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
|
r^3)*(-1 + 3*Cos[2*theta] + 7.5*^-7*(84/(E^(r^2/4)*r^2) -
|
|
(21*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 +
|
|
(9*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
|
(2*(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))))/2)))/r^2 + ((-96*r)/E^(r^2/4) +
|
|
(36*r^3)/E^(r^2/4) + 48*r*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) - 12*r^3*(-1/2*1/E^(r^2/4) +
|
|
r^2/(4*E^(r^2/4))) + 24*r^2*(r/(2*E^(r^2/4)) -
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
|
4*r^3*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1 + 3*Cos[2*theta])*
|
|
Sin[theta]^2) - 4.5*^-12*(-24/(E^(r^2/4)*r^2) +
|
|
(6*((12*r^2)/E^(r^2/4) - (2*r^4)/E^(r^2/4)))/r^4 -
|
|
(3*((24*r)/E^(r^2/4) - (12*r^3)/E^(r^2/4) + 4*r^3*
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
|
(24/E^(r^2/4) - (48*r^2)/E^(r^2/4) + (6*r^4)/E^(r^2/4) +
|
|
12*r^2*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
|
4*r^3*(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
|