11770 lines
790 KiB
Plaintext
11770 lines
790 KiB
Plaintext
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(((-I)*Csc[theta]*(((-1/2*I)*r*Sin[theta]*(1 - 7.500000000000001*^-9*
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(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
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r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-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*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 16*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)))/r^2 +
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((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
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2) + 16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
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3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
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(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
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((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
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r^3)*(-1 + 3*Sin[theta]^2))*
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((-1.0000000000000001*^-16*
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((3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
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(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
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(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) + 16*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)))/r^3 -
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(2*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
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(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) - 16*r*(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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48*(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) + 16*r*(-1/4*r/E^(r^2/4) +
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
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(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
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(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
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2))/r)*Sin[theta]^2)/4 + 3*((3*(16/E^(r^2/4) -
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(8*r^2)/E^(r^2/4)))/r^5 - (3*((-16*r)/E^(r^2/4) +
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16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
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(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 16*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))/r^3)*
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(1 - 3*Sin[theta]^2))^2)/(-2 + 3.0000000000000004*^-8*
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(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
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4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta]) +
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1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
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(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
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(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
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(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) + 16*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)))/r^2 +
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((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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16*r*(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.*^-8*(-5.*^-9*(3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
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(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
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E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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16*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))/r^3)*(-1 + 3*Cos[2*theta]) +
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(3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
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(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
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(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) + 16*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)))/r^3 -
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(2*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
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(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) - 16*r*(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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48*(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) + 16*r*(-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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
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(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
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((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta]) +
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1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
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(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
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(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
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(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) + 16*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)))/r^2 +
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((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
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((3*((21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4)))))/r^5 - (21*(-16/E^(r^2/4) +
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(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) + 16*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)))/r^4 +
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(9*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
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16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/2)))/r^3 - (2*(8/E^(r^2/4) -
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(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))) - 16*r*(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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48*(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) + 16*r*(-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 + ((-8*r)/E^(r^2/4) + 8*r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))) - 48*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
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16*r*(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) + 64*(-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) + 16*r*(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
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(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
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(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
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(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
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(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
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(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
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r^2/(4*E^(r^2/4))))/2))/2))/2))/2))/r)*
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Sin[theta]^2)/4 + 3*((3*((-16*r)/E^(r^2/4) + 16*r*
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(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
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(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
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16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
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(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2)))/r^4 + ((16*r)/E^(r^2/4) -
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16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
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32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
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(4*E^(r^2/4))))/2) + 16*r*(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)*(1 - 3*Sin[theta]^2))))/
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(-2 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
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(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta]) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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 - 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2) + 16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(-1 + 3*Sin[theta]^2))*
|
||
|
|
((5.*^-9*(7.500000000000001*^-9*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*((3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r))/4 + 3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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)) +
|
||
|
|
3.0000000000000004*^-8*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*(-3 + Csc[theta]^2)*
|
||
|
|
((3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r))/4 + 3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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)) -
|
||
|
|
(7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
((3*((-105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^6 +
|
||
|
|
(105*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (48*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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*(8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + ((-8*r)/E^(r^2/4) + 8*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 48*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 64*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2) + 16*r*(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/2))/r))/4 +
|
||
|
|
3*((-15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^6 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (6*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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))))/
|
||
|
|
(7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))^2 -
|
||
|
|
(5.*^-9*(-9.000000000000001*^-8*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.500000000000001*^-9*r*
|
||
|
|
(-1680/(E^(r^2/4)*r^5) + (105*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 +
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-3 + Csc[theta]^2))*((3*((21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (21*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4 +
|
||
|
|
3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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*(7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(-2 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta]) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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.*^-9*(-9.000000000000001*^-8*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.500000000000001*^-9*r*
|
||
|
|
(-1680/(E^(r^2/4)*r^5) + (105*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 +
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-3 + Csc[theta]^2))*(-9.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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*(7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(2 - 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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)) +
|
||
|
|
(1.5000000000000002*^-8*Cos[theta]*(-3.0000000000000004*^-8*
|
||
|
|
((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))*
|
||
|
|
(1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-6.000000000000001*^-8*Cos[
|
||
|
|
theta] + 1.*^-8*Cot[theta]*Csc[theta])))/
|
||
|
|
(r*(7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(-2 + 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*(-3.0000000000000004*^-8*r*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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]*
|
||
|
|
((1.5000000000000002*^-8*Cos[theta]*Sin[theta]*
|
||
|
|
(((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 - 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 - 6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
||
|
|
1.35*^-15*r*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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.*^-16*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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 - 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)))*
|
||
|
|
(2 - 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(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*^-16*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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)) +
|
||
|
|
(1.5000000000000002*^-8*Cos[theta]*(-3.0000000000000004*^-8*
|
||
|
|
((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-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*^-15*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
(1 + 7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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 - 3.0000000000000004*^-8*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 + 7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*
|
||
|
|
r^5) + (105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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) - 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(4 - 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
6.000000000000001*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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] +
|
||
|
|
3.0000000000000004*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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) + 6.000000000000001*^-8*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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] -
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(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*^-16*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(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*^-16*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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)) +
|
||
|
|
(7.500000000000001*^-9*Sin[2*theta]*
|
||
|
|
(-8.*^-8*(9.*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 -
|
||
|
|
3.0000000000000004*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 2.5*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(-1 + 3*Cos[2*theta])))*(-9.*^-8*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[theta]^2*Sin[theta]^2 - (3*((3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^2 + ((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2))/2) +
|
||
|
|
(3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 - 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
((336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1.*^-8 - 3.0000000000000004*^-8*Cos[2*theta]))/4) +
|
||
|
|
3.0000000000000004*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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*^-15*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) -
|
||
|
|
6.000000000000001*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(4 - 12*Cos[2*theta] -
|
||
|
|
3.0000000000000004*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-15*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(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*^-16*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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 -
|
||
|
|
(3.0000000000000004*^-8*Cos[theta]*Sin[theta]*
|
||
|
|
(((4.5000000000000006*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*((21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (21*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 -
|
||
|
|
1.2000000000000002*^-7*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 2.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^2 + ((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2 - 7.500000000000001*^-9*r*
|
||
|
|
(-1680/(E^(r^2/4)*r^5) + (105*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) - (3*r^2)/
|
||
|
|
(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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.*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/2 +
|
||
|
|
r*(3*((-15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^6 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (6*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^4 + ((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/r^3) -
|
||
|
|
(3*((-105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^6 +
|
||
|
|
(105*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (48*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/
|
||
|
|
4) + r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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*(8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + ((-8*r)/E^(r^2/4) + 8*r*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 48*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
64*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2) + 16*r*(-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*^-15*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) -
|
||
|
|
3.0000000000000004*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
1.5000000000000002*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(4 - 12*Cos[2*theta] -
|
||
|
|
3.0000000000000004*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/
|
||
|
|
r^2 + ((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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.*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(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.*^-8*(-1.8*^-7*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)^2 + 6*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 1.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2) +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-2 +
|
||
|
|
3.0000000000000004*^-8*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2))*((3*((21*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 - (21*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]))*
|
||
|
|
Sin[theta]^2)/4 + 3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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] -
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]) +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(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*^-16*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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 - 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) + 7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2)))/r^2 + ((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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.*^-9*(-9.*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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 - 6.000000000000001*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) - 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
||
|
|
1.35*^-15*r*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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.*^-16*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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 - 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)))*
|
||
|
|
(2 - 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(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*^-16*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-9*((3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-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*(3.0000000000000004*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[theta]^2 + (((21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (21*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)))/4))*
|
||
|
|
(r*(2 - 6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
||
|
|
1.35*^-15*r*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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.*^-16*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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 - 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)))*
|
||
|
|
(-2 + 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(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*^-16*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*^-16*Cos[theta]^2*(-3.0000000000000004*^-8*
|
||
|
|
((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))*
|
||
|
|
Sin[theta]^2*(-1.8*^-7*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)^2 + 6*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 + 1.*^-8*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2) + (-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(-2 + 3.0000000000000004*^-8*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*
|
||
|
|
r^5) + (105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(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*^-16*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(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*^-16*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*^-16*Cos[theta]^2*(-3.0000000000000004*^-8*
|
||
|
|
((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))*
|
||
|
|
Sin[theta]^2*(6.000000000000001*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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] -
|
||
|
|
((336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))/4 +
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(2 - 6.000000000000001*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) - 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(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*^-16*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(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*^-16*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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)) +
|
||
|
|
(1.5000000000000002*^-8*(3.0000000000000004*^-8*
|
||
|
|
(9.*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 -
|
||
|
|
3.0000000000000004*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 2.5*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(-1 + 3*Cos[2*theta])))*(-3.0000000000000004*^-8*
|
||
|
|
((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-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*(-3.0000000000000004*^-8*
|
||
|
|
((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))*
|
||
|
|
(-2 + 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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) -
|
||
|
|
(-3.0000000000000004*^-8*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-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.*^-16*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) -
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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) +
|
||
|
|
6.000000000000001*^-8*(3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*((-6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) -
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) + 1.5000000000000002*^-8*(336/(E^(r^2/4)*
|
||
|
|
r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-9*r*(9.*^-16*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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 - 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)))*
|
||
|
|
(6*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 -
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2) + 2*(-6*((3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
3*r*((-15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^6 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (6*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^3) +
|
||
|
|
(3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/2 + (3*r*((-105*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^6 + (105*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(48*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(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*(8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) - (3*r^2)/
|
||
|
|
(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
((-8*r)/E^(r^2/4) + 8*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 48*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 64*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2) + 16*r*(-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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
||
|
|
2.7*^-7*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 +
|
||
|
|
2.7*^-7*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
||
|
|
(-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 - 6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
||
|
|
1.35*^-15*r*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*(
|
||
|
|
-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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)*
|
||
|
|
(3.0000000000000004*^-8*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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.*^-8*(3*((3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)) +
|
||
|
|
4.5*^-16*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*(
|
||
|
|
(-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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.*^-16*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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 - 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-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) + (-3.0000000000000004*^-8*r*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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]*
|
||
|
|
((3.0000000000000004*^-16*r*Cos[theta]*Sin[theta]*
|
||
|
|
(-9.*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2))/2)*(((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
5 + (6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 - 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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.*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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 +
|
||
|
|
(3.0000000000000004*^-16*r*Cos[theta]*Sin[theta]*
|
||
|
|
(((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 - 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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.*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4))*
|
||
|
|
((3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-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*(3.0000000000000004*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[theta]^2 + (((21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (21*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)))/4)))/
|
||
|
|
((2 - 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*(336/(E^(r^2/4)*
|
||
|
|
r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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)) -
|
||
|
|
(3.0000000000000004*^-8*r*Cos[theta]*Sin[theta]*
|
||
|
|
(-1/2*((((-6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 + (6*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) -
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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.*^-8*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^3) -
|
||
|
|
(3*((21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (21*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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*(8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + ((-8*r)/E^(r^2/4) + 8*r*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 48*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
64*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2) + 16*r*
|
||
|
|
(-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*^-15*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) -
|
||
|
|
3.0000000000000004*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
1.5000000000000002*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(4 - 12*Cos[2*theta] -
|
||
|
|
3.0000000000000004*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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.*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-8*(((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(3*((3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4))*
|
||
|
|
((3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*
|
||
|
|
r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]))*
|
||
|
|
Sin[theta]^2)/4 + 3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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] -
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]) +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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 - 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) + 7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2) + 16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
((-1.0000000000000001*^-16*
|
||
|
|
((3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-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*(3.0000000000000004*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[theta]^2 + (((21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (21*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*(336/(E^(r^2/4)*
|
||
|
|
r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*^-16*Cos[theta]^2*(-3.0000000000000004*^-8*
|
||
|
|
((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))*Sin[theta]^2*
|
||
|
|
(((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 - 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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.*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-8*(((9.*^-8*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) + 3*((3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-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*(3.0000000000000004*^-8*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 +
|
||
|
|
(6*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(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 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
7.500000000000001*^-9*((3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*((21*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 - (21*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/r)*(-2 +
|
||
|
|
3*Sin[theta]^2) + (((21*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(21*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(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*(8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
((-8*r)/E^(r^2/4) + 8*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 48*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 64*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2) + 16*r*(-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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)))/
|
||
|
|
4))*(-2 + 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
Sin[theta]^2 - 6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 - 3*Sin[theta]^2 +
|
||
|
|
3.7500000000000005*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*^-9*(6*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])) -
|
||
|
|
(3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*
|
||
|
|
r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-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.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Sin[2*theta]^2)*((-3*((21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (21*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]))*
|
||
|
|
Sin[theta]^2)/4 + 3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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] +
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]) -
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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 - 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2) + 16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(-1 + 3*Sin[theta]^2))*
|
||
|
|
((-5.*^-9*(-9.000000000000001*^-8*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.500000000000001*^-9*r*
|
||
|
|
(-1680/(E^(r^2/4)*r^5) + (105*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 +
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-3 + Csc[theta]^2))*((3*((21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (21*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4 +
|
||
|
|
3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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*(7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(-2 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta]) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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.*^-8*(-((3.0000000000000004*^-8*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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]) +
|
||
|
|
1.5000000000000002*^-8*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)*((3*((21*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 - (21*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*Sin[theta]^2)/4 + 3*
|
||
|
|
((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta]) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2)*
|
||
|
|
((3*((-105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^6 +
|
||
|
|
(105*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (48*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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*(8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + ((-8*r)/E^(r^2/4) + 8*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 48*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 64*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2) + 16*r*(-1/8*1/E^(r^2/4) + r^2/(16*E^(r^2/4)) +
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))/2 +
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/4 + 2*(-3/(4*E^(r^2/4)) +
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) + (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) -
|
||
|
|
(r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2))/2))/r)*
|
||
|
|
Sin[theta]^2)/4 + 3*((-15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^6 + (15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (6*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta]) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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.*^-9*(-9.000000000000001*^-8*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.500000000000001*^-9*r*
|
||
|
|
(-1680/(E^(r^2/4)*r^5) + (105*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 +
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-3 + Csc[theta]^2))*(-9.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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*(7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(2 - 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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)) +
|
||
|
|
(1.5000000000000002*^-8*Cos[theta]*(-3.0000000000000004*^-8*
|
||
|
|
((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))*
|
||
|
|
(1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-6.000000000000001*^-8*Cos[
|
||
|
|
theta] + 1.*^-8*Cot[theta]*Csc[theta])))/
|
||
|
|
(r*(7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(-2 + 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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 - 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2) + 16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3)*(-1 + 3*Sin[theta]^2))*
|
||
|
|
(-1/4*(-9.000000000000001*^-8*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.500000000000001*^-9*
|
||
|
|
r*(-1680/(E^(r^2/4)*r^5) + (105*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) - (3*r^2)/
|
||
|
|
(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 +
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-3 + Csc[theta]^2))^2/(r^2*(7.500000000000001*^-9*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))^2) +
|
||
|
|
(7.500000000000001*^-17*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
((3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2)/4 +
|
||
|
|
3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta]) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) + 16*r*
|
||
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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*^-16*(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)^2 - 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) + 16*r*
|
||
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(7.500000000000001*^-9*r^2*
|
||
|
|
(10080/(E^(r^2/4)*r^6) - (630*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^6 + (297*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(87*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(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*(8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) - (3*r^2)/
|
||
|
|
(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
((-8*r)/E^(r^2/4) + 8*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 48*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 64*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2) + 16*r*(-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 - 6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta])*
|
||
|
|
Csc[theta]^2 + 3.0000000000000004*^-8*r^2*(1440/(E^(r^2/4)*
|
||
|
|
r^6) - (90*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^6 +
|
||
|
|
(39*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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*^-16*r^2*(-1680/(E^(r^2/4)*r^5) + (105*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 - (48*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) - (3*r^2)/
|
||
|
|
(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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.*^-16*r^2*(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*
|
||
|
|
(-1680/(E^(r^2/4)*r^5) + (105*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) - (3*r^2)/
|
||
|
|
(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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*^-15*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-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.*^-16*r^2*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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*(7.500000000000001*^-9*r^2*
|
||
|
|
(10080/(E^(r^2/4)*r^6) - (630*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^6 + (297*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(87*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(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*(8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
((-8*r)/E^(r^2/4) + 8*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 48*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 64*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2) + 16*r*(-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 + 3.0000000000000004*^-8*r^2*
|
||
|
|
(1440/(E^(r^2/4)*r^6) - (90*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^6 + (39*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(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)) - 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-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 + 3.0000000000000004*^-8*r^2*
|
||
|
|
(1440/(E^(r^2/4)*r^6) - (90*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^6 + (39*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(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]) + 1.5000000000000002*^-8*r^2*
|
||
|
|
(10080/(E^(r^2/4)*r^6) - (630*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^6 + (297*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(87*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(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*(8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
((-8*r)/E^(r^2/4) + 8*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 48*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 64*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2) + 16*r*(-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*(7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-3 + Csc[theta]^2))^2) + (7.500000000000001*^-9*
|
||
|
|
(4*r*(480/(E^(r^2/4)*r^5) - (30*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 + (15*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2) -
|
||
|
|
1.8*^-7*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - (-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 1.*^-8*(-96/(E^(r^2/4)*
|
||
|
|
r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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.*^-8*r*(480/(E^(r^2/4)*r^5) - (30*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 + (15*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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]*
|
||
|
|
(1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-6.000000000000001*^-8*Cos[
|
||
|
|
theta] + 1.*^-8*Cot[theta]*Csc[theta]))*Sin[2*theta])/
|
||
|
|
(r^2*(7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(-2 + 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*^-9*(-9.000000000000001*^-8*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r) + 7.500000000000001*^-9*r*
|
||
|
|
(-1680/(E^(r^2/4)*r^5) + (105*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 +
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-3 + Csc[theta]^2))*(-3*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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.*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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.*^-8*r*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(480/(E^(r^2/4)*r^5) -
|
||
|
|
(30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(3*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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*(7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-3 + Csc[theta]^2))*
|
||
|
|
(-2 + 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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) -
|
||
|
|
((-3.0000000000000004*^-8*r*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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]*
|
||
|
|
((-3.0000000000000004*^-16*Cos[theta]*Sin[theta]*
|
||
|
|
(-9.*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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)*(-1.8*^-7*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)^2 + 6*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 + 1.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2) + 7.500000000000001*^-9*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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 +
|
||
|
|
(3.0000000000000004*^-16*Cos[theta]*Sin[theta]*
|
||
|
|
(-1.8*^-7*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
6*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 + 1.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2) + 7.500000000000001*^-9*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2))/r)*Sin[theta]^2))*
|
||
|
|
((3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-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*(3.0000000000000004*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[theta]^2 + (((21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (21*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)))/4)))/
|
||
|
|
((2 - 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*(336/(E^(r^2/4)*
|
||
|
|
r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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)) +
|
||
|
|
(1.5000000000000002*^-8*Cos[theta]*(-3.0000000000000004*^-8*
|
||
|
|
((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-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*^-15*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
(1 + 7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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 - 3.0000000000000004*^-8*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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) - 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(4 - 3.0000000000000004*^-8*r*(
|
||
|
|
-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
6.000000000000001*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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] +
|
||
|
|
3.0000000000000004*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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) + 6.000000000000001*^-8*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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] -
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*(336/(E^(r^2/4)*
|
||
|
|
r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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)) +
|
||
|
|
(1.5000000000000002*^-16*Cos[theta]*Sin[theta]*
|
||
|
|
(((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 - 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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.*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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*(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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 + 7.500000000000001*^-9*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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.*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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.*^-8*r*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(480/(E^(r^2/4)*r^5) -
|
||
|
|
(30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(3*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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)) +
|
||
|
|
(7.500000000000001*^-9*Sin[2*theta]*
|
||
|
|
(-8.*^-8*(9.*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 -
|
||
|
|
3.0000000000000004*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 2.5*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(-1 + 3*Cos[2*theta])))*(-9.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[theta]^2*Sin[theta]^2 -
|
||
|
|
(3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2))/2) +
|
||
|
|
(3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 - 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) + ((336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*(1.*^-8 -
|
||
|
|
3.0000000000000004*^-8*Cos[2*theta]))/4) +
|
||
|
|
3.0000000000000004*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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*^-15*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) -
|
||
|
|
6.000000000000001*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(4 - 12*Cos[2*theta] -
|
||
|
|
3.0000000000000004*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-15*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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 -
|
||
|
|
(3.0000000000000004*^-8*Cos[theta]*Sin[theta]*
|
||
|
|
(-((((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)^2*Sin[2*theta]^2)) -
|
||
|
|
r*(((30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^6 -
|
||
|
|
(30*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 + (15*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 - 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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.*^-8*((-6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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*(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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*(-1680/(E^(r^2/4)*r^5) + (105*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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.*^-8*(480/(E^(r^2/4)*r^5) - (30*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (15*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-8*(-96/(E^(r^2/4)*
|
||
|
|
r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(3*((-15*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^6 + (15*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(6*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^3) - (3*((-105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^6 +
|
||
|
|
(105*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (48*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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*(8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + ((-8*r)/E^(r^2/4) + 8*r*(-1/2*
|
||
|
|
1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 48*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) - 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
64*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2))/2) + 16*r*
|
||
|
|
(-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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) + 1.5000000000000002*^-8*(336/(E^(r^2/4)*
|
||
|
|
r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-8*r*(((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(3*((3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*
|
||
|
|
r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-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*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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] -
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]) +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(480/(E^(r^2/4)*r^5) -
|
||
|
|
(30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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 - 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) + 7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2) + 16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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.*^-9*(-9.*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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 - 6.000000000000001*^-8*(
|
||
|
|
48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) - 3.0000000000000004*^-8*r*(
|
||
|
|
-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*(
|
||
|
|
48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
||
|
|
1.35*^-15*r*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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.*^-16*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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 - 3.0000000000000004*^-8*(
|
||
|
|
48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)))*
|
||
|
|
(2 - 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-9*((3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-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*(3.0000000000000004*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[theta]^2 + (((21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (21*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)))/4))*
|
||
|
|
(r*(2 - 6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 3.0000000000000004*^-8*r*(
|
||
|
|
-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*(
|
||
|
|
48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
||
|
|
1.35*^-15*r*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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.*^-16*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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 - 3.0000000000000004*^-8*(
|
||
|
|
48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)))*
|
||
|
|
(-2 + 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*(336/(E^(r^2/4)*
|
||
|
|
r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*^-16*Cos[theta]^2*(-3.0000000000000004*^-8*
|
||
|
|
((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))*Sin[theta]^2*
|
||
|
|
(6.000000000000001*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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] - ((336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(2 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))/4 +
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(2 - 6.000000000000001*^-8*(
|
||
|
|
48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) - 3.0000000000000004*^-8*r*(
|
||
|
|
-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*^-16*Cos[theta]*(4*r*(480/(E^(r^2/4)*r^5) -
|
||
|
|
(30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2) -
|
||
|
|
1.8*^-7*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - (-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 1.*^-8*(-96/(E^(r^2/4)*
|
||
|
|
r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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.*^-8*r*(480/(E^(r^2/4)*r^5) - (30*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 + (15*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*(1 + 3*Cos[2*theta])))*Sin[theta]*
|
||
|
|
(((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 - 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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.*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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)) +
|
||
|
|
(1.5000000000000002*^-8*(3.0000000000000004*^-8*
|
||
|
|
(9.*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 -
|
||
|
|
3.0000000000000004*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 2.5*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(-1 + 3*Cos[2*theta])))*(-3.0000000000000004*^-8*(
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-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*(-3.0000000000000004*^-8*(
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))*
|
||
|
|
(-2 + 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) - 1.5000000000000002*^-8*(336/(E^(r^2/4)*
|
||
|
|
r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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) -
|
||
|
|
(-3.0000000000000004*^-8*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-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.*^-16*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) -
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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) +
|
||
|
|
6.000000000000001*^-8*(3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*((-6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) - 1.5000000000000002*^-8*(336/(E^(r^2/4)*
|
||
|
|
r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(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*^-16*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*^-9*(2*(9.000000000000001*^-8*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3)*((3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3)*(1 +
|
||
|
|
3*Cos[2*theta]) + 3*((-15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^6 + (15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^5 - (6*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^4 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-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*(3.0000000000000004*^-8*(480/(E^(r^2/4)*r^5) -
|
||
|
|
(30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2)*((30*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^6 - (30*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 +
|
||
|
|
(15*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(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 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
7.500000000000001*^-9*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*((21*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 - (21*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/2))/r)*(-2 +
|
||
|
|
3*Sin[theta]^2) + (((-105*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^6 + (105*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(48*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(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*(8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) - (3*r^2)/
|
||
|
|
(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
((-8*r)/E^(r^2/4) + 8*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 48*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 64*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2) + 16*r*(-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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)))/4))*
|
||
|
|
(-2 + 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) - 1.5000000000000002*^-8*(336/(E^(r^2/4)*
|
||
|
|
r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 - 3*Sin[theta]^2 +
|
||
|
|
3.7500000000000005*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-8*((-3*(-1680/(E^(r^2/4)*r^5) + (105*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 - (48*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-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*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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] +
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]) -
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(480/(E^(r^2/4)*r^5) -
|
||
|
|
(30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Sin[2*theta]^2)*
|
||
|
|
(-6*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])) +
|
||
|
|
(3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*
|
||
|
|
r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-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.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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 - 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
r^3) + 7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2) + 16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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 - 6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
||
|
|
1.35*^-15*r*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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.*^-16*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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 - 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)))^2) +
|
||
|
|
(7.500000000000001*^-17*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*(1 + 3*Cos[2*theta])*
|
||
|
|
((3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-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*(3.0000000000000004*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*((-6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(3*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2)*Cos[theta]^2 + (((21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (21*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)))/4)))/
|
||
|
|
(-2 + 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) + 16*r*
|
||
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 - 3*Sin[theta]^2 +
|
||
|
|
3.7500000000000005*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*^-16*((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2)))/r^3 + ((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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*
|
||
|
|
(-3.0000000000000004*^-8*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
5 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(1 + 3*Cos[2*theta]) +
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-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.*^-16*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) -
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) + 16*r*
|
||
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*^-16*Cos[theta]*(4*r*(480/(E^(r^2/4)*r^5) -
|
||
|
|
(30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2) -
|
||
|
|
1.8*^-7*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - (-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 1.*^-8*(-96/(E^(r^2/4)*
|
||
|
|
r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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.*^-8*r*(480/(E^(r^2/4)*r^5) - (30*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 + (15*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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]*
|
||
|
|
(-1.8*^-7*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
6*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 + 1.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2) + 7.500000000000001*^-9*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*^-16*Cos[theta]*(4*r*(480/(E^(r^2/4)*r^5) -
|
||
|
|
(30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2) -
|
||
|
|
1.8*^-7*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - (-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 1.*^-8*(-96/(E^(r^2/4)*
|
||
|
|
r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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.*^-8*r*(480/(E^(r^2/4)*r^5) - (30*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 + (15*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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]*
|
||
|
|
(6.000000000000001*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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] - ((336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*
|
||
|
|
(2 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta])))/4 +
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(2 - 6.000000000000001*^-8*(
|
||
|
|
48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) - 3.0000000000000004*^-8*r*(
|
||
|
|
-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*^-9*(r*(2 - 6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 3.0000000000000004*^-8*r*(
|
||
|
|
-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*(
|
||
|
|
48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
||
|
|
1.35*^-15*r*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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*(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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 + 7.500000000000001*^-9*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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.*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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.*^-8*r*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(480/(E^(r^2/4)*r^5) -
|
||
|
|
(30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(3*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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.*^-16*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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 - 3.0000000000000004*^-8*(
|
||
|
|
48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)))*
|
||
|
|
(-2 + 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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)) +
|
||
|
|
(7.500000000000001*^-9*(-6.000000000000001*^-8*
|
||
|
|
(9.*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 -
|
||
|
|
3.0000000000000004*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 2.5*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(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*(480/(E^(r^2/4)*r^5) -
|
||
|
|
(30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2) +
|
||
|
|
1.8*^-7*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) + (-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*
|
||
|
|
r*(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-2 + 1.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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.*^-8*r*(480/(E^(r^2/4)*r^5) - (30*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (15*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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*(480/(E^(r^2/4)*r^5) - (30*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (15*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2) - 1.8*^-7*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) - (-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*
|
||
|
|
r*(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-2 + 1.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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.*^-8*r*(480/(E^(r^2/4)*r^5) - (30*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (15*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) -
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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) +
|
||
|
|
6.000000000000001*^-8*(18*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)^2 + 3*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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*(480/(E^(r^2/4)*r^5) -
|
||
|
|
(30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*(1 +
|
||
|
|
3*Cos[2*theta]) - 1.5000000000000002*^-8*(336/(E^(r^2/4)*
|
||
|
|
r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(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*^-16*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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 - 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)))*
|
||
|
|
(r*(2 - 6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
||
|
|
1.35*^-15*r*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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.*^-16*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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 - 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)))*
|
||
|
|
(3.0000000000000004*^-8*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 - 6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 - 6.000000000000001*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) - 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
||
|
|
1.*^-8*r*(-9*(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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*(1440/(E^(r^2/4)*r^6) - (90*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^6 + (39*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(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*(-1680/(E^(r^2/4)*r^5) + (105*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 - (48*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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*(10080/(E^(r^2/4)*r^6) - (630*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^6 + (297*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(87*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(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*(8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
((-8*r)/E^(r^2/4) + 8*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 48*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 64*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2) + 16*r*(-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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
||
|
|
1.35*^-15*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 +
|
||
|
|
1.35*^-15*r*(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 +
|
||
|
|
1.35*^-15*r*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(480/(E^(r^2/4)*r^5) - (30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 + (15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 - 6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
||
|
|
1.35*^-15*r*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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)*
|
||
|
|
(3.0000000000000004*^-8*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 - 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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.*^-8*(3*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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*(-1680/(E^(r^2/4)*
|
||
|
|
r^5) + (105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)) +
|
||
|
|
4.5*^-16*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(480/(E^(r^2/4)*r^5) - (30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 + (15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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.*^-16*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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 - 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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 + 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)))^2)) -
|
||
|
|
3.0000000000000004*^-8*r*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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]*
|
||
|
|
((1.5000000000000002*^-16*r*((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 + (6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/
|
||
|
|
2)))/r^3 + ((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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.*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2)*Cos[theta]^2*
|
||
|
|
Sin[theta]^2 - (3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(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.*^-16*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) + 16*r*
|
||
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*^-16*r*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^3)*Cos[theta]*
|
||
|
|
(1 + 3*Cos[2*theta])*Sin[theta]*
|
||
|
|
(((-6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (3*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 - 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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.*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^2)*
|
||
|
|
(3*((3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
(3*((21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(21*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (9*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) + 16*r*
|
||
|
|
(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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) +
|
||
|
|
(1.5000000000000002*^-8*Cos[theta]*Sin[theta]*
|
||
|
|
(-1.8*^-7*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
6*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 + 1.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2) + 7.500000000000001*^-9*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 - 6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 3.0000000000000004*^-8*r*(
|
||
|
|
-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*(
|
||
|
|
48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 3*Sin[theta]^2)) +
|
||
|
|
1.35*^-15*r*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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.*^-16*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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 - 3.0000000000000004*^-8*(
|
||
|
|
48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3) + 7.500000000000001*^-9*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(2 - 3*Sin[theta]^2)))*
|
||
|
|
(2 - 9.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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)) +
|
||
|
|
(7.500000000000001*^-9*(4*r*(480/(E^(r^2/4)*r^5) -
|
||
|
|
(30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r^2) -
|
||
|
|
1.8*^-7*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - (-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 + 3.0000000000000004*^-8*r*
|
||
|
|
(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-2 + 1.*^-8*(-96/(E^(r^2/4)*
|
||
|
|
r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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.*^-8*r*(480/(E^(r^2/4)*r^5) - (30*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 + (15*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) +
|
||
|
|
16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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*^-15*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
(1 + 7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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 - 3.0000000000000004*^-8*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^3) + 1.5000000000000002*^-8*(
|
||
|
|
336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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) - 3.0000000000000004*^-8*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(4 - 3.0000000000000004*^-8*r*(
|
||
|
|
-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) +
|
||
|
|
6.000000000000001*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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] +
|
||
|
|
3.0000000000000004*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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) + 6.000000000000001*^-8*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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] -
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*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.*^-16*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) -
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(1 - 3*Sin[theta]^2 + 3.7500000000000005*^-9*(336/(E^(r^2/4)*
|
||
|
|
r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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)) -
|
||
|
|
(3.0000000000000004*^-8*Cos[theta]*Sin[theta]*
|
||
|
|
(((4.5000000000000006*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 - 1.2000000000000002*^-7*
|
||
|
|
(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3) +
|
||
|
|
3.0000000000000004*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(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.*^-8*r*(480/(E^(r^2/4)*r^5) - (30*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^5 + (15*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 -
|
||
|
|
(5*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r^2) + 1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2) +
|
||
|
|
(480/(E^(r^2/4)*r^5) - (30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^5 + (15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3) - 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2 - 7.500000000000001*^-9*r*
|
||
|
|
(-1680/(E^(r^2/4)*r^5) + (105*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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.*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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*(-1680/(E^(r^2/4)*r^5) + (105*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (48*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(13*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^3 - (3*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2)))/
|
||
|
|
r^2 + (8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) - 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) - (3*r^2)/
|
||
|
|
(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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*(1440/(E^(r^2/4)*r^6) - (90*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^6 + (39*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(9*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^4 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(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*(10080/(E^(r^2/4)*r^6) - (630*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^6 + (297*((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^5 -
|
||
|
|
(87*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(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*((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(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*(8/E^(r^2/4) - (4*r^2)/E^(r^2/4) -
|
||
|
|
32*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) -
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2) + 48*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2) +
|
||
|
|
16*r*(-1/4*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/4 + (3*(-1/2*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2 -
|
||
|
|
(r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
((-8*r)/E^(r^2/4) + 8*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 48*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) -
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2) + 64*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
2) + 16*r*(-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*^-15*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) -
|
||
|
|
3.0000000000000004*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
1.5000000000000002*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(4 - 12*Cos[2*theta] -
|
||
|
|
3.0000000000000004*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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.*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-8*(-1.8*^-7*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
6*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(1 + 1.*^-8*(-96/(E^(r^2/4)*
|
||
|
|
r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/2))/r^2) + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*Sin[theta]^2) + (-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(-2 + 3.0000000000000004*^-8*
|
||
|
|
r*(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/r^3) -
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
7.500000000000001*^-9*r*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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*(-1680/(E^(r^2/4)*r^5) +
|
||
|
|
(105*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(48*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (13*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 -
|
||
|
|
(3*((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2)))/r^2 + (8/E^(r^2/4) -
|
||
|
|
(4*r^2)/E^(r^2/4) - 32*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) - 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
48*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2) + 16*r*(-1/4*r/E^(r^2/4) +
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/4 +
|
||
|
|
(3*(-1/2*r/E^(r^2/4) + (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2 - (r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(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 + 3.0000000000000004*^-8*(48/(E^(r^2/4)*
|
||
|
|
r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-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*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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] -
|
||
|
|
6.000000000000001*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(1 + 3*Cos[2*theta]) +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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.*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(480/(E^(r^2/4)*r^5) -
|
||
|
|
(30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^
|
||
|
|
4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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 +
|
||
|
|
(3.0000000000000004*^-8*Sin[2*theta]*
|
||
|
|
((3*r*(-240/(E^(r^2/4)*r^5) + (15*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^5 - (6*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^4 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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 +
|
||
|
|
((336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2))/2))/
|
||
|
|
r)*(1.*^-8 - 3.0000000000000004*^-8*Cos[2*theta]))/4) +
|
||
|
|
6.000000000000001*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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] +
|
||
|
|
6.000000000000001*^-8*r*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(480/(E^(r^2/4)*r^5) -
|
||
|
|
(30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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] -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(3*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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.*^-16*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)^2*(1 + 3*Cos[2*theta]) -
|
||
|
|
1.5000000000000002*^-8*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 -
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(-1 + 3*Cos[2*theta] +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (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*^-16*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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.*^-8*(9.*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2 +
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)/4 -
|
||
|
|
3.0000000000000004*^-8*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + ((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))))/r^3)*(-1 + 2.5*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(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*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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 +
|
||
|
|
7.500000000000001*^-9*(336/(E^(r^2/4)*r^4) -
|
||
|
|
(21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
(9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(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.*^-8*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(r/(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.*^-8*r*(-96/(E^(r^2/4)*r^4) +
|
||
|
|
(6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 -
|
||
|
|
(3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/r^2)*(480/(E^(r^2/4)*r^5) -
|
||
|
|
(30*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 +
|
||
|
|
(15*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 - (5*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^3 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(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 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) -
|
||
|
|
(3*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^4 +
|
||
|
|
((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/r^3)*(3*r*(-240/(E^(r^2/4)*r^5) +
|
||
|
|
(15*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/r^5 -
|
||
|
|
(6*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^4 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(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*(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 +
|
||
|
|
(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4))) + 16*r*(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.*^-16*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)^2*
|
||
|
|
(1 + 3*Cos[2*theta]) + 1.5000000000000002*^-8*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 - (2*(-16/E^(r^2/4) +
|
||
|
|
(8*r^2)/E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 16*r*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2)))/r^2 +
|
||
|
|
((16*r)/E^(r^2/4) - 16*r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))) + 32*(r/(2*E^(r^2/4)) -
|
||
|
|
(r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/2) +
|
||
|
|
16*r*(3/(4*E^(r^2/4)) - (3*r^2)/(8*E^(r^2/4)) -
|
||
|
|
(r*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2))/2))/r)*Sin[theta]^2 +
|
||
|
|
3.0000000000000004*^-8*(48/(E^(r^2/4)*r^4) - (3*(16/E^(r^2/4) -
|
||
|
|
(8*r^2)/E^(r^2/4)))/r^4 + ((-16*r)/E^(r^2/4) +
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))))/r^3)*
|
||
|
|
(-1 + 3*Cos[2*theta] + 7.500000000000001*^-9*
|
||
|
|
(336/(E^(r^2/4)*r^4) - (21*(16/E^(r^2/4) - (8*r^2)/
|
||
|
|
E^(r^2/4)))/r^4 + (9*((-16*r)/E^(r^2/4) + 16*r*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4)))))/r^3 -
|
||
|
|
(2*(-16/E^(r^2/4) + (8*r^2)/E^(r^2/4) + 16*
|
||
|
|
(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) + 16*r*
|
||
|
|
(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2)))/r^2 + ((16*r)/E^(r^2/4) -
|
||
|
|
16*r*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
32*(r/(2*E^(r^2/4)) - (r*(-1/2*1/E^(r^2/4) + r^2/
|
||
|
|
(4*E^(r^2/4))))/2) + 16*r*(3/(4*E^(r^2/4)) -
|
||
|
|
(3*r^2)/(8*E^(r^2/4)) - (r*(r/(2*E^(r^2/4)) -
|
||
|
|
(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*^-16*
|
||
|
|
(-96/(E^(r^2/4)*r^4) + (6*(16/E^(r^2/4) - (8*r^2)/E^(r^2/4)))/
|
||
|
|
r^4 - (3*((-16*r)/E^(r^2/4) + 16*r*(-1/2*1/E^(r^2/4) +
|
||
|
|
r^2/(4*E^(r^2/4)))))/r^3 + (-16/E^(r^2/4) + (8*r^2)/
|
||
|
|
E^(r^2/4) + 16*(-1/2*1/E^(r^2/4) + r^2/(4*E^(r^2/4))) +
|
||
|
|
16*r*(r/(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
|