2D deep beam

2D deep beam#

import sympy as sym
from sympy import *
x = sym.Symbol('x')
z = sym.Symbol('z')
E = 5000
t = 25
v = 0.25
L = 5000
f_0 = 1000
d = sym.Symbol('d')
U_x = Function('U_x')(z)
U_z = Function('U_z')(z)
alpha = 3*3.1428 / L


# ux(x, z) -> Ux(z)*sin(alpha*x)
u_x = U_x*sin(alpha*x)

# uz(x, z) -> Uz(z)*cos(alpha*x)
u_z = U_z*cos(alpha*x)

f = f_0 * cos(alpha*x)
u_x
\[\displaystyle U_{x}{\left(z \right)} \sin{\left(0.00188568 x \right)}\]
u_z
\[\displaystyle U_{z}{\left(z \right)} \cos{\left(0.00188568 x \right)}\]
u_x_xx = diff(u_x,x,x)
u_x_xx
\[\displaystyle - 3.5557890624 \cdot 10^{-6} U_{x}{\left(z \right)} \sin{\left(0.00188568 x \right)}\]
u_x_zz = diff(u_x,z,z)
u_x_zz
\[\displaystyle \sin{\left(0.00188568 x \right)} \frac{d^{2}}{d z^{2}} U_{x}{\left(z \right)}\]
u_z_zz = diff(u_z,z,z)
u_z_zz 
\[\displaystyle \cos{\left(0.00188568 x \right)} \frac{d^{2}}{d z^{2}} U_{z}{\left(z \right)}\]
u_z_xx = diff(u_z,x,x)
u_z_xx 
\[\displaystyle - 3.5557890624 \cdot 10^{-6} U_{z}{\left(z \right)} \cos{\left(0.00188568 x \right)}\]
u_x_xz = diff(u_x,x,z)
u_x_xz
\[\displaystyle 0.00188568 \cos{\left(0.00188568 x \right)} \frac{d}{d z} U_{x}{\left(z \right)}\]
u_z_zx = diff(u_z,z,x)
u_z_zx
\[\displaystyle - 0.00188568 \sin{\left(0.00188568 x \right)} \frac{d}{d z} U_{z}{\left(z \right)}\]
PDE1 = Eq((E*t)/(1-v**2)*(u_x_xx + u_x_zz*(1-v)/2 + u_z_zx*(1+v)/2 ),0)
PDE1
\[\displaystyle - 0.47410520832 U_{x}{\left(z \right)} \sin{\left(0.00188568 x \right)} + 50000.0 \sin{\left(0.00188568 x \right)} \frac{d^{2}}{d z^{2}} U_{x}{\left(z \right)} - 157.14 \sin{\left(0.00188568 x \right)} \frac{d}{d z} U_{z}{\left(z \right)} = 0\]
PDE2 = Eq((E*t)/(1-v**2)*(u_z_zz + u_z_xx*(1-v)/2 + u_x_xz*(1+v)/2 ),0)
PDE2
\[\displaystyle - 0.17778945312 U_{z}{\left(z \right)} \cos{\left(0.00188568 x \right)} + 157.14 \cos{\left(0.00188568 x \right)} \frac{d}{d z} U_{x}{\left(z \right)} + 133333.333333333 \cos{\left(0.00188568 x \right)} \frac{d^{2}}{d z^{2}} U_{z}{\left(z \right)} = 0\]
U_x, U_z =  dsolve([PDE1,PDE2], [U_x,U_z])
U_x
\[\displaystyle U_{x}{\left(z \right)} = \frac{0.00188568 C_{1} z}{\left(e^{- 0.00188568 z}\right)^{1.0}} + 0.00188568 C_{2} z e^{- 0.00188568 z} + \frac{1.2 C_{1} + 0.00188568 C_{4}}{\left(e^{- 0.00188568 z}\right)^{1.0}} - \left(1.2 C_{2} - 0.00188568 C_{3}\right) e^{- 0.00188568 z}\]
U_z
\[\displaystyle U_{z}{\left(z \right)} = - \frac{0.00188568 C_{1} z}{\left(e^{- 0.00188568 z}\right)^{1.0}} + 0.00188568 C_{2} z e^{- 0.00188568 z} + \frac{1.0 C_{1} - 0.00188568 C_{4}}{\left(e^{- 0.00188568 z}\right)^{1.0}} + \left(1.0 C_{2} + 0.00188568 C_{3}\right) e^{- 0.00188568 z}\]

Now we redefine \(u_x(x,z)\) and \(u_z(x,z)\) to be able to introduce the BCs.

u_x = U_x.rhs*sin(alpha*x)
u_z = U_z.rhs*cos(alpha*x)
sigma_xx = E/(1-v**2) * (diff(u_x,x) + v*diff(u_z,z))
sigma_zz = E/(1-v**2) * (diff(u_z,z) + v*diff(u_x,x))
sigma_xz = E/(1+v) * (diff(u_x,z) + diff(u_z,x))
sigma_zz 
\[\displaystyle 2.51424 \cdot \left(\frac{0.00188568 C_{1} z}{\left(e^{- 0.00188568 z}\right)^{1.0}} + 0.00188568 C_{2} z e^{- 0.00188568 z} + \frac{1.2 C_{1} + 0.00188568 C_{4}}{\left(e^{- 0.00188568 z}\right)^{1.0}} - \left(1.2 C_{2} - 0.00188568 C_{3}\right) e^{- 0.00188568 z}\right) \cos{\left(0.00188568 x \right)} + 5333.33333333333 \left(- \frac{3.5557890624 \cdot 10^{-6} C_{1} z}{\left(e^{- 0.00188568 z}\right)^{1.0}} - \frac{0.00188568 C_{1}}{\left(e^{- 0.00188568 z}\right)^{1.0}} - 3.5557890624 \cdot 10^{-6} C_{2} z e^{- 0.00188568 z} + 0.00188568 C_{2} e^{- 0.00188568 z} + \frac{0.00188568 \cdot \left(1.0 C_{1} - 0.00188568 C_{4}\right)}{\left(e^{- 0.00188568 z}\right)^{1.0}} - 0.00188568 \cdot \left(1.0 C_{2} + 0.00188568 C_{3}\right) e^{- 0.00188568 z}\right) \cos{\left(0.00188568 x \right)}\]
eq1 = Eq(sigma_zz.subs(z,-d/2),f)
eq1
\[\displaystyle 2.51424 \left(- \frac{0.00094284 C_{1} d}{\left(e^{0.00094284 d}\right)^{1.0}} - 0.00094284 C_{2} d e^{0.00094284 d} + \frac{1.2 C_{1} + 0.00188568 C_{4}}{\left(e^{0.00094284 d}\right)^{1.0}} - \left(1.2 C_{2} - 0.00188568 C_{3}\right) e^{0.00094284 d}\right) \cos{\left(0.00188568 x \right)} + 5333.33333333333 \cdot \left(\frac{1.7778945312 \cdot 10^{-6} C_{1} d}{\left(e^{0.00094284 d}\right)^{1.0}} - \frac{0.00188568 C_{1}}{\left(e^{0.00094284 d}\right)^{1.0}} + 1.7778945312 \cdot 10^{-6} C_{2} d e^{0.00094284 d} + 0.00188568 C_{2} e^{0.00094284 d} + \frac{0.00188568 \cdot \left(1.0 C_{1} - 0.00188568 C_{4}\right)}{\left(e^{0.00094284 d}\right)^{1.0}} - 0.00188568 \cdot \left(1.0 C_{2} + 0.00188568 C_{3}\right) e^{0.00094284 d}\right) \cos{\left(0.00188568 x \right)} = 1000 \cos{\left(0.00188568 x \right)}\]
eq2 = Eq(sigma_xz.subs(z,-d/2),0)
eq2
\[\displaystyle - 7.54272 \cdot \left(\frac{0.00094284 C_{1} d}{\left(e^{0.00094284 d}\right)^{1.0}} - 0.00094284 C_{2} d e^{0.00094284 d} + \frac{1.0 C_{1} - 0.00188568 C_{4}}{\left(e^{0.00094284 d}\right)^{1.0}} + \left(1.0 C_{2} + 0.00188568 C_{3}\right) e^{0.00094284 d}\right) \sin{\left(0.00188568 x \right)} + 4000.0 \left(- \frac{1.7778945312 \cdot 10^{-6} C_{1} d}{\left(e^{0.00094284 d}\right)^{1.0}} + \frac{0.00188568 C_{1}}{\left(e^{0.00094284 d}\right)^{1.0}} + 1.7778945312 \cdot 10^{-6} C_{2} d e^{0.00094284 d} + 0.00188568 C_{2} e^{0.00094284 d} + \frac{0.00188568 \cdot \left(1.2 C_{1} + 0.00188568 C_{4}\right)}{\left(e^{0.00094284 d}\right)^{1.0}} + 0.00188568 \cdot \left(1.2 C_{2} - 0.00188568 C_{3}\right) e^{0.00094284 d}\right) \sin{\left(0.00188568 x \right)} = 0\]
eq3 = Eq(sigma_zz.subs(z,d/2),0)
eq3
\[\displaystyle 2.51424 \cdot \left(\frac{0.00094284 C_{1} d}{\left(e^{- 0.00094284 d}\right)^{1.0}} + 0.00094284 C_{2} d e^{- 0.00094284 d} + \frac{1.2 C_{1} + 0.00188568 C_{4}}{\left(e^{- 0.00094284 d}\right)^{1.0}} - \left(1.2 C_{2} - 0.00188568 C_{3}\right) e^{- 0.00094284 d}\right) \cos{\left(0.00188568 x \right)} + 5333.33333333333 \left(- \frac{1.7778945312 \cdot 10^{-6} C_{1} d}{\left(e^{- 0.00094284 d}\right)^{1.0}} - \frac{0.00188568 C_{1}}{\left(e^{- 0.00094284 d}\right)^{1.0}} - 1.7778945312 \cdot 10^{-6} C_{2} d e^{- 0.00094284 d} + 0.00188568 C_{2} e^{- 0.00094284 d} + \frac{0.00188568 \cdot \left(1.0 C_{1} - 0.00188568 C_{4}\right)}{\left(e^{- 0.00094284 d}\right)^{1.0}} - 0.00188568 \cdot \left(1.0 C_{2} + 0.00188568 C_{3}\right) e^{- 0.00094284 d}\right) \cos{\left(0.00188568 x \right)} = 0\]
eq4 = Eq(sigma_xz.subs(z,d/2),0)
eq4
\[\displaystyle - 7.54272 \left(- \frac{0.00094284 C_{1} d}{\left(e^{- 0.00094284 d}\right)^{1.0}} + 0.00094284 C_{2} d e^{- 0.00094284 d} + \frac{1.0 C_{1} - 0.00188568 C_{4}}{\left(e^{- 0.00094284 d}\right)^{1.0}} + \left(1.0 C_{2} + 0.00188568 C_{3}\right) e^{- 0.00094284 d}\right) \sin{\left(0.00188568 x \right)} + 4000.0 \cdot \left(\frac{1.7778945312 \cdot 10^{-6} C_{1} d}{\left(e^{- 0.00094284 d}\right)^{1.0}} + \frac{0.00188568 C_{1}}{\left(e^{- 0.00094284 d}\right)^{1.0}} - 1.7778945312 \cdot 10^{-6} C_{2} d e^{- 0.00094284 d} + 0.00188568 C_{2} e^{- 0.00094284 d} + \frac{0.00188568 \cdot \left(1.2 C_{1} + 0.00188568 C_{4}\right)}{\left(e^{- 0.00094284 d}\right)^{1.0}} + 0.00188568 \cdot \left(1.2 C_{2} - 0.00188568 C_{3}\right) e^{- 0.00094284 d}\right) \sin{\left(0.00188568 x \right)} = 0\]
u_x.free_symbols
{C1, C2, C3, C4, x, z}
parameters = u_x.free_symbols - set([alpha, v, x, z, f_0])
parameters
{C1, C2, C3, C4}
sol_params = solve([eq1, eq2, eq3, eq4], parameters)
sol_params
{C1: 7.8954355738057e+43*d**7*exp(0.00754272*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) - 2.09352476926247e+46*d**6*exp(0.00377136*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) + 5.86186935393491e+46*d**6*exp(0.00754272*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) + 6.2805743077874e+46*d**6*exp(0.01131408*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 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8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) + 2.59792115315121e+49*d**5*exp(0.00754272*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) + 9.99200443519696e+48*d**5*exp(0.01131408*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) + 1.66533407253283e+49*d**5*exp(0.01508544*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) - 8.65484807115826e+51*d**4*exp(0.00377136*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) + 1.92172953090208e+52*d**4*exp(0.00754272*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) + 1.05977731483571e+51*d**4*exp(0.01131408*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) - 7.0651820989047e+51*d**4*exp(0.01508544*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) + 1.47191293727181e+51*d**4*exp(0.0188568*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) - 2.3323553607018e+54*d**3*exp(0.00377136*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) + 4.08396360347786e+54*d**3*exp(0.00754272*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) + 5.43279561930541e+53*d**3*exp(0.01131408*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) - 8.11797046562877e+53*d**3*exp(0.01508544*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) - 1.48309075814372e+54*d**3*exp(0.0188568*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) - 9.73606467568874e+56*d**2*exp(0.00377136*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) + 2.62277660651207e+57*d**2*exp(0.00754272*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) - 2.02669101412296e+57*d**2*exp(0.01131408*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) + 7.94780789852142e+55*d**2*exp(0.01508544*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) + 2.98042796194553e+56*d**2*exp(0.0188568*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) - 1.26444697380066e+59*d*exp(0.00377136*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) + 2.80988216400146e+59*d*exp(0.00754272*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) - 8.42964649200439e+58*d*exp(0.01131408*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) - 1.68592929840088e+59*d*exp(0.01508544*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) + 9.83458757400513e+58*d*exp(0.0188568*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) - 2.98023223876953e+61*exp(0.00377136*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) + 1.19209289550781e+62*exp(0.00754272*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) - 1.78813934326172e+62*exp(0.01131408*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) + 1.19209289550781e+62*exp(0.01508544*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)) - 2.98023223876953e+61*exp(0.0188568*d)/(2.24596027649777e+39*d**8*exp(0.00659988*d) + 1.0719550766026e+42*d**7*exp(0.00659988*d) + 1.78659179433767e+42*d**7*exp(0.01037124*d) - 1.57908711476114e+44*d**6*exp(0.00282852*d) + 1.24432064643178e+45*d**6*exp(0.00659988*d) - 3.47399165247451e+44*d**6*exp(0.01037124*d) + 4.73726134428342e+44*d**6*exp(0.0141426*d) - 7.53668916934488e+46*d**5*exp(0.00282852*d) + 2.753403776534e+47*d**5*exp(0.00659988*d) + 3.81858917913474e+47*d**5*exp(0.01037124*d) - 4.52201350160693e+47*d**5*exp(0.0141426*d) + 4.18704953852494e+46*d**5*exp(0.01791396*d) - 6.52810956432868e+49*d**4*exp(0.00282852*d) + 2.48334616896095e+50*d**4*exp(0.00659988*d) - 2.50999151412148e+50*d**4*exp(0.01037124*d) + 1.54543001931046e+50*d**4*exp(0.0141426*d) - 8.6597371771707e+49*d**4*exp(0.01791396*d) - 1.75923034262727e+52*d**3*exp(0.00282852*d) + 3.42661331796878e+52*d**3*exp(0.00659988*d) + 2.98150684573778e+52*d**3*exp(0.01037124*d) - 9.50031486232719e+52*d**3*exp(0.0141426*d) + 5.14580762870226e+52*d**3*exp(0.01791396*d) - 2.94382587454363e+51*d**3*exp(0.02168532*d) - 7.3436409750611e+54*d**2*exp(0.00282852*d) + 2.67268566099162e+55*d**2*exp(0.00659988*d) - 3.98654795789031e+55*d**2*exp(0.01037124*d) + 3.26717088278229e+55*d**2*exp(0.0141426*d) - 1.59362004832959e+55*d**2*exp(0.01791396*d) + 3.74675559952097e+54*d**2*exp(0.02168532*d) - 9.53736947822571e+56*d*exp(0.00282852*d) + 2.225386211586e+57*d*exp(0.00659988*d) + 6.35824631881714e+56*d*exp(0.01037124*d) - 5.72242168693542e+57*d*exp(0.0141426*d) + 5.40450937099457e+57*d*exp(0.01791396*d) - 1.58956157970428e+57*d*exp(0.02168532*d) - 2.24790573120117e+59*exp(0.00282852*d) + 1.12395286560059e+60*exp(0.00659988*d) - 2.24790573120117e+60*exp(0.01037124*d) + 2.24790573120117e+60*exp(0.0141426*d) - 1.12395286560059e+60*exp(0.01791396*d) + 2.24790573120117e+59*exp(0.02168532*d)),
 C2: 2.43718291801626e+61*d**11*exp(0.0094284*d)/(6.93288669036025e+56*d**12*exp(0.01037124*d) + 5.51489650181387e+59*d**11*exp(0.01037124*d) + 9.19149416968978e+59*d**11*exp(0.0141426*d) - 4.87436583603251e+61*d**10*exp(0.00659988*d) + 6.62913753700421e+62*d**10*exp(0.01037124*d) + 1.46230975080975e+62*d**10*exp(0.0141426*d) + 4.87436583603251e+62*d**10*exp(0.01791396*d) - 3.87740695878875e+64*d**9*exp(0.00659988*d) + 2.88996065328388e+65*d**9*exp(0.01037124*d) + 3.95495509796452e+65*d**9*exp(0.0141426*d) - 2.45569107389954e+65*d**9*exp(0.01791396*d) + 1.29246898626292e+65*d**9*exp(0.02168532*d) - 3.97539355581271e+67*d**8*exp(0.00659988*d) + 2.14972833593983e+68*d**8*exp(0.01037124*d) - 6.90895983492968e+67*d**8*exp(0.0141426*d) + 1.46678313955848e+68*d**8*exp(0.01791396*d) - 1.57644916868435e+68*d**8*exp(0.02168532*d) + 1.71353170509169e+67*d**8*exp(0.02545668*d) - 1.94099938593814e+70*d**7*exp(0.00659988*d) + 6.55993819433624e+70*d**7*exp(0.01037124*d) + 4.79579511199773e+70*d**7*exp(0.0141426*d) - 1.30781194580626e+71*d**7*exp(0.01791396*d) + 8.06932328985521e+70*d**7*exp(0.02168532*d) - 3.54395955297695e+70*d**7*exp(0.02545668*d) + 9.08707577686397e+68*d**7*exp(0.02922804*d) - 1.04880529680363e+73*d**6*exp(0.00659988*d) + 3.93376198769524e+73*d**6*exp(0.01037124*d) - 3.94166513365535e+73*d**6*exp(0.0141426*d) + 3.60306351917911e+73*d**6*exp(0.01791396*d) - 4.92211785588693e+73*d**6*exp(0.02168532*d) + 2.68899722301244e+73*d**6*exp(0.02545668*d) - 3.13234443540876e+72*d**6*exp(0.02922804*d) - 3.39059012020308e+75*d**5*exp(0.00659988*d) + 9.4482776405442e+75*d**5*exp(0.01037124*d) + 3.94519018285721e+74*d**5*exp(0.0141426*d) - 2.13624371462745e+76*d**5*exp(0.01791396*d) + 2.41895133678918e+76*d**5*exp(0.02168532*d) - 1.28315281573082e+76*d**5*exp(0.02545668*d) + 3.61613470276659e+75*d**5*exp(0.02922804*d) - 6.388930570259e+73*d**5*exp(0.0329994*d) - 1.17982847508478e+78*d**4*exp(0.00659988*d) + 4.52220600034793e+78*d**4*exp(0.01037124*d) - 6.93650672477247e+78*d**4*exp(0.0141426*d) + 7.14423980309102e+78*d**4*exp(0.01791396*d) - 7.47383717161315e+78*d**4*exp(0.02168532*d) + 5.86444791557947e+78*d**4*exp(0.02545668*d) - 2.07624658131534e+78*d**4*exp(0.02922804*d) + 1.3552523376732e+77*d**4*exp(0.0329994*d) - 2.45625471407234e+80*d**3*exp(0.00659988*d) + 7.99432714055753e+80*d**3*exp(0.01037124*d) - 4.3329437090939e+80*d**3*exp(0.0141426*d) - 1.46363342699966e+81*d**3*exp(0.01791396*d) + 2.79571463523065e+81*d**3*exp(0.02168532*d) - 2.10575544588449e+81*d**3*exp(0.02545668*d) + 7.68154564138727e+80*d**3*exp(0.02922804*d) - 1.1499319822436e+80*d**3*exp(0.0329994*d) - 5.65916210344313e+82*d**2*exp(0.00659988*d) + 2.75932938423055e+83*d**2*exp(0.01037124*d) - 5.795762568009e+83*d**2*exp(0.0141426*d) + 7.39593943863775e+83*d**2*exp(0.01791396*d) - 7.00565239702098e+83*d**2*exp(0.02168532*d) + 5.09324589309882e+83*d**2*exp(0.02545668*d) - 2.36904234261378e+83*d**2*exp(0.02922804*d) + 4.8785880202096e+82*d**2*exp(0.0329994*d) - 6.20922492071986e+84*d*exp(0.00659988*d) + 2.69066413231194e+85*d*exp(0.01037124*d) - 3.10461246035993e+85*d*exp(0.0141426*d) - 3.10461246035993e+85*d*exp(0.01791396*d) + 1.13835790213197e+86*d*exp(0.02168532*d) - 1.17975273493677e+86*d*exp(0.02545668*d) + 5.58830242864788e+85*d*exp(0.02922804*d) - 1.03487082011998e+85*d*exp(0.0329994*d) - 8.78088176250458e+86*exp(0.00659988*d) + 6.1466172337532e+87*exp(0.01037124*d) - 1.84398517012596e+88*exp(0.0141426*d) + 3.0733086168766e+88*exp(0.01791396*d) - 3.0733086168766e+88*exp(0.02168532*d) + 1.84398517012596e+88*exp(0.02545668*d) - 6.1466172337532e+87*exp(0.02922804*d) + 8.78088176250458e+86*exp(0.0329994*d)) + 1.29246898626292e+64*d**10*exp(0.0094284*d)/(6.93288669036025e+56*d**12*exp(0.01037124*d) + 5.51489650181387e+59*d**11*exp(0.01037124*d) + 9.19149416968978e+59*d**11*exp(0.0141426*d) - 4.87436583603251e+61*d**10*exp(0.00659988*d) + 6.62913753700421e+62*d**10*exp(0.01037124*d) + 1.46230975080975e+62*d**10*exp(0.0141426*d) + 4.87436583603251e+62*d**10*exp(0.01791396*d) - 3.87740695878875e+64*d**9*exp(0.00659988*d) + 2.88996065328388e+65*d**9*exp(0.01037124*d) + 3.95495509796452e+65*d**9*exp(0.0141426*d) - 2.45569107389954e+65*d**9*exp(0.01791396*d) + 1.29246898626292e+65*d**9*exp(0.02168532*d) - 3.97539355581271e+67*d**8*exp(0.00659988*d) + 2.14972833593983e+68*d**8*exp(0.01037124*d) - 6.90895983492968e+67*d**8*exp(0.0141426*d) + 1.46678313955848e+68*d**8*exp(0.01791396*d) - 1.57644916868435e+68*d**8*exp(0.02168532*d) + 1.71353170509169e+67*d**8*exp(0.02545668*d) - 1.94099938593814e+70*d**7*exp(0.00659988*d) + 6.55993819433624e+70*d**7*exp(0.01037124*d) + 4.79579511199773e+70*d**7*exp(0.0141426*d) - 1.30781194580626e+71*d**7*exp(0.01791396*d) + 8.06932328985521e+70*d**7*exp(0.02168532*d) - 3.54395955297695e+70*d**7*exp(0.02545668*d) + 9.08707577686397e+68*d**7*exp(0.02922804*d) - 1.04880529680363e+73*d**6*exp(0.00659988*d) + 3.93376198769524e+73*d**6*exp(0.01037124*d) - 3.94166513365535e+73*d**6*exp(0.0141426*d) + 3.60306351917911e+73*d**6*exp(0.01791396*d) - 4.92211785588693e+73*d**6*exp(0.02168532*d) + 2.68899722301244e+73*d**6*exp(0.02545668*d) - 3.13234443540876e+72*d**6*exp(0.02922804*d) - 3.39059012020308e+75*d**5*exp(0.00659988*d) + 9.4482776405442e+75*d**5*exp(0.01037124*d) + 3.94519018285721e+74*d**5*exp(0.0141426*d) - 2.13624371462745e+76*d**5*exp(0.01791396*d) + 2.41895133678918e+76*d**5*exp(0.02168532*d) - 1.28315281573082e+76*d**5*exp(0.02545668*d) + 3.61613470276659e+75*d**5*exp(0.02922804*d) - 6.388930570259e+73*d**5*exp(0.0329994*d) - 1.17982847508478e+78*d**4*exp(0.00659988*d) + 4.52220600034793e+78*d**4*exp(0.01037124*d) - 6.93650672477247e+78*d**4*exp(0.0141426*d) + 7.14423980309102e+78*d**4*exp(0.01791396*d) - 7.47383717161315e+78*d**4*exp(0.02168532*d) + 5.86444791557947e+78*d**4*exp(0.02545668*d) - 2.07624658131534e+78*d**4*exp(0.02922804*d) + 1.3552523376732e+77*d**4*exp(0.0329994*d) - 2.45625471407234e+80*d**3*exp(0.00659988*d) + 7.99432714055753e+80*d**3*exp(0.01037124*d) - 4.3329437090939e+80*d**3*exp(0.0141426*d) - 1.46363342699966e+81*d**3*exp(0.01791396*d) + 2.79571463523065e+81*d**3*exp(0.02168532*d) - 2.10575544588449e+81*d**3*exp(0.02545668*d) + 7.68154564138727e+80*d**3*exp(0.02922804*d) - 1.1499319822436e+80*d**3*exp(0.0329994*d) - 5.65916210344313e+82*d**2*exp(0.00659988*d) + 2.75932938423055e+83*d**2*exp(0.01037124*d) - 5.795762568009e+83*d**2*exp(0.0141426*d) + 7.39593943863775e+83*d**2*exp(0.01791396*d) - 7.00565239702098e+83*d**2*exp(0.02168532*d) + 5.09324589309882e+83*d**2*exp(0.02545668*d) - 2.36904234261378e+83*d**2*exp(0.02922804*d) + 4.8785880202096e+82*d**2*exp(0.0329994*d) - 6.20922492071986e+84*d*exp(0.00659988*d) + 2.69066413231194e+85*d*exp(0.01037124*d) - 3.10461246035993e+85*d*exp(0.0141426*d) - 3.10461246035993e+85*d*exp(0.01791396*d) + 1.13835790213197e+86*d*exp(0.02168532*d) - 1.17975273493677e+86*d*exp(0.02545668*d) + 5.58830242864788e+85*d*exp(0.02922804*d) - 1.03487082011998e+85*d*exp(0.0329994*d) - 8.78088176250458e+86*exp(0.00659988*d) + 6.1466172337532e+87*exp(0.01037124*d) - 1.84398517012596e+88*exp(0.0141426*d) + 3.0733086168766e+88*exp(0.01791396*d) - 3.0733086168766e+88*exp(0.02168532*d) + 1.84398517012596e+88*exp(0.02545668*d) - 6.1466172337532e+87*exp(0.02922804*d) + 8.78088176250458e+86*exp(0.0329994*d)) + 3.87740695878875e+64*d**10*exp(0.01319976*d)/(6.93288669036025e+56*d**12*exp(0.01037124*d) + 5.51489650181387e+59*d**11*exp(0.01037124*d) + 9.19149416968978e+59*d**11*exp(0.0141426*d) - 4.87436583603251e+61*d**10*exp(0.00659988*d) + 6.62913753700421e+62*d**10*exp(0.01037124*d) + 1.46230975080975e+62*d**10*exp(0.0141426*d) + 4.87436583603251e+62*d**10*exp(0.01791396*d) - 3.87740695878875e+64*d**9*exp(0.00659988*d) + 2.88996065328388e+65*d**9*exp(0.01037124*d) + 3.95495509796452e+65*d**9*exp(0.0141426*d) - 2.45569107389954e+65*d**9*exp(0.01791396*d) + 1.29246898626292e+65*d**9*exp(0.02168532*d) - 3.97539355581271e+67*d**8*exp(0.00659988*d) + 2.14972833593983e+68*d**8*exp(0.01037124*d) - 6.90895983492968e+67*d**8*exp(0.0141426*d) + 1.46678313955848e+68*d**8*exp(0.01791396*d) - 1.57644916868435e+68*d**8*exp(0.02168532*d) + 1.71353170509169e+67*d**8*exp(0.02545668*d) - 1.94099938593814e+70*d**7*exp(0.00659988*d) + 6.55993819433624e+70*d**7*exp(0.01037124*d) + 4.79579511199773e+70*d**7*exp(0.0141426*d) - 1.30781194580626e+71*d**7*exp(0.01791396*d) + 8.06932328985521e+70*d**7*exp(0.02168532*d) - 3.54395955297695e+70*d**7*exp(0.02545668*d) + 9.08707577686397e+68*d**7*exp(0.02922804*d) - 1.04880529680363e+73*d**6*exp(0.00659988*d) + 3.93376198769524e+73*d**6*exp(0.01037124*d) - 3.94166513365535e+73*d**6*exp(0.0141426*d) + 3.60306351917911e+73*d**6*exp(0.01791396*d) - 4.92211785588693e+73*d**6*exp(0.02168532*d) + 2.68899722301244e+73*d**6*exp(0.02545668*d) - 3.13234443540876e+72*d**6*exp(0.02922804*d) - 3.39059012020308e+75*d**5*exp(0.00659988*d) + 9.4482776405442e+75*d**5*exp(0.01037124*d) + 3.94519018285721e+74*d**5*exp(0.0141426*d) - 2.13624371462745e+76*d**5*exp(0.01791396*d) + 2.41895133678918e+76*d**5*exp(0.02168532*d) - 1.28315281573082e+76*d**5*exp(0.02545668*d) + 3.61613470276659e+75*d**5*exp(0.02922804*d) - 6.388930570259e+73*d**5*exp(0.0329994*d) - 1.17982847508478e+78*d**4*exp(0.00659988*d) + 4.52220600034793e+78*d**4*exp(0.01037124*d) - 6.93650672477247e+78*d**4*exp(0.0141426*d) + 7.14423980309102e+78*d**4*exp(0.01791396*d) - 7.47383717161315e+78*d**4*exp(0.02168532*d) + 5.86444791557947e+78*d**4*exp(0.02545668*d) - 2.07624658131534e+78*d**4*exp(0.02922804*d) + 1.3552523376732e+77*d**4*exp(0.0329994*d) - 2.45625471407234e+80*d**3*exp(0.00659988*d) + 7.99432714055753e+80*d**3*exp(0.01037124*d) - 4.3329437090939e+80*d**3*exp(0.0141426*d) - 1.46363342699966e+81*d**3*exp(0.01791396*d) + 2.79571463523065e+81*d**3*exp(0.02168532*d) - 2.10575544588449e+81*d**3*exp(0.02545668*d) + 7.68154564138727e+80*d**3*exp(0.02922804*d) - 1.1499319822436e+80*d**3*exp(0.0329994*d) - 5.65916210344313e+82*d**2*exp(0.00659988*d) + 2.75932938423055e+83*d**2*exp(0.01037124*d) - 5.795762568009e+83*d**2*exp(0.0141426*d) + 7.39593943863775e+83*d**2*exp(0.01791396*d) - 7.00565239702098e+83*d**2*exp(0.02168532*d) + 5.09324589309882e+83*d**2*exp(0.02545668*d) - 2.36904234261378e+83*d**2*exp(0.02922804*d) + 4.8785880202096e+82*d**2*exp(0.0329994*d) - 6.20922492071986e+84*d*exp(0.00659988*d) + 2.69066413231194e+85*d*exp(0.01037124*d) - 3.10461246035993e+85*d*exp(0.0141426*d) - 3.10461246035993e+85*d*exp(0.01791396*d) + 1.13835790213197e+86*d*exp(0.02168532*d) - 1.17975273493677e+86*d*exp(0.02545668*d) + 5.58830242864788e+85*d*exp(0.02922804*d) - 1.03487082011998e+85*d*exp(0.0329994*d) - 8.78088176250458e+86*exp(0.00659988*d) + 6.1466172337532e+87*exp(0.01037124*d) - 1.84398517012596e+88*exp(0.0141426*d) + 3.0733086168766e+88*exp(0.01791396*d) - 3.0733086168766e+88*exp(0.02168532*d) + 1.84398517012596e+88*exp(0.02545668*d) - 6.1466172337532e+87*exp(0.02922804*d) + 8.78088176250458e+86*exp(0.0329994*d)) + 1.47363726637885e+67*d**9*exp(0.0094284*d)/(6.93288669036025e+56*d**12*exp(0.01037124*d) + 5.51489650181387e+59*d**11*exp(0.01037124*d) + 9.19149416968978e+59*d**11*exp(0.0141426*d) - 4.87436583603251e+61*d**10*exp(0.00659988*d) + 6.62913753700421e+62*d**10*exp(0.01037124*d) + 1.46230975080975e+62*d**10*exp(0.0141426*d) + 4.87436583603251e+62*d**10*exp(0.01791396*d) - 3.87740695878875e+64*d**9*exp(0.00659988*d) + 2.88996065328388e+65*d**9*exp(0.01037124*d) + 3.95495509796452e+65*d**9*exp(0.0141426*d) - 2.45569107389954e+65*d**9*exp(0.01791396*d) + 1.29246898626292e+65*d**9*exp(0.02168532*d) - 3.97539355581271e+67*d**8*exp(0.00659988*d) + 2.14972833593983e+68*d**8*exp(0.01037124*d) - 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4.87436583603251e+61*d**10*exp(0.00659988*d) + 6.62913753700421e+62*d**10*exp(0.01037124*d) + 1.46230975080975e+62*d**10*exp(0.0141426*d) + 4.87436583603251e+62*d**10*exp(0.01791396*d) - 3.87740695878875e+64*d**9*exp(0.00659988*d) + 2.88996065328388e+65*d**9*exp(0.01037124*d) + 3.95495509796452e+65*d**9*exp(0.0141426*d) - 2.45569107389954e+65*d**9*exp(0.01791396*d) + 1.29246898626292e+65*d**9*exp(0.02168532*d) - 3.97539355581271e+67*d**8*exp(0.00659988*d) + 2.14972833593983e+68*d**8*exp(0.01037124*d) - 6.90895983492968e+67*d**8*exp(0.0141426*d) + 1.46678313955848e+68*d**8*exp(0.01791396*d) - 1.57644916868435e+68*d**8*exp(0.02168532*d) + 1.71353170509169e+67*d**8*exp(0.02545668*d) - 1.94099938593814e+70*d**7*exp(0.00659988*d) + 6.55993819433624e+70*d**7*exp(0.01037124*d) + 4.79579511199773e+70*d**7*exp(0.0141426*d) - 1.30781194580626e+71*d**7*exp(0.01791396*d) + 8.06932328985521e+70*d**7*exp(0.02168532*d) - 3.54395955297695e+70*d**7*exp(0.02545668*d) + 9.08707577686397e+68*d**7*exp(0.02922804*d) - 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4.87436583603251e+61*d**10*exp(0.00659988*d) + 6.62913753700421e+62*d**10*exp(0.01037124*d) + 1.46230975080975e+62*d**10*exp(0.0141426*d) + 4.87436583603251e+62*d**10*exp(0.01791396*d) - 3.87740695878875e+64*d**9*exp(0.00659988*d) + 2.88996065328388e+65*d**9*exp(0.01037124*d) + 3.95495509796452e+65*d**9*exp(0.0141426*d) - 2.45569107389954e+65*d**9*exp(0.01791396*d) + 1.29246898626292e+65*d**9*exp(0.02168532*d) - 3.97539355581271e+67*d**8*exp(0.00659988*d) + 2.14972833593983e+68*d**8*exp(0.01037124*d) - 6.90895983492968e+67*d**8*exp(0.0141426*d) + 1.46678313955848e+68*d**8*exp(0.01791396*d) - 1.57644916868435e+68*d**8*exp(0.02168532*d) + 1.71353170509169e+67*d**8*exp(0.02545668*d) - 1.94099938593814e+70*d**7*exp(0.00659988*d) + 6.55993819433624e+70*d**7*exp(0.01037124*d) + 4.79579511199773e+70*d**7*exp(0.0141426*d) - 1.30781194580626e+71*d**7*exp(0.01791396*d) + 8.06932328985521e+70*d**7*exp(0.02168532*d) - 3.54395955297695e+70*d**7*exp(0.02545668*d) + 9.08707577686397e+68*d**7*exp(0.02922804*d) - 1.04880529680363e+73*d**6*exp(0.00659988*d) + 3.93376198769524e+73*d**6*exp(0.01037124*d) - 3.94166513365535e+73*d**6*exp(0.0141426*d) + 3.60306351917911e+73*d**6*exp(0.01791396*d) - 4.92211785588693e+73*d**6*exp(0.02168532*d) + 2.68899722301244e+73*d**6*exp(0.02545668*d) - 3.13234443540876e+72*d**6*exp(0.02922804*d) - 3.39059012020308e+75*d**5*exp(0.00659988*d) + 9.4482776405442e+75*d**5*exp(0.01037124*d) + 3.94519018285721e+74*d**5*exp(0.0141426*d) - 2.13624371462745e+76*d**5*exp(0.01791396*d) + 2.41895133678918e+76*d**5*exp(0.02168532*d) - 1.28315281573082e+76*d**5*exp(0.02545668*d) + 3.61613470276659e+75*d**5*exp(0.02922804*d) - 6.388930570259e+73*d**5*exp(0.0329994*d) - 1.17982847508478e+78*d**4*exp(0.00659988*d) + 4.52220600034793e+78*d**4*exp(0.01037124*d) - 6.93650672477247e+78*d**4*exp(0.0141426*d) + 7.14423980309102e+78*d**4*exp(0.01791396*d) - 7.47383717161315e+78*d**4*exp(0.02168532*d) + 5.86444791557947e+78*d**4*exp(0.02545668*d) - 2.07624658131534e+78*d**4*exp(0.02922804*d) + 1.3552523376732e+77*d**4*exp(0.0329994*d) - 2.45625471407234e+80*d**3*exp(0.00659988*d) + 7.99432714055753e+80*d**3*exp(0.01037124*d) - 4.3329437090939e+80*d**3*exp(0.0141426*d) - 1.46363342699966e+81*d**3*exp(0.01791396*d) + 2.79571463523065e+81*d**3*exp(0.02168532*d) - 2.10575544588449e+81*d**3*exp(0.02545668*d) + 7.68154564138727e+80*d**3*exp(0.02922804*d) - 1.1499319822436e+80*d**3*exp(0.0329994*d) - 5.65916210344313e+82*d**2*exp(0.00659988*d) + 2.75932938423055e+83*d**2*exp(0.01037124*d) - 5.795762568009e+83*d**2*exp(0.0141426*d) + 7.39593943863775e+83*d**2*exp(0.01791396*d) - 7.00565239702098e+83*d**2*exp(0.02168532*d) + 5.09324589309882e+83*d**2*exp(0.02545668*d) - 2.36904234261378e+83*d**2*exp(0.02922804*d) + 4.8785880202096e+82*d**2*exp(0.0329994*d) - 6.20922492071986e+84*d*exp(0.00659988*d) + 2.69066413231194e+85*d*exp(0.01037124*d) - 3.10461246035993e+85*d*exp(0.0141426*d) - 3.10461246035993e+85*d*exp(0.01791396*d) + 1.13835790213197e+86*d*exp(0.02168532*d) - 1.17975273493677e+86*d*exp(0.02545668*d) + 5.58830242864788e+85*d*exp(0.02922804*d) - 1.03487082011998e+85*d*exp(0.0329994*d) - 8.78088176250458e+86*exp(0.00659988*d) + 6.1466172337532e+87*exp(0.01037124*d) - 1.84398517012596e+88*exp(0.0141426*d) + 3.0733086168766e+88*exp(0.01791396*d) - 3.0733086168766e+88*exp(0.02168532*d) + 1.84398517012596e+88*exp(0.02545668*d) - 6.1466172337532e+87*exp(0.02922804*d) + 8.78088176250458e+86*exp(0.0329994*d)) + 6.98491930961609e+89*exp(0.0282852*d)/(6.93288669036025e+56*d**12*exp(0.01037124*d) + 5.51489650181387e+59*d**11*exp(0.01037124*d) + 9.19149416968978e+59*d**11*exp(0.0141426*d) - 4.87436583603251e+61*d**10*exp(0.00659988*d) + 6.62913753700421e+62*d**10*exp(0.01037124*d) + 1.46230975080975e+62*d**10*exp(0.0141426*d) + 4.87436583603251e+62*d**10*exp(0.01791396*d) - 3.87740695878875e+64*d**9*exp(0.00659988*d) + 2.88996065328388e+65*d**9*exp(0.01037124*d) + 3.95495509796452e+65*d**9*exp(0.0141426*d) - 2.45569107389954e+65*d**9*exp(0.01791396*d) + 1.29246898626292e+65*d**9*exp(0.02168532*d) - 3.97539355581271e+67*d**8*exp(0.00659988*d) + 2.14972833593983e+68*d**8*exp(0.01037124*d) - 6.90895983492968e+67*d**8*exp(0.0141426*d) + 1.46678313955848e+68*d**8*exp(0.01791396*d) - 1.57644916868435e+68*d**8*exp(0.02168532*d) + 1.71353170509169e+67*d**8*exp(0.02545668*d) - 1.94099938593814e+70*d**7*exp(0.00659988*d) + 6.55993819433624e+70*d**7*exp(0.01037124*d) + 4.79579511199773e+70*d**7*exp(0.0141426*d) - 1.30781194580626e+71*d**7*exp(0.01791396*d) + 8.06932328985521e+70*d**7*exp(0.02168532*d) - 3.54395955297695e+70*d**7*exp(0.02545668*d) + 9.08707577686397e+68*d**7*exp(0.02922804*d) - 1.04880529680363e+73*d**6*exp(0.00659988*d) + 3.93376198769524e+73*d**6*exp(0.01037124*d) - 3.94166513365535e+73*d**6*exp(0.0141426*d) + 3.60306351917911e+73*d**6*exp(0.01791396*d) - 4.92211785588693e+73*d**6*exp(0.02168532*d) + 2.68899722301244e+73*d**6*exp(0.02545668*d) - 3.13234443540876e+72*d**6*exp(0.02922804*d) - 3.39059012020308e+75*d**5*exp(0.00659988*d) + 9.4482776405442e+75*d**5*exp(0.01037124*d) + 3.94519018285721e+74*d**5*exp(0.0141426*d) - 2.13624371462745e+76*d**5*exp(0.01791396*d) + 2.41895133678918e+76*d**5*exp(0.02168532*d) - 1.28315281573082e+76*d**5*exp(0.02545668*d) + 3.61613470276659e+75*d**5*exp(0.02922804*d) - 6.388930570259e+73*d**5*exp(0.0329994*d) - 1.17982847508478e+78*d**4*exp(0.00659988*d) + 4.52220600034793e+78*d**4*exp(0.01037124*d) - 6.93650672477247e+78*d**4*exp(0.0141426*d) + 7.14423980309102e+78*d**4*exp(0.01791396*d) - 7.47383717161315e+78*d**4*exp(0.02168532*d) + 5.86444791557947e+78*d**4*exp(0.02545668*d) - 2.07624658131534e+78*d**4*exp(0.02922804*d) + 1.3552523376732e+77*d**4*exp(0.0329994*d) - 2.45625471407234e+80*d**3*exp(0.00659988*d) + 7.99432714055753e+80*d**3*exp(0.01037124*d) - 4.3329437090939e+80*d**3*exp(0.0141426*d) - 1.46363342699966e+81*d**3*exp(0.01791396*d) + 2.79571463523065e+81*d**3*exp(0.02168532*d) - 2.10575544588449e+81*d**3*exp(0.02545668*d) + 7.68154564138727e+80*d**3*exp(0.02922804*d) - 1.1499319822436e+80*d**3*exp(0.0329994*d) - 5.65916210344313e+82*d**2*exp(0.00659988*d) + 2.75932938423055e+83*d**2*exp(0.01037124*d) - 5.795762568009e+83*d**2*exp(0.0141426*d) + 7.39593943863775e+83*d**2*exp(0.01791396*d) - 7.00565239702098e+83*d**2*exp(0.02168532*d) + 5.09324589309882e+83*d**2*exp(0.02545668*d) - 2.36904234261378e+83*d**2*exp(0.02922804*d) + 4.8785880202096e+82*d**2*exp(0.0329994*d) - 6.20922492071986e+84*d*exp(0.00659988*d) + 2.69066413231194e+85*d*exp(0.01037124*d) - 3.10461246035993e+85*d*exp(0.0141426*d) - 3.10461246035993e+85*d*exp(0.01791396*d) + 1.13835790213197e+86*d*exp(0.02168532*d) - 1.17975273493677e+86*d*exp(0.02545668*d) + 5.58830242864788e+85*d*exp(0.02922804*d) - 1.03487082011998e+85*d*exp(0.0329994*d) - 8.78088176250458e+86*exp(0.00659988*d) + 6.1466172337532e+87*exp(0.01037124*d) - 1.84398517012596e+88*exp(0.0141426*d) + 3.0733086168766e+88*exp(0.01791396*d) - 3.0733086168766e+88*exp(0.02168532*d) + 1.84398517012596e+88*exp(0.02545668*d) - 6.1466172337532e+87*exp(0.02922804*d) + 8.78088176250458e+86*exp(0.0329994*d)) - 1.16415321826935e+89*exp(0.03205656*d)/(6.93288669036025e+56*d**12*exp(0.01037124*d) + 5.51489650181387e+59*d**11*exp(0.01037124*d) + 9.19149416968978e+59*d**11*exp(0.0141426*d) - 4.87436583603251e+61*d**10*exp(0.00659988*d) + 6.62913753700421e+62*d**10*exp(0.01037124*d) + 1.46230975080975e+62*d**10*exp(0.0141426*d) + 4.87436583603251e+62*d**10*exp(0.01791396*d) - 3.87740695878875e+64*d**9*exp(0.00659988*d) + 2.88996065328388e+65*d**9*exp(0.01037124*d) + 3.95495509796452e+65*d**9*exp(0.0141426*d) - 2.45569107389954e+65*d**9*exp(0.01791396*d) + 1.29246898626292e+65*d**9*exp(0.02168532*d) - 3.97539355581271e+67*d**8*exp(0.00659988*d) + 2.14972833593983e+68*d**8*exp(0.01037124*d) - 6.90895983492968e+67*d**8*exp(0.0141426*d) + 1.46678313955848e+68*d**8*exp(0.01791396*d) - 1.57644916868435e+68*d**8*exp(0.02168532*d) + 1.71353170509169e+67*d**8*exp(0.02545668*d) - 1.94099938593814e+70*d**7*exp(0.00659988*d) + 6.55993819433624e+70*d**7*exp(0.01037124*d) + 4.79579511199773e+70*d**7*exp(0.0141426*d) - 1.30781194580626e+71*d**7*exp(0.01791396*d) + 8.06932328985521e+70*d**7*exp(0.02168532*d) - 3.54395955297695e+70*d**7*exp(0.02545668*d) + 9.08707577686397e+68*d**7*exp(0.02922804*d) - 1.04880529680363e+73*d**6*exp(0.00659988*d) + 3.93376198769524e+73*d**6*exp(0.01037124*d) - 3.94166513365535e+73*d**6*exp(0.0141426*d) + 3.60306351917911e+73*d**6*exp(0.01791396*d) - 4.92211785588693e+73*d**6*exp(0.02168532*d) + 2.68899722301244e+73*d**6*exp(0.02545668*d) - 3.13234443540876e+72*d**6*exp(0.02922804*d) - 3.39059012020308e+75*d**5*exp(0.00659988*d) + 9.4482776405442e+75*d**5*exp(0.01037124*d) + 3.94519018285721e+74*d**5*exp(0.0141426*d) - 2.13624371462745e+76*d**5*exp(0.01791396*d) + 2.41895133678918e+76*d**5*exp(0.02168532*d) - 1.28315281573082e+76*d**5*exp(0.02545668*d) + 3.61613470276659e+75*d**5*exp(0.02922804*d) - 6.388930570259e+73*d**5*exp(0.0329994*d) - 1.17982847508478e+78*d**4*exp(0.00659988*d) + 4.52220600034793e+78*d**4*exp(0.01037124*d) - 6.93650672477247e+78*d**4*exp(0.0141426*d) + 7.14423980309102e+78*d**4*exp(0.01791396*d) - 7.47383717161315e+78*d**4*exp(0.02168532*d) + 5.86444791557947e+78*d**4*exp(0.02545668*d) - 2.07624658131534e+78*d**4*exp(0.02922804*d) + 1.3552523376732e+77*d**4*exp(0.0329994*d) - 2.45625471407234e+80*d**3*exp(0.00659988*d) + 7.99432714055753e+80*d**3*exp(0.01037124*d) - 4.3329437090939e+80*d**3*exp(0.0141426*d) - 1.46363342699966e+81*d**3*exp(0.01791396*d) + 2.79571463523065e+81*d**3*exp(0.02168532*d) - 2.10575544588449e+81*d**3*exp(0.02545668*d) + 7.68154564138727e+80*d**3*exp(0.02922804*d) - 1.1499319822436e+80*d**3*exp(0.0329994*d) - 5.65916210344313e+82*d**2*exp(0.00659988*d) + 2.75932938423055e+83*d**2*exp(0.01037124*d) - 5.795762568009e+83*d**2*exp(0.0141426*d) + 7.39593943863775e+83*d**2*exp(0.01791396*d) - 7.00565239702098e+83*d**2*exp(0.02168532*d) + 5.09324589309882e+83*d**2*exp(0.02545668*d) - 2.36904234261378e+83*d**2*exp(0.02922804*d) + 4.8785880202096e+82*d**2*exp(0.0329994*d) - 6.20922492071986e+84*d*exp(0.00659988*d) + 2.69066413231194e+85*d*exp(0.01037124*d) - 3.10461246035993e+85*d*exp(0.0141426*d) - 3.10461246035993e+85*d*exp(0.01791396*d) + 1.13835790213197e+86*d*exp(0.02168532*d) - 1.17975273493677e+86*d*exp(0.02545668*d) + 5.58830242864788e+85*d*exp(0.02922804*d) - 1.03487082011998e+85*d*exp(0.0329994*d) - 8.78088176250458e+86*exp(0.00659988*d) + 6.1466172337532e+87*exp(0.01037124*d) - 1.84398517012596e+88*exp(0.0141426*d) + 3.0733086168766e+88*exp(0.01791396*d) - 3.0733086168766e+88*exp(0.02168532*d) + 1.84398517012596e+88*exp(0.02545668*d) - 6.1466172337532e+87*exp(0.02922804*d) + 8.78088176250458e+86*exp(0.0329994*d)),
 C3: -3.10172186516957e+47*d**8*exp(0.00754272*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 3.28976482241904e+49*d**7*exp(0.00754272*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 1.64488241120952e+50*d**7*exp(0.01131408*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 1.25611486155748e+53*d**6*exp(0.00754272*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) + 2.09352476926247e+53*d**6*exp(0.01131408*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 1.19348941864853e+55*d**5*exp(0.00754272*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 2.08166759066603e+55*d**5*exp(0.01131408*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) + 1.04083379533302e+56*d**5*exp(0.01508544*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) + 1.15648199481446e+55*d**5*exp(0.0188568*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 2.32341457148356e+58*d**4*exp(0.00754272*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) + 6.31450650089608e+58*d**4*exp(0.01131408*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 3.49579322602056e+58*d**4*exp(0.01508544*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) + 8.58615880075224e+57*d**4*exp(0.0188568*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) + 1.53324264299147e+57*d**4*exp(0.02262816*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 2.34952799053294e+60*d**3*exp(0.00754272*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 9.67911863209584e+59*d**3*exp(0.01131408*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) + 1.60017687062875e+61*d**3*exp(0.01508544*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 1.1708611248503e+61*d**3*exp(0.0188568*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 9.75717604041919e+59*d**3*exp(0.02262816*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 2.18012786105275e+63*d**2*exp(0.00754272*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) + 6.95433191120625e+63*d**2*exp(0.01131408*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 7.78222856730223e+63*d**2*exp(0.01508544*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) + 3.42197284519672e+63*d**2*exp(0.0188568*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 4.13948328047991e+62*d**2*exp(0.02262816*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 1.52201950550079e+65*d*exp(0.00754272*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) + 4.68313694000244e+64*d*exp(0.01131408*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) + 7.72717595100403e+65*d*exp(0.01508544*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 1.07712149620056e+66*d*exp(0.0188568*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) + 4.09774482250214e+65*d*exp(0.02262816*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 7.45058059692383e+67*exp(0.00754272*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) + 2.98023223876953e+68*exp(0.01131408*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 4.4703483581543e+68*exp(0.01508544*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) + 2.98023223876953e+68*exp(0.0188568*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)) - 7.45058059692383e+67*exp(0.02262816*d)/(1.7646509892443e+43*d**8*exp(0.00848556*d) + 8.42235103686665e+45*d**7*exp(0.00848556*d) + 1.40372517281111e+46*d**7*exp(0.01225692*d) - 1.24068874606783e+48*d**6*exp(0.0047142*d) + 9.77662731901448e+48*d**6*exp(0.00848556*d) - 2.72951524134922e+48*d**6*exp(0.01225692*d) + 3.72206623820348e+48*d**6*exp(0.01602828*d) - 5.92157668035428e+50*d**5*exp(0.0047142*d) + 2.16334934722276e+51*d**5*exp(0.00848556*d) + 3.00026551804617e+51*d**5*exp(0.01225692*d) - 3.55294600821257e+51*d**5*exp(0.01602828*d) + 3.28976482241904e+50*d**5*exp(0.01979964*d) - 5.12913568469305e+53*d**4*exp(0.0047142*d) + 1.95116508495262e+54*d**4*exp(0.00848556*d) - 1.97210033264524e+54*d**4*exp(0.01225692*d) + 1.21424436617223e+54*d**4*exp(0.01602828*d) - 6.80395550010302e+53*d**4*exp(0.01979964*d) - 1.38222728020225e+56*d**3*exp(0.0047142*d) + 2.69229008392807e+56*d**3*exp(0.00848556*d) + 2.34256992869618e+56*d**3*exp(0.01225692*d) - 7.46439738733047e+56*d**3*exp(0.01602828*d) + 4.04306105387136e+56*d**3*exp(0.01979964*d) - 2.31296398962893e+55*d**3*exp(0.023571*d) - 5.76989871410551e+58*d**2*exp(0.0047142*d) + 2.09992912384112e+59*d**2*exp(0.00848556*d) - 3.13223073051442e+59*d**2*exp(0.01225692*d) + 2.56701616260204e+59*d**2*exp(0.01602828*d) - 1.25210727197256e+59*d**2*exp(0.01979964*d) + 2.94382587454363e+58*d**2*exp(0.023571*d) - 7.49351119904194e+60*d*exp(0.0047142*d) + 1.74848594644312e+61*d*exp(0.00848556*d) + 4.99567413269463e+60*d*exp(0.01225692*d) - 4.49610671942516e+61*d*exp(0.01602828*d) + 4.24632301279043e+61*d*exp(0.01979964*d) - 1.24891853317366e+61*d*exp(0.023571*d) - 1.76617953300476e+63*exp(0.0047142*d) + 8.8308976650238e+63*exp(0.00848556*d) - 1.76617953300476e+64*exp(0.01225692*d) + 1.76617953300476e+64*exp(0.01602828*d) - 8.8308976650238e+63*exp(0.01979964*d) + 1.76617953300476e+63*exp(0.023571*d)),
 C4: -1.00482589851089e+30*d**4*exp(0.00659988*d)/(5.71671830326605e+25*d**4*exp(0.00565704*d) + 9.09494448145928e+27*d**3*exp(0.00565704*d) + 1.51582408024321e+28*d**3*exp(0.0094284*d) - 4.01930359404356e+30*d**2*exp(0.00188568*d) + 1.44694929385568e+31*d**2*exp(0.00565704*d) - 1.04501893445133e+31*d**2*exp(0.0094284*d) - 6.39446288984912e+32*d*exp(0.00188568*d) + 2.13148762994971e+32*d*exp(0.00565704*d) + 1.49204134096479e+33*d*exp(0.0094284*d) - 1.06574381497485e+33*d*exp(0.01319976*d) - 4.52141960449219e+35*exp(0.00188568*d) + 1.35642588134766e+36*exp(0.00565704*d) - 1.35642588134766e+36*exp(0.0094284*d) + 4.52141960449219e+35*exp(0.01319976*d)) - 2.66435953743713e+32*d**3*exp(0.00282852*d)/(5.71671830326605e+25*d**4*exp(0.00565704*d) + 9.09494448145928e+27*d**3*exp(0.00565704*d) + 1.51582408024321e+28*d**3*exp(0.0094284*d) - 4.01930359404356e+30*d**2*exp(0.00188568*d) + 1.44694929385568e+31*d**2*exp(0.00565704*d) - 1.04501893445133e+31*d**2*exp(0.0094284*d) - 6.39446288984912e+32*d*exp(0.00188568*d) + 2.13148762994971e+32*d*exp(0.00565704*d) + 1.49204134096479e+33*d*exp(0.0094284*d) - 1.06574381497485e+33*d*exp(0.01319976*d) - 4.52141960449219e+35*exp(0.00188568*d) + 1.35642588134766e+36*exp(0.00565704*d) - 1.35642588134766e+36*exp(0.0094284*d) + 4.52141960449219e+35*exp(0.01319976*d)) - 5.32871907487427e+32*d**3*exp(0.00659988*d)/(5.71671830326605e+25*d**4*exp(0.00565704*d) + 9.09494448145928e+27*d**3*exp(0.00565704*d) + 1.51582408024321e+28*d**3*exp(0.0094284*d) - 4.01930359404356e+30*d**2*exp(0.00188568*d) + 1.44694929385568e+31*d**2*exp(0.00565704*d) - 1.04501893445133e+31*d**2*exp(0.0094284*d) - 6.39446288984912e+32*d*exp(0.00188568*d) + 2.13148762994971e+32*d*exp(0.00565704*d) + 1.49204134096479e+33*d*exp(0.0094284*d) - 1.06574381497485e+33*d*exp(0.01319976*d) - 4.52141960449219e+35*exp(0.00188568*d) + 1.35642588134766e+36*exp(0.00565704*d) - 1.35642588134766e+36*exp(0.0094284*d) + 4.52141960449219e+35*exp(0.01319976*d)) - 2.66435953743713e+32*d**3*exp(0.01037124*d)/(5.71671830326605e+25*d**4*exp(0.00565704*d) + 9.09494448145928e+27*d**3*exp(0.00565704*d) + 1.51582408024321e+28*d**3*exp(0.0094284*d) - 4.01930359404356e+30*d**2*exp(0.00188568*d) + 1.44694929385568e+31*d**2*exp(0.00565704*d) - 1.04501893445133e+31*d**2*exp(0.0094284*d) - 6.39446288984912e+32*d*exp(0.00188568*d) + 2.13148762994971e+32*d*exp(0.00565704*d) + 1.49204134096479e+33*d*exp(0.0094284*d) - 1.06574381497485e+33*d*exp(0.01319976*d) - 4.52141960449219e+35*exp(0.00188568*d) + 1.35642588134766e+36*exp(0.00565704*d) - 1.35642588134766e+36*exp(0.0094284*d) + 4.52141960449219e+35*exp(0.01319976*d)) + 1.27164926376343e+35*d**2*exp(0.00282852*d)/(5.71671830326605e+25*d**4*exp(0.00565704*d) + 9.09494448145928e+27*d**3*exp(0.00565704*d) + 1.51582408024321e+28*d**3*exp(0.0094284*d) - 4.01930359404356e+30*d**2*exp(0.00188568*d) + 1.44694929385568e+31*d**2*exp(0.00565704*d) - 1.04501893445133e+31*d**2*exp(0.0094284*d) - 6.39446288984912e+32*d*exp(0.00188568*d) + 2.13148762994971e+32*d*exp(0.00565704*d) + 1.49204134096479e+33*d*exp(0.0094284*d) - 1.06574381497485e+33*d*exp(0.01319976*d) - 4.52141960449219e+35*exp(0.00188568*d) + 1.35642588134766e+36*exp(0.00565704*d) - 1.35642588134766e+36*exp(0.0094284*d) + 4.52141960449219e+35*exp(0.01319976*d)) - 4.12579538909912e+35*d**2*exp(0.00659988*d)/(5.71671830326605e+25*d**4*exp(0.00565704*d) + 9.09494448145928e+27*d**3*exp(0.00565704*d) + 1.51582408024321e+28*d**3*exp(0.0094284*d) - 4.01930359404356e+30*d**2*exp(0.00188568*d) + 1.44694929385568e+31*d**2*exp(0.00565704*d) - 1.04501893445133e+31*d**2*exp(0.0094284*d) - 6.39446288984912e+32*d*exp(0.00188568*d) + 2.13148762994971e+32*d*exp(0.00565704*d) + 1.49204134096479e+33*d*exp(0.0094284*d) - 1.06574381497485e+33*d*exp(0.01319976*d) - 4.52141960449219e+35*exp(0.00188568*d) + 1.35642588134766e+36*exp(0.00565704*d) - 1.35642588134766e+36*exp(0.0094284*d) + 4.52141960449219e+35*exp(0.01319976*d)) + 1.41294362640381e+34*d**2*exp(0.01037124*d)/(5.71671830326605e+25*d**4*exp(0.00565704*d) + 9.09494448145928e+27*d**3*exp(0.00565704*d) + 1.51582408024321e+28*d**3*exp(0.0094284*d) - 4.01930359404356e+30*d**2*exp(0.00188568*d) + 1.44694929385568e+31*d**2*exp(0.00565704*d) - 1.04501893445133e+31*d**2*exp(0.0094284*d) - 6.39446288984912e+32*d*exp(0.00188568*d) + 2.13148762994971e+32*d*exp(0.00565704*d) + 1.49204134096479e+33*d*exp(0.0094284*d) - 1.06574381497485e+33*d*exp(0.01319976*d) - 4.52141960449219e+35*exp(0.00188568*d) + 1.35642588134766e+36*exp(0.00565704*d) - 1.35642588134766e+36*exp(0.0094284*d) + 4.52141960449219e+35*exp(0.01319976*d)) - 2.99720764160156e+36*d*exp(0.00282852*d)/(5.71671830326605e+25*d**4*exp(0.00565704*d) + 9.09494448145928e+27*d**3*exp(0.00565704*d) + 1.51582408024321e+28*d**3*exp(0.0094284*d) - 4.01930359404356e+30*d**2*exp(0.00188568*d) + 1.44694929385568e+31*d**2*exp(0.00565704*d) - 1.04501893445133e+31*d**2*exp(0.0094284*d) - 6.39446288984912e+32*d*exp(0.00188568*d) + 2.13148762994971e+32*d*exp(0.00565704*d) + 1.49204134096479e+33*d*exp(0.0094284*d) - 1.06574381497485e+33*d*exp(0.01319976*d) - 4.52141960449219e+35*exp(0.00188568*d) + 1.35642588134766e+36*exp(0.00565704*d) - 1.35642588134766e+36*exp(0.0094284*d) + 4.52141960449219e+35*exp(0.01319976*d)) + 5.99441528320312e+36*d*exp(0.00659988*d)/(5.71671830326605e+25*d**4*exp(0.00565704*d) + 9.09494448145928e+27*d**3*exp(0.00565704*d) + 1.51582408024321e+28*d**3*exp(0.0094284*d) - 4.01930359404356e+30*d**2*exp(0.00188568*d) + 1.44694929385568e+31*d**2*exp(0.00565704*d) - 1.04501893445133e+31*d**2*exp(0.0094284*d) - 6.39446288984912e+32*d*exp(0.00188568*d) + 2.13148762994971e+32*d*exp(0.00565704*d) + 1.49204134096479e+33*d*exp(0.0094284*d) - 1.06574381497485e+33*d*exp(0.01319976*d) - 4.52141960449219e+35*exp(0.00188568*d) + 1.35642588134766e+36*exp(0.00565704*d) - 1.35642588134766e+36*exp(0.0094284*d) + 4.52141960449219e+35*exp(0.01319976*d)) - 2.99720764160156e+36*d*exp(0.01037124*d)/(5.71671830326605e+25*d**4*exp(0.00565704*d) + 9.09494448145928e+27*d**3*exp(0.00565704*d) + 1.51582408024321e+28*d**3*exp(0.0094284*d) - 4.01930359404356e+30*d**2*exp(0.00188568*d) + 1.44694929385568e+31*d**2*exp(0.00565704*d) - 1.04501893445133e+31*d**2*exp(0.0094284*d) - 6.39446288984912e+32*d*exp(0.00188568*d) + 2.13148762994971e+32*d*exp(0.00565704*d) + 1.49204134096479e+33*d*exp(0.0094284*d) - 1.06574381497485e+33*d*exp(0.01319976*d) - 4.52141960449219e+35*exp(0.00188568*d) + 1.35642588134766e+36*exp(0.00565704*d) - 1.35642588134766e+36*exp(0.0094284*d) + 4.52141960449219e+35*exp(0.01319976*d)) + 1.9073486328125e+40*exp(0.00282852*d)/(5.71671830326605e+25*d**4*exp(0.00565704*d) + 9.09494448145928e+27*d**3*exp(0.00565704*d) + 1.51582408024321e+28*d**3*exp(0.0094284*d) - 4.01930359404356e+30*d**2*exp(0.00188568*d) + 1.44694929385568e+31*d**2*exp(0.00565704*d) - 1.04501893445133e+31*d**2*exp(0.0094284*d) - 6.39446288984912e+32*d*exp(0.00188568*d) + 2.13148762994971e+32*d*exp(0.00565704*d) + 1.49204134096479e+33*d*exp(0.0094284*d) - 1.06574381497485e+33*d*exp(0.01319976*d) - 4.52141960449219e+35*exp(0.00188568*d) + 1.35642588134766e+36*exp(0.00565704*d) - 1.35642588134766e+36*exp(0.0094284*d) + 4.52141960449219e+35*exp(0.01319976*d)) - 3.814697265625e+40*exp(0.00659988*d)/(5.71671830326605e+25*d**4*exp(0.00565704*d) + 9.09494448145928e+27*d**3*exp(0.00565704*d) + 1.51582408024321e+28*d**3*exp(0.0094284*d) - 4.01930359404356e+30*d**2*exp(0.00188568*d) + 1.44694929385568e+31*d**2*exp(0.00565704*d) - 1.04501893445133e+31*d**2*exp(0.0094284*d) - 6.39446288984912e+32*d*exp(0.00188568*d) + 2.13148762994971e+32*d*exp(0.00565704*d) + 1.49204134096479e+33*d*exp(0.0094284*d) - 1.06574381497485e+33*d*exp(0.01319976*d) - 4.52141960449219e+35*exp(0.00188568*d) + 1.35642588134766e+36*exp(0.00565704*d) - 1.35642588134766e+36*exp(0.0094284*d) + 4.52141960449219e+35*exp(0.01319976*d)) + 1.9073486328125e+40*exp(0.01037124*d)/(5.71671830326605e+25*d**4*exp(0.00565704*d) + 9.09494448145928e+27*d**3*exp(0.00565704*d) + 1.51582408024321e+28*d**3*exp(0.0094284*d) - 4.01930359404356e+30*d**2*exp(0.00188568*d) + 1.44694929385568e+31*d**2*exp(0.00565704*d) - 1.04501893445133e+31*d**2*exp(0.0094284*d) - 6.39446288984912e+32*d*exp(0.00188568*d) + 2.13148762994971e+32*d*exp(0.00565704*d) + 1.49204134096479e+33*d*exp(0.0094284*d) - 1.06574381497485e+33*d*exp(0.01319976*d) - 4.52141960449219e+35*exp(0.00188568*d) + 1.35642588134766e+36*exp(0.00565704*d) - 1.35642588134766e+36*exp(0.0094284*d) + 4.52141960449219e+35*exp(0.01319976*d))}
d
\[\displaystyle d\]
u_x = u_x.subs(sol_params)
u_x = u_x.subs({d : 5000})
u_x
u_z = u_z.subs(sol_params)
u_z = u_z.subs({d : 5000})
u_z
\[\displaystyle \left(\frac{3.57929203816332 \cdot 10^{-6} z}{\left(e^{- 0.00188568 z}\right)^{1.0}} - 0.00224176464844764 z e^{- 0.00188568 z} - \frac{0.0110839842356068}{\left(e^{- 0.00188568 z}\right)^{1.0}} - 7.50654817697734 e^{- 0.00188568 z}\right) \cos{\left(0.00188568 x \right)}\]
sigma_xx = E/(1-v**2) * (diff(u_x,x).subs({x : 0}) + v*diff(u_z,z).subs({x : 0}))

sigma_xx
\[\displaystyle - \frac{2.69975976420953 \cdot 10^{-5} z}{\left(e^{- 0.00188568 z}\right)^{1.0}} - 0.016909003049139 z e^{- 0.00188568 z} + \frac{0.0463787523766977}{\left(e^{- 0.00188568 z}\right)^{1.0}} - 33.305438721595 e^{- 0.00188568 z}\]
d_2 = 5000/2
plot(sigma_xx, (z, -d_2, d_2))
../_images/2f89650417783884ff78d67a41960238766cd9a16be19bdbd9ad963f3abd59c4.png
<sympy.plotting.plot.Plot at 0x2997bfb0ee0>
plot((z, -d_2, d_2), sigma_xx)
---------------------------------------------------------------------------
TypeError                                 Traceback (most recent call last)
~\AppData\Local\Temp\ipykernel_12964\619479844.py in <module>
----> 1 plot((z, -2500, 2500), sigma_xx)

~\anaconda3\envs\bfem\lib\site-packages\sympy\plotting\plot.py in plot(show, *args, **kwargs)
   1867     series = []
   1868     plot_expr = check_arguments(args, 1, 1)
-> 1869     series = [LineOver1DRangeSeries(*arg, **kwargs) for arg in plot_expr]
   1870 
   1871     plots = Plot(*series, **kwargs)

TypeError: 'NoneType' object is not iterable