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gtil = amp*(exp(-((-eta0 + etagrd(i))**2/sigma**2)) + exp(-((eta0 +
& etagrd(i))**2/sigma**2)))
dngtil = amp*((-2.00000000000000d0*(-eta0 + etagrd(i))*exp(-((-eta0
& + etagrd(i))**2/sigma**2)))/sigma**2 - (2.00000000000000d0*(eta0 +
& etagrd(i))*exp(-((eta0 + etagrd(i))**2/sigma**2)))/sigma**2)
dnngtil = amp*((4.0000000000000d0*(-eta0 + etagrd(i))**2*exp(-((-et
& a0 + etagrd(i))**2/sigma**2)))/sigma**4 - (2.00000000000000d0*exp(-
& ((-eta0 + etagrd(i))**2/sigma**2)))/sigma**2 + (4.0000000000000d0*(
& eta0 + etagrd(i))**2*exp(-((eta0 + etagrd(i))**2/sigma**2)))/sigma**4
& - (2.00000000000000d0*exp(-((eta0 + etagrd(i))**2/sigma**2)))/sigma
& **2)
dnnngtil = amp*((-8.0000000000000d0*(-eta0 + etagrd(i))**3*exp(-((-
& eta0 + etagrd(i))**2/sigma**2)))/sigma**6 + (1.20000000000000d1*(-e
& ta0 + etagrd(i))*exp(-((-eta0 + etagrd(i))**2/sigma**2)))/sigma**4 - (
& 8.0000000000000d0*(eta0 + etagrd(i))**3*exp(-((eta0 + etagrd(i))**2/si
& gma**2)))/sigma**6 + (1.20000000000000d1*(eta0 + etagrd(i))*exp(-((
& eta0 + etagrd(i))**2/sigma**2)))/sigma**4)
dnnnngtil = amp*((1.60000000000000d1*(-eta0 + etagrd(i))**4*exp(-((
& -eta0 + etagrd(i))**2/sigma**2)))/sigma**8 - (4.8000000000000d1*(-e
& ta0 + etagrd(i))**2*exp(-((-eta0 + etagrd(i))**2/sigma**2)))/sigma**6
& + (1.20000000000000d1*exp(-((-eta0 + etagrd(i))**2/sigma**2)))/sigm
& a**4 + (1.60000000000000d1*(eta0 + etagrd(i))**4*exp(-((eta0 + etag
& rd(i))**2/sigma**2)))/sigma**8 - (4.8000000000000d1*(eta0 + etagrd(i))
& **2*exp(-((eta0 + etagrd(i))**2/sigma**2)))/sigma**6 + (1.200000000
& 00000d1*exp(-((eta0 + etagrd(i))**2/sigma**2)))/sigma**4)
dnnnnngtil = amp*((-3.2000000000000d1*(-eta0 + etagrd(i))**5*exp(-(
& (-eta0 + etagrd(i))**2/sigma**2)))/sigma**10 + (1.60000000000000d2*
& (-eta0 + etagrd(i))**3*exp(-((-eta0 + etagrd(i))**2/sigma**2)))/sigma*
& *8 - (1.20000000000000d2*(-eta0 + etagrd(i))*exp(-((-eta0 + etagrd(i))
& **2/sigma**2)))/sigma**6 - (3.2000000000000d1*(eta0 + etagrd(i))**5
& *exp(-((eta0 + etagrd(i))**2/sigma**2)))/sigma**10 + (1.60000000000
& 000d2*(eta0 + etagrd(i))**3*exp(-((eta0 + etagrd(i))**2/sigma**2)))/si
& gma**8 - (1.20000000000000d2*(eta0 + etagrd(i))*exp(-((eta0 + etagr
& d(i))**2/sigma**2)))/sigma**6)
dnnnnnngtil = amp*((6.4000000000000d1*(-eta0 + etagrd(i))**6*exp(-(
& (-eta0 + etagrd(i))**2/sigma**2)))/sigma**12 - (4.8000000000000d2*(
& -eta0 + etagrd(i))**4*exp(-((-eta0 + etagrd(i))**2/sigma**2)))/sigma**
& 10 + (7.2000000000000d2*(-eta0 + etagrd(i))**2*exp(-((-eta0 + etagr
& d(i))**2/sigma**2)))/sigma**8 - (1.20000000000000d2*exp(-((-eta0 +
& etagrd(i))**2/sigma**2)))/sigma**6 + (6.4000000000000d1*(eta0 + eta
& grd(i))**6*exp(-((eta0 + etagrd(i))**2/sigma**2)))/sigma**12 - (4.8000
& 000000000d2*(eta0 + etagrd(i))**4*exp(-((eta0 + etagrd(i))**2/sigma**2
& )))/sigma**10 + (7.2000000000000d2*(eta0 + etagrd(i))**2*exp(-((eta
& 0 + etagrd(i))**2/sigma**2)))/sigma**8 - (1.20000000000000d2*exp(-(
& (eta0 + etagrd(i))**2/sigma**2)))/sigma**6)
dnnnnnnngtil = amp*((-1.28000000000000d2*(-eta0 + etagrd(i))**7*exp
& (-((-eta0 + etagrd(i))**2/sigma**2)))/sigma**14 + (1.34400000000000
& d3*(-eta0 + etagrd(i))**5*exp(-((-eta0 + etagrd(i))**2/sigma**2)))/sig
& ma**12 - (3.3600000000000d3*(-eta0 + etagrd(i))**3*exp(-((-eta0 + e
& tagrd(i))**2/sigma**2)))/sigma**10 + (1.68000000000000d3*(-eta0 + e
& tagrd(i))*exp(-((-eta0 + etagrd(i))**2/sigma**2)))/sigma**8 - (1.28000
& 000000000d2*(eta0 + etagrd(i))**7*exp(-((eta0 + etagrd(i))**2/sigma**2
& )))/sigma**14 + (1.34400000000000d3*(eta0 + etagrd(i))**5*exp(-((et
& a0 + etagrd(i))**2/sigma**2)))/sigma**12 - (3.3600000000000d3*(eta0
& + etagrd(i))**3*exp(-((eta0 + etagrd(i))**2/sigma**2)))/sigma**10 + (
& 1.68000000000000d3*(eta0 + etagrd(i))*exp(-((eta0 + etagrd(i))**2/sigm
& a**2)))/sigma**8)
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