((-b/2 - (2*a*n*np.log(-r**2 + 1) + b**2)**0.5/2)/a)**0.5
0.5*a*n*r*((-b/2 - (2*a*n*np.log(-r**2 + 1) + b**2)**0.5/2)/a)**0.5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/((-b/2 - (2*a*n*np.log(-r**2 + 1) + b**2)**0.5/2)*(-r**2 + 1))
a*n*(-(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)/a)**0.5*(-1.4142135623731*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1) - 0.707106781186548*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 1.4142135623731*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1) + 0.707106781186548*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5))/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1))
a*n*r*(-(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)/a)**0.5*(8.48528137423857*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1) + 4.24264068711929*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 2.12132034355964*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 8.48528137423857*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1) + 4.24264068711929*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 4.24264068711929*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5) - 2.12132034355964*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 5.65685424949238*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1) - 4.24264068711929*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5))/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2)
a*n*(-(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)/a)**0.5*(-84.8528137423857*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**2 - 42.4264068711929*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 25.4558441227157*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 10.6066017177982*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 101.823376490863*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**2 - 50.9116882454314*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 25.4558441227157*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 50.9116882454314*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1) + 25.4558441227157*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 12.7279220613579*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 62.2253967444162*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**2 - 31.1126983722081*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 50.9116882454314*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1) + 25.4558441227157*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 4.24264068711929*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5) - 2.12132034355964*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) - 33.9411254969543*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**2 + 33.9411254969543*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1) - 4.24264068711929*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5))/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2)
a*n*r*(-(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)/a)**0.5*(1187.9393923934*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**2 + 593.9696961967*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 381.837661840736*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 212.132034355964*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) + 74.2462120245875*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) + 1697.05627484771*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**2 + 848.528137423857*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 509.116882454314*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 212.132034355964*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 848.528137423857*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1) - 424.264068711929*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 254.558441227157*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 106.066017177982*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) + 1187.9393923934*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**2 + 593.9696961967*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 296.98484809835*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 1018.23376490863*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1) - 509.116882454314*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 254.558441227157*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 127.279220613579*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5) + 63.6396103067893*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 31.8198051533946*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 + 565.685424949238*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**2 + 282.842712474619*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 622.253967444162*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1) - 311.126983722081*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 127.279220613579*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5) + 63.6396103067893*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 271.529003975634*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**2 - 339.411254969543*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1) + 84.8528137423857*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5))/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3)
a*n*(-(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)/a)**0.5*(-21382.9090630812*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**3 - 10691.4545315406*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 7127.6363543604*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 4454.77272147525*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 2227.38636073762*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) - 668.215908221287*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) - 35638.181771802*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**3 - 17819.090885901*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 11455.1298552221*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 6363.96103067893*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 2227.38636073762*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) + 17819.090885901*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**2 + 8909.5454429505*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 5727.56492761104*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 3181.98051533946*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) + 1113.69318036881*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) - 28849.9566724111*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**3 - 14424.9783362056*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 8654.98700172334*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 3606.24458405139*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 25455.8441227157*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**2 + 12727.9220613579*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 7636.75323681471*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 3181.98051533946*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 3818.37661840736*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1) - 1909.18830920368*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 1145.51298552221*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 477.29707730092*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) - 15273.5064736294*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**3 - 7636.75323681471*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 3818.37661840736*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 17819.090885901*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**2 + 8909.5454429505*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 4454.77272147525*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 4582.05194208883*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1) - 2291.02597104441*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 1145.51298552221*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 127.279220613579*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5) + 63.6396103067893*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 31.8198051533946*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 - 6199.91225744365*a*n*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**3 - 3099.95612872182*a*n*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 8485.28137423857*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**2 + 4242.64068711929*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 2800.14285349873*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1) - 1400.07142674936*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 127.279220613579*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5) + 63.6396103067893*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) - 2715.29003975634*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**3 + 4072.93505963451*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**2 - 1527.35064736294*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1) + 84.8528137423857*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5))/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3)
a*n*r*(-(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)/a)**0.5*(470423.999387786*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**3 + 235211.999693893*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 160371.817973109*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 106914.545315406*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 62366.8181006535*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) + 28065.0681452941*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) + 7350.37499043416*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**3) + 898082.18064941*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**3 + 449041.090324705*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 299360.726883137*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 187100.45430196*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 93550.2271509802*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) + 28065.0681452941*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) - 449041.090324705*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**2 - 224520.545162353*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 149680.363441568*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 93550.2271509802*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 46775.1135754901*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) - 14032.534072647*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**2) + 831557.57467538*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**3 + 415778.78733769*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 267286.363288515*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 148492.424049175*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 51972.3484172112*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) - 748401.817207842*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**2 - 374200.908603921*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 240557.726959663*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 133643.181644257*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 46775.1135754901*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) + 124733.636201307*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1) + 62366.8181006535*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 40092.9544932772*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 22273.8636073763*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) + 7795.85226258169*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)) + 498934.544805228*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**3 + 249467.272402614*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 149680.363441568*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 62366.8181006535*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 605849.090120634*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**2 - 302924.545060317*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 181754.72703619*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 75731.1362650792*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) + 178190.90885901*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1) + 89095.454429505*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 53457.272657703*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 22273.8636073763*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) - 8909.5454429505*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5) - 4454.77272147525*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) - 2672.86363288515*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 - 1113.69318036881*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3 + 220481.551228215*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**3 + 110240.775614108*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 55120.3878070538*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 320743.635946218*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**2 - 160371.817973109*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 80185.9089865545*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 124733.636201307*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1) + 62366.8181006535*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 31183.4090503267*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 10691.4545315406*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5) - 5345.7272657703*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) - 2672.86363288515*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 + 79829.5271688365*a*n*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**3 + 39914.7635844182*a*n*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 130198.157406317*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**2 - 65099.0787031583*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 59396.96961967*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1) + 29698.484809835*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 6533.6666581637*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5) - 3266.83332908185*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 32583.4804770761*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**3 - 57021.0908348832*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**2 + 28510.5454174416*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1) - 3563.8181771802*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5))/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4)
a*n*(-(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)/a)**0.5*(-12231023.9840824*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**4 - 6115511.99204122*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 4233815.99449008*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 2940149.99617366*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 1871004.5430196*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) - 1010342.45323059*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) - 411620.999464313*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) - 95554.8748756441*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**4) - 26343743.965716*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**4 - 13171871.982858*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 8980821.8064941*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 5987214.53766274*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 3492541.8136366*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) - 1571643.81613647*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) - 411620.999464313*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) + 13171871.982858*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**3 + 6585935.99142901*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 4490410.90324705*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 2993607.26883137*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 1746270.9068183*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) + 785821.908068234*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) + 205810.499732157*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**3) - 27541186.8732486*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**4 - 13770593.4366243*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 9180395.62441619*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 5737747.26526012*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 2868873.63263006*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) - 860662.089789018*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) + 25146301.0581835*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**3 + 12573150.5290917*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 8382100.35272783*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 5238812.72045489*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 2619406.36022745*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) + 785821.908068234*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) - 4490410.90324705*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**2 - 2245205.45162353*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 1496803.63441568*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 935502.271509802*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 467751.135754901*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) - 140325.34072647*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**2) - 18626889.6727285*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**4 - 9313444.83636426*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 5987214.53766274*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 3326230.29870152*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 1164180.60454553*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) + 23283612.0909106*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**3 + 11641806.0454553*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 7484018.17207842*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 4157787.8733769*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 1455225.75568191*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) - 7484018.17207842*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**2 - 3742009.08603921*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 2405577.26959663*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 1336431.81644257*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 467751.135754901*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) + 498934.544805228*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1) + 249467.272402614*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 160371.817973109*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 89095.454429505*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) + 31183.4090503267*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)) - 9189899.13955534*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**4 - 4594949.56977767*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 2756969.7418666*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 1148737.39244442*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 13970167.2545464*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**3 + 6985083.62727319*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 4191050.17636391*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 1746270.9068183*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 6058490.90120634*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**2 - 3029245.45060317*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 1817547.2703619*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 757311.362650792*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) + 712763.63543604*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1) + 356381.81771802*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 213829.090630812*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 89095.454429505*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) - 8909.5454429505*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5) - 4454.77272147525*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) - 2672.86363288515*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 - 1113.69318036881*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3 - 3565718.88020803*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**4 - 1782859.44010401*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 891429.720052007*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 6173483.43439002*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**3 + 3086741.71719501*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 1543370.85859751*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 3207436.35946218*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**2 - 1603718.17973109*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 801859.089865545*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 498934.544805228*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1) + 249467.272402614*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 124733.636201307*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 10691.4545315406*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5) - 5345.7272657703*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) - 2672.86363288515*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 - 1182780.34131786*a*n*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**4 - 591390.170658931*a*n*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 2235226.76072742*a*n*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**3 + 1117613.38036371*a*n*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 1301981.57406317*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**2 - 650990.787031583*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 237587.87847868*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1) + 118793.93923934*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 6533.6666581637*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5) - 3266.83332908185*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) - 456168.726679066*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**4 + 912337.453358131*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**3 - 570210.908348832*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**2 + 114042.181669766*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1) - 3563.8181771802*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5))/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4)
a*n*r*(-(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)/a)**0.5*(366930719.522473*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/(r**2 - 1)**4 + 183465359.761237*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 128425751.832866*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 91732679.8806183*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 61743149.919647*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) + 37045889.9517882*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) + 18522944.9758941*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) + 6879950.99104638*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**4) + 1433323.12313466*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**4) + 880633726.853936*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**4 + 440316863.426968*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 304834751.603286*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 211690799.724504*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 134712327.097412*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) + 72744656.6326022*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) + 29636711.9614305*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) + 6879950.99104638*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**4) - 440316863.426968*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**3 - 220158431.713484*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 152417375.801643*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 105845399.862252*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 67356163.5487058*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) - 36372328.3163011*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) - 14818355.9807153*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**3) - 3439975.49552319*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**3) + 1027406014.66293*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**4 + 513703007.331463*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 350252050.45327*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 233501366.968847*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 136209130.731827*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) + 61294108.8293223*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) + 16053218.9791082*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) - 948374782.765777*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**3 - 474187391.382889*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 323309585.033788*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 215539723.355858*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 125731505.290917*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) - 56579177.3809128*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) - 14818355.9807153*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**3) + 177820271.768583*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**2 + 88910135.8842916*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 60620547.1938352*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 40413698.1292235*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) + 23574657.242047*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) + 10608595.7589212*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**2) + 2778441.74638411*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**2) + 775943004.081091*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**4 + 387971502.040545*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 258647668.02703*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 161654792.516894*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 80827396.2584469*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) + 24248218.8775341*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) - 991482727.436949*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**3 - 495741363.718475*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 330494242.478983*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 206558901.549364*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 103279450.774682*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) - 30983835.2324047*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) + 339475064.285477*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**2 + 169737532.142739*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 113158354.761826*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 70723971.7261411*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) + 35361985.8630705*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) + 10608595.7589212*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**2) - 26942465.4194823*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1) - 13471232.7097412*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 8980821.8064941*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 5613013.62905881*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) - 2806506.81452941*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)) - 841952.044358822*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)) + 426688822.717431*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**4 + 213344411.358715*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 137149978.730603*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 76194432.6281127*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 26668051.4198394*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) - 670568028.218226*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**3 - 335284014.109113*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 215539723.355858*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 119744290.753255*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 41910501.7636392*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) + 314328763.227294*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**2 + 157164381.613647*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 101034245.323059*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 56130136.2905881*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) + 19645547.7017059*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) - 44904109.0324705*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1) - 22452054.5162353*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 14433463.6175798*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 8018590.89865545*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) - 2806506.81452941*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)) + 1122602.72581176*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5) + 561301.362905881*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 360836.590439495*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 + 200464.772466386*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3 + 70162.6703632352*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4 + 182695575.034966*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**4 + 91347787.5174829*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 54808672.5104897*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 22836946.8793707*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 330836369.023992*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**3 - 165418184.511996*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 99250910.7071977*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 41354546.127999*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 188597257.936376*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**2 + 94298628.9681881*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 56579177.3809128*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 23574657.242047*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 36350945.407238*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1) - 18175472.703619*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 10905283.6221714*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 4543868.17590475*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) + 1603718.17973109*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5) + 801859.089865545*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 481115.453919327*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 + 200464.772466386*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3 + 64148184.1312356*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**4 + 32074092.0656178*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 16037046.0328089*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 128365879.687489*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**3 - 64182939.8437445*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 32091469.9218723*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 83342026.3642653*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**2 + 41671013.1821326*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 20835506.5910663*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 19244618.1567731*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1) - 9622309.07838654*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 4811154.53919327*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 1122602.72581176*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5) + 561301.362905881*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 280650.681452941*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 + 19836822.9144439*a*n*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**4 + 9918411.45722197*a*n*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 42580092.2874431*a*n*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**3 - 21290046.1437215*a*n*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 30175561.2698202*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**2 + 15087780.6349101*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 7811889.444379*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1) - 3905944.7221895*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 534572.72657703*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5) + 267286.363288515*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 7298699.62686505*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**4 - 16422074.1604464*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**3 + 12316555.6203348*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**2 - 3421265.45009299*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1) + 256594.908756974*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5))/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5)
a*n*(-(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)/a)**0.5*(-12475644463.7641*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/(r**2 - 1)**5 - 6237822231.88205*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 4403168634.26968*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 3210643795.82164*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) - 2247450657.07515*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) - 1444789708.11974*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) - 815009578.93934*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) - 378397304.507551*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**5) - 128999081.08212*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**5) - 24366493.0932892*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**5) - 33023764757.0226*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/(r**2 - 1)**5 - 16511882378.5113*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 11558317664.9579*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 8255941189.25565*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) - 5556883492.76823*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) - 3334130095.66094*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) - 1667065047.83047*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) - 619195589.194174*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**5) - 128999081.08212*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**5) + 16511882378.5113*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/(r**2 - 1)**4 + 8255941189.25565*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 5779158832.47896*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 4127970594.62783*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 2778441746.38411*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) + 1667065047.83047*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) + 833532523.915234*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) + 309597794.597087*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**4) + 64499540.5410598*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**4) - 42563963464.6069*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**5 - 21281981732.3035*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 14733679660.8255*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 10231721986.6844*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) - 6511095809.70823*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) - 3515991737.24244*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) - 1432441078.13581*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) - 332530964.567241*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**5) + 39628517708.4271*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**4 + 19814258854.2136*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 13717563822.1479*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 9526085987.60267*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 6062054719.38352*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) + 3273509548.4671*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) + 1333652038.26437*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) + 309597794.597087*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**4) - 7705545109.97194*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**3 - 3852772554.98597*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 2667304076.52875*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 1852294497.58941*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 1178732862.10235*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) - 636515745.53527*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) - 259321229.662517*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**3) - 60199571.1716558*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**3) - 35564054353.7167*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**5 - 17782027176.8583*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 12124109438.767*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 8082739625.84469*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) - 4714931448.4094*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) - 2121719151.78423*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) - 555688349.276823*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) + 46233270659.8316*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**4 + 23116635329.9158*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 15761342270.3972*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 10507561513.5981*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 6129410882.93223*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) + 2758234897.3195*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) + 722394854.059869*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) - 16596558698.4011*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**3 - 8298279349.20055*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 5657917738.09128*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 3771945158.72752*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 2200301342.59106*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) - 990135604.165975*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) - 259321229.662517*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**3) + 1481835598.07153*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**2 + 740917799.035764*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 505171226.615293*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 336780817.743529*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) + 196455477.017059*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) + 88404964.6576763*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**2) + 23153681.2198676*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**2) - 21647372882.3734*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**5 - 10823686441.1867*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 7215790960.79113*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 4509869350.49446*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) - 2254934675.24723*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) - 676480402.574168*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) + 34917435183.6491*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**4 + 17458717591.8245*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 11639145061.2164*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 7274465663.26022*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 3637232831.63011*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) + 1091169849.48903*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) - 17350947730.1466*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**3 - 8675473865.0733*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 5783649243.3822*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 3614780777.11388*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 1807390388.55694*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) - 542217116.567081*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) + 2828958869.04564*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**2 + 1414479434.52282*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 942986289.681881*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 589366431.051176*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) + 294683215.525588*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) + 88404964.6576763*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**2) - 101034245.323059*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1) - 50517122.6615293*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 33678081.7743529*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 21048801.1089706*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) - 10524400.5544853*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)) - 3157320.16634558*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)) - 10238136859.4033*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**5 - 5119068429.70164*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 3290829704.8082*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 1828238724.89344*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) - 639883553.712705*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) + 19200997022.2844*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**4 + 9600498511.1422*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 6171749042.87713*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 3428749468.26507*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 1200062313.89277*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) - 11734940493.819*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**3 - 5867470246.90948*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 3771945158.72752*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 2095525088.18196*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 733433780.863685*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) + 2619406360.22745*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**2 + 1309703180.11372*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 841952044.358822*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 467751135.754901*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) + 163712897.514215*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) - 168390408.871764*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1) - 84195204.4358822*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 54125488.5659243*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 30069715.8699579*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) - 10524400.5544853*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)) + 1122602.72581176*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5) + 561301.362905881*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 360836.590439495*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 + 200464.772466386*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3 + 70162.6703632352*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4 - 3930002191.94174*a**3*n**3*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**5 - 1965001095.97087*a**3*n**3*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 1179000657.58252*a**3*n**3*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 491250273.992718*a**3*n**3*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) + 8221300876.57346*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**4 + 4110650438.28673*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 2466390262.97204*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 1027662609.57168*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 5789636457.91987*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**3 - 2894818228.95993*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 1736890937.37596*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 723704557.239983*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 1571643816.13647*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**2 + 785821908.068234*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 471493144.84094*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 196455477.017059*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 136316045.277143*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1) - 68158022.6385713*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 40894813.5831428*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 17039505.6596428*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) + 1603718.17973109*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5) + 801859.089865545*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 481115.453919327*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 + 200464.772466386*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3 - 1273688251.84891*a**2*n**2*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**5 - 636844125.924453*a**2*n**2*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 318422062.962226*a**2*n**2*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 2886668285.9056*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**4 + 1443334142.9528*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 721667071.476401*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 2246402894.53106*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**3 - 1123201447.26553*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 561600723.632765*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 694516886.368877*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**2 + 347258443.184439*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 173629221.592219*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 72167318.087899*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1) - 36083659.0439495*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 18041829.5219748*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 1122602.72581176*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5) + 561301.362905881*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 280650.681452941*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 - 371660211.713721*a*n*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**5 - 185830105.85686*a*n*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 892657031.149977*a*n*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**4 + 446328515.574989*a*n*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 745151615.030254*a*n*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**3 - 372575807.515127*a*n*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 251463010.581835*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**2 + 125731505.290917*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 29294585.4164212*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1) - 14647292.7082106*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 534572.72657703*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5) + 267286.363288515*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) - 131376593.283571*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**5 + 328441483.208927*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**4 - 287386297.807811*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**3 + 102637963.50279*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**2 - 12829745.4378487*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1) + 256594.908756974*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5))/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5)
a*n*r*(-(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)/a)**0.5*(474074489623.036*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.5)/(r**2 - 1)**5 + 237037244811.518*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 168421200260.815*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 124756444637.641*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) + 89898026283.006*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) + 60681167741.029*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) + 37082935841.74*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) + 19676659834.3926*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**5) + 8513939351.41989*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**5) + 2680314240.26182*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**5) + 462963368.772496*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**10*(r**2 - 1)**5) + 1372320891014.05*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/(r**2 - 1)**5 + 686160445507.025*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 484348549769.665*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 353170817540.381*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) + 247219572278.266*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) + 158926867893.171*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) + 89651053683.3274*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) + 41623703495.8306*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**5) + 14189898919.0331*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**5) + 2680314240.26182*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**5) - 686160445507.025*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/(r**2 - 1)**4 - 343080222753.513*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 242174274884.832*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 176585408770.19*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 123609786139.133*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) - 79463433946.5856*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) - 44825526841.6637*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) - 20811851747.9153*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**4) - 7094949459.51657*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**4) - 1340157120.13091*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**4) + 1937394199078.66*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/(r**2 - 1)**5 + 968697099539.33*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 678087969677.531*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 484348549769.665*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) + 326003831575.736*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) + 195602298945.442*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) + 97801149472.7208*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) + 36326141232.7249*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**5) + 7567946090.15101*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**5) - 1816307061636.24*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/(r**2 - 1)**4 - 908153530818.122*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 635707471572.685*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 454076765409.061*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 305628592102.252*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) - 183377155261.351*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) - 91688577630.6757*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) - 34055757405.6796*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**4) - 7094949459.51657*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**4) + 363261412327.249*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/(r**2 - 1)**3 + 181630706163.624*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 127141494314.537*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 90815353081.8122*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 61125718420.4505*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) + 36675431052.2703*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) + 18337715526.1351*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**3) + 6811151481.13591*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**3) + 1418989891.90332*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**3) + 1775944682488.77*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**5 + 887972341244.385*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 614750082399.959*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 426909779444.416*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) + 271669859646.447*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) + 146701724209.081*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) + 59767369122.2183*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) + 13874567831.9435*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**5) - 2341017990553.38*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**4 - 1170508995276.69*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 810352381345.401*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 562744709267.639*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 358110269533.952*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) - 193379545548.334*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) - 78784259297.4695*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) - 18289203051.1983*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**4) + 871827389585.397*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**3 + 435913694792.698*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 301786404087.253*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 209573891727.259*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 133365203826.437*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) + 72017210066.2762*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) + 29340344841.8162*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**3) + 6811151481.13591*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**3) - 84760996209.6913*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**2 - 42380498104.8457*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 29340344841.8162*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 20375239473.4835*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 12966061483.1259*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) - 7001673200.88797*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**2) - 2852533526.28769*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**2) - 662195282.888214*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**2) + 1187523290486.55*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**5 + 593761645243.274*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 404837485393.141*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 269891656928.761*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) + 157436799875.11*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) + 70846559943.7997*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) + 18555051413.8523*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) - 1956022989454.42*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**4 - 978011494727.208*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 666826019132.187*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 444550679421.458*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 259321229662.517*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) - 116694553348.133*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) - 30562859210.2252*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) + 1017131954516.3*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**3 + 508565977258.148*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 346749529948.737*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 231166353299.158*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 134847039424.509*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) + 60681167741.029*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) + 15892686789.3171*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**3) - 182562145682.412*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**2 - 91281072841.2061*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 62237095119.0041*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 41491396746.0028*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 24203314768.5016*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) - 10891491645.8257*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**2) - 2852533526.28769*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**2) + 8150095789.3934*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1) + 4075047894.6967*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 2778441746.38411*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 1852294497.58941*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) + 1080505123.59382*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)) + 486227305.61722*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)) + 127345246.709272*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)) + 617233921116.727*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**5 + 308616960558.363*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 205744640372.242*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 128590400232.651*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) + 64295200116.3257*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) + 19288560034.8977*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) - 1190605508530.54*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**4 - 595302754265.268*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 396868502843.512*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 248042814277.195*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 124021407138.598*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) - 37206422141.5793*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) + 768183574040.28*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**3 + 384091787020.14*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 256061191346.76*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 160038244591.725*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 80019122295.8625*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) + 24005736688.7587*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) - 190860425031.613*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**2 - 95430212515.8063*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 63620141677.2042*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 39762588548.2526*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 19881294274.1263*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) - 5964388282.2379*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**2) + 15559273779.751*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1) + 7779636889.87552*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 5186424593.25034*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 3241515370.78147*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) + 1620757685.39073*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)) + 486227305.61722*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)) - 222275339.710729*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5) - 111137669.855365*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) - 74091779.9035764*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 - 46307362.4397352*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3 - 23153681.2198676*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4 - 6946104.36596028*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5 + 259782767875.25*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**5 + 129891383937.625*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 83501603959.9018*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 46389779977.7232*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) + 16236422992.2031*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) - 563097527267.18*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**4 - 281548763633.59*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 180995633764.451*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 100553129869.139*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 35193595454.1988*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) + 422421934490.257*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**3 + 211210967245.128*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 135778478943.297*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 75432488301.8315*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 26401370905.641*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) - 129084345432.009*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**2 - 64542172716.0043*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 41491396746.0028*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 23050775970.0015*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 8067771589.50054*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) + 14406734981.251*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1) + 7203367490.62548*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 4630736243.97352*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 2572631246.65196*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) + 900420936.328185*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)) - 370458899.517882*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5) - 185229449.758941*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) - 119076074.845033*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 - 66153374.9139075*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3 - 23153681.2198676*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4 + 91336926357.3239*a**3*n**3*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**5 + 45668463178.6619*a**3*n**3*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 27401077907.1972*a**3*n**3*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 11417115794.6655*a**3*n**3*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) - 216150120556.796*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**4 - 108075060278.398*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 64845036167.0387*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 27018765069.5995*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 180868619284.616*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**3 + 90434309642.308*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 54260585785.3848*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 22608577410.577*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 63686001037.1185*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**2 - 31843000518.5593*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 19105800311.1356*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 7960750129.63981*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) + 8644040988.75057*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1) + 4322020494.37529*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 2593212296.62517*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 1080505123.59382*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) - 299895299.609714*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5) - 149947649.804857*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) - 89968589.8829141*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 - 37486912.4512142*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3 + 27703726307.2604*a**2*n**2*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**5 + 13851863153.6302*a**2*n**2*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 6925931576.81511*a**2*n**2*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 70052853851.6898*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**4 - 35026426925.8449*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 17513213462.9224*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 63506702289.9233*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**3 + 31753351144.9616*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 15876675572.4808*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 24710431839.8416*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**2 - 12355215919.9208*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 6177607959.96041*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 3819842875.02883*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1) + 1909921437.51441*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 954960718.757206*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 158768099.793378*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5) - 79384049.896689*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) - 39692024.9483445*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 + 7695957420.84156*a*n*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**5 + 3847978710.42078*a*n*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 20441311644.2547*a*n*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**4 - 10220655822.1273*a*n*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 19638454685.2995*a*n*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**3 + 9819227342.64975*a*n*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 8196667765.33279*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**2 - 4098333882.66639*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 1383046558.20009*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1) + 691523279.100046*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 64448087.9161267*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5) - 32224043.9580634*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 2627531865.67142*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**5 - 7225712630.5964*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**4 + 7225712630.5964*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**3 - 3161249275.88592*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**2 + 564508799.265344*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1) - 28225439.9632672*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5))/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6)
a*n*(-(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)/a)**0.5*(-19911128564167.5*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-11.5)/(r**2 - 1)**6 - 9955564282083.75*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-11.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) - 7111117344345.53*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) - 5333338008259.15*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) - 3929828006085.69*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**6) - 2750879604259.98*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**6) - 1779980920403.52*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**6) - 1033024641305.61*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**6) - 516512320652.807*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**6) - 209064510740.422*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**6) - 61111164677.9694*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**10*(r**2 - 1)**6) - 9722230744.22241*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**11*(r**2 - 1)**6) - 62577832630240.7*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.5)/(r**2 - 1)**6 - 31288916315120.3*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) - 22231598434427.6*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) - 16467850692168.6*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) - 11866539469356.8*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**6) - 8009914141815.83*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**6) - 4894947531109.68*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**6) - 2597319098139.83*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**6) - 1123839994387.43*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**6) - 353801479714.56*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**6) - 61111164677.9694*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**10*(r**2 - 1)**6) + 31288916315120.3*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.5)/(r**2 - 1)**5 + 15644458157560.2*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 11115799217213.8*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 8233925346084.3*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) + 5933269734678.39*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) + 4004957070907.92*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) + 2447473765554.84*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) + 1298659549069.91*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**5) + 561919997193.713*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**5) + 176900739857.28*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**5) + 30555582338.9847*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**10*(r**2 - 1)**5) - 96062462370983.5*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/(r**2 - 1)**6 - 48031231185491.8*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) - 33904398483876.5*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) - 24721957227826.6*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) - 17305370059478.7*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**6) - 11124880752522.0*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**6) - 6275573757832.92*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**6) - 2913659244708.14*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**6) - 993292924332.32*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**6) - 187621996818.327*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**6) + 90573178806927.3*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/(r**2 - 1)**5 + 45286589403463.7*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 31967004284797.9*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 23309273957665.1*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) + 16316491770365.6*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) + 10489173280949.3*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) + 5916969543099.61*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) + 2747164430724.82*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**5) + 936533328656.188*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**5) + 176900739857.28*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**5) - 18526332028689.7*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/(r**2 - 1)**4 - 9263166014344.84*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 6538705421890.48*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 4767806036795.14*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 3337464225756.6*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) - 2145512716557.81*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) - 1210289224724.92*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) - 561919997193.713*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**4) - 191563635406.948*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**4) - 36184242243.5345*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**4) - 95901012854393.6*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/(r**2 - 1)**6 - 47950506427196.8*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) - 33565354499037.8*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) - 23975253213598.4*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) - 16137189662998.9*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**6) - 9682313797799.36*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**6) - 4841156898899.68*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**6) - 1798143991019.88*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**6) - 374613331462.475*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**6) + 127868017139192.0*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/(r**2 - 1)**5 + 63934008569595.8*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 44753805998717.0*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 31967004284797.9*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) + 21516252883998.6*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) + 12909751730399.1*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) + 6454875865199.57*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) + 2397525321359.84*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**5) + 499484441949.967*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**5) - 49040290664178.6*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/(r**2 - 1)**4 - 24520145332089.3*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 17164101732462.5*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 12260072666044.6*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 8251971986760.82*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) - 4951183192056.49*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) - 2475591596028.25*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) - 919505449953.348*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**4) - 191563635406.948*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**4) + 5085659772581.48*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/(r**2 - 1)**3 + 2542829886290.74*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 1779980920403.52*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 1271414943145.37*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 855760057886.307*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) + 513456034731.784*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) + 256728017365.892*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**3) + 95356120735.9028*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**3) + 19865858486.6464*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**3) - 69946388567403.2*a**7*n**7*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**6 - 34973194283701.6*a**7*n**7*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) - 24212211427178.0*a**7*n**7*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) - 16814035713318.1*a**7*n**7*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) - 10699840908475.1*a**7*n**7*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**6) - 5777914090576.58*a**7*n**7*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**6) - 2353964999864.53*a**7*n**7*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**6) - 546456160682.838*a**7*n**7*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**6) + 117212349044259.0*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**5 + 58606174522129.4*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 40573505438397.3*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 28176045443331.5*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) + 17930210736665.5*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) + 9682313797799.36*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) + 3944646362066.41*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) + 915721476908.273*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**5) - 63207485744941.3*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**4 - 31603742872470.6*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 21879514296325.8*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 15194107150226.3*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 9668977277416.71*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) - 5221247729805.03*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) - 2127175001031.68*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) - 493808482382.354*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**4) + 12205583454195.6*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**3 + 6102791727097.78*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 4225009657221.54*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 2934034484181.62*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 1867112853570.12*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) + 1008240940927.87*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) + 410764827785.427*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**3) + 95356120735.9028*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**3) - 635707471572.685*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**2 - 317853735786.343*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 220052586313.622*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 152814296051.126*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 97245461123.444*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) - 52512549006.6597*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**2) - 21394001447.1577*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**2) - 4966464621.6616*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**2) - 39704658655272.0*a**6*n**6*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**6 - 19852329327636.0*a**6*n**6*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) - 13535679087024.6*a**6*n**6*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) - 9023786058016.37*a**6*n**6*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) - 5263875200509.55*a**6*n**6*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**6) - 2368743840229.3*a**6*n**6*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**6) - 620385291488.625*a**6*n**6*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**6) + 78376537172112.1*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**5 + 39188268586056.1*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 26719274035947.3*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 17812849357298.2*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) + 10390828791757.3*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) + 4675872956290.78*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) + 1224633393314.25*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) - 52812620715269.2*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**4 - 26406310357634.6*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 18004302516569.1*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 12002868344379.4*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 7001673200887.97*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) - 3150752940399.58*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) - 825197198676.082*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) + 14239847363228.1*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**3 + 7119923681614.07*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 4854493419282.32*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 3236328946188.22*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 1887858551943.13*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) + 849536348374.406*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) + 222497615050.44*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**3) - 1369216092618.09*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**2 - 684608046309.046*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 466778213392.531*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 311185475595.021*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 181524860763.762*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) - 81686187343.6929*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**2) - 21394001447.1577*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**2) + 29340344841.8162*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1) + 14670172420.9081*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 10002390286.9828*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 6668260191.32187*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) + 3889818444.93776*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)) + 1750418300.22199*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)) + 458442888.153379*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)) - 18255236086322.5*a**5*n**5*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**6 - 9127618043161.24*a**5*n**5*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) - 6085078695440.83*a**5*n**5*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) - 3803174184650.52*a**5*n**5*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) - 1901587092325.26*a**5*n**5*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**6) - 570476127697.578*a**5*n**5*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**6) + 40737438793704.0*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**5 + 20368719396852.0*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 13579146264568.0*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 8486966415354.99*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) + 4243483207677.5*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) + 1273044962303.25*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) - 32146348730324.5*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**4 - 16073174365162.2*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 10715449576774.8*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 6697155985484.27*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 3348577992742.13*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) - 1004573397822.64*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) + 10754570036563.9*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**3 + 5377285018281.96*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 3584856678854.64*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 2240535424284.15*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 1120267712142.07*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) + 336080313642.622*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) - 1431453187737.1*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**2 - 715726593868.548*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 477151062579.032*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 298219414111.895*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 149109707055.947*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) - 44732912116.7842*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**2) + 56013385607.1037*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1) + 28006692803.5519*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 18671128535.7012*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 11669455334.8133*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) + 5834727667.40664*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)) + 1750418300.22199*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)) - 222275339.710729*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5) - 111137669.855365*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) - 74091779.9035764*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 - 46307362.4397352*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3 - 23153681.2198676*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4 - 6946104.36596028*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5 - 6993937862258.03*a**4*n**4*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**6 - 3496968931129.02*a**4*n**4*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) - 2248051455725.8*a**4*n**4*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) - 1248917475403.22*a**4*n**4*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) - 437121116391.127*a**4*n**4*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**6) + 17145662679766.5*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**5 + 8572831339883.25*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 5511105861353.52*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 3061725478529.73*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) + 1071603917485.41*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) - 15203633236213.9*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**4 - 7601816618106.93*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 4886882111640.17*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 2714934506466.76*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 950227077263.367*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) + 5913907082863.59*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**3 + 2956953541431.8*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 1900898705206.16*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 1056054836225.64*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 369619192678.975*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) - 968132590740.064*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**2 - 484066295370.032*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 311185475595.021*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 172880819775.012*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 60508286921.254*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) + 51864245932.5034*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1) + 25932122966.2517*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 16670650478.3047*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 9261472487.94704*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) + 3241515370.78147*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)) - 370458899.517882*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5) - 185229449.758941*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) - 119076074.845033*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 - 66153374.9139075*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3 - 23153681.2198676*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4 - 2286449642933.73*a**3*n**3*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**6 - 1143224821466.86*a**3*n**3*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) - 685934892880.119*a**3*n**3*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) - 285806205366.716*a**3*n**3*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) + 6028237139583.37*a**3*n**3*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**5 + 3014118569791.69*a**3*n**3*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 1808471141875.01*a**3*n**3*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 753529642447.922*a**3*n**3*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) - 5836053255033.48*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**4 - 2918026627516.74*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 1750815976510.05*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 729506656879.186*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 2532160669984.63*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**3 + 1266080334992.31*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 759648200995.388*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 316520083748.078*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 477645007778.389*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**2 - 238822503889.194*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 143293502333.517*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 59705625972.2986*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) + 31118547559.5021*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1) + 15559273779.751*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 9335564267.85062*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 3889818444.93776*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) - 299895299.609714*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5) - 149947649.804857*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) - 89968589.8829141*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 - 37486912.4512142*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3 - 655657723284.779*a**2*n**2*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**6 - 327828861642.389*a**2*n**2*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) - 163914430821.195*a**2*n**2*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) + 1828445936279.19*a**2*n**2*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**5 + 914222968139.594*a**2*n**2*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 457111484069.797*a**2*n**2*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 1891427053995.62*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**4 - 945713526997.812*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 472856763498.906*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 889093832058.926*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**3 + 444546916029.463*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 222273458014.732*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 185328238798.812*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**2 - 92664119399.4062*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 46332059699.7031*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 13751434350.1038*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1) + 6875717175.05189*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 3437858587.52594*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 158768099.793378*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5) - 79384049.896689*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) - 39692024.9483445*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 - 174566126989.857*a*n*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**6 - 87283063494.9286*a*n*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) + 507933189775.543*a*n*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**5 + 253966594887.772*a*n*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 551915414394.876*a*n*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**4 - 275957707197.438*a*n*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 274938365594.193*a*n*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**3 + 137469182797.096*a*n*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 61475008239.9959*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**2 - 30737504119.998*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 4978967609.52033*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1) + 2489483804.76017*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 64448087.9161267*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5) - 32224043.9580634*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) - 57805701044.7712*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**6 + 173417103134.314*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**5 - 195094241026.103*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**4 + 101159976828.35*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**3 - 23709369569.1444*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**2 + 2032231677.35524*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1) - 28225439.9632672*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5))/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6)
a*n*r*(-(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)/a)**0.5*(915911913951705.0*a**12*n**12*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-12.5)/(r**2 - 1)**6 + 457955956975852.0*a**12*n**12*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-12.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) + 328533621308764.0*a**12*n**12*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-11.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) + 248889107052094.0*a**12*n**12*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-11.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) + 186666830289070.0*a**12*n**12*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**6) + 134400117808131.0*a**12*n**12*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**6) + 90779026940579.4*a**12*n**12*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**6) + 56196540487025.4*a**12*n**12*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**6) + 30990739239168.4*a**12*n**12*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**6) + 14634515751829.5*a**12*n**12*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**6) + 5561115985695.22*a**12*n**12*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**10*(r**2 - 1)**6) + 1516667996098.7*a**12*n**12*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**11*(r**2 - 1)**6) + 223611307117.115*a**12*n**12*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**12*(r**2 - 1)**6) + 3.10613605601013e+15*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-11.5)/(r**2 - 1)**6 + 1.55306802800506e+15*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-11.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) + 1.1093343057179e+15*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) + 832000729288428.0*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) + 613053168949368.0*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**6) + 429137218264557.0*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**6) + 277677023582949.0*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**6) + 161151844043676.0*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**6) + 80575922021837.8*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**6) + 32614063675505.8*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**6) + 9533341689763.23*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**10*(r**2 - 1)**6) + 1516667996098.7*a**11*n**11*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**11*(r**2 - 1)**6) - 1.55306802800506e+15*a**11*n**11*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-11.5)/(r**2 - 1)**5 - 776534014002532.0*a**11*n**11*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-11.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 554667152858952.0*a**11*n**11*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 416000364644214.0*a**11*n**11*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) - 306526584474684.0*a**11*n**11*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) - 214568609132279.0*a**11*n**11*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) - 138838511791474.0*a**11*n**11*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) - 80575922021837.8*a**11*n**11*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**5) - 40287961010918.9*a**11*n**11*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**5) - 16307031837752.9*a**11*n**11*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**5) - 4766670844881.62*a**11*n**11*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**10*(r**2 - 1)**5) - 758333998049.348*a**11*n**11*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**11*(r**2 - 1)**5) + 5.15224155322315e+15*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.5)/(r**2 - 1)**6 + 2.57612077661158e+15*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) + 1.83040160443454e+15*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) + 1.35585304032188e+15*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) + 977011749643709.0*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**6) + 659482931009504.0*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**6) + 403017346728030.0*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**6) + 213845939080179.0*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**6) + 92529492871231.4*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**6) + 29129655163165.4*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**6) + 5031485891819.48*a**10*n**10*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**10*(r**2 - 1)**6) - 4.88107094515877e+15*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.5)/(r**2 - 1)**5 - 2.44053547257939e+15*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 1.73406467788535e+15*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 1.28449235398915e+15*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) - 925590078609830.0*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) - 624773303061635.0*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) - 381805907426555.0*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) - 202590889654907.0*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**5) - 87659519562219.2*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**5) - 27596515417735.7*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**5) - 4766670844881.62*a**10*n**10*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**10*(r**2 - 1)**5) + 1.01688978024141e+15*a**10*n**10*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.5)/(r**2 - 1)**4 + 508444890120706.0*a**10*n**10*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-10.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 361263474559449.0*a**10*n**10*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 267602573747740.0*a**10*n**10*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 192831266377048.0*a**10*n**10*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) + 130161104804507.0*a**10*n**10*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) + 79542897380532.2*a**10*n**10*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) + 42206435344772.2*a**10*n**10*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**4) + 18262399908795.7*a**10*n**10*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**4) + 5749274045361.6*a**10*n**10*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**4) + 993056426017.003*a**10*n**10*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**10*(r**2 - 1)**4) + 5.56613353395299e+15*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/(r**2 - 1)**6 + 2.78306676697649e+15*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) + 1.96451771786576e+15*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) + 1.43246083594378e+15*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) + 1.00272258516065e+15*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**6) + 644607376174703.0*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**6) + 363624673739576.0*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**6) + 168825741379089.0*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**6) + 57554230015598.5*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**6) + 10871354558501.9*a**9*n**9*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**6) - 7.49287206493672e+15*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/(r**2 - 1)**5 - 3.74643603246836e+15*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 2.64454308174237e+15*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 1.92831266377048e+15*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) - 1.34981886463933e+15*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) - 867740698696715.0*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) - 489494753110968.0*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) - 227265421087235.0*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**5) - 77476848097921.0*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**5) - 14634515751829.5*a**9*n**9*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**5) + 2.94362831122514e+15*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/(r**2 - 1)**4 + 1.47181415561257e+15*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 1.03892763925593e+15*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 757551403624116.0*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 530285982536882.0*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) + 340898131630852.0*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) + 192301510150737.0*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) + 89282843998556.6*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**4) + 30437333181326.1*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**4) + 5749274045361.6*a**9*n**9*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**4) - 321123088497288.0*a**9*n**9*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.5)/(r**2 - 1)**3 - 160561544248644.0*a**9*n**9*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-9.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 113337560646102.0*a**9*n**9*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 82641971304449.1*a**9*n**9*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 57849379913114.3*a**9*n**9*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) - 37188887087002.1*a**9*n**9*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) - 20978346561898.6*a**9*n**9*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**3) - 9739946618024.35*a**9*n**9*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**3) - 3320436347053.76*a**9*n**9*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**3) - 627193532221.265*a**9*n**9*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**9*(r**2 - 1)**3) + 4.40001596552754e+15*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/(r**2 - 1)**6 + 2.20000798276377e+15*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) + 1.54000558793464e+15*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) + 1.10000399138189e+15*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) + 740387301891654.0*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**6) + 444232381134992.0*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**6) + 222116190567496.0*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**6) + 82500299353641.4*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**6) + 17187562365342.0*a**8*n**8*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**6) - 7.4802790026427e+15*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/(r**2 - 1)**5 - 3.74013950132135e+15*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 2.61809765092495e+15*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 1.87006975066068e+15*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) - 1.25870079371392e+15*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) - 755220476228350.0*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) - 377610238114175.0*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) - 140255231299551.0*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**5) - 29219839854073.1*a**8*n**8*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**5) + 4.15571055702372e+15*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/(r**2 - 1)**4 + 2.07785527851186e+15*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 1.4544986949583e+15*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 1.03892763925593e+15*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 699278218729954.0*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) + 419566931237972.0*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) + 209783465618986.0*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) + 77919572944194.8*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**4) + 16233244363373.9*a**8*n**8*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**4) - 850031704845762.0*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/(r**2 - 1)**3 - 425015852422881.0*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 297511096696017.0*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 212507926211440.0*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 143034181103854.0*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) - 85820508662312.5*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) - 42910254331156.2*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**3) - 15938094465858.0*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**3) - 3320436347053.76*a**8*n**8*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**3) + 49585182782669.4*a**8*n**8*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.5)/(r**2 - 1)**2 + 24792591391334.7*a**8*n**8*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-8.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 17354813973934.3*a**8*n**8*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 12396295695667.4*a**8*n**8*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) + 8343660564391.49*a**8*n**8*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) + 5006196338634.9*a**8*n**8*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**2) + 2503098169317.45*a**8*n**8*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**2) + 929722177175.052*a**8*n**8*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**2) + 193692120244.802*a**8*n**8*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**8*(r**2 - 1)**2) + 2.71103445065475e+15*a**7*n**7*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**6 + 1.35551722532737e+15*a**7*n**7*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) + 938435002149721.0*a**7*n**7*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) + 651690973715084.0*a**7*n**7*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) + 414712437818690.0*a**7*n**7*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**6) + 223944716422093.0*a**7*n**7*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**6) + 91236736320111.8*a**7*n**7*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**6) + 21179956645740.2*a**7*n**7*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**6) - 5.45581830825745e+15*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**5 - 2.72790915412873e+15*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 1.88855249131989e+15*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 1.31149478563881e+15*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) - 834587590861061.0*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) - 450677299064973.0*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) - 183609269989433.0*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) - 42623580533261.3*a**7*n**7*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**5) + 3.80940134393841e+15*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**4 + 1.90470067196921e+15*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 1.31863892674791e+15*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 915721476908273.0*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 582731848941628.0*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) + 314675198428479.0*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) + 128201006767158.0*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) + 29760947999518.9*a**7*n**7*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**4) - 1.09559641957898e+15*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**3 - 547798209789491.0*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 379244914469648.0*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 263364523937255.0*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 167595606141890.0*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) - 90501627316620.4*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) - 36871033351215.7*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**3) - 8559347027960.8*a**7*n**7*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**3) + 119004438678407.0*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1)**2 + 59502219339203.3*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 41193844157910.0*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 28606836220770.8*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) + 18204350322308.7*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) + 9830349174046.7*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**2) + 4004957070907.92*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**2) + 929722177175.052*a**7*n**7*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)**2) - 3305678852177.96*a**7*n**7*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.5)/(r**2 - 1) - 1652839426088.98*a**7*n**7*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-7.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 1144273448830.83*a**7*n**7*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 794634339465.856*a**7*n**7*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) - 505676397841.909*a**7*n**7*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)) - 273065254834.631*a**7*n**7*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)) - 111248807525.22*a**7*n**7*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)) - 25825616032.6403*a**7*n**7*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**7*(r**2 - 1)) + 1.35452700162562e+15*a**6*n**6*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**6 + 677263500812812.0*a**6*n**6*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) + 461770568736008.0*a**6*n**6*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) + 307847045824005.0*a**6*n**6*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) + 179577443397336.0*a**6*n**6*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**6) + 80809849528801.4*a**6*n**6*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**6) + 21164484400400.4*a**6*n**6*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**6) - 3.09696337511122e+15*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**5 - 1.54848168755561e+15*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 1.05578296878792e+15*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 703855312525277.0*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) - 410582265639745.0*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) - 184762019537885.0*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) - 48390052736112.8*a**6*n**6*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**5) + 2.54723745809364e+15*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**4 + 1.27361872904682e+15*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 868376406168288.0*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 578917604112192.0*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 337701935732112.0*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) + 151965871079450.0*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) + 39800585282713.2*a**6*n**6*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**4) - 915418759064667.0*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**3 - 457709379532333.0*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 312074576953864.0*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 208049717969242.0*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 121362335482058.0*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) - 54613050966926.1*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) - 14303418110385.4*a**6*n**6*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**3) + 138838511791474.0*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1)**2 + 69419255895737.2*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 47331310838002.6*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 31554207225335.1*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) + 18406620881445.5*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) + 8282979396650.46*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**2) + 2169351746741.79*a**6*n**6*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)**2) - 7119923681614.07*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5)/(r**2 - 1) - 3559961840807.04*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 2427246709641.16*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 1618164473094.11*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) - 943929275971.563*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)) - 424768174187.203*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)) - 111248807525.22*a**6*n**6*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6*(r**2 - 1)) + 63570747157.2685*a**6*n**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.5) + 31785373578.6343*a**6*n**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-6.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 21671845621.7961*a**6*n**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 + 14447897081.1974*a**6*n**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3 + 8427939964.03181*a**6*n**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4 + 3792572983.81431*a**6*n**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5 + 993292924.33232*a**6*n**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**6 + 564016547592384.0*a**5*n**5*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**6 + 282008273796192.0*a**5*n**5*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) + 188005515864128.0*a**5*n**5*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) + 117503447415080.0*a**5*n**5*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) + 58751723707540.0*a**5*n**5*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**6) + 17625517112262.0*a**5*n**5*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**6) - 1.42390841473315e+15*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**5 - 711954207366577.0*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 474636138244385.0*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 296647586402740.0*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) - 148323793201370.0*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) - 44497137960411.1*a**5*n**5*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**5) + 1.32396676079538e+15*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**4 + 661983380397689.0*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 441322253598460.0*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 275826408499037.0*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 137913204249519.0*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) + 41373961274855.6*a**5*n**5*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**4) - 557203377992291.0*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**3 - 278601688996146.0*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 185734459330764.0*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 116084037081727.0*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 58042018540863.6*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) - 17412605562259.1*a**5*n**5*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**3) + 104857057856498.0*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1)**2 + 52428528928249.1*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 34952352618832.7*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 21845220386770.5*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) + 10922610193385.2*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) + 3276783058015.57*a**5*n**5*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)**2) - 7443556576232.89*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5)/(r**2 - 1) - 3721778288116.45*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 2481185525410.96*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 1550740953381.85*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) - 775370476690.927*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)) - 232611143007.278*a**5*n**5*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5*(r**2 - 1)) + 121362335482.058*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.5) + 60681167741.029*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-5.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 40454111827.3527*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 + 25283819892.0954*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3 + 12641909946.0477*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4 + 3792572983.81431*a**5*n**5*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**5 + 199864803695265.0*a**4*n**4*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**6 + 99932401847632.5*a**4*n**4*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) + 64242258330620.9*a**4*n**4*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) + 35690143517011.6*a**4*n**4*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) + 12491550230954.1*a**4*n**4*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**6) - 545527153256127.0*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**5 - 272763576628063.0*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 175348013546612.0*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 97415563081451.2*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) - 34095447078507.9*a**4*n**4*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**5) + 557234037092411.0*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**4 + 278617018546206.0*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 179110940493989.0*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 99506078052216.3*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) + 34827127318275.7*a**4*n**4*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**4) - 263529642761040.0*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**3 - 131764821380520.0*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 84705956601763.0*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 47058864778757.2*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) - 16470602672565.0*a**4*n**4*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**3) + 57660594057920.0*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1)**2 + 28830297028960.0*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 18533762375760.0*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 10296534653200.0*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) + 3603787128620.0*a**4*n**4*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)**2) - 5034289471848.33*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5)/(r**2 - 1) - 2517144735924.17*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 1618164473094.11*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 898980262830.06*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) - 314643091990.521*a**4*n**4*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4*(r**2 - 1)) + 112372532853.757*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.5) + 56186266426.8787*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-4.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 36119742702.9935*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 + 20066523723.8853*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3 + 7023283303.35984*a**4*n**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**4 + 61431368663257.3*a**3*n**3*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**6 + 30715684331628.6*a**3*n**3*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) + 18429410598977.2*a**3*n**3*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) + 7678921082907.16*a**3*n**3*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**6) - 178343072148831.0*a**3*n**3*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**5 - 89171536074415.4*a**3*n**3*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 53502921644649.3*a**3*n**3*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) - 22292884018603.9*a**3*n**3*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**5) + 195917707036460.0*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**4 + 97958853518229.8*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 58775312110937.9*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) + 24489713379557.5*a**3*n**3*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**4) - 101158256420580.0*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**3 - 50579128210290.2*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 30347476926174.1*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) - 12644782052572.5*a**3*n**3*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**3) + 24688566532350.1*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1)**2 + 12344283266175.0*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 7406569959705.03*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) + 3086070816543.76*a**3*n**3*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)**2) - 2483754040447.62*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5)/(r**2 - 1) - 1241877020223.81*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 745126212134.287*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) - 310469255055.953*a**3*n**3*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3*(r**2 - 1)) + 67423519712.2545*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.5) + 33711759856.1272*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-3.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 20227055913.6763*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 + 8427939964.03181*a**3*n**3*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**3 + 16783182120773.8*a**2*n**2*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**6 + 8391591060386.92*a**2*n**2*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) + 4195795530193.46*a**2*n**2*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**6) - 51141302416212.8*a**2*n**2*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**5 - 25570651208106.4*a**2*n**2*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) - 12785325604053.2*a**2*n**2*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**5) + 59424492929073.6*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**4 + 29712246464536.8*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) + 14856123232268.4*a**2*n**2*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**4) - 32784735602590.8*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**3 - 16392367801295.4*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) - 8196183900647.71*a**2*n**2*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**3) + 8668664862574.53*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1)**2 + 4334332431287.26*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) + 2167166215643.63*a**2*n**2*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)**2) - 963706841753.824*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5)/(r**2 - 1) - 481853420876.912*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) - 240926710438.456*a**2*n**2*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2*(r**2 - 1)) + 29794774425.2248*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.5) + 14897387212.6124*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-2.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 7448693606.30621*a**2*n**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)**2 + 4305198449846.11*a*n*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**6 + 2152599224923.06*a*n*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**6) - 13616157905208.9*a*n*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**5 - 6808078952604.43*a*n*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**5) + 16507828667705.1*a*n*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**4 + 8253914333852.57*a*n*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**4) - 9566533849511.18*a*n*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**3 - 4783266924755.59*a*n*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**3) + 2680649064543.38*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1)**2 + 1340324532271.69*a*n*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**2) - 319670042847.979*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5)/(r**2 - 1) - 159835021423.989*a*n*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)) + 10787763153.9607*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.5) + 5393881576.98036*a*n*(2*a*n*np.log(-r**2 + 1) + b**2)**(-1.0)/(b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5) + 1387336825074.51*r**12*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**6 - 4508844681492.15*r**10*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**5 + 5636055851865.19*r**8*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**4 - 3381633511119.11*r**6*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**3 + 986309774076.408*r**4*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1)**2 - 123288721759.551*r**2*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5)/(r**2 - 1) + 4403168634.26968*(2*a*n*np.log(-r**2 + 1) + b**2)**(-0.5))/((b + (2*a*n*np.log(-r**2 + 1) + b**2)**0.5)*(r**2 - 1)**7)
