diff --git a/examples/tree_3d_dgsem/elixir_mhd_diffusive_convergence.jl b/examples/tree_3d_dgsem/elixir_mhd_diffusive_convergence.jl index ebd44a48a95..f3cf9876b5e 100644 --- a/examples/tree_3d_dgsem/elixir_mhd_diffusive_convergence.jl +++ b/examples/tree_3d_dgsem/elixir_mhd_diffusive_convergence.jl @@ -17,8 +17,8 @@ equations_parabolic = ViscoResistiveMhd3D(equations, mu = mu_const, volume_flux = (flux_hindenlang_gassner, flux_nonconservative_powell) solver = DGSEM(polydeg = 3, -# surface_flux = (flux_lax_friedrichs, flux_nonconservative_powell), - surface_flux = (flux_hll, flux_hll), +# surface_flux = (flux_hindenlang_gassner, flux_nonconservative_powell), + surface_flux = (flux_lax_friedrichs, flux_nonconservative_powell), volume_integral = VolumeIntegralFluxDifferencing(volume_flux)) coordinates_min = (-1.0, -1.0, -1.0) # minimum coordinates (min(x), min(y), min(z)) @@ -26,7 +26,7 @@ coordinates_max = (1.0, 1.0, 1.0) # maximum coordinates (max(x), max(y), max(z)) # Create a uniformly refined mesh mesh = TreeMesh(coordinates_min, coordinates_max, - initial_refinement_level = 1, + initial_refinement_level = 2, n_cells_max = 50_000) # set maximum capacity of tree data structure function initial_condition_constant_alfven(x, t, equations) @@ -44,64 +44,64 @@ function initial_condition_constant_alfven(x, t, equations) Va = omega / (ny * sqr) phi_alv = omega / ny * (nx * (x[1] - 0.5 * r) + ny * (x[2] - 0.5 * r)) - Va * t - # 1d Alfven wave. - k = 2*pi - rho = 1.0 - v1 = 0 - v2 = -e*sin(k*x[1])*sqrt(rho) - v3 = 0 - B1 = 1 - B2 = e*sin(k*x[1]) - B3 = 0 - p = 1 - psi = 0 - -# # 3d Alfven wave -# rho = 1.0 + e*cos(phi_alv + 1.0) -# v1 = -e * ny * cos(phi_alv) / rho -# v2 = e * nx * cos(phi_alv) / rho -# v3 = e * sin(phi_alv) / rho -# p = 1.0 -# B1 = nx - rho * v1 * sqr -# B2 = ny - rho * v2 * sqr -# B3 = -rho * v3 * sqr -# psi = 0.0 +# # 1d Alfven wave. +# k = 2*pi +# rho = 1.0 +# v1 = 0 +# v2 = -e*sin(k*x[1])*sqrt(rho) +# v3 = 0 +# B1 = 1 +# B2 = e*sin(k*x[1]) +# B3 = 0 +# p = 1 +# psi = 0 + + # 3d Alfven wave + rho = 1.0 + e*cos(phi_alv + 1.0) + v1 = -e * ny * cos(phi_alv) / rho + v2 = e * nx * cos(phi_alv) / rho + v3 = e * sin(phi_alv) / rho + p = 1.0 + B1 = nx - rho * v1 * sqr + B2 = ny - rho * v2 * sqr + B3 = -rho * v3 * sqr + psi = 0.0 return prim2cons(SVector(rho, v1, v2, v3, p, B1, B2, B3, psi), equations) end @inline function source_terms_mhd_convergence_test(u, x, t, equations) - # 1d Alfven wave - r_1 = 0.0 - r_2 = -0.0004*pi*sin(4*pi*x[1]) - r_3 = pi*(0.08*pi*mu_const*sin(2*pi*x[1]) + 0.04*cos(2*pi*x[1])) - r_4 = 0.0 - r_5 = pi*(-0.0016*pi*eta_const*sin(2*pi*x[1])^2 + 0.0016*pi*eta_const*cos(2*pi*x[1])^2 - 0.0127111111111111*pi*mu_const*sin(2*pi*x[1])^2 + 0.0127111111111111*pi*mu_const*cos(2*pi*x[1])^2 - 0.0008*sin(4*pi*x[1])) - r_6 = 0.0 - r_7 = -pi*(0.08*pi*eta_const*sin(2*pi*x[1]) + 0.04*cos(2*pi*x[1])) - r_8 = 0.0 - r_9 = 0.0 +# # 1d Alfven wave +# r_1 = 0.0 +# r_2 = 0.0004*pi*sin(4*pi*x[1]) +# r_3 = -pi*(0.08*pi*mu_const*sin(2*pi*x[1]) + 0.04*cos(2*pi*x[1])) +# r_4 = 0.0 +# r_5 = pi*(0.0016*pi*eta_const*sin(2*pi*x[1])^2 - 0.0016*pi*eta_const*cos(2*pi*x[1])^2 + 0.0127111111111111*pi*mu_const*sin(2*pi*x[1])^2 - 0.0127111111111111*pi*mu_const*cos(2*pi*x[1])^2 + 0.0008*sin(4*pi*x[1])) +# r_6 = 0.0 +# r_7 = pi*(0.08*pi*eta_const*sin(2*pi*x[1]) + 0.04*cos(2*pi*x[1])) +# r_8 = 0.0 +# r_9 = 0.0 # 3d Alfven wave - # r_1 = 0.02*sqrt(5)*pi*sin(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) - # - # r_2 = sqrt(5)*pi^2*mu_const*(-0.04*(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)^2*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] +3.0)) + (0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)*(0.0012*cos(-2*sqrt(5)*pi*t + 2*pi*x[1] + 4*pi*x[2] + 1) - 0.0004*cos(1)) + 3.2e-5*sin(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1)^2*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0)))/(0.02*cos(-sqrt(5)*pi*t + pi*(x[1]+ 2*x[2] - 3.0) + 1) + 1)^3 - # - # r_3 = -sqrt(5)*pi^2*mu_const*(-0.02*(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)^2*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0)) + (0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)*(0.0006*cos(-2*sqrt(5)*pi*t + 2*pi*x[1] + 4*pi*x[2] + 1) - 0.0002*cos(1)) + 1.6e-5*sin(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1)^2*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0)))/(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)^3 - # - # r_4 = -pi^2*mu_const*((0.003*sin(-2*sqrt(5)*pi*t + 2*pi*x[1] + 4*pi*x[2] + 1) + 0.001*sin(1))*(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1) + 0.1*(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)^2*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2])) - 8.0e-5*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))*sin(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1)^2)/(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)^3 - # - # r_5 = 0.2*pi*(-0.00138888888888889*pi*mu_const^2*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1) + 0.0694444444444444*pi*mu_const^2*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 - 0.000694444444444444*pi*mu_const^2*cos(-sqrt(5)*pi*t+ pi*x[1] + 2*pi*x[2] + 1)^3 + 0.0694444444444444*pi*mu_const^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 - 1.73611111111111*pi*mu_const^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1) - 1.2e-5*pi*mu_const*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 - 4.0e-6*pi*mu_const*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 + 0.0002*pi*mu_const*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1) - 1.2e-5*pi*mu_const*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2 - 4.0e-6*pi*mu_const*cos(pi*(sqrt(5)*t - x[1] - 2*x[2]+ 3.0))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 + 0.0002*pi*mu_const*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1) + 1.0e-7*sqrt(5)*(-sin(-4*sqrt(5)*pi*t + 4*pi*x[1] + 8*pi*x[2] + 2) + 2*sin(-2*sqrt(5)*pi*t + 2*pi*x[1] + 4*pi*x[2] + 2) - sin(2)) + 1.0e-7*sqrt(5)*(sin(-4*sqrt(5)*pi*t + 4*pi*x[1] + 8*pi*x[2] + 2) + 2*sin(-2*sqrt(5)*pi*t + 2*pi*x[1] + 4*pi*x[2] + 2) + sin(2)) - 8.0e-9*sqrt(5)*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 - 2.0e-5*sqrt(5)*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2]))^2*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1) - 8.0e-9*sqrt(5)*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2*cos(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)^2 - 2.0e-5*sqrt(5)*sin(-sqrt(5)*pi*t + pi*x[1] + 2*pi*x[2] + 1)*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0))^2)/(-0.04*sin(pi*x[2])*sin(-sqrt(5)*pi*t + pi*x[1] + pi*x[2] + 1) + 0.02*cos(-sqrt(5)*pi*t + pi*x[1] + 1) - 1.0)^4 - # - # r_6 = pi*(-0.04*(sqrt(5)*pi*eta_const*cos(pi*(-sqrt(5)*t + x[1] + 2*x[2])) + sin(pi*(-sqrt(5)*t + x[1] + 2*x[2])))*(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)^2 + 0.04*(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2])) +0.0004*sin(-2*sqrt(5)*pi*t + 2*pi*x[1] + 4*pi*x[2] + 1) + 0.0004*sin(1))/(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)^2 - # - # r_7 = pi*(0.02*(sqrt(5)*pi*eta_const*cos(pi*(-sqrt(5)*t + x[1] + 2*x[2])) + sin(pi*(-sqrt(5)*t + x[1] + 2*x[2])))*(0.02*cos(-sqrt(5)*pi*t +pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)^2 - 0.02*(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2])) - 0.0002*sin(-2*sqrt(5)*pi*t + 2*pi*x[1] + 4*pi*x[2] + 1) - 0.0002*sin(1))/(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)^2 - # - # r_8 = pi*((0.1*pi*eta_const*sin(pi*(-sqrt(5)*t + x[1] + 2*x[2])) + 0.02*sqrt(5)*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0)))*(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)^2 - 0.02*sqrt(5)*(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)*cos(pi*(sqrt(5)*t - x[1] - 2*x[2] + 3.0)) + 0.0002*sqrt(5)*(cos(-2*sqrt(5)*pi*t + 2*pi*x[1] + 4*pi*x[2] + 1) - cos(1)))/(0.02*cos(-sqrt(5)*pi*t + pi*(x[1] + 2*x[2] - 3.0) + 1) + 1)^2 - # - # r_9 = 0.0 - - return -SVector(r_1, r_2, r_3, r_4, r_5, r_6, r_7, r_8, r_9) + r_1 = -0.016*sqrt(5)*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 0.02*sqrt(5)*pi*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + + r_2 =-mu_const*(0.04*sqrt(5)*pi^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0016*sqrt(5)*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.0008*sqrt(5)*pi^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 3.2e-5*sqrt(5)*pi^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3) - 0.0016*sqrt(5)*pi*(-0.01*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5))*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - 0.008*sqrt(5)*pi*(-0.008*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - sqrt(5)/5)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - 0.016*sqrt(5)*pi*(-0.004*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 2*sqrt(5)/5)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - 0.0016*sqrt(5)*pi*(0.04*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5))*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - 0.0004*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 8.0e-6*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 + 8.0e-6*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.04*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + + r_3 = -mu_const*(-0.02*sqrt(5)*pi^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.0008*sqrt(5)*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.0004*sqrt(5)*pi^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 1.6e-5*sqrt(5)*pi^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3) + 0.0032*sqrt(5)*pi*(-0.01*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5))*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - 0.004*sqrt(5)*pi*(-0.008*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - sqrt(5)/5)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - 0.008*sqrt(5)*pi*(-0.004*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 2*sqrt(5)/5)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 0.0032*sqrt(5)*pi*(0.04*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5))*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - 0.0008*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 1.6e-5*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 + 1.6e-5*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.02*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + + r_4 = -mu_const*(0.1*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.002*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.004*pi^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 8.0e-5*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3) - 0.04*pi*(-0.004*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 2*sqrt(5)/5)*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.0008*pi*(-0.004*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 2*sqrt(5)/5)*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.0008*pi*(-0.004*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 2*sqrt(5)/5)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.02*pi*(0.008*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5)/5)*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.0004*pi*(0.008*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5)/5)*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.0004*pi*(0.008*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5)/5)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.02*sqrt(5)*pi*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + + r_5 = -eta_const*(0.02*sqrt(5)*pi^2*(-0.004*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 2*sqrt(5)/5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 0.02*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*(0.02*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0004*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.0004*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.02*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*(0.02*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0004*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.0008*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 1.6e-5*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 - 0.0004*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.0008*pi^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 1.6e-5*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0004*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*(0.02*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0004*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.0004*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1))*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.0004*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2 - 0.0004*pi*(0.02*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0004*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.0004*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1))*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)) - eta_const*(-0.04*sqrt(5)*pi^2*(0.008*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5)/5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 0.04*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*(0.04*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0008*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.0008*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.02*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*(0.08*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0016*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.0032*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 6.4e-5*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 - 0.0016*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.0032*pi^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 6.4e-5*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0008*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*(0.04*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0008*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.0008*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1))*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.0016*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2 - 0.0008*pi*(0.04*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0008*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.0008*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1))*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)) - mu_const*(0.00555555555555556*sqrt(5)*pi^2*(-0.01*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - 0.00555555555555556*sqrt(5)*pi^2*(0.04*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - 0.0694444444444444*pi^2*(0.0002*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.0002*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 0.02*pi*(0.02*pi*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0004*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0004*pi*(0.02*pi*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0004*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.008*sqrt(5)*pi*(-0.016*sqrt(5)*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.00032*sqrt(5)*pi*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.00016*sqrt(5)*pi*(-0.016*sqrt(5)*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.00032*sqrt(5)*pi*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.004*sqrt(5)*pi*(-0.012*sqrt(5)*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.00024*sqrt(5)*pi*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 8.0e-5*sqrt(5)*pi*(-0.012*sqrt(5)*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.00024*sqrt(5)*pi*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.00138888888888889*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.00138888888888889*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 2.77777777777778e-5*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 - 0.000111111111111111*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 + 1.66666666666667e-6*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^4 + 2.77777777777778e-5*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.000111111111111111*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 2.22222222222222e-6*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 + (0.0694444444444444*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 3.47222222222222)*(-5.42101086242752e-20*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 5.42101086242752e-20*pi^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 8.0e-6*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 - 5.55653613398821e-21*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 + 8.0e-6*pi^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 + 4.8e-7*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^4 + 4.8e-7*pi^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^4) - 0.138888888888889*pi*(-5.42101086242752e-20*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 8.0e-6*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 + 8.0e-6*pi*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 0.00138888888888889*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2 - 0.02*(0.02*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0004*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.0008*pi^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 1.6e-5*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.004*sqrt(5)*(0.012*sqrt(5)*pi^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.00048*sqrt(5)*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.00024*sqrt(5)*pi^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 9.6e-6*sqrt(5)*pi^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.008*sqrt(5)*(0.016*sqrt(5)*pi^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.00064*sqrt(5)*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.00032*sqrt(5)*pi^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 1.28e-5*sqrt(5)*pi^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 5.55555555555556e-7*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2) - mu_const*(0.0222222222222222*sqrt(5)*pi^2*(-0.01*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - 0.0222222222222222*sqrt(5)*pi^2*(0.04*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - 0.277777777777778*pi^2*(0.0002*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.0002*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 0.04*pi*(0.04*pi*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0008*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0008*pi*(0.04*pi*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0008*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.016*sqrt(5)*pi*(-0.012*sqrt(5)*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.00024*sqrt(5)*pi*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.00032*sqrt(5)*pi*(-0.012*sqrt(5)*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.00024*sqrt(5)*pi*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.008*sqrt(5)*pi*(0.016*sqrt(5)*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.00032*sqrt(5)*pi*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.00016*sqrt(5)*pi*(0.016*sqrt(5)*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.00032*sqrt(5)*pi*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.00555555555555556*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.00555555555555556*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.000111111111111111*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 - 0.000444444444444444*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 + 6.66666666666667e-6*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^4 + 0.000111111111111111*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.000444444444444444*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 8.88888888888889e-6*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 + (0.0694444444444444*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 3.47222222222222)*(-2.16840434497101e-19*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 2.16840434497101e-19*pi^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 3.2e-5*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 - 2.22261445359528e-20*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 + 3.2e-5*pi^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 + 1.92e-6*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^4 + 1.92e-6*pi^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^4) - 0.277777777777778*pi*(-1.0842021724855e-19*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 1.6e-5*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 + 1.6e-5*pi*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 0.00555555555555556*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2 - 0.02*(0.08*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.0016*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.0032*pi^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 6.4e-5*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.004*sqrt(5)*(-0.032*sqrt(5)*pi^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.00128*sqrt(5)*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.00064*sqrt(5)*pi^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 2.56e-5*sqrt(5)*pi^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.008*sqrt(5)*(0.024*sqrt(5)*pi^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.00096*sqrt(5)*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.00048*sqrt(5)*pi^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 1.92e-5*sqrt(5)*pi^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 2.22222222222222e-6*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2) + 0.008*pi*(-0.01*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5))*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + (-0.008*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - sqrt(5)/5)*(0.004*sqrt(5)*pi*(-0.004*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 2*sqrt(5)/5)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 8.0e-5*sqrt(5)*pi*(-0.004*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 2*sqrt(5)/5)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.008*sqrt(5)*pi*(0.008*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5)/5)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.00016*sqrt(5)*pi*(0.008*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5)/5)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.0008*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 1.6e-5*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 - 0.0004*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 8.0e-6*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2) + (0.004*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - 2*sqrt(5)/5)*(0.008*sqrt(5)*pi*(-0.004*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 2*sqrt(5)/5)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.00016*sqrt(5)*pi*(-0.004*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 2*sqrt(5)/5)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.016*sqrt(5)*pi*(0.008*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5)/5)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.00032*sqrt(5)*pi*(0.008*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5)/5)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.0016*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 3.2e-5*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 - 0.0008*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 1.6e-5*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2) - 0.008*pi*(0.04*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5))*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 0.02*sqrt(5)*pi*(0.0002*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.0002*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 0.0004*sqrt(5)*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 8.0e-6*sqrt(5)*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 - 8.0e-6*sqrt(5)*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + (0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)*(5.42101086242752e-20*sqrt(5)*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 8.0e-6*sqrt(5)*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 - 8.0e-6*sqrt(5)*pi*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3) + 0.004*sqrt(5)*(-0.0064*sqrt(5)*pi*(-0.01*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5))*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 0.0064*sqrt(5)*pi*(0.04*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5))*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - 0.04*pi*(0.0002*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.0002*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 0.0016*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 3.2e-5*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 + 3.2e-5*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + (0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)*(-1.0842021724855e-19*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 1.6e-5*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 + 1.6e-5*pi*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.008*sqrt(5)*(-0.0032*sqrt(5)*pi*(-0.01*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5))*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 0.0032*sqrt(5)*pi*(0.04*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5))*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - 0.02*pi*(0.0002*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.0002*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 0.0008*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 1.6e-5*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 + 1.6e-5*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + (0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)*(-5.42101086242752e-20*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 8.0e-6*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 + 8.0e-6*pi*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3))*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + + r_6 = 0.04*sqrt(5)*pi^2*eta_const*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 0.016*sqrt(5)*pi*(-0.004*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 2*sqrt(5)/5)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.00032*sqrt(5)*pi*(-0.004*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 2*sqrt(5)/5)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.008*sqrt(5)*pi*(0.008*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5)/5)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.00016*sqrt(5)*pi*(0.008*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5)/5)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.04*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + + r_7 = -0.02*sqrt(5)*pi^2*eta_const*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) - 0.008*sqrt(5)*pi*(-0.004*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 2*sqrt(5)/5)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.00016*sqrt(5)*pi*(-0.004*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 2*sqrt(5)/5)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.004*sqrt(5)*pi*(0.008*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5)/5)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 8.0e-5*sqrt(5)*pi*(0.008*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5)/5)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.02*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + + r_8 = -eta_const*(0.1*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 0.002*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.004*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 8.0e-5*pi^2*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^3 - 0.002*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.004*pi^2*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) - 8.0e-5*pi^2*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)^2/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2) - 0.04*pi*(-0.004*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 2*sqrt(5)/5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.0008*pi*(-0.004*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + 2*sqrt(5)/5)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.02*pi*(0.008*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5)/5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.0004*pi*(0.008*sqrt(5)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5)) + sqrt(5)/5)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 - 0.02*sqrt(5)*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*cos(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + 0.0004*sqrt(5)*pi*(-0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) - 1)*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1)^2 + 0.0004*sqrt(5)*pi*sin(sqrt(5)*pi*t - sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5))*sin(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1)/(0.02*cos(-sqrt(5)*pi*t + sqrt(5)*pi*(sqrt(5)*(x[1] - 1.0)/5 + 2*sqrt(5)*(x[2] - 1.0)/5) + 1) + 1) + + r_9 = 0.0 + + return SVector(r_1, r_2, r_3, r_4, r_5, r_6, r_7, r_8, r_9) end initial_condition = initial_condition_constant_alfven @@ -114,7 +114,7 @@ semi = SemidiscretizationHyperbolicParabolic(mesh, (equations, equations_parabol # ODE solvers, callbacks etc. # Create ODE problem with time span `tspan` -tspan = (0.0, 1.5) +tspan = (0.0, 0.01) ode = semidiscretize(semi, tspan) # At the beginning of the main loop, the SummaryCallback prints a summary of the simulation setup @@ -132,7 +132,7 @@ save_solution = SaveSolutionCallback(interval = 100, cfl = 0.1 stepsize_callback = StepsizeCallback(cfl = cfl) -glm_speed_callback = GlmSpeedCallback(glm_scale = 0.1, cfl = cfl) +glm_speed_callback = GlmSpeedCallback(glm_scale = 0.5, cfl = cfl) callbacks = CallbackSet(summary_callback, analysis_callback,