################################ # Diagram information ################################ name = "env" edges = [[1, 4], [1, 2], [2, 3], [3, 4], [1, 3], [2, 4]] nodes = [1, 2, 3, 4] internal_masses = [0, 0, 0, 0, 0, 0] external_masses = [M2, M2, M2, M2] U = x[1]*x[2]*x[3] + x[1]*x[2]*x[4] + x[1]*x[2]*x[6] + x[1]*x[3]*x[4] + x[1]*x[3]*x[5] + x[1]*x[3]*x[6] + x[1]*x[4]*x[5] + x[1]*x[5]*x[6] + x[2]*x[3]*x[4] + x[2]*x[3]*x[5] + x[2]*x[4]*x[5] + x[2]*x[4]*x[6] + x[2]*x[5]*x[6] + x[3]*x[4]*x[6] + x[3]*x[5]*x[6] + x[4]*x[5]*x[6] F = (4*M2 - s - t)*x[1]*x[2]*x[3]*x[4] + M2*x[1]*x[2]*x[3]*x[5] + M2*x[1]*x[2]*x[3]*x[6] + M2*x[1]*x[2]*x[4]*x[5] + M2*x[1]*x[2]*x[4]*x[6] + M2*x[1]*x[2]*x[5]*x[6] + M2*x[1]*x[3]*x[4]*x[5] + M2*x[1]*x[3]*x[4]*x[6] + s*x[1]*x[3]*x[5]*x[6] + M2*x[1]*x[4]*x[5]*x[6] + M2*x[2]*x[3]*x[4]*x[5] + M2*x[2]*x[3]*x[4]*x[6] + M2*x[2]*x[3]*x[5]*x[6] + t*x[2]*x[4]*x[5]*x[6] + M2*x[3]*x[4]*x[5]*x[6] parameters = [M2, s, t] variables = [x[1], x[2], x[3], x[4], x[5], x[6]] χ_generic = 56 f_vector = [31, 162, 296, 247, 100, 18] ################################ # Component 1 ################################ D[1] = M2 χ[1] = 10 weights[1] = [[-2, -2, -1, 1, -2, 1], [-1, -2, -2, 1, 1, -2], [-2, -2, 1, -1, -2, 1], [-2, -1, 1, -2, 1, -2], [-2, -2, 1, 1, -2, -1], [-1, 1, -2, -2, -2, 1], [-2, 1, -1, -2, 1, -2], [-2, 1, 1, -2, -1, -2], [1, -1, -2, -2, -2, 1], [1, -2, -2, -1, 1, -2], [1, -2, -2, 1, -1, -2], [1, 1, -2, -2, -2, -1], [-2, -2, -2, 0, -1, -1], [-2, -2, 0, 0, -2, 1], [-2, -2, 0, 1, -2, 0], [-2, -1, -2, -1, -2, 0], [-1, -2, -2, -1, -2, 0], [-1, -2, -2, 0, -2, -1], [-2, -2, -1, -1, 0, -2], [-2, -2, -1, 0, -1, -2], [-2, -1, -2, -1, 0, -2], [0, -2, -2, 0, 1, -2], [0, -2, -2, 1, 0, -2], [-2, -2, 0, -2, -1, -1], [-2, -2, 1, 0, -2, 0], [-2, -1, -1, -2, -2, 0], [-2, -1, 0, -2, -2, -1], [-1, -2, -1, -2, -2, 0], [-2, -2, 0, -1, -1, -2], [-2, 0, 0, -2, 1, -2], [-2, 0, 1, -2, 0, -2], [-1, -2, -1, -2, 0, -2], [-2, -1, 0, -1, -2, -2], [-1, -2, -1, 0, -2, -2], [-2, 0, -2, -2, -1, -1], [-2, 0, -1, -2, -2, -1], [0, 0, -2, -2, -2, 1], [0, 1, -2, -2, -2, 0], [-2, 1, 0, -2, 0, -2], [-1, -1, -2, -2, 0, -2], [-1, 0, -2, -2, -1, -2], [-1, 0, -1, -2, -2, -2], [0, -2, -2, -2, -1, -1], [0, -2, -2, -1, -2, -1], [1, 0, -2, -2, -2, 0], [1, -2, -2, 0, 0, -2], [0, -1, -2, -2, -1, -2], [0, -1, -2, -1, -2, -2], [-2, -2, -1, 0, -1, -1], [-1, -2, -2, 0, -1, -1], [-2, -2, 0, 0, -2, 0], [-2, -1, -1, -1, -2, 0], [-1, -2, -1, -1, -2, 0], [-1, -2, -1, 0, -2, -1], [-1, -1, -2, -1, -2, 0], [-1, -2, -2, -1, -2, -1], [-2, -2, -1, -1, -1, -2], [-2, -1, -1, -1, 0, -2], [-1, -2, -1, -1, 0, -2], [-1, -2, -1, 0, -1, -2], [-1, -1, -2, -1, 0, -2], [0, -2, -2, 0, 0, -2], [-2, -2, 0, -1, -1, -1], [-2, -1, 0, -2, -1, -1], [-2, -1, 0, -1, -2, -1], [-2, -1, -1, -2, -2, -1], [-1, -1, -1, -2, -2, 0], [-2, -1, 0, -1, -1, -2], [-2, 0, 0, -2, 0, -2], [-1, -1, -1, -2, 0, -2], [-2, 0, -1, -2, -1, -1], [-1, 0, -2, -2, -1, -1], [-1, 0, -1, -2, -2, -1], [0, 0, -2, -2, -2, 0], [-1, 0, -1, -2, -1, -2], [-1, -1, -2, -2, -1, -2], [0, -2, -2, -1, -1, -1], [0, -1, -2, -2, -1, -1], [0, -1, -2, -1, -2, -1], [0, -1, -2, -1, -1, -2], [-1, -2, -1, 0, -1, -1], [-1, -1, -1, -1, -2, 0], [-1, -1, -1, -1, 0, -2], [-2, -1, 0, -1, -1, -1], [-1, 0, -1, -2, -1, -1], [0, -1, -2, -1, -1, -1], [0, -1, 0, 1, 0, 0], [0, 0, 0, 0, -1, 1], [0, 0, 0, 0, 1, -1], [-1, 0, 1, 0, 0, 0], [0, 1, 0, -1, 0, 0], [1, 0, -1, 0, 0, 0]] computed_with[1] = ["PLD_sym"] ################################ # Component 2 ################################ D[2] = M2 - 1//4*s χ[2] = 46 weights[2] = [[-1, 0, -1, 1, 0, 0], [-2, -1, -1, -1, -2, -1], [-1, -1, -2, -1, -2, -1], [0, 0, -1, 1, -1, 0], [-2, -1, -1, -1, -1, -2], [-1, 0, 0, 1, 0, -1], [-1, -1, -2, -1, -1, -2], [0, 0, 0, 1, -1, -1], [-1, 1, -1, 0, 0, 0], [-1, 1, 0, 0, -1, 0], [0, 1, -1, 0, 0, -1], [0, 1, 0, 0, -1, -1], [-1, 0, 0, 1, 0, 0], [0, 0, -1, 1, 0, 0], [-1, 0, 0, 0, -1, 0], [0, 0, 0, 1, -1, 0], [0, 0, -1, 0, -1, 0], [-1, 0, 0, 0, 0, -1], [0, 0, 0, 1, 0, -1], [0, 0, -1, 0, 0, -1], [-1, 1, 0, 0, 0, 0], [0, 1, -1, 0, 0, 0], [0, 1, 0, 0, -1, 0], [0, 1, 0, 0, 0, -1], [0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0]] computed_with[2] = ["PLD_sym", "PLD_num", "HyperInt"] ################################ # Component 3 ################################ D[3] = M2 - 1//4*s - 1//4*t χ[3] = 28 weights[3] = [[-2, -2, -2, -2, 0, 0], [-1, -1, 0, 0, 0, 1], [0, -1, -1, 0, 1, 0], [-1, 0, 0, -1, 1, 0], [0, 0, -1, -1, 0, 1], [-1, -1, -1, -1, -2, -1], [-1, -1, -1, -1, -1, -2], [0, 0, 0, 0, -1, -1], [-1, -1, -1, -1, -1, -1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0]] computed_with[3] = ["PLD_sym", "PLD_num", "HyperInt"] ################################ # Component 4 ################################ D[4] = M2 - 1//4*t χ[4] = 46 weights[4] = [[-1, -2, -1, -1, -2, -1], [-1, -2, -1, -1, -1, -2], [0, -1, 1, -1, 0, 0], [-1, -1, -1, -2, -2, -1], [0, 0, 1, -1, -1, 0], [0, -1, 1, 0, 0, -1], [-1, -1, -1, -2, -1, -2], [0, 0, 1, 0, -1, -1], [1, -1, 0, -1, 0, 0], [1, -1, 0, 0, -1, 0], [1, 0, 0, -1, 0, -1], [1, 0, 0, 0, -1, -1], [0, -1, 0, 0, -1, 0], [0, -1, 0, 0, 0, -1], [0, -1, 1, 0, 0, 0], [0, 0, 1, -1, 0, 0], [0, 0, 1, 0, -1, 0], [0, 0, 0, -1, -1, 0], [0, 0, 1, 0, 0, -1], [0, 0, 0, -1, 0, -1], [1, -1, 0, 0, 0, 0], [1, 0, 0, -1, 0, 0], [1, 0, 0, 0, -1, 0], [1, 0, 0, 0, 0, -1], [0, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0]] computed_with[4] = ["PLD_sym", "PLD_num", "HyperInt"] ################################ # Component 5 ################################ D[5] = M2^2 - 1//4*s*t χ[5] = 55 weights[5] = [[-1, -1, -1, -1, -2, -2]] computed_with[5] = ["PLD_sym", "HyperInt"] ################################ # Component 6 ################################ D[6] = M2^2 - M2*s + 1//4*s^2 + 1//4*s*t χ[6] = 55 weights[6] = [[-2, -1, -2, -1, -1, -1]] computed_with[6] = ["PLD_sym", "HyperInt"] ################################ # Component 7 ################################ D[7] = M2^2 - M2*t + 1//4*s*t + 1//4*t^2 χ[7] = 55 weights[7] = [[-1, -2, -1, -2, -1, -1]] computed_with[7] = ["PLD_sym", "PLD_num", "HyperInt"] ################################ # Component 8 ################################ D[8] = s χ[8] = 28 weights[8] = [[-2, 0, -2, 0, -2, -2], [-1, 0, 0, 1, -1, 0], [0, 0, -1, 1, 0, -1], [0, 1, -1, 0, -1, 0], [-1, 1, 0, 0, 0, -1], [-1, -2, -1, -1, -1, -1], [0, -1, 0, -1, 0, 0], [-1, -1, -1, -2, -1, -1], [0, -1, 0, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 0, -1, 0, 0], [0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]] computed_with[8] = ["PLD_sym", "PLD_num"] ################################ # Component 9 ################################ D[9] = s + t χ[9] = 46 weights[9] = [[-2, -2, -1, -1, -1, -1], [-1, -2, -2, -1, -1, -1], [-1, 0, -1, 0, 0, 1], [0, -1, -1, 0, 0, 1], [-1, -1, 0, 0, 1, 0], [-1, 0, -1, 0, 1, 0], [-2, -1, -1, -2, -1, -1], [-1, 0, 0, -1, 0, 1], [0, -1, 0, -1, 0, 1], [0, -1, 0, -1, 1, 0], [-1, -1, -2, -2, -1, -1], [0, 0, -1, -1, 1, 0], [-1, -1, 0, 0, 0, 0], [0, -1, -1, 0, 0, 0], [-1, 0, 0, 0, 0, 1], [0, -1, 0, 0, 0, 1], [0, 0, -1, 0, 0, 1], [-1, 0, 0, 0, 1, 0], [0, -1, 0, 0, 1, 0], [0, 0, -1, 0, 1, 0], [-1, 0, 0, -1, 0, 0], [0, 0, 0, -1, 0, 1], [0, 0, 0, -1, 1, 0], [0, 0, -1, -1, 0, 0], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0]] computed_with[9] = ["PLD_sym", "PLD_num", "HyperInt"] ################################ # Component 10 ################################ D[10] = t χ[10] = 28 weights[10] = [[0, -2, 0, -2, -2, -2], [0, -1, 1, 0, -1, 0], [0, 0, 1, -1, 0, -1], [1, 0, 0, -1, -1, 0], [1, -1, 0, 0, 0, -1], [-1, 0, -1, 0, 0, 0], [-2, -1, -1, -1, -1, -1], [-1, -1, -2, -1, -1, -1], [-1, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0], [-1, -1, -1, -1, -1, -1], [0, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]] computed_with[10] = ["PLD_sym", "PLD_num"]