################################ # Diagram information ################################ name = "par" edges = [[1, 4], [3, 1], [3, 4], [3, 4]] nodes = [1, 1, 3, 4] internal_masses = [m2, m2, m2, m2] external_masses = [M2, M2, M2, M2] U = x[1]*x[3] + x[1]*x[4] + x[2]*x[3] + x[2]*x[4] + x[3]*x[4] F = -m2*x[1]^2*x[3] - m2*x[1]^2*x[4] + (-2*m2 + s)*x[1]*x[2]*x[3] + (-2*m2 + s)*x[1]*x[2]*x[4] - m2*x[1]*x[3]^2 + (M2 - 3*m2)*x[1]*x[3]*x[4] - m2*x[1]*x[4]^2 - m2*x[2]^2*x[3] - m2*x[2]^2*x[4] - m2*x[2]*x[3]^2 + (M2 - 3*m2)*x[2]*x[3]*x[4] - m2*x[2]*x[4]^2 - m2*x[3]^2*x[4] - m2*x[3]*x[4]^2 parameters = [M2, m2, s] variables = [x[1], x[2], x[3], x[4]] χ_generic = 19 f_vector = [15, 33, 27, 9] ################################ # Component 1 ################################ D[1] = M2 χ[1] = 13 weights[1] = [[-1, 0, -1, -1], [0, -1, -1, -1], [0, 1, 0, 0], [1, 0, 0, 0]] computed_with[1] = ["PLD_sym", "PLD_num"] ################################ # Component 2 ################################ D[2] = M2 - 1//4*s χ[2] = 16 weights[2] = [[-1, -1, -1, -1], [0, 0, 0, 0]] computed_with[2] = ["PLD_num", "HyperInt"] ################################ # Component 3 ################################ D[3] = M2 - 9*m2 χ[3] = 17 weights[3] = [[-1, 0, -1, -1], [0, -1, -1, -1]] computed_with[3] = ["PLD_sym", "HyperInt"] ################################ # Component 4 ################################ D[4] = M2 - m2 χ[4] = 11 weights[4] = [[-1, 0, -1, -1], [0, -1, -1, -1], [-1, -1, -1, -1]] computed_with[4] = ["PLD_sym", "PLD_num", "HyperInt"] ################################ # Component 5 ################################ D[5] = M2^2 - 10*M2*m2 + 9*m2^2 + 4*m2*s χ[5] = 18 weights[5] = [[-1, -1, -1, -1]] computed_with[5] = ["PLD_num", "HyperInt"] ################################ # Component 6 ################################ D[6] = m2 χ[6] = 4 weights[6] = [[-1, 0, 0, 1], [-1, 0, 1, 0], [0, 1, -1, 1], [0, 1, 1, -1], [0, -1, 0, 1], [0, -1, 1, 0], [1, 0, -1, 1], [1, 0, 1, -1], [1, 1, -1, 0], [1, 1, 0, -1], [-1, 0, 0, 0], [-1, 0, -1, 0], [-1, 0, 0, -1], [0, 0, -1, 1], [0, 1, -1, 0], [0, 0, 1, -1], [0, 1, 0, -1], [0, -1, 0, 0], [0, -1, -1, 0], [0, -1, 0, -1], [1, 0, -1, 0], [1, 0, 0, -1], [0, 0, -1, -1], [0, 0, -1, 0], [0, 0, 0, -1]] computed_with[6] = ["PLD_sym"] ################################ # Component 7 ################################ D[7] = m2 - 1//4*s χ[7] = 16 weights[7] = [[-1, -1, 0, 1], [-1, -1, 1, 0], [-1, -1, 0, 0]] computed_with[7] = ["PLD_sym", "HyperInt"] ################################ # Component 8 ################################ D[8] = s χ[8] = 7 weights[8] = [[-1, -1, 0, 1], [-1, -1, 1, 0], [-1, -1, 0, 0], [0, 0, 0, 1], [0, 0, 1, 0]] computed_with[8] = ["PLD_sym", "PLD_num"]