################################ # Diagram information ################################ name = "par" edges = [[1, 4], [3, 1], [3, 4], [3, 4]] nodes = [1, 1, 3, 4] internal_masses = [m[1], m[2], m[3], m[4]] external_masses = [0, 0, 0, 0] U = x[1]*x[3] + x[1]*x[4] + x[2]*x[3] + x[2]*x[4] + x[3]*x[4] F = -m[1]*x[1]^2*x[3] - m[1]*x[1]^2*x[4] + (-m[1] - m[2] + s)*x[1]*x[2]*x[3] + (-m[1] - m[2] + s)*x[1]*x[2]*x[4] - m[3]*x[1]*x[3]^2 + (-m[1] - m[3] - m[4])*x[1]*x[3]*x[4] - m[4]*x[1]*x[4]^2 - m[2]*x[2]^2*x[3] - m[2]*x[2]^2*x[4] - m[3]*x[2]*x[3]^2 + (-m[2] - m[3] - m[4])*x[2]*x[3]*x[4] - m[4]*x[2]*x[4]^2 - m[3]*x[3]^2*x[4] - m[4]*x[3]*x[4]^2 parameters = [m[1], m[2], m[3], m[4], s] variables = [x[1], x[2], x[3], x[4]] χ_generic = 13 f_vector = [15, 33, 27, 9] ################################ # Component 1 ################################ D[1] = m[1] χ[1] = 10 weights[1] = [[-1, 0, 0, 1], [-1, 0, 1, 0], [-1, 0, 0, 0]] computed_with[1] = ["PLD_sym"] ################################ # Component 2 ################################ D[2] = m[1]^2 - 2*m[1]*m[2] - 2*m[1]*s + m[2]^2 - 2*m[2]*s + s^2 χ[2] = 10 weights[2] = [[-1, -1, 0, 1], [-1, -1, 1, 0], [-1, -1, 0, 0]] computed_with[2] = ["PLD_sym", "HyperInt"] ################################ # Component 3 ################################ D[3] = m[1]^2 - 2*m[1]*m[3] - 2*m[1]*m[4] + m[3]^2 - 2*m[3]*m[4] + m[4]^2 χ[3] = 12 weights[3] = [] computed_with[3] = ["HyperInt"] ################################ # Component 4 ################################ D[4] = m[1]^2*m[2]^2 - 2*m[1]^2*m[2]*m[3] - 2*m[1]^2*m[2]*m[4] + m[1]^2*m[3]^2 - 2*m[1]^2*m[3]*m[4] + m[1]^2*m[4]^2 - 2*m[1]*m[2]^2*m[3] - 2*m[1]*m[2]^2*m[4] + 4*m[1]*m[2]*m[3]^2 + 8*m[1]*m[2]*m[3]*m[4] + 2*m[1]*m[2]*m[3]*s + 4*m[1]*m[2]*m[4]^2 + 2*m[1]*m[2]*m[4]*s - 2*m[1]*m[3]^3 + 2*m[1]*m[3]^2*m[4] - 2*m[1]*m[3]^2*s + 2*m[1]*m[3]*m[4]^2 + 4*m[1]*m[3]*m[4]*s - 2*m[1]*m[4]^3 - 2*m[1]*m[4]^2*s + m[2]^2*m[3]^2 - 2*m[2]^2*m[3]*m[4] + m[2]^2*m[4]^2 - 2*m[2]*m[3]^3 + 2*m[2]*m[3]^2*m[4] - 2*m[2]*m[3]^2*s + 2*m[2]*m[3]*m[4]^2 + 4*m[2]*m[3]*m[4]*s - 2*m[2]*m[4]^3 - 2*m[2]*m[4]^2*s + m[3]^4 - 4*m[3]^3*m[4] + 2*m[3]^3*s + 6*m[3]^2*m[4]^2 - 2*m[3]^2*m[4]*s + m[3]^2*s^2 - 4*m[3]*m[4]^3 - 2*m[3]*m[4]^2*s - 2*m[3]*m[4]*s^2 + m[4]^4 + 2*m[4]^3*s + m[4]^2*s^2 χ[4] = 12 weights[4] = [[-1, -1, -1, -1]] computed_with[4] = ["PLD_num", "HyperInt"] ################################ # Component 5 ################################ D[5] = m[2] χ[5] = 10 weights[5] = [[0, -1, 0, 1], [0, -1, 1, 0], [0, -1, 0, 0]] computed_with[5] = ["PLD_sym", "PLD_num"] ################################ # Component 6 ################################ D[6] = m[2]^2 - 2*m[2]*m[3] - 2*m[2]*m[4] + m[3]^2 - 2*m[3]*m[4] + m[4]^2 χ[6] = 12 weights[6] = [] computed_with[6] = ["HyperInt"] ################################ # Component 7 ################################ D[7] = m[3] χ[7] = 8 weights[7] = [[0, 1, -1, 1], [1, 0, -1, 1], [1, 1, -1, 0], [0, 0, -1, 1], [0, 1, -1, 0], [1, 0, -1, 0], [0, 0, -1, 0]] computed_with[7] = ["PLD_sym", "PLD_num"] ################################ # Component 8 ################################ D[8] = m[4] χ[8] = 8 weights[8] = [[0, 1, 1, -1], [1, 0, 1, -1], [1, 1, 0, -1], [0, 0, 1, -1], [0, 1, 0, -1], [1, 0, 0, -1], [0, 0, 0, -1]] computed_with[8] = ["PLD_sym", "PLD_num"] ################################ # Component 9 ################################ D[9] = s χ[9] = 7 weights[9] = [[-1, -1, -1, 0], [0, 0, 1, 2], [-1, -1, 0, -1], [0, 0, 2, 1], [-1, -1, -1, -1], [0, 0, 1, 1], [0, 0, 0, 1], [0, 0, 1, 0], [0, 0, 0, 0]] computed_with[9] = ["PLD_sym", "PLD_num"]