################################ # Diagram information ################################ name = "kite" edges = [[1, 3], [2, 3], [2, 4], [1, 4], [3, 4]] nodes = [1, 1, 2, 2] internal_masses = [m[1], m[2], m[3], m[4], m[5]] external_masses = [M[1], M[2], M[3], M[4]] U = x[1]*x[2] + x[1]*x[3] + x[1]*x[5] + x[2]*x[4] + x[2]*x[5] + x[3]*x[4] + x[3]*x[5] + x[4]*x[5] F = -m[1]*x[1]^2*x[2] - m[1]*x[1]^2*x[3] - m[1]*x[1]^2*x[5] - m[2]*x[1]*x[2]^2 + (-m[2] - m[3] + s)*x[1]*x[2]*x[3] + (-m[1] - m[4] + s)*x[1]*x[2]*x[4] + (-m[1] - m[2] - m[5])*x[1]*x[2]*x[5] - m[3]*x[1]*x[3]^2 + (-m[1] - m[4] + s)*x[1]*x[3]*x[4] + (-m[1] - m[3] - m[5] + s)*x[1]*x[3]*x[5] + (-m[1] - m[4] + s)*x[1]*x[4]*x[5] - m[5]*x[1]*x[5]^2 - m[2]*x[2]^2*x[4] - m[2]*x[2]^2*x[5] + (-m[2] - m[3] + s)*x[2]*x[3]*x[4] + (-m[2] - m[3] + s)*x[2]*x[3]*x[5] - m[4]*x[2]*x[4]^2 + (-m[2] - m[4] - m[5] + s)*x[2]*x[4]*x[5] - m[5]*x[2]*x[5]^2 - m[3]*x[3]^2*x[4] - m[3]*x[3]^2*x[5] - m[4]*x[3]*x[4]^2 + (-m[3] - m[4] - m[5])*x[3]*x[4]*x[5] - m[5]*x[3]*x[5]^2 - m[4]*x[4]^2*x[5] - m[5]*x[4]*x[5]^2 parameters = [m[1], m[2], m[3], m[4], m[5], s] variables = [x[1], x[2], x[3], x[4], x[5]] χ_generic = 30 f_vector = [24, 66, 73, 39, 10] ################################ # Component 1 ################################ D[1] = m[1] χ[1] = 24 weights[1] = [[-1, 0, 1, 0, 1], [-1, 1, 0, 0, 1], [-1, 1, 1, 0, 0], [-1, 0, 0, 0, 1], [-1, 0, 1, 0, 0], [-1, 1, 0, 0, 0], [-1, 0, 0, 0, 0]] computed_with[1] = ["PLD_sym"] ################################ # Component 2 ################################ D[2] = m[1]^2 - 2*m[1]*m[2] - 2*m[1]*m[5] + m[2]^2 - 2*m[2]*m[5] + m[5]^2 χ[2] = 27 weights[2] = [] computed_with[2] = ["HyperInt"] ################################ # Component 3 ################################ D[3] = m[1]^2 - 2*m[1]*m[4] - 2*m[1]*s + m[4]^2 - 2*m[4]*s + s^2 χ[3] = 24 weights[3] = [[-1, 0, 1, -1, 1], [-1, 1, 0, -1, 1], [-1, 1, 1, -1, 0], [-1, 0, 0, -1, 1], [-1, 0, 1, -1, 0], [-1, 1, 0, -1, 0], [-1, 0, 0, -1, 0]] computed_with[3] = ["PLD_sym", "PLD_num", "HyperInt"] ################################ # Component 4 ################################ D[4] = m[1]^2*m[3] - m[1]*m[2]*m[3] - m[1]*m[2]*m[4] + m[1]*m[2]*m[5] + m[1]*m[3]^2 - m[1]*m[3]*m[4] - m[1]*m[3]*m[5] - m[1]*m[3]*s + m[1]*m[4]*s - m[1]*m[5]*s + m[2]^2*m[4] - m[2]*m[3]*m[4] + m[2]*m[3]*s + m[2]*m[4]^2 - m[2]*m[4]*m[5] - m[2]*m[4]*s - m[2]*m[5]*s + m[3]*m[4]*m[5] - m[3]*m[5]*s - m[4]*m[5]*s + m[5]^2*s + m[5]*s^2 χ[4] = 29 weights[4] = [] computed_with[4] = ["HyperInt"] ################################ # Component 5 ################################ D[5] = m[1]^4 - 4*m[1]^3*m[3] - 4*m[1]^3*m[5] - 4*m[1]^3*s + 6*m[1]^2*m[3]^2 + 4*m[1]^2*m[3]*m[5] + 4*m[1]^2*m[3]*s + 6*m[1]^2*m[5]^2 + 4*m[1]^2*m[5]*s + 6*m[1]^2*s^2 - 4*m[1]*m[3]^3 + 4*m[1]*m[3]^2*m[5] + 4*m[1]*m[3]^2*s + 4*m[1]*m[3]*m[5]^2 - 40*m[1]*m[3]*m[5]*s + 4*m[1]*m[3]*s^2 - 4*m[1]*m[5]^3 + 4*m[1]*m[5]^2*s + 4*m[1]*m[5]*s^2 - 4*m[1]*s^3 + m[3]^4 - 4*m[3]^3*m[5] - 4*m[3]^3*s + 6*m[3]^2*m[5]^2 + 4*m[3]^2*m[5]*s + 6*m[3]^2*s^2 - 4*m[3]*m[5]^3 + 4*m[3]*m[5]^2*s + 4*m[3]*m[5]*s^2 - 4*m[3]*s^3 + m[5]^4 - 4*m[5]^3*s + 6*m[5]^2*s^2 - 4*m[5]*s^3 + s^4 χ[5] = 29 weights[5] = [[-1, 0, -1, 0, -1]] computed_with[5] = ["PLD_num", "HyperInt"] ################################ # Component 6 ################################ D[6] = m[2] χ[6] = 24 weights[6] = [[0, -1, 0, 1, 1], [1, -1, 0, 0, 1], [1, -1, 0, 1, 0], [0, -1, 0, 0, 1], [0, -1, 0, 1, 0], [1, -1, 0, 0, 0], [0, -1, 0, 0, 0]] computed_with[6] = ["PLD_sym", "PLD_num"] ################################ # Component 7 ################################ D[7] = m[2]^2 - 2*m[2]*m[3] - 2*m[2]*s + m[3]^2 - 2*m[3]*s + s^2 χ[7] = 24 weights[7] = [[0, -1, -1, 1, 1], [1, -1, -1, 0, 1], [1, -1, -1, 1, 0], [0, -1, -1, 0, 1], [0, -1, -1, 1, 0], [1, -1, -1, 0, 0], [0, -1, -1, 0, 0]] computed_with[7] = ["PLD_sym", "PLD_num", "HyperInt"] ################################ # Component 8 ################################ D[8] = m[2]^4 - 4*m[2]^3*m[4] - 4*m[2]^3*m[5] - 4*m[2]^3*s + 6*m[2]^2*m[4]^2 + 4*m[2]^2*m[4]*m[5] + 4*m[2]^2*m[4]*s + 6*m[2]^2*m[5]^2 + 4*m[2]^2*m[5]*s + 6*m[2]^2*s^2 - 4*m[2]*m[4]^3 + 4*m[2]*m[4]^2*m[5] + 4*m[2]*m[4]^2*s + 4*m[2]*m[4]*m[5]^2 - 40*m[2]*m[4]*m[5]*s + 4*m[2]*m[4]*s^2 - 4*m[2]*m[5]^3 + 4*m[2]*m[5]^2*s + 4*m[2]*m[5]*s^2 - 4*m[2]*s^3 + m[4]^4 - 4*m[4]^3*m[5] - 4*m[4]^3*s + 6*m[4]^2*m[5]^2 + 4*m[4]^2*m[5]*s + 6*m[4]^2*s^2 - 4*m[4]*m[5]^3 + 4*m[4]*m[5]^2*s + 4*m[4]*m[5]*s^2 - 4*m[4]*s^3 + m[5]^4 - 4*m[5]^3*s + 6*m[5]^2*s^2 - 4*m[5]*s^3 + s^4 χ[8] = 29 weights[8] = [[0, -1, 0, -1, -1]] computed_with[8] = ["PLD_num", "HyperInt"] ################################ # Component 9 ################################ D[9] = m[3] χ[9] = 24 weights[9] = [[0, 0, -1, 1, 1], [1, 0, -1, 0, 1], [1, 0, -1, 1, 0], [0, 0, -1, 0, 1], [0, 0, -1, 1, 0], [1, 0, -1, 0, 0], [0, 0, -1, 0, 0]] computed_with[9] = ["PLD_sym", "PLD_num"] ################################ # Component 10 ################################ D[10] = m[3]^2 - 2*m[3]*m[4] - 2*m[3]*m[5] + m[4]^2 - 2*m[4]*m[5] + m[5]^2 χ[10] = 27 weights[10] = [] computed_with[10] = ["HyperInt"] ################################ # Component 11 ################################ D[11] = m[4] χ[11] = 24 weights[11] = [[0, 0, 1, -1, 1], [0, 1, 0, -1, 1], [0, 1, 1, -1, 0], [0, 0, 0, -1, 1], [0, 0, 1, -1, 0], [0, 1, 0, -1, 0], [0, 0, 0, -1, 0]] computed_with[11] = ["PLD_sym", "PLD_num"] ################################ # Component 12 ################################ D[12] = m[5] χ[12] = 22 weights[12] = [[0, 1, 1, 1, -1], [1, 0, 1, 1, -1], [1, 1, 0, 1, -1], [1, 1, 1, 0, -1], [0, 0, 1, 1, -1], [0, 1, 0, 1, -1], [0, 1, 1, 0, -1], [1, 0, 0, 1, -1], [1, 0, 1, 0, -1], [1, 1, 0, 0, -1], [0, 0, 0, 1, -1], [0, 0, 1, 0, -1], [0, 1, 0, 0, -1], [1, 0, 0, 0, -1], [0, 0, 0, 0, -1]] computed_with[12] = ["PLD_sym", "PLD_num"] ################################ # Component 13 ################################ D[13] = s χ[13] = 12 weights[13] = [[-1, -1, -1, 0, 0], [-1, -1, 0, -1, 0], [0, 1, 2, 0, 2], [-1, 0, -1, 0, -1], [-1, 0, -1, -1, 0], [0, 2, 1, 0, 2], [-1, 0, 0, -1, -1], [0, 2, 2, 0, 1], [1, 0, 0, 2, 2], [0, -1, 0, -1, -1], [0, -1, -1, -1, 0], [2, 0, 0, 1, 2], [0, -1, -1, 0, -1], [2, 0, 0, 2, 1], [-1, -1, -1, 0, -1], [0, 0, 0, 1, 1], [-1, -1, -1, -1, 0], [0, 1, 1, 0, 2], [-1, -1, 0, -1, -1], [0, 1, 2, 0, 1], [0, 0, 1, 0, 1], [0, 1, 0, 1, 0], [-1, 0, -1, -1, -1], [0, 2, 1, 0, 1], [0, 1, 0, 0, 1], [0, 1, 1, 0, 0], [1, 0, 0, 1, 2], [1, 0, 0, 2, 1], [1, 0, 1, 0, 0], [0, -1, -1, -1, -1], [2, 0, 0, 1, 1], [1, 0, 0, 0, 1], [1, 0, 0, 1, 0], [-1, -1, -1, -1, -1], [0, 0, 0, 1, 0], [0, 1, 1, 0, 1], [0, 0, 0, 0, 1], [0, 0, 1, 0, 0], [0, 1, 0, 0, 0], [1, 0, 0, 1, 1], [1, 0, 0, 0, 0], [0, 0, 0, 0, 0]] computed_with[13] = ["PLD_sym", "PLD_num"]