Magma V2.22-2 Sun Aug 9 2020 22:19:50 on zickert [Seed = 625604486] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L13n10394__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n10394 degenerate_solution 8.99735216 oriented_manifold CS_unknown 3 0 torus 0.000000000000 -0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000001942 0.500000001849 0 5 2 6 0132 0132 2031 0132 1 2 1 2 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000041 0.000000004865 7 0 3 1 0132 0132 0321 1302 2 2 1 2 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 2 -2 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000005825 0.999999997037 4 6 2 0 3120 1302 0321 0132 2 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499999997915 0.500000001211 6 7 0 3 0132 1302 0132 3120 2 2 1 2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000002710 0.999999998050 7 1 8 9 1023 0132 0132 0132 1 1 2 1 0 0 0 0 0 0 1 -1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624999999207 0.330718913947 4 9 1 3 0132 2031 0132 2031 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1729044.680251254467 205525674.230003982782 2 5 9 4 0132 1023 2310 2031 1 2 2 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -124269588.104779899120 391831899.666308164597 10 11 10 5 0132 0132 3012 0132 1 1 1 0 0 0 0 0 1 0 0 -1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749999995901 0.661437828437 6 7 5 11 1302 3201 0132 1302 1 1 1 2 0 0 0 0 -1 0 1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625000000430 0.330718917707 8 8 12 12 0132 1230 0132 2031 1 1 0 1 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000005262 1.322875649104 12 8 9 12 2031 0132 2031 1230 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250000002934 0.661437824277 11 10 11 10 3012 1302 1302 0132 1 1 1 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000003829 0.661437830241 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_0011_0' : d['c_0011_0'], 'c_0011_1' : - d['c_0011_0'], 'c_0011_2' : - d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0110_4' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_1100_2' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_1100_1' : - d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1100_6' : - d['c_1001_0'], 'c_0101_2' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_0101_3' : - d['c_0101_2'], 'c_1010_0' : d['c_0101_2'], 'c_1001_2' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_4' : d['c_0101_2'], 'c_1001_1' : - d['c_0101_7'], 'c_1010_5' : - d['c_0101_7'], 'c_0110_2' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_1001_9' : - d['c_0101_7'], 'c_1010_1' : - d['c_0110_9'], 'c_1001_5' : - d['c_0110_9'], 'c_1001_6' : - d['c_0110_9'], 'c_1010_8' : - d['c_0110_9'], 'c_0110_9' : d['c_0110_9'], 'c_1001_11' : - d['c_0110_9'], 'c_0011_3' : d['c_0011_3'], 'c_1010_4' : - d['c_0011_3'], 'c_1010_6' : d['c_0011_3'], 'c_1100_7' : d['c_0011_3'], 'c_0011_9' : d['c_0011_3'], 'c_0110_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : - d['c_0011_4'], 'c_1010_7' : d['c_0011_4'], 'c_0101_9' : d['c_0011_4'], 'c_0101_5' : d['c_0101_10'], 'c_1001_7' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_1010_9' : - d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_1100_11' : d['c_0101_10'], 'c_0110_12' : d['c_0101_10'], 'c_1100_10' : d['c_0101_11'], 'c_1100_12' : d['c_0101_11'], 'c_1100_5' : d['c_0101_11'], 'c_1100_8' : d['c_0101_11'], 'c_1100_9' : d['c_0101_11'], 'c_1001_10' : - d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_1010_12' : - d['c_0101_11'], 'c_1001_8' : - d['c_0011_10'], 'c_1010_11' : - d['c_0011_10'], 'c_0011_8' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_11' : d['c_0011_10'], 'c_0101_12' : - d['c_0011_10'], 'c_0110_11' : d['c_0011_12'], 'c_0101_8' : d['c_0011_12'], 'c_0110_10' : d['c_0011_12'], 'c_1010_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_3_10' : d['1'], 's_2_10' : d['1'], 's_3_9' : d['1'], 's_2_8' : d['1'], 's_1_8' : d['1'], 's_0_8' : d['1'], 's_2_7' : d['1'], 's_1_6' : d['1'], 's_3_5' : d['1'], 's_2_5' : d['1'], 's_0_5' : d['1'], 's_1_4' : d['1'], 's_0_4' : - d['1'], 's_1_3' : - d['1'], 's_0_3' : d['1'], 's_2_2' : d['1'], 's_0_2' : d['1'], 's_3_1' : d['1'], 's_2_1' : d['1'], 's_1_1' : d['1'], 's_3_0' : - d['1'], 's_2_0' : - d['1'], 's_1_0' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 's_1_2' : d['1'], 's_3_3' : - d['1'], 's_2_4' : - d['1'], 's_1_5' : d['1'], 's_3_2' : d['1'], 's_2_6' : d['1'], 's_0_7' : d['1'], 's_2_3' : d['1'], 's_3_4' : d['1'], 's_3_6' : - d['1'], 's_0_6' : - d['1'], 's_3_7' : d['1'], 's_1_7' : d['1'], 's_3_8' : d['1'], 's_2_9' : d['1'], 's_0_9' : d['1'], 's_1_9' : d['1'], 's_0_10' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 's_2_11' : d['1'], 's_3_12' : d['1'], 's_1_12' : d['1'], 's_2_12' : d['1'], 's_0_12' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.050 Status: Saturating ideal ( 1 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 9 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 12 ] Status: Computing RadicalDecomposition Time: 0.090 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.680 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_7, c_0110_9, c_1001_0 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_11^4 + c_0101_11^3*c_0110_9 - 6*c_0101_10*c_0101_11*c_0110_9^2 - 6*c_0101_11^2*c_0110_9^2 + 6*c_0101_10*c_0110_9^3 + 7*c_0101_11*c_0110_9^3 + 2*c_0110_9^4, c_0101_0*c_0110_9^3 - c_0101_11^3*c_1001_0 - 7*c_0101_10*c_0101_11*c_0110_9*c_1001_0 - 5*c_0101_11^2*c_0110_9*c_1001_0 - 3*c_0101_10*c_0110_9^2*c_1001_0 + 8*c_0101_11*c_0110_9^2*c_1001_0 - 5*c_0110_9^3*c_1001_0 + c_0110_9^3, c_0110_9^2*c_1001_0^2 + 3/2*c_0101_11^3 + 9*c_0101_10*c_0101_11*c_0110_9 + 13/2*c_0101_11^2*c_0110_9 + 4*c_0101_0*c_0110_9^2 + 2*c_0101_10*c_0110_9^2 - 12*c_0101_11*c_0110_9^2 + 13/2*c_0110_9^3 - 3*c_0101_10*c_0101_11*c_1001_0 - 2*c_0101_11^2*c_1001_0 - 5*c_0101_10*c_0110_9*c_1001_0 - 2*c_0110_9^2*c_1001_0 + 3*c_0110_9^2, c_0101_0*c_0101_11^2 - 2*c_0101_10*c_0101_11*c_1001_0 - 2*c_0101_11^2*c_1001_0 + c_0101_10*c_0110_9*c_1001_0 + 2*c_0101_11*c_0110_9*c_1001_0 + c_0101_11^2, c_0101_10*c_0101_11^2 + 1/2*c_0101_11^3 + c_0101_10*c_0101_11*c_0110_9 - 1/2*c_0101_11^2*c_0110_9 - c_0101_10*c_0110_9^2 - 1/2*c_0110_9^3, c_0101_7^3 + c_0101_0*c_0101_11 - 5*c_0101_7^2 + 5*c_0011_4*c_0110_9 + c_0101_0*c_0110_9 - 3*c_0011_12*c_1001_0 + 4*c_0011_3*c_1001_0 + c_0011_4*c_1001_0 - 7*c_0101_10*c_1001_0 - 2*c_0101_11*c_1001_0 - 3*c_1001_0^2 - 9*c_0011_3 + 9*c_0011_4 + 2*c_0101_0 + 4*c_0101_10 + 3*c_0101_11 - 2*c_0101_2 + 7*c_0101_7 - 4*c_0110_9 + 3*c_1001_0 - 3, c_0101_0*c_0101_11*c_0110_9 - 1/2*c_0101_0*c_0110_9^2 + 3/2*c_0101_10*c_0101_11*c_1001_0 + c_0101_11^2*c_1001_0 + 1/2*c_0101_10*c_0110_9*c_1001_0 - 2*c_0101_11*c_0110_9*c_1001_0 + c_0110_9^2*c_1001_0 + c_0101_11*c_0110_9 - 1/2*c_0110_9^2, c_0011_3*c_0110_9^2 - c_0101_0*c_0110_9^2 + c_0101_10*c_0101_11*c_1001_0 + c_0101_11^2*c_1001_0 + c_0101_10*c_0110_9*c_1001_0 - c_0110_9^2*c_1001_0 + 2/3*c_0110_9*c_1001_0^2 + 4/3*c_0101_0*c_0101_11 - c_0101_10*c_0101_11 - 2/3*c_0101_11^2 + 2*c_0101_0*c_0110_9 - 5/3*c_0101_10*c_0110_9 - 5/3*c_0110_9^2 - 8/3*c_0101_10*c_1001_0 - 8/3*c_0101_11*c_1001_0 + 4/3*c_0101_11 + 4/3*c_0110_9, c_0011_4*c_0110_9^2 - c_0101_10*c_0110_9*c_1001_0 - 2/3*c_0110_9*c_1001_0^2 - 4/3*c_0101_0*c_0101_11 - 1/3*c_0101_11^2 - 2*c_0101_0*c_0110_9 + 2/3*c_0101_10*c_0110_9 - 1/3*c_0110_9^2 + 8/3*c_0101_10*c_1001_0 + 8/3*c_0101_11*c_1001_0 - 4/3*c_0101_11 - 4/3*c_0110_9, c_0011_3*c_0110_9*c_1001_0 - 5/3*c_0110_9*c_1001_0^2 - 4/3*c_0101_0*c_0101_11 + c_0101_10*c_0101_11 + 2/3*c_0101_11^2 + c_0011_4*c_0110_9 - c_0101_0*c_0110_9 + 5/3*c_0101_10*c_0110_9 + 2/3*c_0110_9^2 + 8/3*c_0101_10*c_1001_0 + 8/3*c_0101_11*c_1001_0 - 4/3*c_0101_11 - 4/3*c_0110_9, c_0011_4*c_0110_9*c_1001_0 + 2/3*c_0110_9*c_1001_0^2 + 4/3*c_0101_0*c_0101_11 + 1/3*c_0101_11^2 - 2*c_0011_3*c_0110_9 + 2*c_0101_0*c_0110_9 - 2/3*c_0101_10*c_0110_9 - 2/3*c_0110_9^2 - 2*c_0011_3*c_1001_0 - 8/3*c_0101_10*c_1001_0 - 11/3*c_0101_11*c_1001_0 + 2*c_0110_9*c_1001_0 + 2*c_1001_0^2 - 2*c_0011_4 - 2*c_0101_0 - c_0101_10 + 4/3*c_0101_11 + 4/3*c_0110_9, c_0011_12*c_1001_0^2 + 3*c_0101_7^2 - c_0011_4*c_0110_9 + c_0011_12*c_1001_0 - c_0011_3*c_1001_0 + c_0101_10*c_1001_0 + c_0101_2*c_1001_0 - c_1001_0^2 - c_0011_12 + 3*c_0011_3 - 4*c_0011_4 - 3*c_0101_0 - c_0101_10 - 3*c_0101_7 + c_0110_9 - c_1001_0, c_0011_3*c_1001_0^2 + c_0101_0*c_0101_11 - 4*c_0101_7^2 + 4*c_0011_4*c_0110_9 + 2*c_0101_0*c_0110_9 - 4*c_0011_12*c_1001_0 + 4*c_0011_3*c_1001_0 + c_0011_4*c_1001_0 - 6*c_0101_10*c_1001_0 - 2*c_0101_11*c_1001_0 - 4*c_1001_0^2 - 6*c_0011_3 + 8*c_0011_4 + 4*c_0101_10 + 3*c_0101_11 - 2*c_0101_2 + 8*c_0101_7 + 2*c_0110_9 + 6*c_1001_0 - 4, c_0011_4*c_1001_0^2 - 2*c_0101_7^2 - c_0011_3*c_0110_9 + c_0011_4*c_0110_9 - c_0011_12*c_1001_0 - 2*c_0011_3*c_1001_0 + c_0011_4*c_1001_0 - c_0101_10*c_1001_0 - c_0101_2*c_1001_0 + c_0110_9*c_1001_0 + 3*c_1001_0^2 + c_0011_12 - 2*c_0011_3 + 2*c_0011_4 + 2*c_0101_0 + c_0101_10 + 2*c_0101_7 - c_0110_9 + 1, c_0101_10*c_1001_0^2 + 2/3*c_0110_9*c_1001_0^2 + 4/3*c_0101_0*c_0101_11 + 1/3*c_0101_11^2 - 3*c_0011_3*c_0110_9 + 2*c_0101_0*c_0110_9 - 2/3*c_0101_10*c_0110_9 - 2/3*c_0110_9^2 - 3*c_0011_3*c_1001_0 - 8/3*c_0101_10*c_1001_0 - 11/3*c_0101_11*c_1001_0 + 4*c_0110_9*c_1001_0 + 3*c_1001_0^2 - 3*c_0011_4 - 3*c_0101_0 - c_0101_10 + 4/3*c_0101_11 + 4/3*c_0110_9, c_0101_11*c_1001_0^2 - 1/3*c_0110_9*c_1001_0^2 + 7/3*c_0101_0*c_0101_11 - c_0101_10*c_0101_11 - 2/3*c_0101_11^2 - c_0101_0*c_0110_9 - 2/3*c_0101_10*c_0110_9 - 2/3*c_0110_9^2 - 2/3*c_0101_10*c_1001_0 - 8/3*c_0101_11*c_1001_0 + 4/3*c_0101_11 - 2/3*c_0110_9, c_0101_2*c_1001_0^2 - 2*c_0101_7^2 + 2*c_0011_4*c_0110_9 - 2*c_0011_12*c_1001_0 + 2*c_0011_3*c_1001_0 - 2*c_0101_10*c_1001_0 - 2*c_1001_0^2 - 4*c_0011_3 + 4*c_0011_4 + 2*c_0101_10 + c_0101_11 - c_0101_2 + 4*c_0101_7 - c_0110_9 + 3*c_1001_0 - 2, c_1001_0^3 + c_0101_0*c_0101_11 - 4*c_0101_7^2 + 4*c_0011_4*c_0110_9 + c_0101_0*c_0110_9 - 4*c_0011_12*c_1001_0 + 4*c_0011_3*c_1001_0 - 6*c_0101_10*c_1001_0 - 2*c_0101_11*c_1001_0 - 4*c_1001_0^2 - 7*c_0011_3 + 8*c_0011_4 + 4*c_0101_10 + 3*c_0101_11 - 2*c_0101_2 + 8*c_0101_7 + 6*c_1001_0 - 4, c_0011_12^2 - c_0101_7^2 + c_0011_4*c_0110_9 + c_0011_12*c_1001_0 + c_0011_4*c_1001_0 - c_0101_10*c_1001_0 + c_1001_0^2 + c_0011_12 - 2*c_0011_3 + c_0011_4 + 2*c_0101_0 + 2*c_0101_7 - c_0110_9 + 1, c_0011_12*c_0011_3 + c_0101_7^2 + c_0011_4*c_0110_9 + c_0011_4*c_1001_0 - c_0101_10*c_1001_0 + c_0101_2*c_1001_0 - c_1001_0^2 - c_0011_12 - c_0011_3 - 2*c_0101_0 - c_0101_2 - c_0110_9 - 1, c_0011_3^2 - 2*c_0101_7^2 + c_0011_4*c_0110_9 - c_0011_12*c_1001_0 - 2*c_0011_3*c_1001_0 + c_0011_4*c_1001_0 - c_0101_10*c_1001_0 - c_0101_2*c_1001_0 + 3*c_1001_0^2 + c_0011_12 - 2*c_0011_3 + 2*c_0011_4 + 2*c_0101_0 + c_0101_10 + 2*c_0101_7 - c_0110_9 + 1, c_0011_12*c_0011_4 + c_0011_4*c_0110_9 + c_0011_4*c_1001_0 - c_0101_10*c_1001_0 - c_0011_12 - c_0011_3 + c_0011_4 - c_0101_0 - c_0101_2 + c_0101_7 - c_0110_9 - 1, c_0011_3*c_0011_4 - 3*c_0101_7^2 + c_0011_4*c_0110_9 - c_0011_12*c_1001_0 - c_0011_4*c_1001_0 - c_0101_10*c_1001_0 - 2*c_0101_2*c_1001_0 + 3*c_1001_0^2 + 2*c_0011_12 - 2*c_0011_3 + 3*c_0011_4 + 4*c_0101_0 - c_0101_11 + c_0101_2 + 3*c_0101_7 + c_1001_0 + 1, c_0011_4^2 - c_0101_7^2 - 2*c_0011_4*c_0110_9 - 2*c_0011_3*c_1001_0 - 2*c_0011_4*c_1001_0 + 2*c_0101_10*c_1001_0 - 3*c_0101_2*c_1001_0 + 4*c_1001_0^2 + 2*c_0011_12 + 2*c_0011_3 - 3*c_0011_4 + 2*c_0101_0 - 3*c_0101_10 - 2*c_0101_11 + 2*c_0101_2 + 2*c_0110_9 + 2, c_0011_12*c_0101_0 - c_0101_7^2 - c_0011_12*c_1001_0 - c_0101_2*c_1001_0 + c_1001_0^2 + c_0011_12 - c_0011_3 + c_0011_4 + c_0101_0 + c_0101_7 + c_1001_0, c_0011_3*c_0101_0 - c_0011_4*c_1001_0 - c_0110_9, c_0011_4*c_0101_0 + 2*c_0101_7^2 - c_0011_4*c_0110_9 + c_0011_12*c_1001_0 - c_0011_4*c_1001_0 + c_0101_10*c_1001_0 + c_0101_2*c_1001_0 - 2*c_1001_0^2 - c_0011_12 + 2*c_0011_3 - 2*c_0011_4 - 3*c_0101_0 - c_0101_10 - 2*c_0101_7 + c_0110_9 - 1, c_0101_0^2 + c_0011_3*c_1001_0 - c_1001_0^2 + c_0101_0, c_0011_12*c_0101_10 - c_0011_4*c_0110_9 + c_0011_3*c_1001_0 + c_0101_10*c_1001_0 - c_1001_0^2 + c_0011_4 + c_0101_0 + c_0101_10 + c_0101_11 + c_0110_9, c_0011_3*c_0101_10 - c_0101_0*c_0101_11 - c_0011_4*c_0110_9 + c_0101_0*c_0110_9 - c_0101_10*c_1001_0 + c_0110_9, c_0011_4*c_0101_10 - 2*c_0101_0*c_0101_11 + c_0011_3*c_0110_9 + 3*c_0011_3*c_1001_0 + 3*c_0101_11*c_1001_0 + 2*c_0101_2*c_1001_0 - 3*c_0110_9*c_1001_0 - 4*c_1001_0^2 + 3*c_0011_4 + 2*c_0101_0 + 2*c_0101_10, c_0101_0*c_0101_10 + c_0011_3*c_0110_9 + c_0011_3*c_1001_0 + c_0101_11*c_1001_0 - 2*c_0110_9*c_1001_0 - c_1001_0^2 + c_0011_4 + c_0101_0 + c_0101_10, c_0101_10^2 + 2*c_0101_10*c_0101_11 + c_0101_11^2 - c_0101_11*c_0110_9, c_0011_12*c_0101_11 + c_0011_4*c_0110_9 - c_0011_3*c_1001_0 - c_0101_10*c_1001_0 + c_1001_0^2 - c_0011_4 - c_0101_0 - c_0101_10 - c_0110_9, c_0011_3*c_0101_11 + 2*c_0101_0*c_0101_11 - c_0011_3*c_0110_9 - 2*c_0011_3*c_1001_0 - 3*c_0101_11*c_1001_0 - 2*c_0101_2*c_1001_0 + 2*c_0110_9*c_1001_0 + 3*c_1001_0^2 - 2*c_0011_4 - c_0101_0 - 2*c_0101_10, c_0011_4*c_0101_11 + 2*c_0101_0*c_0101_11 - 2*c_0011_3*c_0110_9 - c_0011_4*c_0110_9 + c_0101_0*c_0110_9 - 4*c_0011_3*c_1001_0 - 4*c_0101_11*c_1001_0 - 4*c_0101_2*c_1001_0 + 4*c_0110_9*c_1001_0 + 6*c_1001_0^2 - 4*c_0011_4 - 2*c_0101_0 - 4*c_0101_10 - c_0101_11 + c_0110_9, c_0011_12*c_0101_2 - c_0011_4*c_0110_9 - c_0011_12*c_1001_0 - c_0011_4*c_1001_0 + c_0101_10*c_1001_0 + 2*c_0011_3 - c_0011_4 + c_0101_2 - c_0101_7 + c_0110_9 - c_1001_0 + 1, c_0011_3*c_0101_2 - c_0101_2*c_1001_0 + c_0101_0, c_0011_4*c_0101_2 - c_0011_3 - c_0101_2 + c_1001_0, c_0101_0*c_0101_2 + c_0101_2 - c_1001_0, c_0101_10*c_0101_2 + c_0011_4*c_0110_9 - c_0101_10*c_1001_0 - c_0110_9, c_0101_11*c_0101_2 + c_0011_3*c_1001_0 + 2*c_0101_2*c_1001_0 - 2*c_1001_0^2 + c_0011_4 + c_0101_10, c_0101_2^2 + c_0101_7^2 + c_0011_4*c_0110_9 + c_0011_12*c_1001_0 + c_0011_4*c_1001_0 - c_0101_10*c_1001_0 - c_1001_0^2 - c_0011_12 - 2*c_0011_3 + c_0011_4 - 2*c_0101_0 - 2*c_0101_2 - c_0110_9 + 2*c_1001_0 - 2, c_0011_12*c_0101_7 + c_0011_4*c_0110_9 + c_0011_4*c_1001_0 - c_0101_10*c_1001_0 - c_0011_12 - 2*c_0011_3 + c_0011_4 - c_0101_2 + c_0101_7 - c_0110_9 + c_1001_0, c_0011_3*c_0101_7 - c_0011_3*c_1001_0 - c_0011_4 - c_0101_0, c_0011_4*c_0101_7 + c_0011_4*c_0110_9 - c_0101_10*c_1001_0 - c_0011_3 - c_0110_9, c_0101_0*c_0101_7 - c_0110_9 - c_1001_0, c_0101_10*c_0101_7 - c_0011_4*c_0110_9 + c_0101_11, c_0101_11*c_0101_7 - c_0011_3*c_1001_0 - c_0101_11*c_1001_0 - 2*c_0101_2*c_1001_0 + 2*c_1001_0^2 - c_0011_4 - 2*c_0101_10 - 2*c_0101_11, c_0101_2*c_0101_7 - c_0101_2*c_1001_0 - 1, c_0011_12*c_0110_9 + c_0101_10 + c_0101_11, c_0101_2*c_0110_9 + 2*c_0101_2*c_1001_0 - c_1001_0^2 - c_0101_0, c_0101_7*c_0110_9 + c_0011_3*c_1001_0 - c_0110_9*c_1001_0 - c_1001_0^2 + c_0011_4 + c_0101_0, c_0101_0*c_1001_0 - c_0011_3 - c_0110_9, c_0101_7*c_1001_0 - c_1001_0^2 - c_0101_0 - 1, c_0011_0 - 1, c_0011_10 + 1, c_0101_1 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0110_9" ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... Status: Computing Groebner basis... Time: 0.020 Status: Saturating ideal ( 1 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 1 ] ... Time: 0.000 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.150 ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_7, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 118269865909/496160787737*c_1001_0^11 - 321064808839/496160787737*c_1001_0^10 + 1036339539506/496160787737*c_1001_0^9 - 1857196198811/496160787737*c_1001_0^8 + 3125380524243/496160787737*c_1001_0^7 + 4577879845051/496160787737*c_1001_0^6 + 6629373528206/496160787737*c_1001_0^5 + 22918991400563/496160787737*c_1001_0^4 + 34672252429859/496160787737*c_1001_0^3 + 26984735390127/496160787737*c_1001_0^2 + 10125963565009/496160787737*c_1001_0 + 1378090541779/496160787737, c_0011_3 - 2249323479/496160787737*c_1001_0^11 + 4306932411/496160787737*c_1001_0^10 - 14692138067/496160787737*c_1001_0^9 + 21050033538/496160787737*c_1001_0^8 - 38023053414/496160787737*c_1001_0^7 - 119803288141/496160787737*c_1001_0^6 - 201189916044/496160787737*c_1001_0^5 - 578700314551/496160787737*c_1001_0^4 - 694024068376/496160787737*c_1001_0^3 - 1583991942127/496160787737*c_1001_0^2 - 492771558019/496160787737*c_1001_0 + 343162150634/496160787737, c_0011_4 - 4359931392/496160787737*c_1001_0^11 - 1469636860/496160787737*c_1001_0^10 - 8937677391/496160787737*c_1001_0^9 - 26697662200/496160787737*c_1001_0^8 + 32295203151/496160787737*c_1001_0^7 - 430140198723/496160787737*c_1001_0^6 - 843993266680/496160787737*c_1001_0^5 - 2117198125471/496160787737*c_1001_0^4 - 3492577400188/496160787737*c_1001_0^3 - 6680307747398/496160787737*c_1001_0^2 - 5077253928522/496160787737*c_1001_0 - 1725430021804/496160787737, c_0101_0 + 11769125931/496160787737*c_1001_0^11 - 25787575341/496160787737*c_1001_0^10 + 86690813928/496160787737*c_1001_0^9 - 132383397377/496160787737*c_1001_0^8 + 221125174365/496160787737*c_1001_0^7 + 597509746860/496160787737*c_1001_0^6 + 939418045649/496160787737*c_1001_0^5 + 2599862055534/496160787737*c_1001_0^4 + 4599715095089/496160787737*c_1001_0^3 + 4813926867332/496160787737*c_1001_0^2 + 1770208948208/496160787737*c_1001_0 + 589988027633/496160787737, c_0101_1 - 1, c_0101_10 - 109010821083/496160787737*c_1001_0^11 + 272356990644/496160787737*c_1001_0^10 - 876967787668/496160787737*c_1001_0^9 + 1470140339025/496160787737*c_1001_0^8 - 2405216622093/496160787737*c_1001_0^7 - 4994284957851/496160787737*c_1001_0^6 - 6854511479386/496160787737*c_1001_0^5 - 21457178039072/496160787737*c_1001_0^4 - 36261609256555/496160787737*c_1001_0^3 - 28484076646336/496160787737*c_1001_0^2 - 10397195704323/496160787737*c_1001_0 - 1184021106168/496160787737, c_0101_11 - 9259044826/496160787737*c_1001_0^11 + 48707818195/496160787737*c_1001_0^10 - 159371751838/496160787737*c_1001_0^9 + 387055859786/496160787737*c_1001_0^8 - 720163902150/496160787737*c_1001_0^7 + 416405112800/496160787737*c_1001_0^6 + 225137951180/496160787737*c_1001_0^5 - 1461813361491/496160787737*c_1001_0^4 + 1589356826696/496160787737*c_1001_0^3 + 1499341256209/496160787737*c_1001_0^2 + 271232139314/496160787737*c_1001_0 - 194069435611/496160787737, c_0101_2 - 196093014147/496160787737*c_1001_0^11 + 496117098333/496160787737*c_1001_0^10 - 1633603435866/496160787737*c_1001_0^9 + 2821077266367/496160787737*c_1001_0^8 - 4810311572371/496160787737*c_1001_0^7 - 8073304390570/496160787737*c_1001_0^6 - 13312964204515/496160787737*c_1001_0^5 - 39543946241904/496160787737*c_1001_0^4 - 65209022075961/496160787737*c_1001_0^3 - 56867162035271/496160787737*c_1001_0^2 - 25294044974462/496160787737*c_1001_0 - 4508430340189/496160787737, c_0101_7 - 7217479992/496160787737*c_1001_0^11 + 26204085915/496160787737*c_1001_0^10 - 76309935285/496160787737*c_1001_0^9 + 158865613848/496160787737*c_1001_0^8 - 255080557241/496160787737*c_1001_0^7 - 168618745203/496160787737*c_1001_0^6 - 52063452420/496160787737*c_1001_0^5 - 778342192447/496160787737*c_1001_0^4 - 575829140946/496160787737*c_1001_0^3 + 1221934458833/496160787737*c_1001_0^2 + 2260784281875/496160787737*c_1001_0 + 1106200788944/496160787737, c_0110_9 - 1, c_1001_0^12 - 2*c_1001_0^11 + 7*c_1001_0^10 - 10*c_1001_0^9 + 17*c_1001_0^8 + 54*c_1001_0^7 + 90*c_1001_0^6 + 238*c_1001_0^5 + 440*c_1001_0^4 + 468*c_1001_0^3 + 285*c_1001_0^2 + 92*c_1001_0 + 13 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== 0 ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 2.710 seconds, Total memory usage: 32.09MB