Magma V2.22-2 Sun Aug 9 2020 22:20:01 on zickert [Seed = 73959313] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L13n9602__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9602 degenerate_solution 8.99735207 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 2 0132 3120 0132 3120 1 0 1 1 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 1 0 -1 1 0 -1 0 -1 -1 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249999999962 0.661437827759 0 0 3 3 0132 3120 2103 0132 1 0 1 1 0 1 -1 0 0 0 1 -1 -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 -1 0 -1 0 2 -1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249999999962 0.661437827759 0 4 3 0 3120 0132 0132 0132 1 0 1 1 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 -1 1 -2 2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000000003 0.661437827728 1 5 1 2 2103 0132 0132 0132 1 0 1 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 0 0 0 -2 0 1 1 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000047 1.322875655594 6 2 5 7 0132 0132 2103 0132 1 2 1 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 1 0 -1 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.250000000245 0.661437827666 4 3 7 6 2103 0132 0213 2031 1 2 1 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 1 0 0 -1 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374999999873 0.330718913967 4 5 9 8 0132 1302 0132 0132 2 2 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 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 0 0 0 0 0.999999999716 0.000000000658 8 5 4 9 0213 0213 0132 2031 1 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 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 3454988.388017585501 551737761.885145545006 7 9 6 10 0213 3012 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 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 0.250000000073 0.249999999358 8 7 11 6 1230 1302 0132 0132 2 2 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 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 0.249999999823 0.250000000154 11 12 8 12 1230 0132 0132 1230 2 2 2 2 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 -1 1 0 0 0 0 0 1 3 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000001189 2.000000000254 12 10 12 9 2310 3012 1230 0132 2 2 2 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 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000001944 2.000000000992 10 10 11 11 3012 0132 3201 3012 2 2 2 2 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 1 -1 0 0 0 0 0 0 0 0 0 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200000000102 0.399999999779 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_1010_0' : d['c_0011_0'], 'c_0011_0' : d['c_0011_0'], 'c_0011_1' : - d['c_0011_0'], 'c_1010_1' : - d['c_0011_0'], 'c_0011_2' : - d['c_0011_0'], 'c_1001_3' : - d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_1010_5' : - d['c_0011_0'], 'c_0011_6' : - d['c_0011_0'], 'c_0110_0' : d['c_0101_0'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_1001_0' : - d['c_0011_3'], 'c_1001_1' : d['c_0011_3'], 'c_1010_2' : - d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_1001_4' : - d['c_0011_3'], 'c_0011_5' : - d['c_0011_3'], 'c_1100_0' : - d['c_0101_2'], 'c_1100_2' : - d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_1100_1' : - d['c_0101_2'], 'c_0110_3' : d['c_0101_2'], 'c_1100_3' : - d['c_0101_2'], 'c_1001_2' : d['c_1001_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_1001_2'], 'c_1001_5' : d['c_1001_2'], 'c_1001_7' : d['c_1001_2'], 'c_0101_4' : d['c_0011_7'], 'c_0110_6' : d['c_0011_7'], 'c_0101_5' : d['c_0011_7'], 'c_0011_7' : d['c_0011_7'], 'c_0101_8' : d['c_0011_7'], 'c_0110_4' : d['c_0011_8'], 'c_0101_6' : d['c_0011_8'], 'c_0101_7' : d['c_0011_8'], 'c_0110_9' : d['c_0011_8'], 'c_0011_8' : d['c_0011_8'], 'c_1100_4' : - d['c_0110_5'], 'c_0110_5' : d['c_0110_5'], 'c_1100_7' : - d['c_0110_5'], 'c_1001_6' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1100_5' : d['c_0011_9'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : - d['c_0011_9'], 'c_1001_8' : - d['c_0011_9'], 'c_0011_9' : d['c_0011_9'], 'c_1100_6' : d['c_0110_12'], 'c_1100_9' : d['c_0110_12'], 'c_1100_8' : d['c_0110_12'], 'c_1100_10' : d['c_0110_12'], 'c_1100_11' : d['c_0110_12'], 'c_0110_12' : d['c_0110_12'], 'c_0110_7' : - d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_1001_9' : - d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_1010_11' : - d['c_0101_10'], 'c_1010_8' : - d['c_0101_11'], 'c_0101_9' : d['c_0101_11'], 'c_1001_10' : - d['c_0101_11'], 'c_0110_11' : d['c_0101_11'], 'c_1010_12' : - d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_1010_10' : - d['c_0101_11'], 'c_1001_12' : - d['c_0101_11'], 'c_0101_12' : - d['c_0101_11'], 'c_0110_10' : - d['c_0011_10'], 'c_0011_11' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1001_11' : - d['c_0011_10'], 'c_0011_12' : - d['c_0011_10'], 'c_1100_12' : d['c_0011_10'], 's_2_11' : - d['1'], 's_0_11' : d['1'], 's_3_10' : d['1'], 's_1_10' : - d['1'], 's_0_10' : d['1'], 's_2_9' : - d['1'], 's_3_8' : - d['1'], 's_1_8' : d['1'], 's_3_7' : d['1'], 's_0_7' : d['1'], 's_3_6' : - d['1'], 's_2_6' : - d['1'], 's_3_5' : d['1'], 's_2_5' : d['1'], 's_3_4' : d['1'], 's_2_4' : d['1'], 's_0_4' : d['1'], 's_1_3' : d['1'], 's_2_2' : d['1'], 's_1_2' : d['1'], 's_3_1' : - d['1'], 's_2_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_1' : - d['1'], 's_3_2' : - d['1'], 's_0_2' : - d['1'], 's_0_3' : - d['1'], 's_2_3' : - d['1'], 's_1_4' : d['1'], 's_3_3' : d['1'], 's_1_5' : d['1'], 's_0_6' : d['1'], 's_0_5' : d['1'], 's_2_7' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_3_9' : - d['1'], 's_2_8' : - d['1'], 's_0_8' : d['1'], 's_1_9' : d['1'], 's_0_9' : d['1'], 's_2_10' : - d['1'], 's_3_11' : - d['1'], 's_1_11' : d['1'], 's_1_12' : - d['1'], 's_0_12' : d['1'], 's_2_12' : d['1'], 's_3_12' : - d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.080 Status: Saturating ideal ( 1 / 13 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.070 Status: Recomputing Groebner basis... Time: 0.070 Status: Saturating ideal ( 3 / 13 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 4 / 13 )... Time: 0.030 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: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 11 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 11 ] Status: Computing RadicalDecomposition Time: 0.110 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.980 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_3, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0110_12, c_0110_5, c_1001_2 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_9*c_0110_12^3 - 2/23*c_0101_10*c_0101_11^2*c_0110_5 + 8/23*c_0101_10^2*c_0110_12*c_0110_5 - 5/23*c_0101_10*c_0101_11*c_0110_12*c_0110_5 + 12/23*c_0101_11^2*c_0110_12*c_0110_5 - 12/23*c_0011_10*c_0110_12^2*c_0110_5 + 17/23*c_0101_10*c_0110_12^2*c_0110_5 + 10/23*c_0101_11*c_0110_12^2*c_0110_5 - 2/23*c_0110_12^3*c_0110_5 + 2/23*c_0101_10*c_0101_11^2 + 15/23*c_0101_10^2*c_0110_12 + 5/23*c_0101_10*c_0101_11*c_0110_12 + 11/23*c_0101_11^2*c_0110_12 - 11/23*c_0011_10*c_0110_12^2 + 6/23*c_0101_10*c_0110_12^2 - 10/23*c_0101_11*c_0110_12^2 + 2/23*c_0110_12^3, c_0011_9^2*c_1001_2^2 - c_0011_9^2*c_1001_2 - 3*c_0011_9*c_1001_2^2 - 2*c_0101_2*c_1001_2^2 - c_1001_2^3 + 2*c_0110_5^2 - 3*c_0011_10*c_1001_2 + c_0011_9*c_1001_2 + 6*c_0101_11*c_1001_2 + 9*c_0101_2*c_1001_2 - 7*c_0110_12*c_1001_2 - c_0110_5*c_1001_2 + 4*c_1001_2^2 + 5*c_0011_10 + 8*c_0011_8 + 4*c_0011_9 - c_0101_10 - 2*c_0101_11 - 4*c_0101_2 + 6*c_0110_12 - 10*c_1001_2 + 6, c_0011_9*c_1001_2^3 + c_0011_9^2*c_1001_2 - 4*c_0011_9*c_1001_2^2 - c_0101_2*c_1001_2^2 + c_0110_5^2 - 2*c_0011_10*c_1001_2 + 2*c_0011_9*c_1001_2 + 2*c_0101_11*c_1001_2 + 3*c_0101_2*c_1001_2 - 4*c_0110_12*c_1001_2 - 2*c_0110_5*c_1001_2 + 3*c_0011_10 + 3*c_0011_8 + 2*c_0110_12 - 2*c_1001_2 + 1, c_0101_2*c_1001_2^3 + c_0011_9^2*c_1001_2 - c_0011_9*c_1001_2^2 - 4*c_0101_2*c_1001_2^2 - c_1001_2^3 - 3*c_0011_9^2 + c_0110_5^2 - 2*c_0011_10*c_1001_2 + 2*c_0011_9*c_1001_2 + 2*c_0101_11*c_1001_2 + 9*c_0101_2*c_1001_2 - c_0110_12*c_1001_2 + 4*c_0110_5*c_1001_2 + 6*c_1001_2^2 + 3*c_0011_10 + 7*c_0011_8 + 3*c_0011_9 - 5*c_0101_2 + 2*c_0110_12 - 2*c_0110_5 - 11*c_1001_2 + 5, c_1001_2^4 - 3*c_0101_2*c_1001_2^2 - 3*c_1001_2^3 + 6*c_0101_2*c_1001_2 + 3*c_1001_2^2 - 2*c_0101_2 - 3*c_1001_2 + 2, c_0011_10*c_0011_9^2 - c_0101_11*c_0110_12*c_1001_2 - c_0011_10*c_0011_9 - 2*c_0101_10*c_0101_11 - 2*c_0011_10*c_0110_12 + c_0011_8*c_0110_12 + c_0101_10*c_0110_12 + 2*c_0101_11*c_0110_12 + 2*c_0101_11*c_0110_5 - c_0110_12*c_0110_5 + c_0011_10*c_1001_2 - c_0101_11*c_1001_2 - c_0011_10 + c_0101_11, c_0011_9^3 - 3*c_0011_9^2*c_1001_2 + 5*c_0011_9*c_1001_2^2 + c_0101_2*c_1001_2^2 + c_0011_10*c_0011_9 + 4*c_0011_9^2 - c_0011_9*c_0101_11 - 2*c_0011_10*c_0101_2 - 4*c_0011_8*c_0110_12 - 5*c_0011_9*c_0110_12 - 2*c_0101_10*c_0110_5 - 4*c_0101_11*c_0110_5 + 3*c_0110_12*c_0110_5 - c_0110_5^2 + 4*c_0011_10*c_1001_2 - 6*c_0011_9*c_1001_2 - 5*c_0101_11*c_1001_2 - 4*c_0101_2*c_1001_2 + 7*c_0110_12*c_1001_2 + 2*c_0110_5*c_1001_2 - 5*c_0011_10 - 3*c_0011_8 + 5*c_0011_9 - c_0101_10 + c_0101_11 - 5*c_0110_12 + c_1001_2 + 1, c_0101_10^3 + c_0101_10*c_0101_11^2 - 2*c_0101_11^2*c_0110_12 + c_0011_10*c_0110_12^2 - c_0101_10*c_0110_12^2 + 3*c_0101_11*c_0110_12^2 - c_0110_12^3, c_0011_9^2*c_0101_11 - c_0101_11*c_0110_12*c_1001_2 + c_0011_10*c_0011_9 - 4*c_0011_9*c_0101_11 - 2*c_0011_10*c_0101_2 - 3*c_0011_8*c_0110_12 - 2*c_0011_9*c_0110_12 + 2*c_0011_10*c_0110_5 - 2*c_0101_10*c_0110_5 - 4*c_0101_11*c_0110_5 + 2*c_0110_12*c_0110_5 + 2*c_0101_11*c_1001_2 + 2*c_0011_10 - 2*c_0110_12, c_0101_10^2*c_0101_11 - 1/2*c_0101_10^2*c_0110_12 - c_0101_10*c_0101_11*c_0110_12 + c_0101_11^2*c_0110_12 - 1/2*c_0011_10*c_0110_12^2 - 3/2*c_0101_11*c_0110_12^2 + c_0110_12^3, c_0011_9*c_0101_11^2 + 7*c_0011_9*c_0110_12^2 + 3*c_0101_10^2*c_0110_5 + 5*c_0101_11^2*c_0110_5 - 3*c_0011_10*c_0110_12*c_0110_5 + 5*c_0101_10*c_0110_12*c_0110_5 + 2*c_0101_11*c_0110_12*c_0110_5 - c_0110_12^2*c_0110_5 - c_0101_11*c_0110_12*c_1001_2 + 4*c_0101_10^2 + c_0101_10*c_0101_11 + 4*c_0101_11^2 - 4*c_0011_10*c_0110_12 + 2*c_0101_10*c_0110_12 - 2*c_0101_11*c_0110_12 + c_0110_12^2, c_0101_11^3 - 1/2*c_0101_10^2*c_0110_12 - c_0101_10*c_0101_11*c_0110_12 - 2*c_0101_11^2*c_0110_12 - 1/2*c_0011_10*c_0110_12^2 + 3/2*c_0101_11*c_0110_12^2, c_0011_10*c_0011_9*c_0110_12 + 9*c_0011_9*c_0110_12^2 + 3*c_0101_10^2*c_0110_5 - 2*c_0101_10*c_0101_11*c_0110_5 + 5*c_0101_11^2*c_0110_5 - 4*c_0011_10*c_0110_12*c_0110_5 + 7*c_0101_10*c_0110_12*c_0110_5 + 3*c_0101_11*c_0110_12*c_0110_5 - c_0101_11*c_0110_12*c_1001_2 + 5*c_0101_10^2 + 5*c_0101_11^2 - 5*c_0011_10*c_0110_12 + 3*c_0101_10*c_0110_12 - 3*c_0101_11*c_0110_12 + 2*c_0110_12^2, c_0011_9^2*c_0110_12 + 2*c_0011_10*c_0011_9 + c_0101_10^2 - 4*c_0011_9*c_0101_11 + 2*c_0101_10*c_0101_11 + c_0101_11^2 - 2*c_0011_10*c_0101_2 - 4*c_0011_8*c_0110_12 - 4*c_0011_9*c_0110_12 - c_0101_10*c_0110_12 - 2*c_0101_11*c_0110_12 - c_0110_12^2 + c_0011_10*c_0110_5 - 3*c_0101_10*c_0110_5 - 6*c_0101_11*c_0110_5 + 3*c_0110_12*c_0110_5 + 2*c_0101_11*c_1001_2 + c_0110_12*c_1001_2 + 2*c_0011_10 - 3*c_0110_12, c_0011_9*c_0101_11*c_0110_12 - 4*c_0011_9*c_0110_12^2 - c_0101_10^2*c_0110_5 + 2*c_0101_10*c_0101_11*c_0110_5 - c_0101_11^2*c_0110_5 + 2*c_0011_10*c_0110_12*c_0110_5 - 3*c_0101_10*c_0110_12*c_0110_5 - 2*c_0101_11*c_0110_12*c_0110_5 - 2*c_0101_10^2 - 2*c_0101_11^2 + 2*c_0011_10*c_0110_12 - c_0101_10*c_0110_12 + 2*c_0101_11*c_0110_12 - c_0110_12^2, c_0011_8*c_0110_12^2 - c_0011_9*c_0110_12^2 - c_0101_10^2*c_0110_5 - c_0101_11^2*c_0110_5 + c_0011_10*c_0110_12*c_0110_5 - c_0101_10*c_0110_12*c_0110_5 - c_0101_10^2 - c_0101_11^2 + c_0011_10*c_0110_12 - c_0101_10*c_0110_12, c_0011_10*c_0110_5^2 - 2*c_0101_11*c_0110_12*c_1001_2 - 2*c_0011_10*c_0011_9 - 2*c_0101_10^2 + 2*c_0011_9*c_0101_11 - 6*c_0101_10*c_0101_11 - c_0101_11^2 + c_0011_10*c_0101_2 - c_0011_10*c_0110_12 - c_0011_8*c_0110_12 - 2*c_0011_9*c_0110_12 + 2*c_0101_10*c_0110_12 + 6*c_0101_11*c_0110_12 + c_0110_12^2 + c_0011_10*c_0110_5 - c_0101_10*c_0110_5 + c_0101_11*c_0110_5 - c_0110_12*c_0110_5 + c_0011_10*c_1001_2 - c_0101_11*c_1001_2 - c_0011_10 + c_0101_10 + 3*c_0101_11 - c_0110_12, c_0101_10*c_0110_5^2 - c_0011_10*c_0011_9 - c_0101_10^2 - 2*c_0101_10*c_0101_11 + 2*c_0101_11^2 - 2*c_0011_10*c_0110_12 - 3*c_0011_8*c_0110_12 - 6*c_0011_9*c_0110_12 + 3*c_0101_10*c_0110_12 - 2*c_0101_11*c_0110_12 - c_0011_10*c_0110_5 - c_0101_10*c_0110_5 - 5*c_0101_11*c_0110_5 + c_0110_12*c_0110_5 + 2*c_0011_10*c_1001_2 - c_0101_11*c_1001_2 + 2*c_0110_12*c_1001_2 - 2*c_0011_10 + c_0101_10 + 3*c_0101_11 - 4*c_0110_12, c_0101_11*c_0110_5^2 + 2*c_0011_10*c_0011_9 + 2*c_0101_10^2 - c_0011_9*c_0101_11 + c_0101_10*c_0101_11 - c_0011_10*c_0101_2 - c_0011_9*c_0110_12 + c_0101_11*c_0110_12 - 2*c_0110_12^2 + c_0011_10*c_0110_5 + c_0110_12*c_0110_5 + c_0110_12*c_1001_2 + c_0011_10 - c_0101_10 - c_0110_12, c_0110_12*c_0110_5^2 + 2*c_0101_10^2 + c_0011_9*c_0101_11 + 2*c_0101_11^2 - 2*c_0011_10*c_0110_12 - 4*c_0011_9*c_0110_12 - c_0101_10*c_0110_12 - 2*c_0101_11*c_0110_12 + c_0110_12^2 - 2*c_0101_10*c_0110_5 - 2*c_0101_11*c_0110_5 + 2*c_0110_12*c_0110_5 + 2*c_0011_10*c_1001_2 - 2*c_0101_11*c_1001_2 + 2*c_0110_12*c_1001_2 - 2*c_0011_10 - c_0101_10 + 2*c_0101_11 - 2*c_0110_12, c_0110_5^3 - c_0011_9^2*c_1001_2 + 3*c_0011_9*c_1001_2^2 - c_0101_2*c_1001_2^2 - c_1001_2^3 + 2*c_0011_9^2 - c_0011_10*c_0101_2 + 2*c_0011_8*c_0110_12 - 2*c_0011_9*c_0110_12 - 3*c_0101_10*c_0110_5 - 2*c_0101_11*c_0110_5 + c_0110_12*c_0110_5 + 5*c_0110_5^2 - 3*c_0011_10*c_1001_2 - 6*c_0011_9*c_1001_2 + 4*c_0101_11*c_1001_2 + 6*c_0101_2*c_1001_2 - 4*c_0110_12*c_1001_2 + 6*c_0110_5*c_1001_2 + 5*c_1001_2^2 + 2*c_0011_10 + 15*c_0011_8 + 11*c_0011_9 - 4*c_0101_10 - 10*c_0101_11 + 9*c_0110_12 - 13*c_1001_2 + 9, c_0011_10*c_0011_9*c_1001_2 - c_0011_9*c_0101_11 - c_0011_10*c_0101_2 - 3*c_0011_8*c_0110_12 - 2*c_0011_9*c_0110_12 + c_0011_10*c_0110_5 - c_0101_10*c_0110_5 - 2*c_0101_11*c_0110_5 + 2*c_0110_12*c_0110_5 + c_0101_11*c_1001_2 + c_0011_10 + c_0101_10 + c_0101_11 - c_0110_12, c_0011_9*c_0101_11*c_1001_2 + 2*c_0011_10*c_0011_9 - 3*c_0011_9*c_0101_11 - 2*c_0011_10*c_0101_2 - 6*c_0011_8*c_0110_12 - 6*c_0011_9*c_0110_12 + c_0011_10*c_0110_5 - 3*c_0101_10*c_0110_5 - 6*c_0101_11*c_0110_5 + 4*c_0110_12*c_0110_5 + 2*c_0101_11*c_1001_2 + c_0110_12*c_1001_2 + 2*c_0011_10 + c_0101_10 + 2*c_0101_11 - 4*c_0110_12, c_0101_11^2*c_1001_2 - 2*c_0101_11*c_0110_12*c_1001_2 - c_0101_10^2 - 2*c_0101_10*c_0101_11 - c_0101_11^2 - c_0011_10*c_0110_12 + c_0101_10*c_0110_12 + 2*c_0101_11*c_0110_12 + c_0110_12^2, c_0011_10*c_0101_2*c_1001_2 - c_0011_10*c_0101_2 + c_0011_10 + c_0101_11, c_0011_10*c_0110_12*c_1001_2 - c_0101_11*c_0110_12*c_1001_2 - 2*c_0101_10*c_0101_11 - 2*c_0011_10*c_0110_12 + c_0101_10*c_0110_12 + 2*c_0101_11*c_0110_12, c_0011_9*c_0110_12*c_1001_2 + c_0011_10*c_0011_9 - c_0011_9*c_0101_11 - c_0011_10*c_0101_2 - 4*c_0011_8*c_0110_12 - 5*c_0011_9*c_0110_12 - 2*c_0101_10*c_0110_5 - 4*c_0101_11*c_0110_5 + 3*c_0110_12*c_0110_5 + c_0101_11*c_1001_2 + c_0110_12*c_1001_2 + c_0011_10 + c_0101_10 + 2*c_0101_11 - 3*c_0110_12, c_0110_12^2*c_1001_2 + c_0101_10^2 + 2*c_0101_10*c_0101_11 + c_0101_11^2 - c_0101_10*c_0110_12 - 2*c_0101_11*c_0110_12 - c_0110_12^2, c_0011_10*c_0110_5*c_1001_2 - c_0011_10*c_0011_9 + 2*c_0011_9*c_0101_11 + c_0011_10*c_0101_2 + 4*c_0011_8*c_0110_12 + 2*c_0011_9*c_0110_12 - c_0011_10*c_0110_5 + c_0101_10*c_0110_5 + 4*c_0101_11*c_0110_5 - 3*c_0110_12*c_0110_5 + c_0011_10*c_1001_2 - 2*c_0101_11*c_1001_2 - 2*c_0011_10 - c_0101_10 + c_0110_12, c_0101_11*c_0110_5*c_1001_2 - c_0011_10*c_0011_9 + c_0011_9*c_0101_11 + c_0011_10*c_0101_2 + 5*c_0011_8*c_0110_12 + 5*c_0011_9*c_0110_12 + 2*c_0101_10*c_0110_5 + 4*c_0101_11*c_0110_5 - 3*c_0110_12*c_0110_5 - c_0101_11*c_1001_2 - c_0110_12*c_1001_2 - c_0011_10 - c_0101_10 - 2*c_0101_11 + 3*c_0110_12, c_0110_12*c_0110_5*c_1001_2 - c_0011_9*c_0101_11 + 2*c_0011_8*c_0110_12 + 2*c_0011_9*c_0110_12 - c_0110_12*c_0110_5 - c_0101_10 - 2*c_0101_11 + c_0110_12, c_0110_5^2*c_1001_2 + c_0011_9^2 - 2*c_0011_10*c_1001_2 - 2*c_0011_9*c_1001_2 + 2*c_0101_11*c_1001_2 - 2*c_0110_12*c_1001_2 + c_0110_5*c_1001_2 + 2*c_0011_10 + 2*c_0011_8 + 2*c_0101_10 + 2*c_0101_2 - c_0110_12 - 2*c_0110_5 - 1, c_0011_10*c_1001_2^2 - c_0011_10*c_0101_2 - c_0011_10*c_1001_2 - c_0110_12*c_1001_2 + c_0101_10 + c_0101_11, c_0101_11*c_1001_2^2 - c_0011_10*c_0101_2 + c_0011_10*c_1001_2 - 2*c_0101_11*c_1001_2 - c_0110_12*c_1001_2 + c_0101_10 + 3*c_0101_11 - c_0110_12, c_0110_12*c_1001_2^2 - 2*c_0110_12*c_1001_2 + c_0011_10 + c_0101_10 + 2*c_0101_11 - c_0110_12, c_0110_5*c_1001_2^2 - c_0011_9^2 + 2*c_0011_9*c_1001_2 + c_0110_12*c_1001_2 - 2*c_0011_9 + c_1001_2 - 1, c_0011_10^2 - c_0101_11^2 + c_0101_11*c_0110_12, c_0011_10*c_0011_8 + c_0011_10*c_0011_9 - c_0011_9*c_0101_11 - c_0011_8*c_0110_12 - c_0101_11*c_0110_5 + c_0110_12*c_0110_5 - c_0011_10*c_1001_2 + c_0101_11*c_1001_2 + c_0011_10 - c_0101_11, c_0011_8^2 - c_0110_5^2 + 2*c_0011_10*c_1001_2 - 2*c_0101_11*c_1001_2 + 2*c_0110_12*c_1001_2 - c_0110_5*c_1001_2 - 2*c_0011_10 - 4*c_0011_8 + 2*c_0101_11 - 2*c_0101_2 - 3*c_0110_12 + c_1001_2, c_0011_8*c_0011_9 + c_0110_12 + c_0110_5, c_0011_10*c_0101_10 - c_0101_11^2 + 2*c_0101_11*c_0110_12 - c_0110_12^2, c_0011_8*c_0101_10 + c_0011_9*c_0110_12 + c_0101_11*c_0110_5, c_0011_9*c_0101_10 + c_0011_8*c_0110_12 - c_0101_11, c_0011_10*c_0101_11 - c_0101_10*c_0101_11 - c_0011_10*c_0110_12, c_0011_8*c_0101_11 - 2*c_0011_8*c_0110_12 - 2*c_0011_9*c_0110_12 - c_0101_10*c_0110_5 - 2*c_0101_11*c_0110_5 + c_0110_12*c_0110_5 + c_0110_12*c_1001_2 - c_0110_12, c_0011_8*c_0101_2 + c_0011_8 - c_0110_5 - c_1001_2, c_0011_9*c_0101_2 + c_0110_5*c_1001_2 + c_0011_9 + 1, c_0101_10*c_0101_2 - c_0011_10*c_1001_2 + c_0101_11*c_1001_2 - c_0110_12*c_1001_2 + c_0011_10 - c_0101_11 + c_0110_12, c_0101_11*c_0101_2 - c_0110_12*c_1001_2 + c_0101_10 + c_0101_11, c_0101_2^2 + c_1001_2, c_0101_2*c_0110_12 - c_0011_10*c_1001_2 + c_0101_11*c_1001_2 - c_0110_12*c_1001_2 + c_0011_10 + c_0101_10, c_0011_8*c_0110_5 - c_0110_5^2 + c_0011_10*c_1001_2 - c_0101_11*c_1001_2 + c_0110_12*c_1001_2 - c_0110_5*c_1001_2 - c_0011_10 - c_0011_8 + c_0101_11 - c_0101_2 - 2*c_0110_12 - c_0110_5, c_0011_9*c_0110_5 + c_0011_10*c_1001_2 + c_0011_9*c_1001_2 - c_0101_11*c_1001_2 + c_0110_12*c_1001_2 - c_0011_10 - c_0011_8 + c_0011_9 - c_0101_10 - c_0101_2 + c_0110_12 + 2*c_0110_5 + 1, c_0101_2*c_0110_5 + c_0011_8 - c_0011_9 + c_0101_2 - c_0110_5 - 1, c_0011_8*c_1001_2 + c_0101_2*c_1001_2 + c_0011_9 - c_0101_2 - c_1001_2 + 1, c_0101_10*c_1001_2 - c_0110_12, c_0011_0 - 1, c_0011_3 + c_0101_2 + 1, c_0011_7 - 1, c_0101_0 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0110_12" ] ] 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: 0.020 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: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.020 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: 0.020 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: 0.020 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: 0.190 ==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_3, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0110_12, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 35/148*c_1001_2^7 - 3/2*c_1001_2^6 + 525/148*c_1001_2^5 - 409/148*c_1001_2^4 - 483/148*c_1001_2^3 + 383/74*c_1001_2^2 + 199/148*c_1001_2 - 86/37, c_0011_3 + 45/74*c_1001_2^7 - 3*c_1001_2^6 + 453/74*c_1001_2^5 - 251/74*c_1001_2^4 - 399/74*c_1001_2^3 + 207/37*c_1001_2^2 + 129/74*c_1001_2 - 52/37, c_0011_7 - 1, c_0011_8 + 539/1702*c_0110_5*c_1001_2^7 - 37/23*c_0110_5*c_1001_2^6 + 5717/1702*c_0110_5*c_1001_2^5 - 3383/1702*c_0110_5*c_1001_2^4 - 5085/1702*c_0110_5*c_1001_2^3 + 2805/851*c_0110_5*c_1001_2^2 + 2295/1702*c_0110_5*c_1001_2 - 1820/851*c_0110_5 + 248/851*c_1001_2^7 - 32/23*c_1001_2^6 + 2351/851*c_1001_2^5 - 1195/851*c_1001_2^4 - 2046/851*c_1001_2^3 + 1956/851*c_1001_2^2 + 336/851*c_1001_2 - 1078/851, c_0011_9 - 248/851*c_0110_5*c_1001_2^7 + 32/23*c_0110_5*c_1001_2^6 - 2351/851*c_0110_5*c_1001_2^5 + 1195/851*c_0110_5*c_1001_2^4 + 2046/851*c_0110_5*c_1001_2^3 - 1956/851*c_0110_5*c_1001_2^2 - 336/851*c_0110_5*c_1001_2 + 1078/851*c_0110_5 - 539/1702*c_1001_2^7 + 37/23*c_1001_2^6 - 5717/1702*c_1001_2^5 + 3383/1702*c_1001_2^4 + 5085/1702*c_1001_2^3 - 2805/851*c_1001_2^2 - 2295/1702*c_1001_2 + 1820/851, c_0101_0 - 1, c_0101_10 + 1/4*c_1001_2^7 - 3/2*c_1001_2^6 + 15/4*c_1001_2^5 - 15/4*c_1001_2^4 - 5/4*c_1001_2^3 + 9/2*c_1001_2^2 - 3/4*c_1001_2 - 2, c_0101_11 - 9/37*c_1001_2^7 + 3/2*c_1001_2^6 - 135/37*c_1001_2^5 + 241/74*c_1001_2^4 + 167/74*c_1001_2^3 - 321/74*c_1001_2^2 - 48/37*c_1001_2 + 123/74, c_0101_2 - 45/74*c_1001_2^7 + 3*c_1001_2^6 - 453/74*c_1001_2^5 + 251/74*c_1001_2^4 + 399/74*c_1001_2^3 - 207/37*c_1001_2^2 - 129/74*c_1001_2 + 89/37, c_0110_12 - 1, c_0110_5^2 - 89/74*c_0110_5*c_1001_2^7 + 6*c_0110_5*c_1001_2^6 - 891/74*c_0110_5*c_1001_2^5 + 429/74*c_0110_5*c_1001_2^4 + 947/74*c_0110_5*c_1001_2^3 - 402/37*c_0110_5*c_1001_2^2 - 487/74*c_0110_5*c_1001_2 + 264/37*c_0110_5 - 141/148*c_1001_2^7 + 9/2*c_1001_2^6 - 1227/148*c_1001_2^5 + 303/148*c_1001_2^4 + 1709/148*c_1001_2^3 - 471/74*c_1001_2^2 - 1233/148*c_1001_2 + 227/37, c_1001_2^8 - 6*c_1001_2^7 + 15*c_1001_2^6 - 15*c_1001_2^5 - 5*c_1001_2^4 + 18*c_1001_2^3 - 3*c_1001_2^2 - 8*c_1001_2 + 4 ] ==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: 4.230 seconds, Total memory usage: 32.09MB