Magma V2.22-2 Sun Aug 9 2020 22:20:01 on zickert [Seed = 2380384145] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L13n9602__sl2_c4.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: 0.030 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: 0.040 Status: Saturating ideal ( 4 / 13 )... Time: 0.030 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: 0.040 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: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.030 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: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 11 ] Status: Computing RadicalDecomposition Time: 0.390 Status: Number of components: 2 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 1.310 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_0110_5*c_1001_2^2 - 9*c_0110_5*c_1001_2 + c_1001_2^2 + 15*c_0011_8 - 18*c_0011_9 + 3*c_0101_2 - 11*c_0110_5 - 9*c_1001_2 - 14, c_1001_2^3 - 4*c_1001_2^2 - 3*c_0101_2 - 2*c_1001_2 + 2, c_0011_10^2 - c_0011_10*c_0110_12 - c_0101_10*c_0110_12 + c_0101_11*c_0110_12 - c_0110_12^2, c_0011_10*c_0011_8 - 7/11*c_0011_10*c_0110_5 + 2/11*c_0101_10*c_0110_5 + 3/11*c_0101_11*c_0110_5 - 2/11*c_0110_12*c_0110_5 + 4/11*c_0011_10 - 9/11*c_0101_10 - 8/11*c_0101_11 - 2/11*c_0110_12, c_0011_8^2 + 2*c_0110_5*c_1001_2 - 2/3*c_1001_2^2 - 10*c_0011_8 + 8*c_0011_9 - c_0101_10 + 5*c_0110_5 + 5*c_1001_2 + 19/3, c_0011_10*c_0011_9 - 4/11*c_0011_10*c_0110_5 + 9/11*c_0101_10*c_0110_5 + 8/11*c_0101_11*c_0110_5 + 2/11*c_0110_12*c_0110_5 + 7/11*c_0011_10 - 2/11*c_0101_10 - 3/11*c_0101_11 + 2/11*c_0110_12, c_0011_8*c_0011_9 + c_0110_12 + c_0110_5, c_0011_9^2 + 3*c_0110_5*c_1001_2 - 1/3*c_1001_2^2 - 7*c_0011_8 + 8*c_0011_9 - 2*c_0101_10 - 3*c_0101_11 - c_0101_2 + 5*c_0110_5 + 4*c_1001_2 + 17/3, c_0011_10*c_0101_10 - c_0011_10*c_0110_12 - c_0101_10*c_0110_12 + 2*c_0101_11*c_0110_12 - 2*c_0110_12^2, c_0011_8*c_0101_10 - 6/11*c_0011_10*c_0110_5 - 3/11*c_0101_10*c_0110_5 + 1/11*c_0101_11*c_0110_5 + 3/11*c_0110_12*c_0110_5 + 5/11*c_0011_10 - 3/11*c_0101_10 + 1/11*c_0101_11 - 8/11*c_0110_12, c_0011_9*c_0101_10 - 5/11*c_0011_10*c_0110_5 + 3/11*c_0101_10*c_0110_5 - 1/11*c_0101_11*c_0110_5 + 8/11*c_0110_12*c_0110_5 + 6/11*c_0011_10 + 3/11*c_0101_10 - 1/11*c_0101_11 - 3/11*c_0110_12, c_0101_10^2 - 3*c_0011_10*c_0110_12 + 3*c_0101_11*c_0110_12 - 2*c_0110_12^2, c_0011_10*c_0101_11 + c_0011_10*c_0110_12 - 2*c_0101_11*c_0110_12 + c_0110_12^2, c_0011_8*c_0101_11 + 2/11*c_0011_10*c_0110_5 + 1/11*c_0101_10*c_0110_5 - 4/11*c_0101_11*c_0110_5 - 1/11*c_0110_12*c_0110_5 + 2/11*c_0011_10 - 10/11*c_0101_10 - 15/11*c_0101_11 - 1/11*c_0110_12, c_0011_9*c_0101_11 - 2/11*c_0011_10*c_0110_5 + 10/11*c_0101_10*c_0110_5 + 15/11*c_0101_11*c_0110_5 + 1/11*c_0110_12*c_0110_5 - 2/11*c_0011_10 - 1/11*c_0101_10 + 4/11*c_0101_11 + 1/11*c_0110_12, c_0101_10*c_0101_11 + 2*c_0011_10*c_0110_12 - 2*c_0101_11*c_0110_12 + c_0110_12^2, c_0101_11^2 - c_0011_10*c_0110_12 - c_0101_10*c_0110_12 - c_0110_12^2, c_0011_10*c_0101_2 - c_0101_10 - c_0101_11, 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_0101_10 - c_0110_12, c_0101_11*c_0101_2 - c_0101_10 - 2*c_0101_11, c_0101_2^2 - c_1001_2, c_0011_8*c_0110_12 + 5/11*c_0011_10*c_0110_5 - 3/11*c_0101_10*c_0110_5 + 1/11*c_0101_11*c_0110_5 - 8/11*c_0110_12*c_0110_5 - 6/11*c_0011_10 - 3/11*c_0101_10 - 10/11*c_0101_11 + 3/11*c_0110_12, c_0011_9*c_0110_12 + 6/11*c_0011_10*c_0110_5 + 3/11*c_0101_10*c_0110_5 + 10/11*c_0101_11*c_0110_5 - 3/11*c_0110_12*c_0110_5 - 5/11*c_0011_10 + 3/11*c_0101_10 - 1/11*c_0101_11 + 8/11*c_0110_12, c_0101_2*c_0110_12 - c_0011_10 - c_0101_11, c_0011_8*c_0110_5 + 2*c_0110_5*c_1001_2 - 2/3*c_1001_2^2 + c_0011_10 - 13*c_0011_8 + 8*c_0011_9 - 2*c_0101_10 + c_0101_2 - c_0110_12 + 6*c_0110_5 + 6*c_1001_2 + 19/3, c_0011_9*c_0110_5 - 3*c_0110_5*c_1001_2 + 1/3*c_1001_2^2 + c_0011_10 + 3*c_0011_8 - 7*c_0011_9 + c_0101_11 + 2*c_0101_2 + c_0110_12 - c_0110_5 - 3*c_1001_2 - 17/3, c_0101_2*c_0110_5 + c_0011_8 + c_0011_9 - c_0101_2 - c_0110_5 + 1, c_0110_5^2 + 3*c_0110_5*c_1001_2 - 2/3*c_1001_2^2 + 2*c_0011_10 - 14*c_0011_8 + 8*c_0011_9 - 3*c_0101_10 + 2*c_0101_2 - 3*c_0110_12 + 5*c_0110_5 + 6*c_1001_2 + 19/3, c_0011_10*c_1001_2 + c_0011_10 - 2*c_0101_10 - 2*c_0101_11 - c_0110_12, c_0011_8*c_1001_2 - 1/3*c_1001_2^2 + c_0011_9 + 2/3, c_0011_9*c_1001_2 + 3*c_0110_5*c_1001_2 - 1/3*c_1001_2^2 - 4*c_0011_8 + 6*c_0011_9 - c_0101_2 + 3*c_0110_5 + 3*c_1001_2 + 14/3, c_0101_10*c_1001_2 - c_0110_12, c_0101_11*c_1001_2 + c_0011_10 - 3*c_0101_10 - 4*c_0101_11 - c_0110_12, c_0101_2*c_1001_2 - 1/3*c_1001_2^2 + c_0101_2 - c_1001_2 - 1/3, c_0110_12*c_1001_2 - 2*c_0101_10 - 3*c_0101_11, c_0011_0 - 1, c_0011_3 + c_0101_2 + 1, c_0011_7 - 1, c_0101_0 - 1 ], 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_0110_5*c_1001_2^2 - 9*c_0110_5*c_1001_2 + c_1001_2^2 + 14*c_0011_8 - 19*c_0011_9 + 5*c_0101_2 - 6*c_0110_5 - 9*c_1001_2 - 11, c_1001_2^3 - 11/3*c_1001_2^2 + 4/3*c_0101_2 + 3*c_1001_2 + 14/3, c_0011_10^2 + 1/2*c_0011_10*c_0110_12 + 1/2*c_0110_12^2, c_0011_10*c_0011_8 - 4/11*c_0011_10*c_0110_5 - 2/11*c_0101_10*c_0110_5 - 1/11*c_0101_11*c_0110_5 + 2/11*c_0110_12*c_0110_5 - 4/11*c_0011_10 - 2/11*c_0101_10 + 10/11*c_0101_11 - 9/11*c_0110_12, c_0011_8^2 + c_0110_5*c_1001_2 - 1/3*c_1001_2^2 - 3*c_0011_8 + 4*c_0011_9 - c_0101_10 - 4/3*c_0101_2 + 2*c_0110_5 + 2*c_1001_2 + 7/3, c_0011_10*c_0011_9 + 4/11*c_0011_10*c_0110_5 + 2/11*c_0101_10*c_0110_5 - 10/11*c_0101_11*c_0110_5 + 9/11*c_0110_12*c_0110_5 + 4/11*c_0011_10 + 2/11*c_0101_10 + 1/11*c_0101_11 - 2/11*c_0110_12, c_0011_8*c_0011_9 + c_0110_12 + c_0110_5, c_0011_9^2 + 3*c_0110_5*c_1001_2 - 1/3*c_1001_2^2 + c_0011_10 - 6*c_0011_8 + 9*c_0011_9 - c_0101_10 - 2*c_0101_11 - 7/3*c_0101_2 + 2*c_0110_5 + 4*c_1001_2 + 16/3, c_0011_10*c_0101_10 + 1/2*c_0011_10*c_0110_12 + c_0101_11*c_0110_12 - 1/2*c_0110_12^2, c_0011_8*c_0101_10 + 6/11*c_0011_10*c_0110_5 - 8/11*c_0101_10*c_0110_5 + 7/11*c_0101_11*c_0110_5 - 3/11*c_0110_12*c_0110_5 - 5/11*c_0011_10 + 3/11*c_0101_10 - 4/11*c_0101_11 - 3/11*c_0110_12, c_0011_9*c_0101_10 + 5/11*c_0011_10*c_0110_5 - 3/11*c_0101_10*c_0110_5 + 4/11*c_0101_11*c_0110_5 + 3/11*c_0110_12*c_0110_5 - 6/11*c_0011_10 + 8/11*c_0101_10 - 7/11*c_0101_11 + 3/11*c_0110_12, c_0101_10^2 - 1/2*c_0011_10*c_0110_12 + c_0101_10*c_0110_12 - 1/2*c_0110_12^2, c_0011_10*c_0101_11 - 1/2*c_0011_10*c_0110_12 - 1/2*c_0101_10*c_0110_12 + 1/2*c_0101_11*c_0110_12 - 1/2*c_0110_12^2, c_0011_8*c_0101_11 - 2/11*c_0011_10*c_0110_5 - 1/11*c_0101_10*c_0110_5 - 6/11*c_0101_11*c_0110_5 + 1/11*c_0110_12*c_0110_5 + 9/11*c_0011_10 - 1/11*c_0101_10 - 6/11*c_0101_11 + 1/11*c_0110_12, c_0011_9*c_0101_11 - 9/11*c_0011_10*c_0110_5 + 1/11*c_0101_10*c_0110_5 + 6/11*c_0101_11*c_0110_5 - 1/11*c_0110_12*c_0110_5 + 2/11*c_0011_10 + 1/11*c_0101_10 + 6/11*c_0101_11 - 1/11*c_0110_12, c_0101_10*c_0101_11 + 1/2*c_0011_10*c_0110_12 - 1/2*c_0101_10*c_0110_12 + 1/2*c_0101_11*c_0110_12 - 1/2*c_0110_12^2, c_0101_11^2 + 1/2*c_0011_10*c_0110_12 - c_0101_11*c_0110_12 + 1/2*c_0110_12^2, c_0011_10*c_0101_2 - c_0011_10 + c_0101_11 - 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_0101_11, c_0101_11*c_0101_2 + c_0011_10 - c_0101_11, c_0101_2^2 - c_1001_2, c_0011_8*c_0110_12 - 5/11*c_0011_10*c_0110_5 + 3/11*c_0101_10*c_0110_5 - 4/11*c_0101_11*c_0110_5 - 3/11*c_0110_12*c_0110_5 + 6/11*c_0011_10 - 8/11*c_0101_10 - 4/11*c_0101_11 - 3/11*c_0110_12, c_0011_9*c_0110_12 - 6/11*c_0011_10*c_0110_5 + 8/11*c_0101_10*c_0110_5 + 4/11*c_0101_11*c_0110_5 + 3/11*c_0110_12*c_0110_5 + 5/11*c_0011_10 - 3/11*c_0101_10 + 4/11*c_0101_11 + 3/11*c_0110_12, c_0101_2*c_0110_12 + c_0011_10 - c_0101_10 - c_0110_12, c_0011_8*c_0110_5 + c_0110_5*c_1001_2 - 1/3*c_1001_2^2 - c_0011_10 - 6*c_0011_8 + 4*c_0011_9 - c_0101_10 - c_0101_11 - 1/3*c_0101_2 + 3*c_0110_5 + 3*c_1001_2 + 7/3, c_0011_9*c_0110_5 - 3*c_0110_5*c_1001_2 + 1/3*c_1001_2^2 - c_0011_10 + 3*c_0011_8 - 7*c_0011_9 + c_0101_10 + 7/3*c_0101_2 + 2*c_0110_12 - 3*c_1001_2 - 13/3, c_0101_2*c_0110_5 + c_0011_8 + c_0011_9 - c_0101_2 - c_0110_5 + 1, c_0110_5^2 + 2*c_0110_5*c_1001_2 - 1/3*c_1001_2^2 - 2*c_0011_10 - 7*c_0011_8 + 4*c_0011_9 - c_0101_10 - 2*c_0101_11 + 2/3*c_0101_2 - c_0110_12 + 2*c_0110_5 + 3*c_1001_2 + 7/3, c_0011_10*c_1001_2 - c_0011_10 - c_0101_10 + 2*c_0101_11 - 2*c_0110_12, c_0011_8*c_1001_2 - 1/3*c_1001_2^2 + c_0011_9 - 1/3*c_0101_2 + 1/3, c_0011_9*c_1001_2 + 3*c_0110_5*c_1001_2 - 1/3*c_1001_2^2 - 4*c_0011_8 + 6*c_0011_9 - 4/3*c_0101_2 + 2*c_0110_5 + 3*c_1001_2 + 10/3, c_0101_10*c_1001_2 - c_0110_12, c_0101_11*c_1001_2 + 2*c_0011_10 - 2*c_0101_11 + c_0110_12, c_0101_2*c_1001_2 - 1/3*c_1001_2^2 + 2/3*c_0101_2 - c_1001_2 - 2/3, c_0110_12*c_1001_2 + c_0011_10 - c_0101_10 - 2*c_0101_11, 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" ], [ "c_0110_12" ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... Status: Computing Groebner basis... Time: 0.010 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: 0.000 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: 0.010 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: 0.000 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: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 1 ] ... Time: 0.010 Status: Computing Groebner basis... Time: 0.010 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: 0.010 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: 0.000 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: 0.040 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.050 ==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 + 1/3*c_1001_2^3 - 2/3*c_1001_2^2 - 11/3*c_1001_2 - 8/3, c_0011_3 + 1/3*c_1001_2^3 - 4/3*c_1001_2^2 - 2/3*c_1001_2 + 5/3, c_0011_7 - 1, c_0011_8 + 2/11*c_0110_5*c_1001_2^3 - 23/33*c_0110_5*c_1001_2^2 - 7/11*c_0110_5*c_1001_2 - 17/33*c_0110_5 - 5/33*c_1001_2^3 + 7/11*c_1001_2^2 + 1/33*c_1001_2 - 2/11, c_0011_9 + 5/33*c_0110_5*c_1001_2^3 - 7/11*c_0110_5*c_1001_2^2 - 1/33*c_0110_5*c_1001_2 + 2/11*c_0110_5 - 2/11*c_1001_2^3 + 23/33*c_1001_2^2 + 7/11*c_1001_2 + 17/33, c_0101_0 - 1, c_0101_10 + c_1001_2^3 - 3*c_1001_2^2 - 7*c_1001_2 - 3, c_0101_11 - 2/3*c_1001_2^3 + 2*c_1001_2^2 + 13/3*c_1001_2 + 2, c_0101_2 - 1/3*c_1001_2^3 + 4/3*c_1001_2^2 + 2/3*c_1001_2 - 2/3, c_0110_12 - 1, c_0110_5^2 + 4/3*c_0110_5*c_1001_2^3 - 14/3*c_0110_5*c_1001_2^2 - 17/3*c_0110_5*c_1001_2 - 11/3*c_0110_5 + 7/3*c_1001_2^3 - 23/3*c_1001_2^2 - 41/3*c_1001_2 - 17/3, c_1001_2^4 - 3*c_1001_2^3 - 7*c_1001_2^2 - 3*c_1001_2 + 1 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==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 - 1/2*c_1001_2^3 + 2*c_1001_2^2 - 2*c_1001_2 - 5/2, c_0011_3 - 3/4*c_1001_2^3 + 11/4*c_1001_2^2 - 9/4*c_1001_2 - 5/2, c_0011_7 - 1, c_0011_8 - 19/44*c_0110_5*c_1001_2^3 + 71/44*c_0110_5*c_1001_2^2 - 69/44*c_0110_5*c_1001_2 - 61/22*c_0110_5 + 7/22*c_1001_2^3 - 25/22*c_1001_2^2 + 15/22*c_1001_2 + 19/11, c_0011_9 - 7/22*c_0110_5*c_1001_2^3 + 25/22*c_0110_5*c_1001_2^2 - 15/22*c_0110_5*c_1001_2 - 19/11*c_0110_5 + 19/44*c_1001_2^3 - 71/44*c_1001_2^2 + 69/44*c_1001_2 + 61/22, c_0101_0 - 1, c_0101_10 + 1/4*c_1001_2^3 - 3/4*c_1001_2^2 + 1/4*c_1001_2 + 2, c_0101_11 - 3/8*c_1001_2^3 + 11/8*c_1001_2^2 - 13/8*c_1001_2 - 9/4, c_0101_2 + 3/4*c_1001_2^3 - 11/4*c_1001_2^2 + 9/4*c_1001_2 + 7/2, c_0110_12 - 1, c_0110_5^2 - 7/4*c_0110_5*c_1001_2^3 + 27/4*c_0110_5*c_1001_2^2 - 25/4*c_0110_5*c_1001_2 - 21/2*c_0110_5 - 3/2*c_1001_2^3 + 6*c_1001_2^2 - 7*c_1001_2 - 15/2, c_1001_2^4 - 3*c_1001_2^3 + 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== ==GENUS=FOR=COMPONENT=BEGINS== 0 ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 2.720 seconds, Total memory usage: 32.09MB