Magma V2.22-2 Sun Aug 9 2020 22:19:17 on zickert [Seed = 1194076133] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/12_tetrahedra/L11n244__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n244 degenerate_solution 7.32772475 oriented_manifold CS_unknown 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 -0.200000000150 0.399999999906 0 5 2 6 0132 0132 2031 0132 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 0 0 0 0 1 -1 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000215 0.000000000446 3 0 7 1 2031 0132 0132 1302 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 0 0 0 0 0 0 0 1 -1 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 2.000000000827 1.999999999681 6 5 2 0 0132 2310 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999999999536 0.000000001322 8 8 0 7 0132 1230 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999999999655 2.000000000058 6 1 9 3 3012 0132 0132 3201 0 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 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 1.999999999940 2.000000000449 3 10 1 5 0132 0132 0132 1230 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 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 1.999999999940 2.000000000449 4 8 8 2 3012 3120 1230 0132 1 1 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 -1 0 1 -1 0 1 0 0 0 0 0 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000086 0.499999999985 4 7 4 7 0132 3120 3012 3012 1 1 1 1 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 -2 -1 3 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800000000051 0.400000000048 10 11 11 5 2031 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000258 0.499999999769 11 6 9 11 2031 0132 1302 1023 0 0 0 0 0 0 0 0 1 0 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 -3 0 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 -0.000000000229 0.500000000006 9 9 10 10 2031 0132 1302 1023 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 -1 3 -2 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000915 1.999999999974 ==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_0101_3' : d['c_0011_0'], 'c_0110_6' : 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_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_1100_7' : d['c_0101_1'], 'c_0110_8' : d['c_0101_1'], 'c_1100_1' : d['c_0110_5'], 'c_1001_0' : - d['c_0110_5'], 'c_1010_2' : - d['c_0110_5'], 'c_1010_3' : - d['c_0110_5'], 'c_1100_6' : d['c_0110_5'], 'c_0110_5' : d['c_0110_5'], 'c_1010_0' : d['c_0011_4'], 'c_1001_2' : d['c_0011_4'], 'c_1001_4' : d['c_0011_4'], 'c_1010_7' : d['c_0011_4'], 'c_1100_8' : - d['c_0011_4'], 'c_1001_7' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_8' : - d['c_0011_4'], 'c_1001_8' : - d['c_0011_4'], 'c_0101_2' : 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_0110_7' : d['c_0101_2'], 'c_1001_1' : - d['c_0110_2'], 'c_1010_5' : - d['c_0110_2'], 'c_0110_2' : d['c_0110_2'], 'c_1001_3' : d['c_0110_2'], 'c_0110_10' : d['c_0110_10'], 'c_1010_1' : d['c_0110_10'], 'c_1001_5' : d['c_0110_10'], 'c_1001_6' : d['c_0110_10'], 'c_1010_9' : d['c_0110_10'], 'c_1010_10' : d['c_0110_10'], 'c_1001_11' : d['c_0110_10'], 'c_1001_9' : d['c_0110_10'], 'c_1010_11' : d['c_0110_10'], 'c_0110_11' : d['c_0110_10'], 'c_0011_3' : d['c_0011_10'], 'c_0011_6' : - d['c_0011_10'], 'c_1100_5' : - d['c_0011_10'], 'c_1100_9' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0101_11' : - d['c_0011_10'], 'c_1010_4' : d['c_0011_7'], 'c_0110_4' : d['c_0011_7'], 'c_0101_8' : d['c_0011_7'], 'c_0011_7' : d['c_0011_7'], 'c_0101_7' : d['c_0011_7'], 'c_1010_8' : - d['c_0011_7'], 'c_0101_5' : d['c_0101_5'], 'c_1010_6' : d['c_0101_5'], 'c_0110_9' : d['c_0101_5'], 'c_1001_10' : d['c_0101_5'], 'c_0101_9' : - d['c_0011_11'], 'c_1100_10' : - d['c_0011_11'], 'c_0011_9' : - d['c_0011_11'], 'c_0101_10' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_1100_11' : d['c_0011_11'], 's_3_10' : d['1'], 's_0_10' : - d['1'], 's_2_9' : d['1'], 's_1_9' : - d['1'], 's_0_9' : d['1'], 's_2_7' : d['1'], 's_1_7' : - d['1'], 's_1_6' : - d['1'], 's_2_5' : - d['1'], 's_0_5' : d['1'], 's_3_4' : 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_2_3' : d['1'], 's_3_7' : - d['1'], 's_0_6' : d['1'], 's_3_5' : d['1'], 's_0_8' : - d['1'], 's_2_8' : d['1'], 's_0_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : - d['1'], 's_1_10' : - d['1'], 's_1_8' : - d['1'], 's_3_8' : d['1'], 's_2_10' : d['1'], 's_1_11' : - d['1'], 's_0_11' : d['1'], 's_2_11' : - d['1'], 's_3_11' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.140 Status: Saturating ideal ( 1 / 12 )... Time: 0.200 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 12 )... Time: 0.210 Status: Recomputing Groebner basis... Time: 0.120 Status: Saturating ideal ( 3 / 12 )... Time: 0.100 Status: Recomputing Groebner basis... Time: 0.040 Status: Saturating ideal ( 4 / 12 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 5 / 12 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 12 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 7 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 12 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 12 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 12 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 10 ] Status: Computing RadicalDecomposition Time: 0.240 Status: Number of components: 2 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 1.580 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_10, c_0110_2, c_0110_5 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_10*c_0110_5^2 + 3*c_0011_10*c_0110_10 + 3*c_0011_11*c_0110_10 + c_0101_5*c_0110_10 - 4*c_0110_10^2 - c_0011_10*c_0110_5 - c_0011_11*c_0110_5 - 2*c_0101_5*c_0110_5 + 3*c_0110_10*c_0110_5 + c_0011_10, c_0011_11*c_0110_5^2 + c_0011_10*c_0110_10 + 3*c_0011_11*c_0110_10 - 4/3*c_0101_5*c_0110_10 - 7/3*c_0110_10^2 - 2*c_0011_10*c_0110_5 - c_0011_11*c_0110_5 + c_0101_5*c_0110_5 + 3*c_0110_10*c_0110_5 + c_0011_11, c_0101_5*c_0110_5^2 + 4*c_0011_10*c_0110_10 + 2*c_0011_11*c_0110_10 + 8/3*c_0101_5*c_0110_10 - 13/3*c_0110_10^2 - 3*c_0011_10*c_0110_5 + c_0011_11*c_0110_5 - 2*c_0101_5*c_0110_5 + 2*c_0110_10*c_0110_5 + c_0101_5, c_0110_10*c_0110_5^2 - c_0011_11*c_0110_10 + 4/3*c_0101_5*c_0110_10 + 1/3*c_0110_10^2 + 2*c_0011_11*c_0110_5 - c_0101_5*c_0110_5 + c_0110_10*c_0110_5 + c_0110_10, c_0110_5^3 - c_0011_11*c_0110_5 + 4/3*c_0101_5*c_0110_5 + 1/3*c_0110_10*c_0110_5 + 4*c_0110_5^2 + 2*c_0011_10 - 7*c_0011_11 + 23*c_0011_4 + 24*c_0011_7 + 19*c_0101_0 - 13*c_0101_2 + 28/3*c_0101_5 + 4/3*c_0110_10 + 16*c_0110_2 - 16*c_0110_5 + 12, c_0011_10^2 - 2*c_0011_10*c_0110_10 - 2*c_0011_11*c_0110_10 + c_0101_5*c_0110_10 + 2*c_0110_10^2, c_0011_10*c_0011_11 - c_0011_11*c_0110_10 + c_0101_5*c_0110_10, c_0011_11^2 + c_0011_10*c_0110_10 - c_0110_10^2, c_0011_10*c_0011_4 + c_0101_5, c_0011_11*c_0011_4 + c_0011_11 + 1/3*c_0101_5 - 2/3*c_0110_10, c_0011_4^2 + 4/3*c_0011_4 - c_0011_7 + 1/3*c_0101_2 + 1, c_0011_10*c_0011_7 - c_0011_10 + c_0011_11, c_0011_11*c_0011_7 - c_0011_10 + 1/3*c_0101_5 + 1/3*c_0110_10, c_0011_4*c_0011_7 - 2/3*c_0011_4 + c_0011_7 - 2/3*c_0101_2 - 1, c_0011_7^2 + 1/3*c_0011_4 - c_0011_7 + 1/3*c_0101_2 + 1, c_0011_10*c_0101_0 + 4*c_0011_10*c_0110_5 - 2*c_0011_11*c_0110_5 - 2*c_0101_5*c_0110_5 - c_0110_10*c_0110_5 + 5*c_0011_10 - 3*c_0011_11 - 3*c_0101_5, c_0011_11*c_0101_0 + 3*c_0011_10*c_0110_5 - c_0011_11*c_0110_5 - 2*c_0101_5*c_0110_5 + 3*c_0011_10 - c_0011_11 - 2*c_0101_5 + c_0110_10, c_0011_4*c_0101_0 + c_0101_2 - c_0110_5, c_0011_7*c_0101_0 + c_0110_5^2 - c_0011_11 + 3*c_0011_4 + 4*c_0011_7 + 2*c_0101_0 - c_0101_2 + 4/3*c_0101_5 + 1/3*c_0110_10 + 2*c_0110_2 - 2*c_0110_5 + 1, c_0101_0^2 + c_0011_10 + 2*c_0011_4 + c_0011_7 + 4*c_0101_0 - 3*c_0101_2 + c_0110_2 + c_0110_5 + 2, c_0011_10*c_0101_2 + c_0110_10, c_0011_11*c_0101_2 - c_0011_10 + c_0011_11 + 2/3*c_0101_5 + 2/3*c_0110_10, c_0011_4*c_0101_2 + 2/3*c_0011_4 + 2/3*c_0101_2 + 1, c_0011_7*c_0101_2 + 2/3*c_0011_4 + c_0011_7 - 1/3*c_0101_2, c_0101_0*c_0101_2 - 2*c_0011_4 - c_0011_7 + 2*c_0101_2 - c_0110_2 - 1, c_0101_2^2 + 1/3*c_0011_4 + c_0011_7 + 4/3*c_0101_2, c_0011_10*c_0101_5 - 2*c_0011_10*c_0110_10 - 3*c_0011_11*c_0110_10 + 3*c_0110_10^2, c_0011_11*c_0101_5 - 2*c_0011_11*c_0110_10 + c_0101_5*c_0110_10 + c_0110_10^2, c_0011_4*c_0101_5 - c_0011_11 + 4/3*c_0101_5 + 1/3*c_0110_10, c_0011_7*c_0101_5 + c_0011_11 - 2/3*c_0101_5 - 2/3*c_0110_10, c_0101_0*c_0101_5 + c_0011_10*c_0110_5 + c_0110_10, c_0101_2*c_0101_5 - c_0011_10 + 2/3*c_0101_5 + 2/3*c_0110_10, c_0101_5^2 - 3*c_0011_10*c_0110_10 - 3*c_0011_11*c_0110_10 - c_0101_5*c_0110_10 + 4*c_0110_10^2, c_0011_4*c_0110_10 - c_0011_10 + 2/3*c_0101_5 + 2/3*c_0110_10, c_0011_7*c_0110_10 - c_0011_10 + c_0011_11 + 2/3*c_0101_5 - 1/3*c_0110_10, c_0101_0*c_0110_10 + 5*c_0011_10*c_0110_5 - 3*c_0011_11*c_0110_5 - 3*c_0101_5*c_0110_5 + 6*c_0011_10 - 3*c_0011_11 - 4*c_0101_5 + c_0110_10, c_0101_2*c_0110_10 - c_0011_10 + c_0011_11 + 1/3*c_0101_5 + 4/3*c_0110_10, c_0011_10*c_0110_2 - 5*c_0011_10*c_0110_5 + 3*c_0011_11*c_0110_5 + 3*c_0101_5*c_0110_5 - 4*c_0011_10 + 2*c_0011_11 + 2*c_0101_5 + c_0110_10, c_0011_11*c_0110_2 - 3*c_0011_10*c_0110_5 + c_0011_11*c_0110_5 + 2*c_0101_5*c_0110_5 - c_0110_10*c_0110_5 - 3*c_0011_10 + c_0011_11 + 2*c_0101_5, c_0011_4*c_0110_2 + 5/3*c_0011_4 + 5/3*c_0011_7 + c_0101_0 - 2/3*c_0101_2 + 2/3*c_0110_2 + 2/3*c_0110_5 + 5/3, c_0011_7*c_0110_2 - c_0110_5^2 + c_0011_11 - 4/3*c_0011_4 - 7/3*c_0011_7 - 2*c_0101_0 + 4/3*c_0101_2 - 4/3*c_0101_5 - 1/3*c_0110_10 - 7/3*c_0110_2 + 8/3*c_0110_5 - 1/3, c_0101_0*c_0110_2 - c_0110_10 + c_0110_5, c_0101_2*c_0110_2 - c_0110_5^2 + c_0011_11 - 5/3*c_0011_4 - 5/3*c_0011_7 - 2*c_0101_0 + 2/3*c_0101_2 - 4/3*c_0101_5 - 1/3*c_0110_10 - 2/3*c_0110_2 + 7/3*c_0110_5 - 5/3, c_0101_5*c_0110_2 - c_0110_10*c_0110_5 - c_0011_10, c_0110_10*c_0110_2 - 6*c_0011_10*c_0110_5 + 3*c_0011_11*c_0110_5 + 4*c_0101_5*c_0110_5 - c_0110_10*c_0110_5 - 5*c_0011_10 + 3*c_0011_11 + 3*c_0101_5, c_0110_2^2 - c_0110_5^2 - c_0011_10 + 2*c_0011_11 - 7*c_0011_4 - 6*c_0011_7 - 5*c_0101_0 + 2*c_0101_2 - c_0101_5 + c_0110_10 - 7, c_0011_4*c_0110_5 + c_0110_5^2 - c_0011_11 + 13/3*c_0011_4 + 13/3*c_0011_7 + 3*c_0101_0 - 7/3*c_0101_2 + 4/3*c_0101_5 + 1/3*c_0110_10 + 7/3*c_0110_2 - 2/3*c_0110_5 + 7/3, c_0011_7*c_0110_5 - c_0110_5^2 + c_0011_11 - 11/3*c_0011_4 - 11/3*c_0011_7 - 3*c_0101_0 + 8/3*c_0101_2 - 4/3*c_0101_5 - 1/3*c_0110_10 - 8/3*c_0110_2 + 4/3*c_0110_5 - 5/3, c_0101_0*c_0110_5 - c_0110_5^2 + c_0011_11 - 6*c_0011_4 - 6*c_0011_7 - 4*c_0101_0 + 3*c_0101_2 - 7/3*c_0101_5 - 1/3*c_0110_10 - 4*c_0110_2 + 4*c_0110_5 - 3, c_0101_2*c_0110_5 + 5/3*c_0011_4 + 5/3*c_0011_7 + c_0101_0 - 2/3*c_0101_2 + 2/3*c_0110_2 + 2/3*c_0110_5 + 2/3, c_0110_2*c_0110_5 - 2*c_0110_5^2 - c_0011_10 + 2*c_0011_11 - 6*c_0011_4 - 6*c_0011_7 - 5*c_0101_0 + 3*c_0101_2 - 2*c_0101_5 - 3*c_0110_2 + 3*c_0110_5 - 4, c_0011_0 - 1, c_0101_1 - 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_10, c_0110_2, c_0110_5 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_11^2 + c_0011_11*c_0110_10 + c_0110_10^2, c_0011_11*c_0101_0 + c_0011_11*c_0110_5 - c_0110_10*c_0110_5 + c_0011_11, c_0101_0^2 + c_0011_11 - 4*c_0101_0 + 2*c_0110_10 + 3*c_0110_2 - 12*c_0110_5 - 8, c_0101_0*c_0110_10 + c_0011_11*c_0110_5 + 2*c_0110_10*c_0110_5 + c_0110_10, c_0011_11*c_0110_2 - c_0011_11*c_0110_5 - c_0011_11 + c_0110_10, c_0101_0*c_0110_2 - c_0110_10 + c_0110_5, c_0110_10*c_0110_2 - c_0110_10*c_0110_5 - c_0011_11 - 2*c_0110_10, c_0110_2^2 - 1/3*c_0011_11 + c_0101_0 + 1/3*c_0110_10 - 3*c_0110_2 + 3*c_0110_5 + 5, c_0101_0*c_0110_5 + 3*c_0101_0 - c_0110_10 - c_0110_2 + 5*c_0110_5 + 3, c_0110_2*c_0110_5 - 1/3*c_0011_11 + 1/3*c_0110_10 + 1, c_0110_5^2 - 1/3*c_0011_11 - c_0101_0 + 1/3*c_0110_10, c_0011_0 - 1, c_0011_10 - c_0011_11 - 2*c_0110_10, c_0011_4 - 1/3*c_0110_2 + 1/3*c_0110_5 + 1, c_0011_7 - 2/3*c_0110_2 + 2/3*c_0110_5 + 1, c_0101_1 - 1, c_0101_2 - 1/3*c_0110_2 + 1/3*c_0110_5 + 1, c_0101_5 - c_0110_10 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0110_10" ], [ "c_0110_10" ] ] 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 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 12 )... Time: 0.010 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 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 1 ] ... Time: 0.010 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.050 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.010 ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_10, c_0110_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 6021/28625*c_0110_5^7 - 4431/5725*c_0110_5^6 + 20556/28625*c_0110_5^5 + 18504/5725*c_0110_5^4 - 171693/28625*c_0110_5^3 - 25326/28625*c_0110_5^2 + 557829/28625*c_0110_5 + 302748/28625, c_0011_11 - 1017/5725*c_0110_5^7 + 3621/5725*c_0110_5^6 - 3087/5725*c_0110_5^5 - 15267/5725*c_0110_5^4 + 27189/5725*c_0110_5^3 + 5202/5725*c_0110_5^2 - 88221/5725*c_0110_5 - 10954/1145, c_0011_4 + 9717/28625*c_0110_5^7 - 7101/5725*c_0110_5^6 + 32322/28625*c_0110_5^5 + 29454/5725*c_0110_5^4 - 275331/28625*c_0110_5^3 - 39712/28625*c_0110_5^2 + 894903/28625*c_0110_5 + 519086/28625, c_0011_7 + 14802/28625*c_0110_5^7 - 10722/5725*c_0110_5^6 + 47757/28625*c_0110_5^5 + 44721/5725*c_0110_5^4 - 411276/28625*c_0110_5^3 - 65722/28625*c_0110_5^2 + 1336008/28625*c_0110_5 + 764311/28625, c_0101_0 - 34368/28625*c_0110_5^7 + 25461/5725*c_0110_5^6 - 124353/28625*c_0110_5^5 - 99162/5725*c_0110_5^4 + 965394/28625*c_0110_5^3 + 80313/28625*c_0110_5^2 - 3034557/28625*c_0110_5 - 1664549/28625, c_0101_1 - 1, c_0101_2 + 12954/28625*c_0110_5^7 - 9387/5725*c_0110_5^6 + 41874/28625*c_0110_5^5 + 39246/5725*c_0110_5^4 - 359457/28625*c_0110_5^3 - 58529/28625*c_0110_5^2 + 1167471/28625*c_0110_5 + 713392/28625, c_0101_5 - 5544/28625*c_0110_5^7 + 801/1145*c_0110_5^6 - 17649/28625*c_0110_5^5 - 657/229*c_0110_5^4 + 155457/28625*c_0110_5^3 + 21579/28625*c_0110_5^2 - 505611/28625*c_0110_5 - 295882/28625, c_0110_10 - 1, c_0110_2 + 15318/28625*c_0110_5^7 - 11697/5725*c_0110_5^6 + 64188/28625*c_0110_5^5 + 40437/5725*c_0110_5^4 - 430719/28625*c_0110_5^3 + 23877/28625*c_0110_5^2 + 1257407/28625*c_0110_5 + 697479/28625, c_0110_5^8 - 3*c_0110_5^7 + c_0110_5^6 + 17*c_0110_5^5 - 18*c_0110_5^4 - 22*c_0110_5^3 + 87*c_0110_5^2 + 111*c_0110_5 + 103/3 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_10, c_0110_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 9/19*c_0110_5^3 - 30/19*c_0110_5^2 - 45/19*c_0110_5 - 51/19, c_0011_11 - 9/19*c_0110_5^3 - 30/19*c_0110_5^2 - 45/19*c_0110_5 - 13/19, c_0011_4 - 3/19*c_0110_5^3 - 10/19*c_0110_5^2 - 15/19*c_0110_5 + 2/19, c_0011_7 - 6/19*c_0110_5^3 - 20/19*c_0110_5^2 - 30/19*c_0110_5 - 15/19, c_0101_0 + 3/19*c_0110_5^3 - 9/19*c_0110_5^2 + 15/19*c_0110_5 - 2/19, c_0101_1 - 1, c_0101_2 - 3/19*c_0110_5^3 - 10/19*c_0110_5^2 - 15/19*c_0110_5 + 2/19, c_0101_5 - 1, c_0110_10 - 1, c_0110_2 - 9/19*c_0110_5^3 - 30/19*c_0110_5^2 - 64/19*c_0110_5 - 51/19, c_0110_5^4 + 3*c_0110_5^3 + 6*c_0110_5^2 + 4*c_0110_5 + 7/3 ] ==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: 2.549 seconds, Total memory usage: 32.09MB