Magma V2.22-2 Sun Aug 9 2020 22:19:29 on zickert [Seed = 343451633] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/12_tetrahedra/L14n38402__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38402 degenerate_solution 7.72362893 oriented_manifold CS_unknown 2 0 torus 0.000000000000 -0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 0213 1 1 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 -1 1 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 0.800000002096 0.400000000788 0 4 6 5 0132 0132 0132 0132 0 1 1 1 0 1 0 -1 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 2 0 -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 0.750000001971 0.250000000160 3 0 3 0 1230 0132 3120 0213 1 1 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 1 -1 0 0 -1 1 -2 1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799999998944 0.399999999331 6 2 2 0 0321 3012 3120 0132 1 1 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 -1 0 1 0 0 1 -1 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000003587 0.500000001196 6 1 7 8 2031 0132 0132 0132 0 0 1 1 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 -2 0 2 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 0.999999999841 0.000000001027 6 7 1 8 1302 0132 0132 2310 0 1 0 1 0 -1 1 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 2 -1 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 0.000000003007 0.000000004111 3 5 4 1 0321 2031 1302 0132 0 1 1 1 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 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 0 0 -0.200000001758 0.400000000284 8 5 9 4 1230 0132 0132 0132 0 0 1 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 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 1.000000005618 0.577350269117 5 7 4 10 3201 3012 0132 0132 0 0 0 1 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 -2 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 0.999999997637 0.577350269373 10 11 10 7 1302 0132 1230 0132 0 0 0 0 0 0 -1 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 0 0 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000002411 0.433012696833 11 9 8 9 2310 2031 0132 3012 0 0 0 0 0 1 -1 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 1 -2 1 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749999998738 0.433012709107 11 9 10 11 3012 0132 3201 1230 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 1 -1 1 0 0 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499999999426 0.288675136539 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_1010_0' : - d['c_0011_0'], 'c_1001_2' : - d['c_0011_0'], 'c_1100_2' : - d['c_0011_0'], 'c_0011_0' : d['c_0011_0'], 'c_0011_1' : - d['c_0011_0'], 'c_0011_2' : - d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_1001_3' : d['c_0011_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_6' : - d['c_0011_0'], 'c_0101_0' : - d['c_0011_6'], 'c_0110_1' : - d['c_0011_6'], 'c_0110_3' : - d['c_0011_6'], 'c_0101_5' : - d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_0110_0' : - d['c_0011_3'], 'c_0101_1' : - d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_6' : - d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_2'], 'c_1100_0' : - d['c_0101_2'], 'c_1100_3' : - d['c_0101_2'], 'c_1001_0' : - d['c_0101_2'], 'c_1010_2' : - d['c_0101_2'], 'c_1010_3' : - d['c_0101_2'], 'c_0011_5' : d['c_0011_5'], 'c_1001_1' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_6' : d['c_0011_5'], 'c_1001_8' : d['c_0011_5'], 'c_0011_7' : - d['c_0011_5'], 'c_1010_1' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_5' : d['c_1001_4'], 'c_1010_7' : d['c_1001_4'], 'c_0101_4' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_6' : d['c_0011_8'], 'c_1100_5' : d['c_0011_8'], 'c_0110_7' : d['c_0011_8'], 'c_0011_8' : d['c_0011_8'], 'c_0110_5' : - d['c_0101_8'], 'c_0110_4' : d['c_0101_8'], 'c_1001_6' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_1001_9' : d['c_0101_11'], 'c_1010_11' : d['c_0101_11'], 'c_1100_4' : - d['c_0101_11'], 'c_1100_7' : - d['c_0101_11'], 'c_1100_8' : - d['c_0101_11'], 'c_1100_9' : - d['c_0101_11'], 'c_1100_10' : - d['c_0101_11'], 'c_0110_10' : - d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_1010_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_1001_11' : - d['c_0101_10'], 'c_0101_7' : d['c_0101_7'], 'c_1010_8' : - d['c_0101_7'], 'c_0110_9' : d['c_0101_7'], 'c_1001_10' : - d['c_0101_7'], 'c_0101_9' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_9' : d['c_0011_10'], 'c_1010_10' : d['c_0011_10'], 'c_0011_11' : - d['c_0011_10'], 'c_1100_11' : - d['c_0011_10'], 'c_0110_11' : - d['c_0011_10'], 's_0_11' : d['1'], 's_0_10' : d['1'], 's_2_9' : - d['1'], 's_1_9' : d['1'], 's_0_9' : d['1'], 's_3_8' : - d['1'], 's_2_7' : - d['1'], 's_0_7' : d['1'], 's_3_5' : d['1'], 's_1_5' : d['1'], 's_0_5' : d['1'], 's_3_4' : - d['1'], 's_2_4' : - d['1'], 's_0_4' : 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_3_2' : - d['1'], 's_1_4' : d['1'], 's_3_6' : d['1'], 's_2_5' : d['1'], 's_1_3' : d['1'], 's_2_3' : d['1'], 's_0_6' : d['1'], 's_2_6' : d['1'], 's_3_7' : - d['1'], 's_2_8' : - d['1'], 's_1_6' : d['1'], 's_1_7' : d['1'], 's_0_8' : d['1'], 's_1_8' : d['1'], 's_3_9' : - d['1'], 's_2_10' : - d['1'], 's_1_10' : d['1'], 's_1_11' : d['1'], 's_3_10' : - d['1'], 's_2_11' : d['1'], 's_3_11' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.070 Status: Saturating ideal ( 1 / 12 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 12 )... Time: 0.080 Status: Recomputing Groebner basis... Time: 0.070 Status: Saturating ideal ( 3 / 12 )... Time: 0.060 Status: Recomputing Groebner basis... Time: 0.040 Status: Saturating ideal ( 4 / 12 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 12 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 12 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 12 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 12 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 12 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.040 Status: Saturating ideal ( 11 / 12 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.020 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: 0.100 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 1.070 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_3, c_0011_5, c_0011_6, c_0011_8, c_0101_10, c_0101_11, c_0101_2, c_0101_7, c_0101_8, c_1001_4 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_10^3 + 34/11*c_0101_10^2*c_0101_7 + 4/11*c_0011_10*c_0101_11*c_0101_7 + 6/11*c_0101_11^2*c_0101_7 + 4/11*c_0011_10*c_0101_7^2 + 30/11*c_0101_10*c_0101_7^2 + 7/11*c_0101_11*c_0101_7^2 + 8/11*c_0101_7^3, c_0011_10*c_0101_11^2 + 3/11*c_0101_10^2*c_0101_7 + 12/11*c_0011_10*c_0101_11*c_0101_7 + 18/11*c_0101_11^2*c_0101_7 + 12/11*c_0011_10*c_0101_7^2 + 13/11*c_0101_10*c_0101_7^2 + 10/11*c_0101_11*c_0101_7^2 + 2/11*c_0101_7^3, c_0101_11^3 + 1/11*c_0101_10^2*c_0101_7 + 15/11*c_0011_10*c_0101_11*c_0101_7 + 17/11*c_0101_11^2*c_0101_7 + 15/11*c_0011_10*c_0101_7^2 + 8/11*c_0101_10*c_0101_7^2 + 7/11*c_0101_11*c_0101_7^2 - 3/11*c_0101_7^3, c_0011_8*c_0101_7^2 - c_0101_10^2*c_1001_4 + c_0101_11^2*c_1001_4 - 3*c_0101_10*c_0101_7*c_1001_4 - 3*c_0101_7^2*c_1001_4 - c_0101_10^2 - 2*c_0011_10*c_0101_11 - 4*c_0101_11^2 - 4*c_0011_10*c_0101_7 - 4*c_0101_10*c_0101_7 - 4*c_0101_11*c_0101_7, c_0101_2*c_0101_7^2 + c_0101_10^2 - c_0011_10*c_0101_11 + 2*c_0101_11^2 + c_0011_10*c_0101_7 + 2*c_0101_10*c_0101_7 - c_0101_11*c_0101_7, c_0101_10^2*c_0101_8 - c_0101_11^2*c_1001_4 - c_0011_10*c_0101_7*c_1001_4 - c_0101_10*c_0101_7*c_1001_4 - 3*c_0101_10^2 - 3*c_0101_10*c_0101_7 - c_0101_7^2, c_0101_11^2*c_0101_8 + c_0101_10^2*c_1001_4 + 2*c_0011_10*c_0101_11*c_1001_4 + 3*c_0101_11^2*c_1001_4 + 5*c_0011_10*c_0101_7*c_1001_4 + 4*c_0101_10*c_0101_7*c_1001_4 + 5*c_0101_11*c_0101_7*c_1001_4 - c_0011_10*c_0101_11 - 3*c_0011_10*c_0101_7 - 4*c_0101_11*c_0101_7 + c_0101_7^2, c_0011_8*c_0101_7*c_0101_8 + c_0101_10^2 + 2*c_0011_10*c_0101_11 + 4*c_0101_11^2 + 4*c_0011_10*c_0101_7 - 2*c_0011_8*c_0101_7 + 4*c_0101_10*c_0101_7 + 4*c_0101_11*c_0101_7 + c_0101_2*c_0101_7 - c_0011_6*c_0101_8 - c_0011_8*c_0101_8 - 3*c_0101_11*c_0101_8 + c_0101_2*c_0101_8 + c_0101_7*c_0101_8 + 3*c_0011_10*c_1001_4 + c_0101_10*c_1001_4 + 4*c_0101_11*c_1001_4 - 5*c_0011_10 + 2*c_0011_8 - 3*c_0101_10 - 6*c_0101_11 - c_0101_2 - c_1001_4, c_0101_10*c_0101_7*c_0101_8 - c_0101_11*c_0101_7*c_1001_4 + c_0101_10^2 - c_0101_11^2, c_0101_11*c_0101_7*c_0101_8 - 3*c_0011_10*c_0101_11*c_1001_4 - 2*c_0101_11^2*c_1001_4 - 4*c_0011_10*c_0101_7*c_1001_4 - c_0101_10*c_0101_7*c_1001_4 - 4*c_0101_11*c_0101_7*c_1001_4 + c_0101_7^2*c_1001_4 + c_0101_10^2 + 2*c_0011_10*c_0101_11 + 4*c_0101_11^2 + 6*c_0011_10*c_0101_7 + 5*c_0101_10*c_0101_7 + 5*c_0101_11*c_0101_7, c_0101_2*c_0101_7*c_0101_8 - c_0011_8*c_0101_7 - c_0101_2*c_0101_7 - c_0101_11*c_0101_8 + c_0101_10*c_1001_4 + 2*c_0101_7*c_1001_4 + 3*c_0101_11, c_0101_7^2*c_0101_8 + c_0101_10^2*c_1001_4 + 2*c_0011_10*c_0101_11*c_1001_4 + 4*c_0101_11^2*c_1001_4 + 4*c_0011_10*c_0101_7*c_1001_4 + 4*c_0101_10*c_0101_7*c_1001_4 + 4*c_0101_11*c_0101_7*c_1001_4 - 3*c_0011_10*c_0101_11 - 2*c_0101_11^2 - 4*c_0011_10*c_0101_7 - 4*c_0101_11*c_0101_7 + c_0101_7^2, c_0011_3*c_0101_8^2 + 4*c_0101_2*c_0101_7 + c_0011_3*c_0101_8 - c_0011_6*c_0101_8 - 5*c_0011_8*c_0101_8 + c_0101_10*c_0101_8 + c_0101_2*c_0101_8 + 2*c_0101_8^2 + c_0011_6*c_1001_4 - c_0101_11*c_1001_4 + c_0101_2*c_1001_4 + c_1001_4^2 + c_0011_10 - 2*c_0011_3 + 7*c_0011_8 - 6*c_0101_10 - 8*c_0101_11 - c_0101_2 - 4*c_0101_7 - 5*c_0101_8 - 5*c_1001_4 + 4, c_0011_6*c_0101_8^2 + 4*c_0101_2*c_0101_7 - 2*c_0011_6*c_0101_8 - 7*c_0011_8*c_0101_8 + 3*c_0101_2*c_0101_8 + 2*c_0101_8^2 + 2*c_0011_6*c_1001_4 + 3*c_0101_2*c_1001_4 + c_1001_4^2 + 2*c_0011_10 - 4*c_0011_3 - c_0011_6 + 10*c_0011_8 - 4*c_0101_10 - 9*c_0101_11 - c_0101_2 - 3*c_0101_7 - 3*c_0101_8 - 5*c_1001_4 + 7, c_0011_8*c_0101_8^2 - c_0011_8*c_0101_7 - 3*c_0101_2*c_0101_7 + 2*c_0011_3*c_0101_8 + 2*c_0011_6*c_0101_8 + 4*c_0011_8*c_0101_8 + 2*c_0101_11*c_0101_8 - 4*c_0101_2*c_0101_8 - c_0101_7*c_0101_8 - 3*c_0011_10*c_1001_4 - 2*c_0011_6*c_1001_4 - 4*c_0101_11*c_1001_4 - 7/2*c_0101_2*c_1001_4 + 3*c_0101_7*c_1001_4 - 1/2*c_1001_4^2 + 3*c_0011_10 + 3*c_0011_3 + 2*c_0011_6 - 8*c_0011_8 + 9/2*c_0101_10 + 12*c_0101_11 + 2*c_0101_2 + c_0101_7 - c_0101_8 + 3*c_1001_4 - 11/2, c_0101_10*c_0101_8^2 + c_0101_11^2 - c_0011_6*c_0101_8 - c_0011_8*c_0101_8 - 2*c_0101_10*c_0101_8 + c_0101_2*c_0101_8 + 2*c_0011_10*c_1001_4 + c_0101_10*c_1001_4 + 3*c_0101_11*c_1001_4 - 3*c_0011_10 + 2*c_0011_8 - 4*c_0101_11 - c_0101_2 + c_0101_7 - c_1001_4, c_0101_11*c_0101_8^2 - c_0101_10^2 - 2*c_0011_10*c_0101_11 - 3*c_0101_11^2 - 5*c_0011_10*c_0101_7 - 4*c_0101_10*c_0101_7 - 5*c_0101_11*c_0101_7 + c_0101_10*c_0101_8 + c_0101_11*c_0101_8 - 2*c_0101_7*c_0101_8 + 2*c_0011_10*c_1001_4 - 2*c_0101_10 - c_0101_11, c_0101_2*c_0101_8^2 + 2*c_0101_2*c_0101_7 + 2*c_0011_3*c_0101_8 - c_0011_6*c_0101_8 - 2*c_0011_8*c_0101_8 - c_0101_2*c_0101_8 + 2*c_0101_8^2 - 1/2*c_0101_2*c_1001_4 + 1/2*c_1001_4^2 - c_0011_3 + c_0011_6 + 3*c_0011_8 - 5/2*c_0101_10 - 5*c_0101_11 - 2*c_0101_7 - 4*c_0101_8 - 3*c_1001_4 + 3/2, c_0101_7*c_0101_8^2 + 3*c_0011_10*c_0101_11 + 2*c_0101_11^2 + 4*c_0011_10*c_0101_7 + c_0101_10*c_0101_7 + 4*c_0101_11*c_0101_7 - c_0101_7^2 + c_0101_10*c_0101_8 - 2*c_0101_11*c_0101_8 + c_0101_7*c_0101_8 + c_0101_11*c_1001_4 - c_0101_7*c_1001_4 - 2*c_0011_10 - c_0101_10 - c_0101_11, c_0101_8^3 - 2*c_0101_2*c_0101_7 + 4*c_0011_3*c_0101_8 + c_0011_6*c_0101_8 + 5*c_0011_8*c_0101_8 - c_0101_10*c_0101_8 + 2*c_0101_11*c_0101_8 - 4*c_0101_2*c_0101_8 - 3*c_0101_7*c_0101_8 - c_0101_8^2 - 2*c_0011_10*c_1001_4 - 3*c_0011_6*c_1001_4 - c_0101_10*c_1001_4 - 4*c_0101_11*c_1001_4 - 4*c_0101_2*c_1001_4 + c_0101_7*c_1001_4 + c_0011_10 + 3*c_0011_3 + 4*c_0011_6 - 8*c_0011_8 + 4*c_0101_10 + 6*c_0101_11 + c_0101_2 + 2*c_0101_7 - 2*c_0101_8 + c_1001_4 - 7, c_0101_2*c_0101_7*c_1001_4 + c_0101_2*c_0101_7 - c_0101_11*c_0101_8 - c_0101_7*c_0101_8 + c_0011_10*c_1001_4 - c_0101_10*c_1001_4 - c_0101_11*c_1001_4 - c_0101_7*c_1001_4 - c_0011_10 - 3*c_0101_10 - 2*c_0101_11 - c_0101_7, c_0011_10*c_1001_4^2 + c_0011_10*c_0101_11 - c_0011_8*c_0101_7 + c_0101_11*c_0101_7 - c_0101_11*c_0101_8 - c_0101_10*c_1001_4 - c_0101_7*c_1001_4 - c_0011_10 - c_0101_10 - c_0101_11, c_0011_6*c_1001_4^2 + 2*c_0011_3*c_0101_8 - c_0011_6*c_0101_8 - c_0101_2*c_0101_8 - 2*c_0011_6*c_1001_4 - 3/2*c_0101_2*c_1001_4 + 1/2*c_1001_4^2 + 2*c_0011_3 + c_0011_6 - c_0011_8 + 1/2*c_0101_10 + c_0101_11 - c_0101_2 - c_1001_4 - 9/2, c_0101_10*c_1001_4^2 + c_0101_10^2 + 4*c_0011_8*c_0101_7 + c_0101_2*c_0101_7 + 2*c_0011_6*c_0101_8 + 2*c_0011_8*c_0101_8 + c_0101_11*c_0101_8 - 2*c_0101_2*c_0101_8 - c_0101_7*c_0101_8 - 3*c_0011_10*c_1001_4 - 7*c_0101_10*c_1001_4 - 4*c_0101_11*c_1001_4 - 7*c_0101_7*c_1001_4 + 3*c_0011_10 - 4*c_0011_8 + 2*c_0101_2 - c_0101_7 + 2*c_1001_4, c_0101_11*c_1001_4^2 + c_0101_11^2 + c_0011_10*c_0101_7 - c_0011_8*c_0101_7 + c_0101_10*c_0101_7 - c_0011_6*c_0101_8 - c_0011_8*c_0101_8 + c_0101_2*c_0101_8 + 3*c_0101_10*c_1001_4 + 4*c_0101_7*c_1001_4 + 2*c_0011_8 + c_0101_11 - c_0101_2 - c_1001_4, c_0101_2*c_1001_4^2 - c_0101_2*c_0101_7 - c_0011_6 - c_0011_8 + c_0101_11 + c_0101_2 + 3*c_1001_4, c_0101_7*c_1001_4^2 - 4*c_0011_8*c_0101_7 + c_0101_10*c_0101_7 + c_0101_2*c_0101_7 - 2*c_0011_6*c_0101_8 - 2*c_0011_8*c_0101_8 - 3*c_0101_11*c_0101_8 + 2*c_0101_2*c_0101_8 - c_0101_7*c_0101_8 + 5*c_0011_10*c_1001_4 + 5*c_0101_10*c_1001_4 + 5*c_0101_11*c_1001_4 + 5*c_0101_7*c_1001_4 - 5*c_0011_10 + 4*c_0011_8 - 5*c_0101_10 - 4*c_0101_11 - 2*c_0101_2 - 2*c_1001_4, c_1001_4^3 - 3*c_0101_2*c_0101_7 + 4*c_0011_8*c_0101_8 + 4*c_0101_10*c_0101_8 + 4*c_0101_2*c_0101_8 - 2*c_0101_8^2 + 2*c_0011_6*c_1001_4 + c_0101_10*c_1001_4 - 4*c_0101_11*c_1001_4 - 4*c_0101_2*c_1001_4 - 4*c_1001_4^2 + 6*c_0011_3 - 3*c_0011_6 - 3*c_0011_8 - 6*c_0101_10 + 7*c_0101_11 - 3*c_0101_2 - 2*c_0101_7 + 8*c_0101_8 + 2*c_1001_4 - 12, c_0011_10^2 + c_0011_10*c_0101_11 - c_0101_11^2 + c_0101_11*c_0101_7, c_0011_10*c_0011_3 - c_0101_2*c_0101_7 + c_0011_6*c_0101_8 + c_0011_8*c_0101_8 - c_0101_2*c_0101_8 - c_0011_10 - 2*c_0011_8 + c_0101_10 + 2*c_0101_11 + c_0101_2 + c_1001_4, c_0011_3^2 + c_0011_6*c_1001_4 - 3*c_0011_3 - c_0101_8 + 3, c_0011_10*c_0011_6 + c_0011_6*c_0101_8 + c_0011_8*c_0101_8 - c_0101_2*c_0101_8 - c_0011_10 - 2*c_0011_8 + c_0101_2 + c_1001_4, c_0011_3*c_0011_6 - 2*c_0011_3*c_0101_8 + c_0011_6*c_0101_8 + 2*c_0101_2*c_0101_8 + 2*c_0011_6*c_1001_4 + 3/2*c_0101_2*c_1001_4 - 1/2*c_1001_4^2 - 2*c_0011_3 - 4*c_0011_6 - c_0011_8 - 1/2*c_0101_10 + 3*c_1001_4 + 9/2, c_0011_6^2 - c_0101_2*c_0101_7 - 2*c_0011_3*c_0101_8 + c_0011_6*c_0101_8 + c_0011_8*c_0101_8 + 3*c_0101_2*c_0101_8 - c_0101_8^2 + c_0011_6*c_1001_4 + c_0101_2*c_1001_4 - c_1001_4^2 - c_0011_10 - 2*c_0011_3 - 4*c_0011_6 - 2*c_0011_8 + c_0101_11 + c_0101_7 + 2*c_0101_8 + 4*c_1001_4 + 4, c_0011_10*c_0011_8 - c_0101_11*c_0101_8 + c_0101_11*c_1001_4 - c_0101_7*c_1001_4 - c_0011_10 - c_0101_10 - c_0101_11, c_0011_3*c_0011_8 - c_0101_2*c_0101_8 - 2*c_0011_8 + c_0101_2 + c_1001_4, c_0011_6*c_0011_8 - c_0011_3*c_0101_8 + 1, c_0011_8^2 + c_0011_3*c_0101_8 + c_0101_10*c_0101_8 - c_0101_11*c_1001_4 - 4*c_0101_2*c_1001_4 - c_1001_4^2 + 3*c_0011_3 - 4*c_0101_10 - 3*c_0101_7 + c_0101_8 - 5, c_0011_10*c_0101_10 - c_0011_10*c_0101_11 - c_0101_11*c_0101_7, c_0011_3*c_0101_10 + c_0101_7, c_0011_6*c_0101_10 - c_0101_11, c_0011_8*c_0101_10 + c_0101_7*c_1001_4 + c_0101_11, c_0011_3*c_0101_11 + c_0011_6*c_0101_8 + c_0011_8*c_0101_8 - c_0101_2*c_0101_8 - 2*c_0011_8 + c_0101_2 + c_1001_4, c_0011_6*c_0101_11 - c_0101_2*c_0101_7 + c_0011_6*c_0101_8 + c_0011_8*c_0101_8 - c_0101_2*c_0101_8 - c_0011_10 - 2*c_0011_8 + c_0101_10 + c_0101_11 + c_0101_2 + c_0101_7 + c_1001_4, c_0011_8*c_0101_11 + c_0101_7*c_0101_8 + c_0101_10, c_0101_10*c_0101_11 - c_0101_11^2 - c_0011_10*c_0101_7 - c_0101_10*c_0101_7, c_0011_10*c_0101_2 - c_0101_2*c_0101_7 + c_0011_6*c_0101_8 + c_0011_8*c_0101_8 + c_0101_10*c_0101_8 - c_0101_2*c_0101_8 - c_0101_11*c_1001_4 + c_0011_10 - 2*c_0011_8 - c_0101_10 + 3*c_0101_11 + c_0101_2 - c_0101_7 + c_1001_4, c_0011_3*c_0101_2 + c_0011_6 - c_0101_2, c_0011_6*c_0101_2 + c_0011_6*c_1001_4 - c_0011_3 - c_0101_8 + 2, c_0011_8*c_0101_2 - c_0101_2*c_1001_4 + c_0011_3 + c_0101_8 - 2, c_0101_10*c_0101_2 + c_0101_2*c_0101_7 - c_0101_11, c_0101_11*c_0101_2 - c_0101_10*c_0101_8 + c_0101_11*c_1001_4 + 2*c_0101_10 + c_0101_7, c_0101_2^2 + c_0011_3 - 1, c_0011_3*c_0101_7 + c_0101_10*c_0101_8 - c_0101_11*c_1001_4 - 3*c_0101_10 - 3*c_0101_7, c_0011_6*c_0101_7 - c_0011_6*c_0101_8 - c_0011_8*c_0101_8 + c_0101_2*c_0101_8 + 2*c_0011_8 - c_0101_2 - c_1001_4, c_0011_10*c_0101_8 + c_0101_7*c_0101_8 - c_0011_10*c_1001_4 + c_0101_10 + c_0101_11, c_0011_3*c_1001_4 - c_0011_6 - c_0011_8, c_0011_8*c_1001_4 - 2*c_0101_2*c_1001_4 - c_1001_4^2 + c_0011_3 - c_0101_10 - c_0101_7 - 1, c_0101_8*c_1001_4 - c_0011_8 + c_0101_11, c_0011_0 - 1, c_0011_5 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0101_7" ] ] 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: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 12 )... Time: 0.020 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: 0.020 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: 0.020 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: 0.010 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: 0.210 ==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_3, c_0011_5, c_0011_6, c_0011_8, c_0101_10, c_0101_11, c_0101_2, c_0101_7, c_0101_8, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 1526110166054774773/1756120613295675353*c_1001_4^13 - 8403406091689405808/1756120613295675353*c_1001_4^12 + 10812762978184792959/3512241226591350706*c_1001_4^11 + 80337505766549047939/3512241226591350706*c_1001_4^10 - 97677646834095698957/1756120613295675353*c_1001_4^9 - 28015287359560580813/3512241226591350706*c_1001_4^8 + 544439602784254206433/3512241226591350706*c_1001_4^7 - 416177376167292809457/3512241226591350706*c_1001_4^6 - 79350072153656754862/1756120613295675353*c_1001_4^5 + 17557061930454443842/1756120613295675353*c_1001_4^4 + 6020305072377427049/1756120613295675353*c_1001_4^3 - 19592058740199945091/3512241226591350706*c_1001_4^2 - 10320727979492483407/3512241226591350706*c_1001_4 - 289954155067461933/3512241226591350706, c_0011_3 - 2862003248899955897/924274006997723870*c_1001_4^13 + 3395042426529773921/184854801399544774*c_1001_4^12 - 16788835661308972043/924274006997723870*c_1001_4^11 - 35661465114811977649/462137003498861935*c_1001_4^10 + 21565220598917225201/92427400699772387*c_1001_4^9 - 25349489749249872512/462137003498861935*c_1001_4^8 - 525769382892719224759/924274006997723870*c_1001_4^7 + 610716152919613692031/924274006997723870*c_1001_4^6 - 10378586642341145303/924274006997723870*c_1001_4^5 - 111249179985956933607/924274006997723870*c_1001_4^4 + 12999944266411479013/924274006997723870*c_1001_4^3 + 21600826081175957219/924274006997723870*c_1001_4^2 - 41263663286556450/92427400699772387*c_1001_4 - 1804694890902956767/924274006997723870, c_0011_5 - 1, c_0011_6 - 641000490003140300/1756120613295675353*c_1001_4^13 + 6468955818335411863/3512241226591350706*c_1001_4^12 - 911275954200752979/3512241226591350706*c_1001_4^11 - 37817816438190968247/3512241226591350706*c_1001_4^10 + 33637744181505189636/1756120613295675353*c_1001_4^9 + 29913446623544889149/1756120613295675353*c_1001_4^8 - 244646221669346662703/3512241226591350706*c_1001_4^7 + 59999223684205916171/3512241226591350706*c_1001_4^6 + 212465694147316287803/3512241226591350706*c_1001_4^5 - 18276485669553737829/3512241226591350706*c_1001_4^4 - 19152733722762741726/1756120613295675353*c_1001_4^3 + 5582691868370844585/3512241226591350706*c_1001_4^2 - 4114854464913249167/3512241226591350706*c_1001_4 - 831574403869863003/3512241226591350706, c_0011_8 + 2670665045764953237/17561206132956753530*c_1001_4^13 - 2046781162076011427/3512241226591350706*c_1001_4^12 - 15845052150326499257/17561206132956753530*c_1001_4^11 + 44741661265105243144/8780603066478376765*c_1001_4^10 - 5390609267445715774/1756120613295675353*c_1001_4^9 - 163840262228792921108/8780603066478376765*c_1001_4^8 + 234093810421155589802/8780603066478376765*c_1001_4^7 + 225977542777564288842/8780603066478376765*c_1001_4^6 - 421374848137845021306/8780603066478376765*c_1001_4^5 - 77982323154748250454/8780603066478376765*c_1001_4^4 + 68049335793360649817/17561206132956753530*c_1001_4^3 + 23567966519990046531/17561206132956753530*c_1001_4^2 + 1594583034055506474/1756120613295675353*c_1001_4 - 392794068920758949/8780603066478376765, c_0101_10 - 956112876282267396/462137003498861935*c_1001_4^13 + 2312540391319372203/184854801399544774*c_1001_4^12 - 12665756092667132743/924274006997723870*c_1001_4^11 - 45553300531474979903/924274006997723870*c_1001_4^10 + 14885428774358504987/92427400699772387*c_1001_4^9 - 53931431438393158329/924274006997723870*c_1001_4^8 - 337492482402493772129/924274006997723870*c_1001_4^7 + 446853335227581835721/924274006997723870*c_1001_4^6 - 78109470513841615393/924274006997723870*c_1001_4^5 - 23727751819322429416/462137003498861935*c_1001_4^4 + 8035803950392172639/462137003498861935*c_1001_4^3 + 12586117564886239899/924274006997723870*c_1001_4^2 - 183613688025771908/92427400699772387*c_1001_4 + 270919092461577709/462137003498861935, c_0101_11 - 1046209909331319777/8780603066478376765*c_1001_4^13 + 2175303517214819233/3512241226591350706*c_1001_4^12 - 2111011393438544001/17561206132956753530*c_1001_4^11 - 66796326455691546041/17561206132956753530*c_1001_4^10 + 24378909964846884649/3512241226591350706*c_1001_4^9 + 108112687010553715457/17561206132956753530*c_1001_4^8 - 237182985443275833059/8780603066478376765*c_1001_4^7 + 68414651814409991931/8780603066478376765*c_1001_4^6 + 516514430745239818499/17561206132956753530*c_1001_4^5 - 187353118314639851019/17561206132956753530*c_1001_4^4 - 82125118903914313302/8780603066478376765*c_1001_4^3 + 16197205033011363014/8780603066478376765*c_1001_4^2 + 9864436056425123931/3512241226591350706*c_1001_4 - 4386383431456135699/17561206132956753530, c_0101_2 - 25352053219210978942/8780603066478376765*c_1001_4^13 + 29809679464745007795/1756120613295675353*c_1001_4^12 - 282932887432669711721/17561206132956753530*c_1001_4^11 - 1271759278232646531631/17561206132956753530*c_1001_4^10 + 748946797545116047205/3512241226591350706*c_1001_4^9 - 360718138459162591054/8780603066478376765*c_1001_4^8 - 9267876942243351122213/17561206132956753530*c_1001_4^7 + 10264492206598703057607/17561206132956753530*c_1001_4^6 + 226997167157325665959/17561206132956753530*c_1001_4^5 - 1667503943624193155979/17561206132956753530*c_1001_4^4 - 49464724331826581352/8780603066478376765*c_1001_4^3 + 246767926085857257159/8780603066478376765*c_1001_4^2 + 9124590418562495389/3512241226591350706*c_1001_4 - 7627345121521581902/8780603066478376765, c_0101_7 - 1, c_0101_8 + 39608748229760795811/17561206132956753530*c_1001_4^13 - 46577880902827436415/3512241226591350706*c_1001_4^12 + 227344451862954474969/17561206132956753530*c_1001_4^11 + 479240344259529425507/8780603066478376765*c_1001_4^10 - 290079555529290848072/1756120613295675353*c_1001_4^9 + 731599771492192104867/17561206132956753530*c_1001_4^8 + 179468665925403034509/462137003498861935*c_1001_4^7 - 4029717321153840828389/8780603066478376765*c_1001_4^6 + 503239239150157605807/8780603066478376765*c_1001_4^5 + 340311251565169740961/17561206132956753530*c_1001_4^4 - 328691057356318429989/17561206132956753530*c_1001_4^3 - 156586318109189446087/17561206132956753530*c_1001_4^2 + 6876619995468546823/3512241226591350706*c_1001_4 - 11771578179882848109/17561206132956753530, c_1001_4^14 - 6*c_1001_4^13 + 69/11*c_1001_4^12 + 270/11*c_1001_4^11 - 849/11*c_1001_4^10 + 252/11*c_1001_4^9 + 2015/11*c_1001_4^8 - 2500/11*c_1001_4^7 + 192/11*c_1001_4^6 + 472/11*c_1001_4^5 - 100/11*c_1001_4^4 - 108/11*c_1001_4^3 + 12/11*c_1001_4^2 + 6/11*c_1001_4 - 1/11 ] ==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: 4.179 seconds, Total memory usage: 32.09MB