Magma V2.22-2 Sun Aug 9 2020 22:19:46 on zickert [Seed = 3333228418] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L12n1937__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1937 degenerate_solution 8.99735194 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 2 2 1 0 -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 -1 1 0 2 0 -3 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 -7010204288264547.000000000000 2760191238477680.000000000000 0 5 7 6 0132 0132 0132 0132 2 2 1 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 0 0 0 0 0 0 0 -2 0 0 2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000000000 1.000000000000 6 0 3 8 0321 0132 3201 0132 1 1 1 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -2 1 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375000000000 0.330718913883 2 9 10 0 2310 0132 0132 0132 1 2 1 1 0 1 0 -1 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 1 0 -1 -1 0 -2 3 1 -1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375000000000 0.330718913883 5 10 0 7 3012 2031 0132 3120 1 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 0 0 0 1 0 -1 0 0 -1 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000000 1.000000000000 6 1 7 4 3012 0132 0213 1230 2 2 2 1 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 1 -1 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 2 10 1 5 0321 3120 0132 1230 2 2 1 1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -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 1.000000000000 0.000000000000 4 5 10 1 3120 0213 3120 0132 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0.000000000000 1.000000000000 9 11 2 11 3012 0132 0132 1230 1 1 0 1 0 0 0 0 -1 0 0 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 0 -1 1 -1 0 -1 2 1 2 0 -3 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 12 3 12 8 0132 0132 3120 1230 1 0 1 1 0 -1 0 1 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 0 1 0 0 1 -1 0 2 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 4 6 7 3 1302 3120 3120 0132 1 2 1 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 0 0 0 0 0 0 0 -2 0 0 2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000000 0.000000000000 8 8 12 12 3012 0132 2031 0321 1 1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -2 2 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250000000000 0.661437827766 9 11 9 11 0132 0321 3120 1302 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 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 ==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_0110_6' : d['c_0011_0'], 'c_0101_2' : - d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_1100_5' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_1'], 'c_1001_1' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_7' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1001_9' : d['c_1001_0'], 'c_1010_11' : d['c_1001_0'], 'c_1001_12' : - d['c_1001_0'], 'c_1100_11' : - d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_0' : - d['c_0101_3'], 'c_1001_2' : - d['c_0101_3'], 'c_1001_4' : - d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_1100_0' : - d['c_0101_7'], 'c_1100_3' : - d['c_0101_7'], 'c_1100_4' : - d['c_0101_7'], 'c_1100_10' : - d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_1010_1' : - d['c_1001_10'], 'c_1001_5' : - d['c_1001_10'], 'c_1001_6' : - d['c_1001_10'], 'c_1001_7' : - d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_0011_4' : d['c_0011_4'], 'c_0110_5' : d['c_0011_4'], 'c_0101_10' : - d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_0110_2' : - d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_0101_8' : - d['c_0011_6'], 'c_1001_3' : - d['c_0011_6'], 'c_1010_9' : - d['c_0011_6'], 'c_1010_10' : - d['c_0011_6'], 'c_1100_2' : - d['c_0011_12'], 'c_0011_3' : d['c_0011_12'], 'c_1100_8' : - d['c_0011_12'], 'c_0011_9' : - d['c_0011_12'], 'c_0110_11' : - d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_0101_5' : - d['c_0011_10'], 'c_1010_6' : - d['c_0011_10'], 'c_1010_4' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_7' : - d['c_0011_10'], 'c_0110_8' : d['c_0011_11'], 'c_1100_9' : d['c_0011_11'], 'c_0011_8' : - d['c_0011_11'], 'c_0110_9' : - d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_12' : - d['c_0011_11'], 'c_1010_8' : d['c_0101_11'], 'c_1001_11' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_9' : - d['c_0101_11'], 'c_0110_12' : - d['c_0101_11'], 'c_1100_12' : d['c_0101_11'], 's_3_11' : d['1'], 's_2_11' : d['1'], 's_2_9' : d['1'], 's_0_9' : d['1'], 's_3_8' : d['1'], 's_1_8' : d['1'], 's_0_8' : d['1'], 's_2_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_2_3' : d['1'], 's_1_3' : d['1'], 's_3_2' : 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_7' : - d['1'], 's_2_6' : - d['1'], 's_0_6' : d['1'], 's_0_3' : d['1'], 's_2_8' : d['1'], 's_1_9' : d['1'], 's_3_10' : d['1'], 's_3_5' : d['1'], 's_0_10' : d['1'], 's_0_7' : d['1'], 's_3_6' : - d['1'], 's_1_7' : - d['1'], 's_1_10' : d['1'], 's_2_10' : d['1'], 's_3_9' : d['1'], 's_1_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_2_12' : d['1'], 's_3_12' : d['1'], 's_1_12' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.050 Status: Saturating ideal ( 1 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.020 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: 0.020 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 5 / 13 )... Time: 0.020 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: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.020 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: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 12 ] Status: Computing RadicalDecomposition Time: 0.090 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.660 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_11, c_0011_12, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_7, c_1001_0, c_1001_10 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_6^4 + 5*c_0011_6^3*c_1001_0 + 3*c_0011_12*c_0011_6*c_1001_0^2 + 10*c_0011_6^2*c_1001_0^2 + 7*c_0011_12*c_1001_0^3 + 9*c_0011_6*c_1001_0^3 + 10*c_1001_0^4, c_0101_7*c_1001_0^3 - c_0011_6^3*c_1001_10 - 4*c_0011_12*c_0011_6*c_1001_0*c_1001_10 - c_0011_6^2*c_1001_0*c_1001_10 - 4*c_0011_12*c_1001_0^2*c_1001_10 - 2*c_0011_6*c_1001_0^2*c_1001_10 - 7*c_1001_0^3*c_1001_10 - c_0011_12*c_0011_6*c_1001_0 - 2*c_0011_12*c_1001_0^2 - 2*c_1001_0^3, c_0011_12*c_0011_6^2 - c_0011_6^3 - 2*c_0011_6^2*c_1001_0 - 2*c_0011_12*c_1001_0^2 - c_0011_6*c_1001_0^2 - 3*c_1001_0^3, c_0101_11*c_0101_7^2 - c_0101_7^2 - 2*c_0011_10*c_1001_10 - 3*c_0101_3*c_1001_10 + 5*c_0101_7*c_1001_10 - 11/2*c_1001_10^2 - 5/2*c_0011_10 + c_0011_12 - 5/2*c_0011_6 + c_0101_11 - 2*c_0101_3 - c_0101_7 + c_1001_0 - 3*c_1001_10 - 1, c_0101_3*c_0101_7^2 - 2*c_0101_11*c_0101_7 - 4*c_0101_3*c_0101_7 + 5*c_0101_7^2 + 2*c_0101_3*c_1001_0 - 4*c_0101_7*c_1001_0 + c_0011_12*c_1001_10 + c_0101_11*c_1001_10 + 6*c_0101_3*c_1001_10 - 7*c_0101_7*c_1001_10 + 5*c_1001_0*c_1001_10 + 7/2*c_1001_10^2 + 3/2*c_0011_10 + 1/2*c_0011_6 - 2*c_0101_0 - c_0101_11 + 3*c_0101_3 - 4*c_0101_7 + 3*c_1001_0 + 5*c_1001_10 + 3, c_0101_7^3 - c_0101_11*c_0101_7 - 5*c_0101_3*c_0101_7 + c_0101_7^2 + 6*c_0011_10*c_1001_0 + c_0101_3*c_1001_0 - 10*c_0011_10*c_1001_10 + 3*c_0011_12*c_1001_10 - 4*c_0011_6*c_1001_10 + 3*c_0101_11*c_1001_10 + c_0101_7*c_1001_10 - 4*c_1001_10^2 - 3*c_0011_10 - c_0011_6 - 3*c_0101_0 + c_0101_11 + 2*c_0101_3 - 7*c_0101_7 + c_1001_0 + 3*c_1001_10 + 3, c_0101_3*c_0101_7*c_1001_0 + c_0011_10*c_1001_0*c_1001_10 - 2*c_0011_12*c_0011_6 + c_0011_6^2 + 2*c_0101_11*c_0101_7 + 2*c_0101_3*c_0101_7 - 2*c_0101_7^2 + 2*c_0011_10*c_1001_0 - 2*c_0011_12*c_1001_0 + c_0011_6*c_1001_0 - 3*c_0101_3*c_1001_0 + 3*c_0101_7*c_1001_0 - 4*c_1001_0^2 - c_0011_10*c_1001_10 - 2*c_0011_12*c_1001_10 + c_0011_6*c_1001_10 - 2*c_0101_3*c_1001_10 + 5*c_0101_7*c_1001_10 - c_1001_0*c_1001_10 - 3*c_1001_10^2 - c_0011_10 - c_0011_12 + c_0011_6 + 2*c_0101_0 - 3*c_0101_3 + c_0101_7 - 2*c_1001_0 - 2*c_1001_10 - 2, c_0101_7^2*c_1001_0 - 3*c_0011_12*c_0011_6 - 4*c_0011_10*c_1001_0 - 4*c_0011_12*c_1001_0 - 3*c_0011_6*c_1001_0 - c_0101_3*c_1001_0 - 2*c_0101_7*c_1001_0 - 6*c_1001_0^2 - 2*c_0011_10*c_1001_10 - 2*c_0011_12*c_1001_10 + 3*c_0011_6*c_1001_10 + 4*c_0101_7*c_1001_10 + 5*c_1001_0*c_1001_10 - 4*c_1001_10^2 - 4*c_0011_10 + c_0011_12 - 2*c_0011_6 - 4*c_0101_3 - 2*c_0101_7 + 4*c_1001_0, c_0011_10*c_1001_0^2 + c_0011_12*c_0011_6*c_1001_10 + 2*c_0011_12*c_1001_0*c_1001_10 + 2*c_1001_0^2*c_1001_10 - c_1001_0^2, c_0101_3*c_1001_0^2 - 2*c_0101_7*c_1001_0^2 + c_0011_12*c_0011_6*c_1001_10 - c_0011_6^2*c_1001_10 + c_0011_10*c_1001_0*c_1001_10 + 2*c_0011_12*c_1001_0*c_1001_10 - 2*c_0011_6*c_1001_0*c_1001_10 + 3*c_1001_0^2*c_1001_10 + c_0011_6^2 + 2*c_0011_12*c_1001_0 + c_0011_6*c_1001_0 + c_0101_7*c_1001_0 + 2*c_1001_0^2, c_0101_11*c_0101_7*c_1001_10 - 2*c_0101_7^2 - c_0011_10*c_1001_10 - 2*c_0101_3*c_1001_10 + 7*c_0101_7*c_1001_10 - 6*c_1001_10^2 - 3*c_0011_10 + c_0011_12 - 2*c_0011_6 + c_0101_11 - 2*c_0101_3 + c_1001_0 - 3*c_1001_10 - 1, c_0101_3*c_0101_7*c_1001_10 - c_0101_3*c_0101_7 + 3*c_0101_7^2 - c_0101_7*c_1001_0 + c_0011_10*c_1001_10 + c_0101_3*c_1001_10 - 6*c_0101_7*c_1001_10 + 4*c_1001_10^2 + 4*c_0011_10 + c_0011_6 - c_0101_11 + 2*c_0101_3 - c_0101_7 + 2*c_1001_10, c_0101_7^2*c_1001_10 - 3*c_0101_3*c_0101_7 + 2*c_0101_7^2 + 3*c_0011_10*c_1001_0 - 7*c_0011_10*c_1001_10 + 2*c_0011_12*c_1001_10 - 3*c_0011_6*c_1001_10 + 2*c_0101_11*c_1001_10 - 4*c_0101_7*c_1001_10 - 2*c_0101_0 + 2*c_0101_3 - 5*c_0101_7 + 4*c_1001_10 + 2, c_0101_3*c_1001_0*c_1001_10 + c_0101_11*c_0101_7 + c_0101_3*c_0101_7 - c_0101_7^2 - 2*c_0101_3*c_1001_0 + 3*c_0101_7*c_1001_0 - c_1001_0^2 + c_0011_10*c_1001_10 - c_0011_12*c_1001_10 - c_0101_3*c_1001_10 - c_0101_7*c_1001_10 - 4*c_1001_0*c_1001_10 + 2*c_1001_10^2 + 3*c_0011_10 - c_0011_12 + 2*c_0011_6 + c_0101_0 + 2*c_0101_3 + 2*c_0101_7 - 2*c_1001_0 - c_1001_10 - 1, c_0101_7*c_1001_0*c_1001_10 - c_0011_12*c_0011_6 - 4*c_0011_10*c_1001_0 - c_0011_12*c_1001_0 - 2*c_0011_6*c_1001_0 - c_0101_3*c_1001_0 - 2*c_1001_0^2 - 2*c_0011_12*c_1001_10 + 2*c_0011_6*c_1001_10 + 2*c_1001_0, c_0011_10*c_1001_10^2 - c_0101_11*c_0101_7 - c_0101_3*c_0101_7 + c_0101_7^2 + c_0011_10*c_1001_0 + c_0101_3*c_1001_0 - c_0101_7*c_1001_0 + 2*c_0011_12*c_1001_10 - c_0011_6*c_1001_10 + c_0101_3*c_1001_10 - c_0101_7*c_1001_10 + c_1001_0*c_1001_10 + c_1001_10^2 - c_0101_0 + c_0101_3 - c_0101_7 + c_1001_10 + 1, c_0011_12*c_1001_10^2 - c_0011_12*c_0011_6 - 3*c_0101_11*c_0101_7 - 3*c_0101_3*c_0101_7 + 3*c_0101_7^2 + c_0011_10*c_1001_0 + 3*c_0101_3*c_1001_0 - 6*c_0101_7*c_1001_0 + 6*c_0011_12*c_1001_10 - 5*c_0011_6*c_1001_10 + 3*c_0101_3*c_1001_10 - 3*c_0101_7*c_1001_10 + 7*c_1001_0*c_1001_10 - 3*c_0011_10 + 2*c_0011_12 - 3*c_0011_6 - 3*c_0101_0 - 3*c_0101_7 + 2*c_1001_0 + 3*c_1001_10 + 3, c_0011_6*c_1001_10^2 - c_0011_6^2 - 5*c_0101_11*c_0101_7 - 5*c_0101_3*c_0101_7 + 5*c_0101_7^2 + 3*c_0011_10*c_1001_0 + 5*c_0101_3*c_1001_0 - 7*c_0101_7*c_1001_0 + 10*c_0011_12*c_1001_10 - 7*c_0011_6*c_1001_10 + 5*c_0101_3*c_1001_10 - 8*c_0101_7*c_1001_10 + 9*c_1001_0*c_1001_10 + 3*c_1001_10^2 - 2*c_0011_10 + 2*c_0011_12 - 3*c_0011_6 - 5*c_0101_0 + 3*c_0101_3 - 5*c_0101_7 + 2*c_1001_0 + 5*c_1001_10 + 5, c_0101_11*c_1001_10^2 - 2*c_0101_7^2 - 2*c_0101_3*c_1001_10 + 6*c_0101_7*c_1001_10 - 9/2*c_1001_10^2 - 5/2*c_0011_10 + c_0011_12 - 3/2*c_0011_6 + c_0101_11 - 2*c_0101_3 + c_1001_0 - 3*c_1001_10 - 1, c_0101_3*c_1001_10^2 + c_0101_7^2 - c_0101_7*c_1001_10 - c_1001_0*c_1001_10 + c_1001_10^2 + c_0011_10 + c_0101_3, c_0101_7*c_1001_10^2 - 2*c_0101_3*c_0101_7 + 2*c_0101_7^2 + c_0011_10*c_1001_0 - 6*c_0011_10*c_1001_10 + c_0011_12*c_1001_10 - 2*c_0011_6*c_1001_10 + 2*c_0101_11*c_1001_10 + c_0101_3*c_1001_10 - 4*c_0101_7*c_1001_10 - 2*c_0101_0 + 2*c_0101_3 - 4*c_0101_7 + c_1001_0 + 4*c_1001_10 + 2, c_1001_0*c_1001_10^2 - 3*c_0011_10*c_1001_0 - c_0011_6*c_1001_0 - 2*c_0011_12*c_1001_10 + 2*c_0011_6*c_1001_10 + 2*c_1001_0, c_1001_10^3 - 2*c_0101_3*c_0101_7 + 2*c_0101_7^2 - 5*c_0011_10*c_1001_10 - c_0011_6*c_1001_10 + 2*c_0101_11*c_1001_10 + 2*c_0101_3*c_1001_10 - 4*c_0101_7*c_1001_10 - 2*c_0101_0 + 2*c_0101_3 - 4*c_0101_7 + 2*c_1001_0 + 4*c_1001_10 + 2, c_0011_10^2 + c_0101_7*c_1001_10 - c_1001_10^2 - c_0011_10, c_0011_10*c_0011_12 - c_0101_11*c_0101_7 - c_0101_3*c_0101_7 + c_0101_7^2 + c_0011_10*c_1001_0 + c_0101_3*c_1001_0 - 2*c_0101_7*c_1001_0 + 2*c_0011_12*c_1001_10 - c_0011_6*c_1001_10 + c_0101_3*c_1001_10 - c_0101_7*c_1001_10 + 3*c_1001_0*c_1001_10 - c_0011_10 - c_0011_6 - c_0101_0 - c_0101_7 + c_1001_10 + 1, c_0011_12^2 + 2*c_0011_12*c_1001_0 - c_0011_6*c_1001_0 + c_1001_0^2, c_0011_10*c_0011_6 - c_0101_11*c_0101_7 - c_0101_3*c_0101_7 + c_0101_7^2 + c_0011_10*c_1001_0 + c_0101_3*c_1001_0 - c_0101_7*c_1001_0 + 2*c_0011_12*c_1001_10 - c_0011_6*c_1001_10 + c_0101_3*c_1001_10 - 2*c_0101_7*c_1001_10 + c_1001_0*c_1001_10 + c_1001_10^2 - c_0011_6 - c_0101_0 + c_0101_3 - c_0101_7 + c_1001_10 + 1, c_0011_10*c_0101_0 + c_0011_10*c_1001_10 + c_0101_7 - c_1001_10, c_0011_12*c_0101_0 - c_0101_11*c_0101_7 - c_0101_3*c_0101_7 + c_0101_7^2 - c_0011_10*c_1001_10 + c_0011_12*c_1001_10 + c_0101_3*c_1001_10 - 3*c_0101_7*c_1001_10 + 2*c_1001_10^2 + c_0011_10 - c_0011_12 + c_0011_6 - c_0101_0 + 2*c_0101_3 - 2*c_0101_7 + c_1001_0 + c_1001_10 + 1, c_0011_6*c_0101_0 - c_0011_10*c_1001_10 + c_0011_6*c_1001_10 - c_0101_7, c_0101_0^2 - c_0101_7^2 - c_0101_3*c_1001_10 + 3*c_0101_7*c_1001_10 - 5/2*c_1001_10^2 - 3/2*c_0011_10 + c_0011_12 - 3/2*c_0011_6 - c_0101_0 + c_0101_11 - c_0101_7 + c_1001_0 - 2*c_1001_10, c_0011_10*c_0101_11 - 1/2*c_1001_10^2 + 3/2*c_0011_10 + 1/2*c_0011_6 - c_0101_11 + c_1001_10 - 1, c_0011_12*c_0101_11 + c_0011_10*c_1001_10 - c_0101_7*c_1001_10 + c_1001_10^2 + c_0011_10 + c_0101_3 + c_0101_7 - 2*c_1001_0, c_0011_6*c_0101_11 - c_0011_12 - c_1001_0, c_0101_0*c_0101_11 + c_0101_11*c_0101_7 - c_0011_10 + c_0101_0 + c_0101_7 - c_1001_10 + 1, c_0101_11^2 + c_0101_7^2 - c_0101_11*c_1001_10 - 3*c_0101_7*c_1001_10 + 3/2*c_1001_10^2 + 7/2*c_0011_10 - c_0011_12 + 3/2*c_0011_6 - c_0101_0 - c_0101_11 + c_0101_3 - c_0101_7 + 2*c_1001_10 - 1, c_0011_10*c_0101_3 + c_0101_7^2 - 2*c_0101_7*c_1001_10 + c_1001_10^2 + c_0011_10, c_0011_12*c_0101_3 - c_0101_11*c_0101_7 - c_0101_3*c_0101_7 + c_0101_7^2 + 2*c_0101_3*c_1001_0 - c_0101_7*c_1001_0 - c_0011_10*c_1001_10 + c_0011_12*c_1001_10 + c_0101_3*c_1001_10 - c_0101_7*c_1001_10 + 2*c_1001_0*c_1001_10 - c_0011_10 + c_0011_12 - c_0011_6 - c_0101_0 - 2*c_0101_7 + 2*c_1001_0 + c_1001_10 + 1, c_0011_6*c_0101_3 - c_0101_7*c_1001_10 - c_1001_0*c_1001_10 + c_1001_10^2 + c_0011_10 + c_0011_6 + c_0101_3, c_0101_0*c_0101_3 - c_0101_7 + c_1001_0, c_0101_11*c_0101_3 - c_0011_10 + c_0101_11 + c_0101_3 + c_0101_7 - c_1001_10 + 1, c_0101_3^2 - c_0101_3*c_0101_7 + c_0101_7^2 + c_0011_10*c_1001_10 + c_0101_3*c_1001_10 - 4*c_0101_7*c_1001_10 + 3*c_1001_10^2 + 3*c_0011_10 + c_0011_6 - c_0101_11 + 2*c_0101_3 - c_0101_7 + 2*c_1001_10, c_0011_10*c_0101_7 - c_0011_10*c_1001_10 - c_0101_3*c_1001_10 - c_0101_7, c_0011_12*c_0101_7 + c_0101_3*c_1001_0 + c_0011_10*c_1001_10 - c_0011_6*c_1001_10 + c_0101_7, c_0011_6*c_0101_7 + c_0011_10*c_1001_0 + c_0011_10*c_1001_10 + c_0011_12*c_1001_10 - 2*c_0011_6*c_1001_10 + c_0101_7 - c_1001_0, c_0101_0*c_0101_7 + c_0101_7*c_1001_10 - c_0011_10 - c_0101_3, c_0101_0*c_1001_0 + c_0101_7*c_1001_10 + c_1001_0*c_1001_10 - c_1001_10^2 - c_0011_10 + c_0011_12 - c_0011_6 - c_0101_3, c_0101_11*c_1001_0 - c_0011_10*c_1001_10 + c_0101_7*c_1001_10 - c_1001_10^2 - c_0011_10 - c_0101_3 - c_0101_7 + c_1001_0, c_0101_0*c_1001_10 + c_1001_10^2 - c_0011_10 + 1, c_0011_0 - 1, c_0011_11 + 1, c_0011_4 + c_0101_0 + c_1001_10, c_0101_1 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_0" ] ] 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: 0.010 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: 0.020 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: 0.020 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: 0.160 ==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_11, c_0011_12, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_7, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 2400912663/35994444575*c_1001_10^11 + 6160657392/35994444575*c_1001_10^10 - 99233567001/71988889150*c_1001_10^9 + 131133024793/71988889150*c_1001_10^8 - 591047067173/71988889150*c_1001_10^7 + 74311273641/35994444575*c_1001_10^6 - 216079525427/35994444575*c_1001_10^5 - 85420189989/14397777830*c_1001_10^4 - 267116108282/35994444575*c_1001_10^3 + 47509302444/35994444575*c_1001_10^2 + 9287475403/14397777830*c_1001_10 - 4223482163/7198888915, c_0011_11 + 1, c_0011_12 + 13331326219/71988889150*c_1001_10^11 - 74115987607/143977778300*c_1001_10^10 + 143428586547/35994444575*c_1001_10^9 - 870074461099/143977778300*c_1001_10^8 + 903891639821/35994444575*c_1001_10^7 - 1827116807571/143977778300*c_1001_10^6 + 3713040650337/143977778300*c_1001_10^5 + 214385195013/28795555660*c_1001_10^4 + 3548154577127/143977778300*c_1001_10^3 - 1165257758649/143977778300*c_1001_10^2 + 61430797121/28795555660*c_1001_10 - 41427075037/28795555660, c_0011_4 + 2975406752/35994444575*c_1001_10^11 - 6525307593/35994444575*c_1001_10^10 + 59298291152/35994444575*c_1001_10^9 - 120946532647/71988889150*c_1001_10^8 + 701980865767/71988889150*c_1001_10^7 + 31670597797/71988889150*c_1001_10^6 + 333319451383/35994444575*c_1001_10^5 + 54522450743/7198888915*c_1001_10^4 + 1075739621881/71988889150*c_1001_10^3 + 32058974874/35994444575*c_1001_10^2 - 5336291036/7198888915*c_1001_10 - 21189102411/14397777830, c_0011_6 + 18036752997/71988889150*c_1001_10^11 - 24679317814/35994444575*c_1001_10^10 + 192089608286/35994444575*c_1001_10^9 - 565898763551/71988889150*c_1001_10^8 + 1190146591988/35994444575*c_1001_10^7 - 1052292529689/71988889150*c_1001_10^6 + 2197951349833/71988889150*c_1001_10^5 + 21522063899/1439777783*c_1001_10^4 + 2184368979923/71988889150*c_1001_10^3 - 663521429671/71988889150*c_1001_10^2 + 3327661732/7198888915*c_1001_10 - 6432758119/7198888915, c_0101_0 - 2975406752/35994444575*c_1001_10^11 + 6525307593/35994444575*c_1001_10^10 - 59298291152/35994444575*c_1001_10^9 + 120946532647/71988889150*c_1001_10^8 - 701980865767/71988889150*c_1001_10^7 - 31670597797/71988889150*c_1001_10^6 - 333319451383/35994444575*c_1001_10^5 - 54522450743/7198888915*c_1001_10^4 - 1075739621881/71988889150*c_1001_10^3 - 32058974874/35994444575*c_1001_10^2 + 12535179951/7198888915*c_1001_10 + 21189102411/14397777830, c_0101_1 - 1, c_0101_11 - 15192644721/143977778300*c_1001_10^11 + 20263860127/71988889150*c_1001_10^10 - 320154877071/143977778300*c_1001_10^9 + 113045089117/35994444575*c_1001_10^8 - 1958980785693/143977778300*c_1001_10^7 + 719114232977/143977778300*c_1001_10^6 - 1711898694719/143977778300*c_1001_10^5 - 45150770523/5759111132*c_1001_10^4 - 1905686105789/143977778300*c_1001_10^3 + 424026033153/143977778300*c_1001_10^2 - 27945580377/28795555660*c_1001_10 + 6025067126/7198888915, c_0101_3 - 958082332/35994444575*c_1001_10^11 + 2235901201/71988889150*c_1001_10^10 - 33280497389/71988889150*c_1001_10^9 - 873312349/35994444575*c_1001_10^8 - 173097696497/71988889150*c_1001_10^7 - 258311009177/71988889150*c_1001_10^6 - 141835040431/71988889150*c_1001_10^5 - 40145453228/7198888915*c_1001_10^4 - 430228584871/71988889150*c_1001_10^3 - 195537830843/71988889150*c_1001_10^2 + 7621394981/7198888915*c_1001_10 + 16643966341/14397777830, c_0101_7 + 10288158231/143977778300*c_1001_10^11 - 22987974109/143977778300*c_1001_10^10 + 204751399031/143977778300*c_1001_10^9 - 213852731763/143977778300*c_1001_10^8 + 1195498821233/143977778300*c_1001_10^7 + 13401284787/35994444575*c_1001_10^6 + 243993424411/35994444575*c_1001_10^5 + 53181333934/7198888915*c_1001_10^4 + 408756928106/35994444575*c_1001_10^3 + 115188261681/71988889150*c_1001_10^2 - 30654832379/14397777830*c_1001_10 - 40981100069/28795555660, c_1001_0 - 1, c_1001_10^12 - 3*c_1001_10^11 + 22*c_1001_10^10 - 37*c_1001_10^9 + 140*c_1001_10^8 - 94*c_1001_10^7 + 137*c_1001_10^6 + 19*c_1001_10^5 + 109*c_1001_10^4 - 79*c_1001_10^3 + 7*c_1001_10^2 - 10*c_1001_10 + 5 ] ==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: 3.410 seconds, Total memory usage: 32.09MB