Magma V2.22-2 Sun Aug 9 2020 22:19:46 on zickert [Seed = 1413019522] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L12n1937__sl2_c2.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: 0.030 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: 0.030 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: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.020 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: 0.020 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 [ 12 ] Status: Computing RadicalDecomposition Time: 0.090 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.670 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 - 43/5*c_0011_6^3*c_1001_0 + 181/5*c_0011_12*c_0011_6*c_1001_0^2 + 158/5*c_0011_6^2*c_1001_0^2 + 49/5*c_0011_12*c_1001_0^3 + 321/5*c_0011_6*c_1001_0^3 + 86/5*c_1001_0^4, c_0101_7*c_1001_0^3 - 1/5*c_0011_6^3*c_1001_10 + 12/5*c_0011_12*c_0011_6*c_1001_0*c_1001_10 + 11/5*c_0011_6^2*c_1001_0*c_1001_10 - 12/5*c_0011_12*c_1001_0^2*c_1001_10 + 2/5*c_0011_6*c_1001_0^2*c_1001_10 - 23/5*c_1001_0^3*c_1001_10 + c_0011_12*c_0011_6*c_1001_0 + 2*c_0011_12*c_1001_0^2 + 4*c_0011_6*c_1001_0^2 + 2*c_1001_0^3, c_0011_12*c_0011_6^2 + 1/5*c_0011_6^3 + 8/5*c_0011_12*c_0011_6*c_1001_0 + 14/5*c_0011_6^2*c_1001_0 + 2/5*c_0011_12*c_1001_0^2 + 13/5*c_0011_6*c_1001_0^2 + 3/5*c_1001_0^3, c_0101_3*c_0101_7^2 + 2*c_0101_3*c_0101_7 + c_0101_7^2 - c_0101_11*c_1001_0 - 2*c_0101_3*c_1001_0 + 4*c_0101_7*c_1001_0 - c_0011_10*c_1001_10 + c_0011_12*c_1001_10 - c_0101_11*c_1001_10 + 6*c_0101_3*c_1001_10 - 8*c_0101_7*c_1001_10 - c_1001_0*c_1001_10 + 15/2*c_1001_10^2 + 1/2*c_0011_10 - 4*c_0011_12 - 1/2*c_0011_6 - c_0101_11 - 2*c_0101_3 - c_0101_7 - 4*c_1001_0 - 7*c_1001_10 + 3, c_0101_7^3 + 4*c_0101_7^2 - 6*c_0011_10*c_1001_0 - 1/2*c_0101_11*c_1001_0 - c_0101_3*c_1001_0 + 11/2*c_0011_10*c_1001_10 - 3*c_0011_12*c_1001_10 - 4*c_0011_6*c_1001_10 - c_0101_11*c_1001_10 + 3*c_0101_3*c_1001_10 - 5/2*c_0101_7*c_1001_10 - 3/2*c_1001_10^2 - 9/2*c_0011_10 - 4*c_0011_12 - 2*c_0011_6 + 2*c_0101_0 - c_0101_11 - 5/2*c_0101_3 - 3/2*c_0101_7 - 17/2*c_1001_0 + 2*c_1001_10 - 2, 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_0011_10*c_1001_0 + 2*c_0011_12*c_1001_0 - c_0011_6*c_1001_0 + 3*c_0101_11*c_1001_0 + 5*c_0101_3*c_1001_0 - 7*c_0101_7*c_1001_0 + 4*c_1001_0^2 + 2*c_0011_10*c_1001_10 + 6*c_0011_12*c_1001_10 + 3*c_0011_6*c_1001_10 + 13*c_1001_0*c_1001_10 + 3*c_0011_12 + c_0011_6 - 2*c_0101_7 + 3*c_1001_0, 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 + 9*c_0011_6*c_1001_0 + 2*c_0101_11*c_1001_0 + c_0101_3*c_1001_0 + 2*c_0101_7*c_1001_0 + 6*c_1001_0^2 + 6*c_0011_12*c_1001_10 + 3*c_0011_6*c_1001_10 - 2*c_0101_7*c_1001_10 + 5*c_1001_0*c_1001_10 + 2*c_1001_10^2 - 2*c_0011_10 + 3*c_0011_12 + 2*c_0011_6 - 2*c_0101_3 + 6*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 + 4*c_0011_6*c_1001_0*c_1001_10 + 2*c_1001_0^2*c_1001_10 + c_1001_0^2, c_0101_11*c_1001_0^2 - c_0011_10*c_1001_0*c_1001_10 + 7*c_0011_12*c_0011_6 + 2*c_0011_6^2 + 5*c_0011_12*c_1001_0 + 15*c_0011_6*c_1001_0 + c_0101_7*c_1001_0 + 7*c_1001_0^2, c_0101_3*c_1001_0^2 - 2*c_0101_7*c_1001_0^2 + 5*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 + 6*c_0011_12*c_1001_0*c_1001_10 + 14*c_0011_6*c_1001_0*c_1001_10 + 9*c_1001_0^2*c_1001_10 - 4*c_0011_12*c_0011_6 - c_0011_6^2 - 2*c_0011_12*c_1001_0 - 9*c_0011_6*c_1001_0 - c_0101_7*c_1001_0 - 2*c_1001_0^2, c_0101_3*c_0101_7*c_1001_10 + 3*c_0101_3*c_0101_7 - 19/3*c_0101_7^2 + c_0101_7*c_1001_0 + c_0011_10*c_1001_10 + 2/3*c_0101_11*c_1001_10 - 13/3*c_0101_3*c_1001_10 + 12*c_0101_7*c_1001_10 - 7*c_1001_10^2 + 5/3*c_0011_10 + 2/3*c_0011_12 + 2*c_0101_0 - 1/3*c_0101_11 + 16/3*c_0101_3 - 5*c_0101_7 + 8/3*c_1001_0 + 14/3*c_1001_10 - 14/3, c_0101_7^2*c_1001_10 + 3*c_0101_3*c_0101_7 - 22/3*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 + 2/3*c_0101_11*c_1001_10 - 28/3*c_0101_3*c_1001_10 + 24*c_0101_7*c_1001_10 - 18*c_1001_10^2 - 10/3*c_0011_10 - 4/3*c_0011_12 - 2*c_0011_6 + 6*c_0101_0 - 4/3*c_0101_11 + 22/3*c_0101_3 - 9*c_0101_7 - 4/3*c_1001_0 + 44/3*c_1001_10 - 38/3, c_0101_11*c_1001_0*c_1001_10 - 1/2*c_0101_11*c_1001_0 - c_0101_3*c_1001_0 + c_0101_7*c_1001_0 - 1/2*c_0011_10*c_1001_10 + c_0011_12*c_1001_10 + 1/2*c_0101_7*c_1001_10 + 2*c_1001_0*c_1001_10 - 1/2*c_1001_10^2 + 1/2*c_0011_10 - 2*c_0011_12 - c_0011_6 + 1/2*c_0101_3 + 1/2*c_0101_7 - 5/2*c_1001_0, c_0101_3*c_1001_0*c_1001_10 - 1/2*c_0101_11*c_1001_0 + 2*c_0101_3*c_1001_0 - 3*c_0101_7*c_1001_0 + c_1001_0^2 + 1/2*c_0011_10*c_1001_10 - c_0011_12*c_1001_10 + 3/2*c_0101_7*c_1001_10 - 3/2*c_1001_10^2 + 3/2*c_0011_10 - c_0011_12 - c_0011_6 + 3/2*c_0101_3 - 1/2*c_0101_7 - 3/2*c_1001_0, 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 - 3*c_0011_10*c_1001_0 + 1/2*c_0101_11*c_1001_0 + c_0101_3*c_1001_0 - 3*c_0101_7*c_1001_0 + 1/2*c_0011_10*c_1001_10 + 2*c_0011_12*c_1001_10 + c_0011_6*c_1001_10 + 1/2*c_0101_7*c_1001_10 + 7*c_1001_0*c_1001_10 - 3/2*c_1001_10^2 + 3/2*c_0011_10 - c_0011_6 + 3/2*c_0101_3 - 1/2*c_0101_7 - 1/2*c_1001_0, c_0011_12*c_1001_10^2 - c_0011_12*c_0011_6 - 11*c_0011_10*c_1001_0 + 3/2*c_0101_11*c_1001_0 + 3*c_0101_3*c_1001_0 - 6*c_0101_7*c_1001_0 + 3/2*c_0011_10*c_1001_10 - 2*c_0011_12*c_1001_10 - 3*c_0011_6*c_1001_10 + 3/2*c_0101_7*c_1001_10 + 9*c_1001_0*c_1001_10 - 3/2*c_1001_10^2 + 3/2*c_0011_10 + 2*c_0011_12 + 3/2*c_0101_3 - 3/2*c_0101_7 - 7/2*c_1001_0, c_0011_6*c_1001_10^2 - c_0011_6^2 + 17*c_0011_10*c_1001_0 - 5/2*c_0101_11*c_1001_0 - 5*c_0101_3*c_1001_0 + 13*c_0101_7*c_1001_0 - 5/2*c_0011_10*c_1001_10 - 2*c_0011_12*c_1001_10 + c_0011_6*c_1001_10 - 11/2*c_0101_7*c_1001_10 - 23*c_1001_0*c_1001_10 + 11/2*c_1001_10^2 - 11/2*c_0011_10 - 2*c_0011_12 + 2*c_0011_6 - 11/2*c_0101_3 + 5/2*c_0101_7 + 9/2*c_1001_0, c_0101_11*c_1001_10^2 + 4/3*c_0101_7^2 - 2/3*c_0101_11*c_1001_10 + 4/3*c_0101_3*c_1001_10 - 4*c_0101_7*c_1001_10 + 7/2*c_1001_10^2 - 1/6*c_0011_10 + 1/3*c_0011_12 + 1/2*c_0011_6 + 1/3*c_0101_11 - 4/3*c_0101_3 + 1/3*c_1001_0 - 5/3*c_1001_10 + 5/3, 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 - 22/3*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 + 2/3*c_0101_11*c_1001_10 - 31/3*c_0101_3*c_1001_10 + 24*c_0101_7*c_1001_10 - 18*c_1001_10^2 - 10/3*c_0011_10 - 4/3*c_0011_12 - 2*c_0011_6 + 6*c_0101_0 - 4/3*c_0101_11 + 22/3*c_0101_3 - 8*c_0101_7 - 1/3*c_1001_0 + 44/3*c_1001_10 - 38/3, 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 - 22/3*c_0101_7^2 + 5*c_0011_10*c_1001_10 - c_0011_6*c_1001_10 + 2/3*c_0101_11*c_1001_10 - 34/3*c_0101_3*c_1001_10 + 24*c_0101_7*c_1001_10 - 18*c_1001_10^2 - 10/3*c_0011_10 - 4/3*c_0011_12 - 2*c_0011_6 + 6*c_0101_0 - 4/3*c_0101_11 + 22/3*c_0101_3 - 8*c_0101_7 + 2/3*c_1001_0 + 44/3*c_1001_10 - 38/3, c_0011_10^2 + c_0101_7*c_1001_10 - c_1001_10^2 + c_0011_10, c_0011_10*c_0011_12 + 3*c_0011_10*c_1001_0 - 1/2*c_0101_11*c_1001_0 - c_0101_3*c_1001_0 + 2*c_0101_7*c_1001_0 - 1/2*c_0011_10*c_1001_10 - 2*c_0011_12*c_1001_10 - c_0011_6*c_1001_10 - 1/2*c_0101_7*c_1001_10 - 5*c_1001_0*c_1001_10 + 1/2*c_1001_10^2 - 1/2*c_0011_10 - 1/2*c_0101_3 + 1/2*c_0101_7 + 1/2*c_1001_0, 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 - 3*c_0011_10*c_1001_0 + 1/2*c_0101_11*c_1001_0 + c_0101_3*c_1001_0 - 3*c_0101_7*c_1001_0 + 1/2*c_0011_10*c_1001_10 + 2*c_0011_12*c_1001_10 + c_0011_6*c_1001_10 + 3/2*c_0101_7*c_1001_10 + 7*c_1001_0*c_1001_10 - 3/2*c_1001_10^2 + 3/2*c_0011_10 + 3/2*c_0101_3 - 1/2*c_0101_7 - 1/2*c_1001_0, c_0011_10*c_0101_0 - c_0011_10*c_1001_10 + c_0101_7 - c_1001_10, c_0011_12*c_0101_0 - 1/2*c_0101_11*c_1001_0 + 1/2*c_0011_10*c_1001_10 - c_0011_12*c_1001_10 + 3/2*c_0101_7*c_1001_10 - 3/2*c_1001_10^2 + 3/2*c_0011_10 - 3*c_0011_12 - 2*c_0011_6 + 3/2*c_0101_3 - 1/2*c_0101_7 - 5/2*c_1001_0, 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 - 1/3*c_0101_7^2 + 2/3*c_0101_11*c_1001_10 - 1/3*c_0101_3*c_1001_10 + c_0101_7*c_1001_10 - 3/2*c_1001_10^2 - 5/6*c_0011_10 - 1/3*c_0011_12 - 1/2*c_0011_6 - c_0101_0 - 1/3*c_0101_11 - 2/3*c_0101_3 + c_0101_7 - 1/3*c_1001_0 + 2/3*c_1001_10 - 2/3, c_0011_10*c_0101_11 - 2/3*c_0101_7^2 - 2/3*c_0101_11*c_1001_10 - 2/3*c_0101_3*c_1001_10 + 2*c_0101_7*c_1001_10 - 3/2*c_1001_10^2 + 5/6*c_0011_10 - 2/3*c_0011_12 - 1/2*c_0011_6 + 1/3*c_0101_11 + 2/3*c_0101_3 - 2/3*c_1001_0 + 1/3*c_1001_10 - 1/3, c_0011_12*c_0101_11 + c_0101_11*c_1001_0 - c_1001_0, c_0011_6*c_0101_11 - c_0011_12 - c_1001_0, c_0101_0*c_0101_11 + c_0101_3*c_0101_7 - 7/3*c_0101_7^2 + 1/2*c_0101_11*c_1001_0 + 1/2*c_0011_10*c_1001_10 + 2/3*c_0101_11*c_1001_10 - 7/3*c_0101_3*c_1001_10 + 11/2*c_0101_7*c_1001_10 - 7/2*c_1001_10^2 + 1/6*c_0011_10 + 2/3*c_0011_12 + 2*c_0101_0 - 4/3*c_0101_11 + 11/6*c_0101_3 - 5/2*c_0101_7 + 13/6*c_1001_0 + 8/3*c_1001_10 - 8/3, c_0101_11^2 - 1/3*c_0101_7^2 + 5/3*c_0101_11*c_1001_10 + 2/3*c_0101_3*c_1001_10 + c_0101_7*c_1001_10 - 1/2*c_1001_10^2 + 7/6*c_0011_10 - 1/3*c_0011_12 - 1/2*c_0011_6 + c_0101_0 - 1/3*c_0101_11 + 1/3*c_0101_3 - c_0101_7 + 2/3*c_1001_0 + 2/3*c_1001_10 + 1/3, 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 - 1/2*c_0101_11*c_1001_0 + 2*c_0101_3*c_1001_0 - c_0101_7*c_1001_0 + 1/2*c_0011_10*c_1001_10 - c_0011_12*c_1001_10 - 1/2*c_0101_7*c_1001_10 - 2*c_1001_0*c_1001_10 + 1/2*c_1001_10^2 - 1/2*c_0011_10 - c_0011_12 - 1/2*c_0101_3 - 1/2*c_0101_7 - 3/2*c_1001_0, 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 + 2*c_0101_3*c_0101_7 - 10/3*c_0101_7^2 + c_0101_11*c_1001_0 + c_0011_10*c_1001_10 + 2/3*c_0101_11*c_1001_10 - 10/3*c_0101_3*c_1001_10 + 7*c_0101_7*c_1001_10 - 4*c_1001_10^2 - 1/3*c_0011_10 + 8/3*c_0011_12 + c_0011_6 + 2*c_0101_0 - 1/3*c_0101_11 + 10/3*c_0101_3 - 4*c_0101_7 + 17/3*c_1001_0 + 11/3*c_1001_10 - 11/3, c_0101_3^2 - 3*c_0101_3*c_0101_7 + 13/3*c_0101_7^2 - c_0011_10*c_1001_10 - 2/3*c_0101_11*c_1001_10 + 13/3*c_0101_3*c_1001_10 - 10*c_0101_7*c_1001_10 + 6*c_1001_10^2 - 2/3*c_0011_10 - 2/3*c_0011_12 - 2*c_0101_0 + 1/3*c_0101_11 - 16/3*c_0101_3 + 5*c_0101_7 - 8/3*c_1001_0 - 14/3*c_1001_10 + 14/3, 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_11*c_0101_7 + c_0101_3*c_0101_7 - c_0101_7^2 + 1/2*c_0101_11*c_1001_0 + 1/2*c_0011_10*c_1001_10 - c_0101_3*c_1001_10 + 3/2*c_0101_7*c_1001_10 - 1/2*c_1001_10^2 - 1/2*c_0011_10 + 2*c_0011_12 + c_0011_6 + c_0101_0 + 1/2*c_0101_3 - 3/2*c_0101_7 + 7/2*c_1001_0 + c_1001_10 - 1, 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_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 - 378721855179/59828242519601*c_1001_10^11 - 272562855406/59828242519601*c_1001_10^10 - 4943003125035/119656485039202*c_1001_10^9 + 10506372679727/119656485039202*c_1001_10^8 - 57689513239035/119656485039202*c_1001_10^7 + 49387843878425/59828242519601*c_1001_10^6 - 106447517454895/59828242519601*c_1001_10^5 + 176971438428313/119656485039202*c_1001_10^4 - 43281038140980/59828242519601*c_1001_10^3 - 16796332102524/59828242519601*c_1001_10^2 - 129541893417555/119656485039202*c_1001_10 + 30953737840113/59828242519601, c_0011_11 + 1, c_0011_12 + 1599410009777/119656485039202*c_1001_10^11 - 573338648943/239312970078404*c_1001_10^10 + 4092657908221/59828242519601*c_1001_10^9 - 64972684754451/239312970078404*c_1001_10^8 + 67570526361847/59828242519601*c_1001_10^7 - 593347619093143/239312970078404*c_1001_10^6 + 1110667377883165/239312970078404*c_1001_10^5 - 1238197415896571/239312970078404*c_1001_10^4 + 466030625833179/239312970078404*c_1001_10^3 + 616597617562583/239312970078404*c_1001_10^2 - 268095402559007/239312970078404*c_1001_10 + 300710695365551/239312970078404, c_0011_4 - 1698500275264/59828242519601*c_1001_10^11 - 1319778420085/59828242519601*c_1001_10^10 - 9918438796178/59828242519601*c_1001_10^9 + 49104010281899/119656485039202*c_1001_10^8 - 241502410115631/119656485039202*c_1001_10^7 + 390595567190779/119656485039202*c_1001_10^6 - 397580400307545/59828242519601*c_1001_10^5 + 244026039751279/59828242519601*c_1001_10^4 + 50627598457063/119656485039202*c_1001_10^3 - 352469525995532/59828242519601*c_1001_10^2 - 226089207260228/59828242519601*c_1001_10 - 13132129704621/119656485039202, c_0011_6 - 2380347435753/119656485039202*c_1001_10^11 - 274138126922/59828242519601*c_1001_10^10 - 6163694966501/59828242519601*c_1001_10^9 + 43889338635965/119656485039202*c_1001_10^8 - 91029843695835/59828242519601*c_1001_10^7 + 368710103454937/119656485039202*c_1001_10^6 - 679234341174469/119656485039202*c_1001_10^5 + 331040010614896/59828242519601*c_1001_10^4 - 115109652403771/119656485039202*c_1001_10^3 - 417968940812645/119656485039202*c_1001_10^2 - 38196791107107/59828242519601*c_1001_10 - 13519335277271/59828242519601, c_0101_0 + 1698500275264/59828242519601*c_1001_10^11 + 1319778420085/59828242519601*c_1001_10^10 + 9918438796178/59828242519601*c_1001_10^9 - 49104010281899/119656485039202*c_1001_10^8 + 241502410115631/119656485039202*c_1001_10^7 - 390595567190779/119656485039202*c_1001_10^6 + 397580400307545/59828242519601*c_1001_10^5 - 244026039751279/59828242519601*c_1001_10^4 - 50627598457063/119656485039202*c_1001_10^3 + 352469525995532/59828242519601*c_1001_10^2 + 166260964740627/59828242519601*c_1001_10 + 13132129704621/119656485039202, c_0101_1 - 1, c_0101_11 + 3375358283871/239312970078404*c_1001_10^11 + 1601265169315/59828242519601*c_1001_10^10 + 20502751598793/239312970078404*c_1001_10^9 - 13698184406261/119656485039202*c_1001_10^8 + 173930953501763/239312970078404*c_1001_10^7 - 80161183977593/239312970078404*c_1001_10^6 + 194072056543015/239312970078404*c_1001_10^5 + 715209599330919/239312970078404*c_1001_10^4 - 1227607910394831/239312970078404*c_1001_10^3 + 1172466178876027/239312970078404*c_1001_10^2 + 1117854946512037/239312970078404*c_1001_10 + 69861829778487/119656485039202, c_0101_3 + 2492940906328/59828242519601*c_1001_10^11 + 2734969577263/119656485039202*c_1001_10^10 + 29223750452517/119656485039202*c_1001_10^9 - 38874495447103/59828242519601*c_1001_10^8 + 378599739729573/119656485039202*c_1001_10^7 - 666885378480323/119656485039202*c_1001_10^6 + 1369553369776999/119656485039202*c_1001_10^5 - 558218723811318/59828242519601*c_1001_10^4 + 398631346027319/119656485039202*c_1001_10^3 + 759631215073163/119656485039202*c_1001_10^2 + 219075315782253/59828242519601*c_1001_10 + 140473559300687/119656485039202, c_0101_7 + 7756732723301/239312970078404*c_1001_10^11 + 4531982767809/239312970078404*c_1001_10^10 + 45769931130613/239312970078404*c_1001_10^9 - 118009413106285/239312970078404*c_1001_10^8 + 586541033567107/239312970078404*c_1001_10^7 - 253203177242316/59828242519601*c_1001_10^6 + 522307760789706/59828242519601*c_1001_10^5 - 399772930889348/59828242519601*c_1001_10^4 + 117272348371344/59828242519601*c_1001_10^3 + 658868154574963/119656485039202*c_1001_10^2 + 304180273768415/119656485039202*c_1001_10 + 192039560138217/239312970078404, c_1001_0 - 1, c_1001_10^12 + c_1001_10^11 + 6*c_1001_10^10 - 13*c_1001_10^9 + 68*c_1001_10^8 - 98*c_1001_10^7 + 205*c_1001_10^6 - 81*c_1001_10^5 - 67*c_1001_10^4 + 233*c_1001_10^3 + 143*c_1001_10^2 + 42*c_1001_10 + 17 ] ==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: 3.580 seconds, Total memory usage: 32.09MB