Magma V2.22-2 Sun Aug 9 2020 22:19:49 on zickert [Seed = 1695119237] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L13n10349__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n10349 degenerate_solution 8.99735216 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 -0.000000000000 13 1 2 1 3 0132 0132 3012 0132 0 0 0 1 0 0 0 0 0 0 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 -1 1 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 0.750000000050 0.661437827619 0 0 4 4 0132 1230 1230 0132 0 0 1 0 0 -1 1 0 0 0 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000120 1.322875655820 4 0 5 4 0132 0132 0132 2031 0 0 1 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 -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 0.249999999860 0.661437827698 5 6 0 7 2031 0132 0132 0132 0 0 2 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 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624999998741 0.330718912436 2 2 1 1 0132 1302 0132 3012 0 0 0 1 0 0 0 0 0 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 1 -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 0.500000000120 1.322875655820 7 6 3 2 3012 0321 1302 0132 0 0 0 2 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 -1 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 1.499999996650 1.322875661197 8 3 9 5 0132 0132 0132 0321 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000002544 0.000000007030 8 9 3 5 2310 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999999999938 0.000000001671 6 9 7 10 0132 1230 3201 0132 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.200000004459 0.399999998445 11 7 8 6 0132 0132 3012 0132 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.199999996519 0.400000002623 12 11 8 12 0132 1302 0132 2031 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.000000002222 0.500000001357 9 12 12 10 0132 0213 0132 2031 2 2 2 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 -3 4 -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 0.999999997444 0.500000000422 10 10 11 11 0132 1302 0213 0132 2 2 2 2 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 -4 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 0.199999999043 0.400000001838 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_1001_0' : d['c_0011_0'], 'c_1010_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_0110_2' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1010_1' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_1001_4' : d['c_0101_0'], 'c_1100_2' : 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_3' : d['c_0101_1'], 'c_1010_4' : - d['c_0101_1'], 'c_1010_0' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_3' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_6' : d['c_1001_2'], 'c_0101_2' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1100_0' : d['c_0101_2'], 'c_1001_1' : - d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_4' : d['c_0101_2'], 'c_0110_5' : d['c_0101_2'], 'c_1100_7' : d['c_0101_2'], 'c_0011_3' : d['c_0011_3'], 'c_0101_5' : - d['c_0011_3'], 'c_0011_6' : - d['c_0011_3'], 'c_1010_7' : - d['c_0011_3'], 'c_0011_8' : d['c_0011_3'], 'c_1001_9' : - d['c_0011_3'], 'c_0110_3' : d['c_0101_7'], 'c_1001_5' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_1100_6' : d['c_0101_7'], 'c_1100_9' : d['c_0101_7'], 'c_1001_8' : - d['c_0101_7'], 'c_1010_3' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_7' : d['c_1001_6'], 'c_1010_9' : d['c_1001_6'], 'c_0011_5' : d['c_0011_5'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : - d['c_0011_5'], 'c_0101_8' : - d['c_0011_5'], 'c_0101_6' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_9' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_11' : d['c_0101_10'], 'c_0110_12' : d['c_0101_10'], 'c_1001_11' : d['c_0011_11'], 'c_0011_7' : d['c_0011_11'], 'c_1100_8' : - d['c_0011_11'], 'c_0011_9' : - d['c_0011_11'], 'c_1100_10' : - d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_1010_12' : d['c_0011_11'], 'c_0110_10' : d['c_0011_11'], 'c_0101_12' : d['c_0011_11'], 'c_1001_12' : d['c_0011_11'], 'c_1010_8' : d['c_0101_9'], 'c_0101_9' : d['c_0101_9'], 'c_1001_10' : d['c_0101_9'], 'c_0110_11' : d['c_0101_9'], 'c_1010_10' : - d['c_0011_10'], 'c_1100_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : - d['c_0011_10'], 'c_1010_11' : d['c_0011_10'], 'c_1100_12' : d['c_0011_10'], 's_2_11' : d['1'], 's_1_11' : - d['1'], 's_3_10' : d['1'], 's_1_10' : d['1'], 's_0_10' : - d['1'], 's_0_9' : - d['1'], 's_3_8' : - d['1'], 's_1_8' : d['1'], 's_1_7' : d['1'], 's_0_7' : d['1'], 's_2_6' : - d['1'], 's_0_6' : - d['1'], 's_1_5' : d['1'], 's_0_5' : d['1'], 's_3_3' : d['1'], 's_1_3' : d['1'], 's_0_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_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_1_1' : d['1'], 's_2_3' : d['1'], 's_3_4' : - d['1'], 's_2_4' : d['1'], 's_0_4' : d['1'], 's_3_5' : d['1'], 's_1_4' : - d['1'], 's_2_5' : d['1'], 's_1_6' : d['1'], 's_2_7' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_0_8' : - d['1'], 's_3_9' : - d['1'], 's_2_8' : d['1'], 's_1_9' : d['1'], 's_2_9' : d['1'], 's_2_10' : - d['1'], 's_0_11' : - d['1'], 's_0_12' : - d['1'], 's_3_11' : d['1'], 's_1_12' : d['1'], 's_2_12' : - d['1'], 's_3_12' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.100 Status: Saturating ideal ( 1 / 13 )... Time: 0.180 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.170 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 3 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.020 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: 0.010 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: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 11 ] Status: Computing RadicalDecomposition Time: 0.030 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.980 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_0101_9, c_1001_2, c_1001_6 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_10*c_1001_6^2 + 7*c_0011_10*c_0101_9 + 12*c_0011_11*c_0101_9 - 34*c_0101_10*c_0101_9 + 22*c_0101_9^2 - 3*c_0011_11*c_1001_6 - c_0101_10*c_1001_6 + c_0011_10, c_0011_11*c_1001_6^2 + 12*c_0011_10*c_0101_9 + 29*c_0011_11*c_0101_9 - 70*c_0101_10*c_0101_9 + 46*c_0101_9^2 - 3*c_0011_10*c_1001_6 + 4*c_0101_10*c_1001_6 - 2*c_0101_9*c_1001_6 + c_0011_11, c_0101_10*c_1001_6^2 - 10*c_0011_10*c_0101_9 - 22*c_0011_11*c_0101_9 + 55*c_0101_10*c_0101_9 - 36*c_0101_9^2 + c_0011_10*c_1001_6 - 4*c_0101_10*c_1001_6 + c_0101_9*c_1001_6 + c_0101_10, c_0101_9*c_1001_6^2 + 2*c_0011_10*c_0101_9 + 2*c_0011_11*c_0101_9 - 8*c_0101_10*c_0101_9 + 5*c_0101_9^2 + 2*c_0011_10*c_1001_6 - 2*c_0011_11*c_1001_6 - c_0101_10*c_1001_6 - 2*c_0101_9*c_1001_6 + c_0101_9, c_1001_6^3 + 2*c_0011_10*c_1001_6 + 2*c_0011_11*c_1001_6 - 8*c_0101_10*c_1001_6 + 5*c_0101_9*c_1001_6 + 4*c_0011_10 + 16*c_0011_11 + 11*c_0011_5 - 33*c_0101_10 + 8*c_0101_7 + 22*c_0101_9 + 4*c_1001_2 - 12*c_1001_6 + 8, c_0011_10^2 - c_0011_10*c_0101_9 + 2*c_0101_10*c_0101_9 - c_0101_9^2, c_0011_10*c_0011_11 - 2*c_0011_11*c_0101_9 + 3*c_0101_10*c_0101_9 - 2*c_0101_9^2, c_0011_11^2 - 2*c_0011_10*c_0101_9 - 2*c_0011_11*c_0101_9 + 8*c_0101_10*c_0101_9 - 5*c_0101_9^2, c_0011_10*c_0011_5 + c_0011_10*c_1001_6 - c_0101_9*c_1001_6 - c_0011_11 + c_0101_10, c_0011_11*c_0011_5 - c_0101_10*c_1001_6 - c_0011_10 + 4*c_0101_10 - 2*c_0101_9, c_0011_5^2 + 2/3*c_1001_6^2 + 7/3*c_0011_10 + 10/3*c_0011_11 + 8/3*c_0011_5 - 1/3*c_0101_0 - 28/3*c_0101_10 + 1/3*c_0101_7 + 19/3*c_0101_9 + 7/3*c_1001_2 + 2*c_1001_6 - 2/3, c_0011_10*c_0101_0 - c_0011_10 - c_0101_10 + c_0101_9, c_0011_11*c_0101_0 - c_0101_10 + c_0101_9, c_0011_5*c_0101_0 - 1/3*c_1001_6^2 - 2/3*c_0011_10 - 2/3*c_0011_11 - 7/3*c_0011_5 - 1/3*c_0101_0 + 8/3*c_0101_10 + 2*c_0101_2 - 2/3*c_0101_7 - 5/3*c_0101_9 - 8/3*c_1001_2 - c_1001_6 + 1/3, c_0101_0^2 - 3*c_0101_0 + 2*c_0101_2 - c_1001_2 + 2, c_0011_10*c_0101_10 + c_0011_11*c_0101_9 - 3*c_0101_10*c_0101_9 + 2*c_0101_9^2, c_0011_11*c_0101_10 + c_0011_10*c_0101_9 + 2*c_0011_11*c_0101_9 - 6*c_0101_10*c_0101_9 + 4*c_0101_9^2, c_0011_5*c_0101_10 + 2*c_0011_10*c_1001_6 + c_0011_11*c_1001_6 + 3*c_0101_10*c_1001_6 - 2*c_0101_9*c_1001_6 - c_0011_10 - 4*c_0101_10 + 3*c_0101_9, c_0101_0*c_0101_10 - c_0011_10 - c_0011_11 - c_0101_10, c_0101_10^2 - c_0011_10*c_0101_9 - 2*c_0011_11*c_0101_9 + 4*c_0101_10*c_0101_9 - 3*c_0101_9^2, c_0011_10*c_0101_2 + c_0011_11 - 3*c_0101_10 + 2*c_0101_9, c_0011_11*c_0101_2 + c_0011_10 + 2*c_0011_11 - 6*c_0101_10 + 4*c_0101_9, c_0011_5*c_0101_2 - 1/3*c_1001_6^2 - 2/3*c_0011_10 - 2/3*c_0011_11 + 8/3*c_0011_5 + 2/3*c_0101_0 + 8/3*c_0101_10 - 4*c_0101_2 + 7/3*c_0101_7 - 5/3*c_0101_9 + 4/3*c_1001_2 - 2*c_1001_6 + 10/3, c_0101_0*c_0101_2 - c_0101_0 + c_0101_2, c_0101_10*c_0101_2 - c_0011_10 - 2*c_0011_11 + 4*c_0101_10 - 3*c_0101_9, c_0101_2^2 - c_0101_0 + 6*c_0101_2 + c_1001_2 - 3, c_0011_10*c_0101_7 - 2*c_0011_10*c_1001_6 - c_0101_10*c_1001_6 + 2*c_0101_9*c_1001_6 + c_0011_10 - c_0101_9, c_0011_11*c_0101_7 + c_0101_9*c_1001_6 - c_0101_10, c_0011_5*c_0101_7 - 2/3*c_1001_6^2 - 4/3*c_0011_10 - 4/3*c_0011_11 - 17/3*c_0011_5 - 2/3*c_0101_0 + 13/3*c_0101_10 + 5*c_0101_2 - 4/3*c_0101_7 - 10/3*c_0101_9 - 19/3*c_1001_2 - 2*c_1001_6 - 4/3, c_0101_0*c_0101_7 + 1/3*c_1001_6^2 + 2/3*c_0011_10 + 2/3*c_0011_11 + 10/3*c_0011_5 + 1/3*c_0101_0 - 8/3*c_0101_10 - 3*c_0101_2 + 2/3*c_0101_7 + 5/3*c_0101_9 + 11/3*c_1001_2 + c_1001_6 + 2/3, c_0101_10*c_0101_7 - 3*c_0011_10*c_1001_6 - 2*c_0011_11*c_1001_6 - 4*c_0101_10*c_1001_6 + 2*c_0101_9*c_1001_6 + 2*c_0011_10 + c_0011_11 + 3*c_0101_10 - 2*c_0101_9, c_0101_2*c_0101_7 + c_0011_5 + c_1001_2, c_0101_7^2 + 1/3*c_1001_6^2 + 2/3*c_0011_10 + 2/3*c_0011_11 + 22/3*c_0011_5 + 1/3*c_0101_0 - 8/3*c_0101_10 - 6*c_0101_2 + 2/3*c_0101_7 + 8/3*c_0101_9 + 23/3*c_1001_2 + 4*c_1001_6 + 5/3, c_0011_5*c_0101_9 + 3*c_0011_10*c_1001_6 + 2*c_0011_11*c_1001_6 + 4*c_0101_10*c_1001_6 - 2*c_0101_9*c_1001_6 - 2*c_0011_10 - 2*c_0011_11 - 3*c_0101_10 + 2*c_0101_9, c_0101_0*c_0101_9 - c_0011_10 - c_0011_11 - 2*c_0101_10, c_0101_2*c_0101_9 - c_0101_10, c_0101_7*c_0101_9 - 4*c_0011_10*c_1001_6 - 3*c_0011_11*c_1001_6 - 6*c_0101_10*c_1001_6 + 2*c_0101_9*c_1001_6 + 3*c_0011_10 + 2*c_0011_11 + 4*c_0101_10 - 2*c_0101_9, c_0011_10*c_1001_2 + 2*c_0011_11 - 3*c_0101_10 + 2*c_0101_9, c_0011_11*c_1001_2 + 2*c_0011_10 + 2*c_0011_11 - 8*c_0101_10 + 5*c_0101_9, c_0011_5*c_1001_2 - 1/3*c_1001_6^2 - 2/3*c_0011_10 - 2/3*c_0011_11 + 14/3*c_0011_5 + 5/3*c_0101_0 + 8/3*c_0101_10 - 8*c_0101_2 + 10/3*c_0101_7 - 5/3*c_0101_9 + 13/3*c_1001_2 - 2*c_1001_6 + 13/3, c_0101_0*c_1001_2 + c_0101_2 - 1, c_0101_10*c_1001_2 - c_0011_10 - 2*c_0011_11 + 6*c_0101_10 - 4*c_0101_9, c_0101_2*c_1001_2 - c_0101_0 + 8*c_0101_2 + c_1001_2 - 4, c_0101_7*c_1001_2 + c_0101_2 - c_1001_6, c_0101_9*c_1001_2 + c_0011_11, c_1001_2^2 - 2*c_0101_0 + 12*c_0101_2 - 5, c_0011_5*c_1001_6 - c_0011_10 - 2*c_0011_11 + 6*c_0101_10 + c_0101_7 - 4*c_0101_9, c_0101_0*c_1001_6 - c_0011_5 - c_0101_0 + c_0101_2 - c_0101_7 - c_1001_2, c_0101_2*c_1001_6 + 1/3*c_1001_6^2 + 2/3*c_0011_10 + 2/3*c_0011_11 - 14/3*c_0011_5 - 2/3*c_0101_0 - 8/3*c_0101_10 + 2*c_0101_2 - 10/3*c_0101_7 + 5/3*c_0101_9 - 10/3*c_1001_2 + 2*c_1001_6 - 7/3, c_0101_7*c_1001_6 - 2/3*c_1001_6^2 - 4/3*c_0011_10 - 7/3*c_0011_11 - 8/3*c_0011_5 - 2/3*c_0101_0 + 16/3*c_0101_10 + 2*c_0101_2 - 10/3*c_0101_7 - 10/3*c_0101_9 - 7/3*c_1001_2 + 2*c_1001_6 - 4/3, c_1001_2*c_1001_6 + 2/3*c_1001_6^2 + 4/3*c_0011_10 + 4/3*c_0011_11 - 16/3*c_0011_5 - 1/3*c_0101_0 - 16/3*c_0101_10 + 2*c_0101_2 - 11/3*c_0101_7 + 10/3*c_0101_9 - 11/3*c_1001_2 + 2*c_1001_6 - 8/3, c_0011_0 - 1, c_0011_3 - 1, c_0101_1 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0101_9" ] ] 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: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 1 ] ... Time: 0.000 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.060 ==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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_0101_9, c_1001_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 54805321/3138880052*c_1001_6^7 + 607743197/6277760104*c_1001_6^6 - 2586376753/1569440026*c_1001_6^5 + 162104869/169669192*c_1001_6^4 + 11451901235/1569440026*c_1001_6^3 - 8246198661/6277760104*c_1001_6^2 - 25243710301/1569440026*c_1001_6 + 13086761679/1569440026, c_0011_11 - 123340397/12555520208*c_1001_6^7 + 42185915/784720013*c_1001_6^6 - 11584241373/12555520208*c_1001_6^5 + 39599751/84834596*c_1001_6^4 + 52808722773/12555520208*c_1001_6^3 - 2751551949/6277760104*c_1001_6^2 - 30413847615/3138880052*c_1001_6 + 8037235369/1569440026, c_0011_3 - 1, c_0011_5 - 43228767/1569440026*c_1001_6^7 + 870573969/6277760104*c_1001_6^6 - 7983695505/3138880052*c_1001_6^5 + 44713961/169669192*c_1001_6^4 + 32562961429/3138880052*c_1001_6^3 + 10471050915/6277760104*c_1001_6^2 - 16602564898/784720013*c_1001_6 + 16182421765/1569440026, c_0101_0 - 520221577/12555520208*c_1001_6^7 + 1434179291/6277760104*c_1001_6^6 - 48994908005/12555520208*c_1001_6^5 + 363217209/169669192*c_1001_6^4 + 219646068781/12555520208*c_1001_6^3 - 2024513173/784720013*c_1001_6^2 - 123385398953/3138880052*c_1001_6 + 15103378027/784720013, c_0101_1 - 1, c_0101_10 - 22207487/3138880052*c_1001_6^7 + 244474387/6277760104*c_1001_6^6 - 522489144/784720013*c_1001_6^5 + 60956419/169669192*c_1001_6^4 + 2350691754/784720013*c_1001_6^3 - 2599177387/6277760104*c_1001_6^2 - 5310516342/784720013*c_1001_6 + 4541379503/1569440026, c_0101_2 - 22207487/3138880052*c_1001_6^7 + 244474387/6277760104*c_1001_6^6 - 522489144/784720013*c_1001_6^5 + 60956419/169669192*c_1001_6^4 + 2350691754/784720013*c_1001_6^3 - 2599177387/6277760104*c_1001_6^2 - 5310516342/784720013*c_1001_6 + 4541379503/1569440026, c_0101_7 + 4555801/142676366*c_1001_6^7 - 89954461/570705464*c_1001_6^6 + 838226847/285352732*c_1001_6^5 - 558485/15424472*c_1001_6^4 - 3322915747/285352732*c_1001_6^3 - 1590816263/570705464*c_1001_6^2 + 3160832117/142676366*c_1001_6 - 1465729939/142676366, c_0101_9 - 1, c_1001_2 + 123340397/12555520208*c_1001_6^7 - 42185915/784720013*c_1001_6^6 + 11584241373/12555520208*c_1001_6^5 - 39599751/84834596*c_1001_6^4 - 52808722773/12555520208*c_1001_6^3 + 2751551949/6277760104*c_1001_6^2 + 30413847615/3138880052*c_1001_6 - 8037235369/1569440026, c_1001_6^8 - 6*c_1001_6^7 + 97*c_1001_6^6 - 98*c_1001_6^5 - 385*c_1001_6^4 + 280*c_1001_6^3 + 880*c_1001_6^2 - 992*c_1001_6 + 272 ] ==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: 1.820 seconds, Total memory usage: 32.09MB