Magma V2.22-2 Sun Aug 9 2020 22:18:55 on zickert [Seed = 3134605263] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/10_tetrahedra/L12n1751__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1751 geometric_solution 10.14941606 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 1 3 0132 0132 3012 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 0 -1 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 0 0 5 4 0132 1230 0132 0132 1 1 0 1 0 0 0 0 0 0 1 -1 1 -3 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 -1 0 -6 7 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 4 0 5 4 0132 0132 2103 2031 1 1 0 1 0 0 0 0 0 0 0 0 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 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 0.500000000000 0.866025403784 4 6 0 7 3012 0132 0132 0132 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 -7 7 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 2 2 1 3 0132 1302 0132 1230 1 1 1 0 0 0 0 0 0 0 1 -1 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 -7 7 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 2 8 9 1 2103 0132 0132 0132 1 1 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 -6 6 0 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 0.866025403784 9 3 8 8 0321 0132 0132 3120 1 2 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 0 0 -1 0 1 0 0 1 0 -1 6 -7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 9 9 3 8 2031 0132 0132 3012 1 1 2 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 1 -1 0 -1 0 1 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 6 5 7 6 3120 0132 1230 0132 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 6 7 7 5 0321 0132 1302 0132 1 1 1 2 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 -1 1 0 -6 0 0 6 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 ==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_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_0' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_1001_3' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_1010_6' : d['c_0011_5'], 'c_0011_8' : - d['c_0011_5'], 'c_1100_0' : - d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1100_3' : - d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1100_7' : - d['c_1001_1'], 'c_1001_8' : d['c_1001_1'], 'c_0110_3' : d['c_0101_7'], 'c_1100_1' : d['c_0101_7'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_1100_9' : d['c_0101_7'], 'c_0011_3' : d['c_0011_3'], 'c_0101_2' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0101_5' : d['c_0011_3'], 'c_0011_6' : - d['c_0011_3'], 'c_0110_9' : d['c_0011_3'], 'c_1010_3' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_7' : d['c_1001_5'], 'c_1001_5' : d['c_1001_5'], 'c_1010_8' : d['c_1001_5'], 'c_1010_9' : d['c_1001_5'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0011_7'], 'c_0011_9' : - d['c_0011_7'], 'c_0101_6' : d['c_0011_7'], 'c_0101_9' : - d['c_0011_7'], 'c_0110_8' : d['c_0011_7'], 'c_1010_7' : - d['c_0101_8'], 'c_0110_7' : - d['c_0101_8'], 'c_1001_9' : - d['c_0101_8'], 'c_1100_6' : - d['c_0101_8'], 'c_1100_8' : - d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_3_7' : d['1'], 's_1_7' : - d['1'], 's_0_7' : d['1'], 's_3_6' : d['1'], 's_2_6' : d['1'], 's_0_6' : d['1'], 's_2_5' : - d['1'], 's_1_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_5' : - d['1'], 's_2_4' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_1_4' : d['1'], 's_3_4' : d['1'], 's_1_6' : d['1'], 's_2_7' : - d['1'], 's_1_8' : d['1'], 's_3_9' : - d['1'], 's_0_9' : d['1'], 's_3_8' : d['1'], 's_0_8' : d['1'], 's_2_9' : d['1'], 's_1_9' : - d['1'], 's_2_8' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.020 Status: Saturating ideal ( 1 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 3 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Computing RadicalDecomposition Time: 0.010 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.000 IDEAL=DECOMPOSITION=TIME: 0.280 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_7, c_0101_8, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 + c_1001_1, c_0011_5 - c_1001_1 - 1, c_0011_7 - 1, c_0101_0 + 1, c_0101_1 - 1, c_0101_7 + c_1001_1 + 1, c_0101_8 + 1, c_1001_1^2 + c_1001_1 + 1, c_1001_5 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 0.280 seconds, Total memory usage: 32.09MB