Magma V2.22-2 Sun Aug 9 2020 22:19:42 on zickert [Seed = 1981417470] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L10n35__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n35 geometric_solution 12.40477830 oriented_manifold CS_unknown 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 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 0 0 0 0 -1 1 0 7 0 0 -7 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447469317438 0.784953654859 0 5 7 6 0132 0132 0132 0132 0 1 1 0 0 -1 0 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 0 0 0 0 0 0 0 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764801100319 0.589179762238 8 0 5 4 0132 0132 1230 0321 1 0 1 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 1 -1 0 -1 0 0 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 1.000000000000 1.000000000000 9 10 9 0 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 1 0 -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 0.413390714489 0.509617355766 11 2 0 12 0132 0321 0132 0132 1 1 1 0 0 0 0 0 -1 0 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 -8 0 7 1 8 0 0 -8 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611735083836 1.571765394095 10 1 10 2 0213 0132 1230 3012 0 1 0 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 0 0 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 0.511296531293 0.646742728974 9 12 1 8 2103 2310 0132 1302 0 1 1 1 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 0 0 0 0 0 0 0 -1 0 1 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447469317438 0.784953654859 11 8 11 1 3120 2310 2310 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 0 8 0 -8 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 0.511296531293 0.646742728974 2 12 6 7 0132 1023 2031 3201 1 0 0 1 0 0 0 0 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 -1 0 1 1 0 -1 0 -1 1 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 3 3 6 11 0132 1230 2103 1302 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 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 0.971496457563 0.843988440122 5 3 12 5 0213 0132 0213 3012 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 -1 0 1 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247761798844 0.951511612692 4 7 9 7 0132 3201 2031 3120 1 1 0 1 0 0 0 0 1 0 0 -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 1 -1 8 0 0 -8 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511296531293 0.646742728974 8 10 4 6 1023 0213 0132 3201 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 -1 -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 -1 0 0 1 -7 -1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611735083836 1.571765394095 ==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_0011_8' : d['c_0011_0'], 'c_0101_10' : d['c_0011_0'], 'c_0011_12' : d['c_0011_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_0101_9' : d['c_0101_0'], '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_0110_11' : 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_1010_4' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_1001_0'], 'c_1100_2' : - d['c_0110_10'], 'c_0110_5' : - d['c_0110_10'], 'c_1010_0' : - d['c_0110_10'], 'c_1001_2' : - d['c_0110_10'], 'c_1001_4' : - d['c_0110_10'], 'c_1100_5' : d['c_0110_10'], 'c_0110_10' : d['c_0110_10'], 'c_0011_6' : d['c_0011_6'], 'c_1100_0' : - d['c_0011_6'], 'c_1100_3' : - d['c_0011_6'], 'c_1100_4' : - d['c_0011_6'], 'c_1001_9' : d['c_0011_6'], 'c_1100_12' : - d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_1001_1' : - d['c_0101_2'], 'c_1010_5' : - d['c_0101_2'], 'c_1010_7' : - d['c_0101_2'], 'c_1010_1' : d['c_1001_5'], 'c_1001_5' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1100_10' : - d['c_1001_5'], 'c_1010_12' : - d['c_1001_5'], 'c_1100_1' : d['c_0011_11'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0011_11'], 'c_0110_2' : d['c_0011_11'], 'c_0101_8' : d['c_0011_11'], 'c_0011_4' : - d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_5' : d['c_0011_10'], 'c_1001_3' : - d['c_0011_10'], 'c_1010_10' : - d['c_0011_10'], 'c_0011_3' : - d['c_0011_10'], 'c_0011_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0110_9' : d['c_0101_3'], 'c_1010_9' : d['c_0101_3'], 'c_0101_7' : d['c_0101_3'], 'c_1100_11' : - d['c_0101_3'], 'c_1001_11' : - d['c_0101_3'], 'c_0110_6' : - d['c_0101_11'], 'c_1100_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_12' : d['c_0101_11'], 'c_1001_7' : d['c_0011_7'], 'c_1010_8' : - d['c_0011_7'], 'c_0011_7' : d['c_0011_7'], 'c_1010_11' : - d['c_0011_7'], 'c_1010_6' : d['c_0011_7'], 'c_0110_12' : - d['c_0011_7'], 'c_1100_8' : - d['c_0011_7'], 's_2_10' : - d['1'], 's_3_9' : d['1'], 's_1_8' : d['1'], 's_2_7' : d['1'], 's_1_7' : - d['1'], 's_0_7' : d['1'], 's_3_6' : d['1'], 's_1_6' : d['1'], 's_0_6' : d['1'], 's_2_5' : d['1'], 's_0_5' : d['1'], 's_3_4' : - d['1'], 's_0_4' : d['1'], 's_2_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_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_8' : - d['1'], 's_3_5' : d['1'], 's_1_4' : d['1'], 's_0_9' : d['1'], 's_1_10' : - d['1'], 's_1_9' : d['1'], 's_0_11' : d['1'], 's_2_12' : - d['1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_9' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_3_11' : d['1'], 's_3_8' : - d['1'], 's_1_11' : d['1'], 's_0_12' : d['1'], 's_2_11' : d['1'], 's_1_12' : - d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.140 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: 0.010 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: 0.010 Status: Saturating ideal ( 5 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.000 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: 0.000 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: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 13 )... 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: 0.010 IDEAL=DECOMPOSITION=TIME: 0.480 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0110_10, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 1/4*c_1001_5 + 3/4, c_0011_11 - c_1001_5 + 2, c_0011_6 - 1/4*c_1001_5 - 1/4, c_0011_7 - c_1001_5 + 3, c_0101_0 - 1, c_0101_1 + 2*c_1001_5 - 5, c_0101_11 + 1/4*c_1001_5 - 3/4, c_0101_2 + 4*c_1001_5 - 12, c_0101_3 - 1/4*c_1001_5 + 3/4, c_0110_10 - c_1001_5 + 1, c_1001_0 + 1/4*c_1001_5 - 3/4, c_1001_5^2 - 4*c_1001_5 + 5 ] ] 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: 0.480 seconds, Total memory usage: 32.09MB