Magma V2.22-2 Sun Aug 9 2020 22:20:44 on zickert [Seed = 1244067772] Type ? for help. Type -D to quit. Loading file "ptolemy_data_link/16_tetrahedra/10^3_25__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_25 geometric_solution 15.48290563 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 16 1 2 3 2 0132 0132 0132 0213 0 2 1 2 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 1 -1 1 0 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 0.500000000000 0.866025403784 0 4 6 5 0132 0132 0132 0132 1 2 2 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 -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 0.500000000000 0.866025403784 7 0 4 0 0132 0132 1230 0213 0 1 2 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 -1 1 -1 0 0 1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 8 9 10 0 0132 0132 0132 0132 0 2 2 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 0 1 0 -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 0.375000000000 0.330718913883 11 1 11 2 0132 0132 3120 3012 1 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 8 12 1 12 2103 0132 0132 1230 1 2 0 2 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 -1 0 1 0 0 -1 1 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 13 12 13 1 0132 0213 3012 0132 1 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 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 0.500000000000 0.866025403784 2 11 13 12 0132 0132 0321 2103 2 1 1 2 0 0 0 0 0 0 0 0 1 0 0 -1 -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 0 -1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 3 14 5 14 0132 0132 2103 0213 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 -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 0.500000000000 1.322875655532 15 3 15 14 0132 0132 3120 3012 0 0 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 -1 1 0 0 0 1 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 13 14 15 3 3120 3012 3012 0132 0 2 0 2 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 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 1.250000000000 0.661437827766 4 7 4 15 0132 0132 3120 2103 2 0 2 1 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 0 0 0 -1 0 1 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 0.500000000000 0.866025403784 5 5 6 7 3012 0132 0213 2103 1 1 2 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 1 0 -1 -1 0 0 1 -1 0 0 1 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 6 6 7 10 0132 1230 0321 3120 2 2 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 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 0.500000000000 0.866025403784 10 8 9 8 1230 0132 1230 0213 0 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 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 0.500000000000 1.322875655532 9 10 9 11 0132 1230 3120 2103 2 0 2 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 0 -1 1 0 0 -1 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 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_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_11' : - 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_5' : d['c_0101_0'], 'c_0101_8' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0110_2' : - d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_0101_7' : - d['c_0101_1'], 'c_0101_13' : d['c_0101_1'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1001_9' : d['c_1001_0'], 'c_1100_10' : d['c_1001_0'], 'c_1001_15' : - d['c_1001_0'], 'c_1010_0' : d['c_0101_11'], 'c_1001_2' : d['c_0101_11'], 'c_1100_2' : d['c_0101_11'], 'c_1100_4' : - d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_1001_1' : - d['c_0101_2'], 'c_1010_4' : - d['c_0101_2'], 'c_1010_6' : - d['c_0101_2'], 'c_1100_12' : - d['c_0101_2'], 'c_1010_7' : d['c_1001_11'], 'c_1010_1' : - d['c_1001_11'], 'c_1001_4' : - d['c_1001_11'], 'c_1001_5' : - d['c_1001_11'], 'c_1001_11' : d['c_1001_11'], 'c_1010_12' : - d['c_1001_11'], 'c_1100_7' : - d['c_0110_12'], 'c_1100_1' : d['c_0110_12'], 'c_1100_6' : d['c_0110_12'], 'c_1100_5' : d['c_0110_12'], 'c_0110_12' : d['c_0110_12'], 'c_1001_13' : - d['c_0110_12'], 'c_1001_10' : - d['c_0011_14'], 'c_0011_3' : d['c_0011_14'], 'c_0011_8' : - d['c_0011_14'], 'c_0011_9' : - d['c_0011_14'], 'c_0011_14' : d['c_0011_14'], 'c_0011_15' : d['c_0011_14'], 'c_0101_3' : - d['c_0011_10'], 'c_0110_8' : - d['c_0011_10'], 'c_0110_10' : - d['c_0011_10'], 'c_0110_14' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0101_6' : - d['c_0011_10'], 'c_0110_13' : - d['c_0011_10'], 'c_1010_13' : - d['c_0011_10'], 'c_1001_3' : - d['c_0101_14'], 'c_1010_9' : - d['c_0101_14'], 'c_1010_10' : - d['c_0101_14'], 'c_0101_14' : d['c_0101_14'], 'c_0101_4' : d['c_0101_4'], 'c_0110_11' : d['c_0101_4'], 'c_1100_11' : - d['c_0101_4'], 'c_0101_9' : d['c_0101_4'], 'c_0110_15' : d['c_0101_4'], 'c_1100_15' : - d['c_0101_4'], 'c_0110_5' : d['c_0011_12'], 'c_1100_8' : - d['c_0011_12'], 'c_0011_5' : - d['c_0011_12'], 'c_1001_8' : - d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1010_14' : - d['c_0011_12'], 'c_1001_6' : - d['c_0011_13'], 'c_0011_6' : - d['c_0011_13'], 'c_0011_13' : d['c_0011_13'], 'c_1010_5' : - d['c_0011_13'], 'c_1001_12' : - d['c_0011_13'], 'c_0101_12' : - d['c_0011_13'], 'c_0101_10' : d['c_0101_10'], 'c_1001_7' : - d['c_0101_10'], 'c_1010_11' : - d['c_0101_10'], 'c_1100_13' : - d['c_0101_10'], 'c_1010_15' : d['c_0101_10'], 'c_1100_9' : - d['c_0101_15'], 'c_0110_9' : d['c_0101_15'], 'c_0101_15' : d['c_0101_15'], 'c_1010_8' : d['c_0101_15'], 'c_1001_14' : d['c_0101_15'], 'c_1100_14' : d['c_0101_15'], 's_3_11' : - d['1'], 's_2_10' : d['1'], 's_1_10' : d['1'], 's_0_10' : d['1'], 's_3_9' : d['1'], 's_2_9' : d['1'], 's_0_9' : - d['1'], 's_3_8' : d['1'], 's_1_8' : d['1'], 's_3_7' : d['1'], 's_2_7' : d['1'], 's_1_7' : d['1'], 's_2_6' : d['1'], 's_1_6' : - d['1'], 's_0_6' : d['1'], 's_3_5' : d['1'], 's_1_5' : - d['1'], 's_0_5' : d['1'], 's_2_4' : d['1'], 's_0_4' : - d['1'], 's_2_3' : d['1'], 's_1_3' : - d['1'], 's_0_3' : 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_3_2' : d['1'], 's_1_4' : - d['1'], 's_3_6' : - d['1'], 's_2_5' : - d['1'], 's_0_7' : d['1'], 's_3_4' : d['1'], 's_0_8' : d['1'], 's_1_9' : - d['1'], 's_3_10' : d['1'], 's_0_11' : - d['1'], 's_2_11' : d['1'], 's_2_8' : d['1'], 's_1_12' : - d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_2_12' : - d['1'], 's_1_13' : d['1'], 's_1_11' : d['1'], 's_2_13' : d['1'], 's_3_12' : d['1'], 's_1_14' : d['1'], 's_3_14' : d['1'], 's_0_15' : - d['1'], 's_2_15' : d['1'], 's_2_14' : d['1'], 's_3_13' : d['1'], 's_0_14' : d['1'], 's_1_15' : d['1'], 's_3_15' : - d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.210 Status: Saturating ideal ( 1 / 16 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 16 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 3 / 16 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 14 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 15 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 16 / 16 )... 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: 0.580 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_14, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_14, c_0101_15, c_0101_2, c_0101_4, c_0110_12, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 1, c_0011_13 - c_1001_11 + 1, c_0011_14 + c_0101_15 - 1, c_0101_0 - 1, c_0101_1 + c_1001_11, c_0101_10 - 1, c_0101_11 - c_1001_11 + 1, c_0101_14 + c_0101_15 - 2, c_0101_15^2 - c_0101_15 + 2, c_0101_2 + c_1001_11, c_0101_4 - 1, c_0110_12 - 1, c_1001_0 - 1, c_1001_11^2 - c_1001_11 + 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: 0.580 seconds, Total memory usage: 32.09MB