Magma V2.22-2 Sun Aug 9 2020 22:20:45 on zickert [Seed = 2697766845] Type ? for help. Type -D to quit. Loading file "ptolemy_data_link/16_tetrahedra/10^3_32__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_32 geometric_solution 14.30085042 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 4 0132 0132 0132 0132 0 0 2 2 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 0 1 -1 0 1 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.250000000000 0.661437827766 0 5 6 6 0132 0132 2103 0132 0 0 2 2 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572495224561 1.575566700023 7 0 8 8 0132 0132 2103 0132 0 1 2 2 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 1 0 -1 -1 0 1 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 9 9 8 0 0132 1302 2031 0132 0 0 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 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 0.500000000000 1.322875655532 9 10 0 8 2103 0132 0132 2031 0 0 2 2 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 1 -1 0 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 -0.250000000000 0.661437827766 7 1 11 10 1023 0132 0132 0132 0 0 2 2 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 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 0.227244522513 0.485404687820 1 10 1 12 2103 1302 0132 0132 0 0 0 2 0 0 1 -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 0 1 -1 0 0 1 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796276732148 0.560667728005 2 5 13 13 0132 1023 0132 3120 0 1 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 1 -1 1 0 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 0.786247612280 0.787783350012 2 4 2 3 2103 1302 0132 1302 0 1 0 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 1 -1 -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 0.750000000000 0.661437827766 3 14 4 3 0132 0132 2103 2031 2 0 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 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 0.250000000000 0.661437827766 14 4 5 6 3120 0132 0132 2031 0 0 2 2 0 0 -1 1 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 2 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.223781507587 1.014898972018 15 14 12 5 0132 1023 3012 0132 0 0 2 1 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 0 0 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388109246207 0.507449486009 15 11 6 13 3120 1230 0132 3012 0 0 1 0 0 0 1 -1 0 0 0 0 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 0 1 -1 0 0 1 -1 0 -1 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.160404272018 0.591169137871 7 15 12 7 3120 1230 1230 0132 0 1 2 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 1 -1 1 0 -1 0 1 -1 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320808544035 1.182338275743 11 9 15 10 1023 0132 3012 3120 2 0 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 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 0.776218492413 1.014898972018 11 14 13 12 0132 1230 3012 3120 0 0 1 2 0 0 1 -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 2 -2 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.365308941782 0.635930768190 ==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_7' : 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_0110_0' : d['c_0101_0'], 'c_0101_1' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0110_4' : d['c_0110_4'], 'c_1001_0' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_3' : d['c_0110_4'], 'c_1001_8' : d['c_0110_4'], 'c_1100_9' : - d['c_0110_4'], 'c_1001_1' : d['c_0011_6'], 'c_1010_5' : d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_1010_4' : d['c_0011_6'], 'c_1001_10' : d['c_0011_6'], 'c_1010_0' : d['c_0011_6'], 'c_1001_2' : d['c_0011_6'], 'c_1001_4' : d['c_0011_6'], 'c_0011_8' : d['c_0011_6'], 'c_1010_10' : d['c_0011_6'], 'c_1100_0' : - d['c_1010_8'], 'c_1100_3' : - d['c_1010_8'], 'c_1100_4' : - d['c_1010_8'], 'c_1010_8' : d['c_1010_8'], 'c_1010_1' : d['c_0110_10'], 'c_1001_5' : d['c_0110_10'], 'c_1001_6' : d['c_0110_10'], 'c_1010_11' : d['c_0110_10'], 'c_0110_10' : d['c_0110_10'], 'c_0110_14' : d['c_0110_10'], 'c_1100_1' : - d['c_0101_12'], 'c_0110_6' : d['c_0101_12'], 'c_1100_6' : - d['c_0101_12'], 'c_0101_12' : d['c_0101_12'], 'c_1100_12' : - d['c_0101_12'], 'c_1100_15' : - d['c_0101_12'], 'c_1001_13' : d['c_0101_12'], 'c_0110_2' : d['c_0101_2'], 'c_0101_7' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_0101_8' : d['c_0101_2'], 'c_0110_13' : d['c_0101_2'], 'c_1001_3' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0110_9' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0110_8' : - d['c_0101_3'], 'c_1100_8' : d['c_0101_3'], 'c_0011_11' : d['c_0011_11'], 'c_0011_15' : - d['c_0011_11'], 'c_0011_3' : d['c_0011_11'], 'c_0011_9' : - d['c_0011_11'], 'c_1010_9' : d['c_0011_11'], 'c_0011_14' : d['c_0011_11'], 'c_1001_14' : d['c_0011_11'], 'c_0011_4' : - d['c_0011_10'], 'c_1001_9' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1010_14' : - d['c_0011_10'], 'c_0101_5' : d['c_0101_15'], 'c_1001_7' : d['c_0101_15'], 'c_0110_11' : d['c_0101_15'], 'c_1010_13' : d['c_0101_15'], 'c_0101_15' : d['c_0101_15'], 'c_0110_5' : - d['c_0011_13'], 'c_1010_7' : - d['c_0011_13'], 'c_0101_10' : - d['c_0011_13'], 'c_0011_13' : d['c_0011_13'], 'c_1100_14' : d['c_0011_13'], 'c_1001_15' : - d['c_0011_13'], 'c_1010_6' : d['c_1001_12'], 'c_1100_5' : - d['c_1001_12'], 'c_1100_11' : - d['c_1001_12'], 'c_1100_10' : - d['c_1001_12'], 'c_1001_12' : d['c_1001_12'], 'c_0110_12' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0110_15' : d['c_0101_11'], 'c_1010_12' : d['c_0101_11'], 'c_1100_7' : d['c_0101_11'], 'c_1100_13' : d['c_0101_11'], 'c_0101_13' : - d['c_0101_11'], 'c_1001_11' : - d['c_0011_12'], 'c_0101_14' : - d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1010_15' : - d['c_0011_12'], 's_2_14' : d['1'], 's_1_13' : d['1'], 's_3_12' : d['1'], 's_0_12' : d['1'], 's_2_11' : d['1'], 's_1_11' : d['1'], 's_0_11' : d['1'], 's_0_10' : d['1'], 's_1_9' : d['1'], 's_3_7' : d['1'], 's_2_7' : d['1'], 's_3_6' : d['1'], 's_1_6' : - d['1'], 's_3_5' : 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_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_0_6' : - d['1'], 's_2_6' : d['1'], 's_0_7' : d['1'], 's_0_8' : d['1'], 's_2_8' : d['1'], 's_0_9' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_2_9' : d['1'], 's_1_10' : - d['1'], 's_1_8' : d['1'], 's_1_7' : d['1'], 's_3_11' : d['1'], 's_2_10' : d['1'], 's_3_10' : - d['1'], 's_2_12' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_1_14' : d['1'], 's_3_14' : d['1'], 's_0_15' : d['1'], 's_0_14' : d['1'], 's_1_12' : d['1'], 's_3_15' : d['1'], 's_2_13' : d['1'], 's_2_15' : d['1'], 's_1_15' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.260 Status: Saturating ideal ( 1 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 3 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 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: 0.010 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: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 16 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 11 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 16 )... Time: 0.000 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: 0.010 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: 0.020 IDEAL=DECOMPOSITION=TIME: 0.670 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_11, c_0011_12, c_0011_13, c_0011_6, c_0101_0, c_0101_11, c_0101_12, c_0101_15, c_0101_2, c_0101_3, c_0110_10, c_0110_4, c_1001_12, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 1, c_0011_12 - 6/41*c_1001_12^3 + 4/41*c_1001_12^2 + 11/41*c_1001_12 + 6/41, c_0011_13 + 3/41*c_1001_12^3 - 2/41*c_1001_12^2 - 26/41*c_1001_12 - 3/41, c_0011_6 - 1, c_0101_0 - 1, c_0101_11 - 2/41*c_1001_12^3 + 15/41*c_1001_12^2 - 10/41*c_1001_12 + 2/41, c_0101_12 - 3/41*c_1001_12^3 + 2/41*c_1001_12^2 - 15/41*c_1001_12 + 44/41, c_0101_15 - 1/41*c_1001_12^3 - 13/41*c_1001_12^2 + 36/41*c_1001_12 + 1/41, c_0101_2 - 1, c_0101_3 - c_1010_8 - 2, c_0110_10 + 3/41*c_1001_12^3 - 2/41*c_1001_12^2 + 15/41*c_1001_12 - 3/41, c_0110_4 + c_1010_8 + 1, c_1001_12^4 - 3*c_1001_12^3 + 2*c_1001_12^2 + c_1001_12 + 16, c_1010_8^2 + 3*c_1010_8 + 4 ] ] 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: 0.680 seconds, Total memory usage: 32.09MB