Magma V2.22-2 Sun Aug 9 2020 22:19:52 on zickert [Seed = 2098644872] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L13n10682__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n10682 geometric_solution 12.84485300 oriented_manifold CS_unknown 4 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 1 0132 1230 0132 2031 0 0 1 0 0 2 1 -3 -2 0 2 0 -1 0 0 1 3 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 2 1 0 -1 0 1 1 0 -2 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561957055279 1.066584229932 0 0 0 3 0132 1302 3012 0132 0 0 0 1 0 0 1 -1 2 0 -2 0 -3 3 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 1 0 2 -2 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613349412879 0.733855754355 4 5 6 0 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 0 0 2 -2 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 -1 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 0.329483540958 0.802254557557 7 8 1 5 0132 0132 0132 1230 0 0 0 0 0 0 1 -1 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 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 0.613349412879 0.733855754355 2 7 7 7 0132 0213 0132 0321 2 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 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 0.329483540958 0.802254557557 3 2 9 10 3012 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -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 -1 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 0.021247278868 1.767398775240 8 11 8 2 0321 0132 2031 0132 0 0 0 3 0 1 0 -1 2 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 -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 0.613349412879 0.733855754355 3 4 4 4 0132 0321 0213 0132 2 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 -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 0.561957055279 1.066584229932 6 3 12 6 0321 0132 0132 1302 0 3 0 0 0 0 0 0 0 0 0 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 -1 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 0.329483540958 0.802254557557 11 10 11 5 3012 3012 1302 0132 0 0 0 3 0 0 0 0 -1 0 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 1 0 0 -1 0 0 0 0 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329483540958 0.802254557557 9 12 5 12 1230 0213 0132 2310 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.329483540958 0.802254557557 9 6 12 9 2031 0132 0213 1230 0 0 3 0 0 -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 1 0 -1 0 0 0 0 -4 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561957055279 1.066584229932 10 11 10 8 3201 0213 0213 0132 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.329483540958 0.802254557557 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_1010_0' : - d['c_0011_0'], 'c_0110_0' : - d['c_0011_0'], 'c_0101_1' : - d['c_0011_0'], 'c_0011_0' : d['c_0011_0'], 'c_0011_1' : - d['c_0011_0'], 'c_1001_1' : - d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_0'], 'c_1001_0' : - d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1010_2' : - d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1001_5' : - d['c_0101_10'], 'c_0110_5' : d['c_0101_10'], 'c_1010_9' : - d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_1100_0' : - d['c_1001_3'], 'c_1100_2' : - d['c_1001_3'], 'c_1010_1' : d['c_1001_3'], 'c_1001_3' : d['c_1001_3'], 'c_1100_6' : - d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], 'c_0110_3' : - d['c_0011_2'], 'c_0101_7' : - d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_0011_4' : - d['c_0011_2'], 'c_0011_5' : - d['c_0011_2'], 'c_0101_2' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_0011_7' : - d['c_0011_3'], 'c_0011_8' : - d['c_0011_3'], 'c_1001_2' : d['c_1001_10'], 'c_1010_5' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_11' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1010_3' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0110_9' : d['c_0101_5'], 'c_1010_12' : d['c_0101_5'], 'c_1100_11' : d['c_0101_5'], 'c_1100_4' : d['c_1001_4'], 'c_1010_4' : d['c_1001_4'], 'c_1100_7' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_4'], 'c_1010_7' : d['c_1001_4'], 'c_1100_5' : d['c_0011_12'], 'c_1100_9' : d['c_0011_12'], 'c_1100_10' : d['c_0011_12'], 'c_0101_11' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_0101_9' : - d['c_0011_11'], 'c_1001_6' : - d['c_0011_11'], 'c_1010_11' : - d['c_0011_11'], 'c_0011_6' : - d['c_0011_11'], 'c_0110_8' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_1010_10' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_8' : - d['c_0101_6'], 'c_1100_8' : d['c_0101_6'], 'c_0110_12' : - d['c_0101_6'], 'c_1100_12' : d['c_0101_6'], 'c_1001_9' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_9' : - d['c_0011_10'], 'c_0110_11' : - d['c_0011_10'], 'c_0110_10' : - d['c_0011_10'], 'c_0101_12' : d['c_0011_10'], 's_2_11' : d['1'], 's_3_10' : d['1'], 's_1_10' : d['1'], 's_2_9' : d['1'], 's_1_9' : - d['1'], 's_0_9' : d['1'], 's_2_8' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_0_6' : d['1'], 's_3_5' : - d['1'], 's_2_5' : - d['1'], 's_3_4' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_3_3' : d['1'], 's_1_3' : d['1'], 's_0_3' : d['1'], 's_2_2' : d['1'], 's_1_2' : d['1'], 's_0_2' : d['1'], 's_3_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_2_1' : d['1'], 's_3_2' : d['1'], 's_1_1' : d['1'], 's_2_3' : d['1'], 's_0_4' : d['1'], 's_1_5' : d['1'], 's_3_6' : d['1'], 's_0_7' : d['1'], 's_1_8' : d['1'], 's_0_5' : d['1'], 's_2_7' : d['1'], 's_3_7' : d['1'], 's_1_7' : d['1'], 's_3_9' : - d['1'], 's_2_10' : - d['1'], 's_0_8' : d['1'], 's_1_11' : d['1'], 's_3_8' : d['1'], 's_3_12' : d['1'], 's_3_11' : d['1'], 's_0_10' : - d['1'], 's_0_11' : d['1'], 's_2_12' : d['1'], 's_0_12' : d['1'], 's_1_12' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.000 Status: Saturating ideal ( 1 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.000 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: 0.000 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: 0.010 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: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 13 )... Time: 0.000 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: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 12 ] Status: Computing RadicalDecomposition Time: 0.000 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.270 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_12, c_0011_2, c_0011_3, c_0101_0, c_0101_10, c_0101_5, c_0101_6, c_1001_10, c_1001_3, c_1001_4 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 2, c_0011_11 + 1, c_0011_12 - 3/4*c_1001_3 + 3/4, c_0011_2 - 5/4*c_1001_3 + 5/4, c_0011_3 - 5/4*c_1001_3 + 1/4, c_0101_0 - 1, c_0101_10 - c_1001_3 + 1, c_0101_5 + 1/4*c_1001_3 - 1/4, c_0101_6 - 1, c_1001_10 - 1/4*c_1001_3 + 1/4, c_1001_4 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_3" ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... Status: Computing Groebner basis... Time: 0.000 Status: Saturating ideal ( 1 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.000 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: 0.000 Status: Recomputing Groebner basis... Time: 0.000 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: 0.000 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: 0.000 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: -1 Status: Testing witness [ 1 ] ... Time: 0.000 Status: Computing Groebner basis... Time: 0.000 Status: Saturating ideal ( 1 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.000 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: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 13 )... Time: 0.000 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: 0.000 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: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 2 ] ... Time: 0.000 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.000 ==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_12, c_0011_2, c_0011_3, c_0101_0, c_0101_10, c_0101_5, c_0101_6, c_1001_10, c_1001_3, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 2, c_0011_11 + 1, c_0011_12 - 3/4, c_0011_2 - 5/4, c_0011_3 - 9/4, c_0101_0 - 1, c_0101_10 - 1, c_0101_5 + 1/4, c_0101_6 - 1, c_1001_10 - 1/4, c_1001_3 - 2, c_1001_4 - 1 ] ==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: 0.330 seconds, Total memory usage: 32.09MB