Magma V2.22-2 Sun Aug 9 2020 22:20:41 on zickert [Seed = 692234169] Type ? for help. Type -D to quit. Loading file "ptolemy_data_link/14_tetrahedra/10^3_5__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_5 geometric_solution 13.93968568 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 3 0132 0132 0132 0321 2 1 1 1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584842980242 0.778647894206 0 4 6 5 0132 0132 0132 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 0 -1 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 0 0 0 0 0.766588417465 0.875550351188 7 0 5 5 0132 0132 2103 2031 2 1 1 1 0 0 1 -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 1 0 -1 0 0 0 0 -1 -1 0 2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584842980242 0.778647894206 7 0 5 0 3120 0321 2031 0132 2 1 1 1 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 -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 0.383294208733 0.821069384327 8 1 7 9 0132 0132 1023 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 0 0 0 0 0 0 0 0 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 0.596902456982 2 2 1 3 2103 1302 0132 1302 1 1 2 1 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584842980242 0.778647894206 7 8 9 1 1023 0132 0132 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 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 0.596902456982 2 6 4 3 0132 1023 1023 3120 1 1 1 1 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 0 0 0 -2 1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.766588417465 0.875550351188 4 6 11 10 0132 0132 0132 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 -1 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 0.715722462693 1.066353669862 12 13 4 6 0132 0132 0132 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 0 0 0 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 0.715722462693 1.066353669862 12 13 8 13 2103 0213 0132 2310 1 1 0 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 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 0.415157019758 0.778647894206 12 13 12 8 3120 0321 2310 0132 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 -1 1 -1 0 1 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 0.415157019758 0.778647894206 9 11 10 11 0132 3201 2103 3120 0 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 -1 1 -1 0 0 1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415157019758 0.778647894206 10 9 10 11 3201 0132 0213 0321 1 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 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 0.415157019758 0.778647894206 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_0011_6' : 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_0011_7' : d['c_0011_0'], 'c_0011_8' : - d['c_0011_0'], 'c_0101_2' : d['c_0101_0'], 'c_0110_7' : d['c_0101_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_0110_0' : - d['c_0011_3'], 'c_0101_1' : - d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_0110_6' : - d['c_0011_3'], 'c_1010_7' : - d['c_0011_3'], 'c_1010_0' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_1001_0' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_3' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_1100_0' : - d['c_0110_5'], 'c_1100_3' : - d['c_0110_5'], 'c_1001_3' : - d['c_0110_5'], 'c_1100_2' : - d['c_0110_5'], 'c_0110_5' : d['c_0110_5'], 'c_1010_5' : d['c_0110_5'], 'c_1001_1' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_1'], 'c_1010_11' : d['c_1001_1'], 'c_1010_13' : d['c_1001_1'], 'c_0110_2' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_1010_1' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_5' : d['c_0101_7'], 'c_1100_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_1100_7' : - d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_6' : d['c_0101_3'], 'c_1100_5' : d['c_0101_3'], 'c_1100_9' : d['c_0101_3'], 'c_0101_6' : d['c_0101_10'], 'c_0101_4' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_1001_7' : d['c_0101_10'], 'c_0110_9' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_12' : d['c_0101_10'], 'c_0110_4' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0101_9' : d['c_0101_8'], 'c_0110_11' : d['c_0101_8'], 'c_0110_12' : d['c_0101_8'], 'c_1001_6' : d['c_1001_10'], 'c_1010_8' : d['c_1001_10'], 'c_1010_9' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : d['c_1001_10'], 'c_1100_8' : d['c_0011_12'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0011_12'], 'c_0011_9' : - d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_0011_13' : d['c_0011_12'], 'c_0101_11' : - d['c_0011_10'], 'c_0110_10' : - d['c_0011_10'], 'c_1100_12' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1001_12' : d['c_0011_10'], 'c_0101_13' : d['c_0011_10'], 'c_1001_11' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_1010_12' : - d['c_0011_11'], 'c_1010_10' : d['c_0011_11'], 'c_1100_13' : d['c_0011_11'], 'c_0110_13' : - d['c_0011_11'], 's_2_11' : d['1'], 's_1_11' : d['1'], 's_0_11' : d['1'], 's_3_10' : d['1'], 's_1_10' : d['1'], 's_0_10' : d['1'], 's_1_9' : d['1'], 's_0_9' : d['1'], 's_3_8' : d['1'], 's_2_8' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_0_6' : d['1'], 's_3_4' : d['1'], 's_2_4' : d['1'], 's_0_4' : d['1'], 's_2_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_1_3' : d['1'], 's_1_4' : d['1'], 's_3_6' : d['1'], 's_2_5' : d['1'], 's_0_7' : d['1'], 's_0_5' : d['1'], 's_1_5' : d['1'], 's_3_7' : d['1'], 's_3_5' : d['1'], 's_0_8' : d['1'], 's_2_7' : d['1'], 's_2_9' : d['1'], 's_1_7' : d['1'], 's_1_8' : d['1'], 's_3_9' : d['1'], 's_3_11' : d['1'], 's_2_10' : d['1'], 's_0_12' : d['1'], 's_1_13' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_0_13' : d['1'], 's_3_12' : d['1'], 's_3_13' : d['1'], 's_1_12' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.030 Status: Saturating ideal ( 1 / 14 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 14 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 14 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 4 / 14 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 5 / 14 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 14 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 14 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 14 / 14 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 14 ] Status: Computing RadicalDecomposition Time: 0.000 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.370 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_10, c_0101_3, c_0101_7, c_0101_8, c_0110_5, c_1001_1, c_1001_10 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 1, c_0011_12 - 1, c_0011_3 + c_1001_10 - 2, c_0011_5 - 1, c_0101_0 - c_1001_10 + 1, c_0101_10 - c_1001_10 + 1, c_0101_3 - 1, c_0101_7 - c_1001_10, c_0101_8 - c_1001_10 + 2, c_0110_5 + 1, c_1001_1 - c_1001_10 + 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_10" ] ] 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 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 14 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 14 / 14 )... 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 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 14 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 14 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: -1 Status: Testing witness [ 2 ] ... Time: 0.000 Status: Computing Groebner basis... Time: 0.000 Status: Saturating ideal ( 1 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 14 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 14 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 14 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 3 ] ... 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 14 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_10, c_0101_3, c_0101_7, c_0101_8, c_0110_5, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 1, c_0011_12 - 1, c_0011_3 + 1, c_0011_5 - 1, c_0101_0 - 2, c_0101_10 - 2, c_0101_3 - 1, c_0101_7 - 3, c_0101_8 - 1, c_0110_5 + 1, c_1001_1 - 2, c_1001_10 - 3 ] ==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: 0.440 seconds, Total memory usage: 32.09MB