Magma V2.22-2 Sun Aug 9 2020 22:19:43 on zickert [Seed = 2031376383] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L11n293__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n293 geometric_solution 12.66121432 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1302 0132 0132 1 1 0 2 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 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 0.822875655532 0.822875655532 0 4 5 0 0132 0132 0132 2031 0 1 2 0 0 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 -1 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 0 0 0 0.250000000000 1.161437827766 6 6 7 0 0132 1230 0132 0132 1 1 2 1 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 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 0.803812609255 0.696187390745 8 9 0 10 0132 0132 0132 0132 1 1 0 0 0 0 0 0 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 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 0 0 0 0 0.607625218511 0.607625218511 11 1 11 9 0132 0132 3012 3120 0 1 0 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 1 0 -1 0 0 -1 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 0.392374781489 0.607625218511 12 10 9 1 0132 2031 2031 0132 0 1 0 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 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 0.500000000000 0.677124344468 2 11 2 12 0132 1302 3012 2103 1 1 1 2 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 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 0.289159369736 0.615663747894 8 9 12 2 2103 0213 0213 0132 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615663747894 0.710840630264 3 10 7 12 0132 0132 2103 0132 1 1 0 0 0 -1 1 0 0 0 0 0 -1 1 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 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 0.208497377871 0.677124344468 4 3 7 5 3120 0132 0213 1302 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705718913883 0.955718913883 5 8 3 11 1302 0132 0132 0132 1 1 0 0 0 1 0 -1 0 0 0 0 2 -2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607625218511 0.607625218511 4 4 10 6 0132 1230 0132 2031 1 1 2 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 1 -1 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 0.822875655532 0.822875655532 5 7 8 6 0132 0213 0132 2103 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 0.303812609255 0.803812609255 ==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_1010_1' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_1001_4' : d['c_0011_0'], 'c_0011_11' : - d['c_0011_0'], 'c_1001_0' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_8' : d['c_0101_1'], 'c_0101_12' : d['c_0101_1'], 'c_1010_0' : d['c_1001_3'], 'c_1100_1' : - d['c_1001_3'], 'c_1001_3' : d['c_1001_3'], 'c_1100_5' : - d['c_1001_3'], 'c_1010_9' : d['c_1001_3'], 'c_1100_0' : d['c_1010_12'], 'c_1100_2' : d['c_1010_12'], 'c_1100_3' : d['c_1010_12'], 'c_1100_7' : d['c_1010_12'], 'c_1100_10' : d['c_1010_12'], 'c_1010_6' : - d['c_1010_12'], 'c_1100_11' : d['c_1010_12'], 'c_1010_12' : d['c_1010_12'], 'c_1001_1' : d['c_0011_10'], 'c_1010_4' : d['c_0011_10'], 'c_1010_5' : d['c_0011_10'], 'c_0011_3' : d['c_0011_10'], 'c_0011_8' : - d['c_0011_10'], 'c_0011_9' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_2' : d['c_0011_2'], 'c_0011_6' : - d['c_0011_2'], 'c_1001_6' : - d['c_0011_2'], 'c_0101_4' : - d['c_0011_2'], 'c_0110_11' : - d['c_0011_2'], 'c_1010_11' : - d['c_0011_2'], 'c_0101_2' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_1100_12' : - d['c_0101_2'], 'c_1100_8' : - d['c_0101_2'], 'c_1001_2' : d['c_0101_5'], 'c_1100_6' : - d['c_0101_5'], 'c_1010_7' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0110_12' : d['c_0101_5'], 'c_1100_9' : d['c_0101_5'], 'c_0101_7' : d['c_0011_12'], 'c_0011_5' : - d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_0110_3' : d['c_0011_12'], 'c_0101_8' : d['c_0011_12'], 'c_0101_10' : d['c_0011_12'], 'c_1010_8' : d['c_1001_10'], 'c_1001_7' : d['c_1001_10'], 'c_1010_3' : d['c_1001_10'], 'c_1001_9' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : - d['c_0101_11'], 'c_0110_10' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0110_9' : d['c_0101_11'], 'c_0011_7' : d['c_0011_7'], 'c_1001_8' : d['c_0011_7'], 'c_1100_4' : - d['c_0011_7'], 'c_1001_11' : d['c_0011_7'], 'c_0101_9' : d['c_0011_7'], 'c_1010_10' : d['c_0011_7'], 's_3_10' : d['1'], 's_3_8' : 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_2_5' : d['1'], 's_1_5' : d['1'], 's_0_5' : d['1'], 's_3_4' : d['1'], 's_2_4' : d['1'], 's_0_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_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_3_1' : d['1'], 's_3_2' : d['1'], 's_2_3' : d['1'], 's_1_4' : d['1'], 's_3_5' : d['1'], 's_0_6' : d['1'], 's_2_6' : d['1'], 's_3_7' : d['1'], 's_0_8' : d['1'], 's_1_9' : d['1'], 's_2_10' : d['1'], 's_0_11' : d['1'], 's_1_11' : d['1'], 's_0_9' : d['1'], 's_0_12' : d['1'], 's_0_10' : d['1'], 's_3_9' : d['1'], 's_3_11' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_1_12' : d['1'], 's_1_10' : d['1'], 's_2_12' : d['1'], 's_2_11' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.030 Status: Saturating ideal ( 1 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.010 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: 0.010 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: 1 [ 13 ] Status: Computing RadicalDecomposition Time: 0.010 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.290 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_12, c_0011_2, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_1001_10, c_1001_3, c_1010_12 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + c_1010_12, c_0011_12 - c_1010_12 - 1, c_0011_2 + 1, c_0011_7 - 3*c_1010_12 - 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 - 2*c_1010_12 - 1, c_0101_2 + 2*c_1010_12, c_0101_5 + c_1010_12, c_1001_10 - 2*c_1010_12 - 1, c_1001_3 - c_1010_12 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1010_12" ] ] 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: 0.000 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: 0.000 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: 0.010 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: Testing witness [ 1 ] ... 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_12, c_0011_2, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_1001_10, c_1001_3, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 2, c_0011_2 + 1, c_0011_7 - 4, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 - 3, c_0101_2 + 2, c_0101_5 + 1, c_1001_10 - 3, c_1001_3 - 2, c_1010_12 - 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: 0.340 seconds, Total memory usage: 32.09MB