Magma V2.22-2 Sun Aug 9 2020 22:20:16 on zickert [Seed = 1530357664] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L14n58031__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58031 geometric_solution 11.80771722 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 1 1 0 0 -1 0 1 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 2 1 -3 -1 0 1 0 3 -3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162911580773 0.798088378036 0 3 6 5 0132 2031 0132 0132 0 1 0 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 0 0 1 0 -1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661711156758 0.657768194436 7 0 9 8 0132 0132 0132 0132 2 0 0 1 0 1 0 -1 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 1 -1 0 1 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393334744409 0.652936318163 1 10 11 0 1302 0132 0132 0132 2 1 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 1 0 -1 -3 0 4 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.194746097466 0.709292838781 11 7 0 12 0321 0132 0132 0132 2 1 0 1 0 0 -1 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 3 -2 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510155890739 0.825426408583 6 8 1 12 1230 2103 0132 3201 0 1 2 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699290315993 0.615956795493 9 5 7 1 1230 3012 1230 0132 0 1 1 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 3 0 -4 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 0.162911580773 0.798088378036 2 4 10 6 0132 0132 0321 3012 2 0 1 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 1 -1 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.763707528335 0.821956387165 10 5 2 10 0321 2103 0132 0213 2 0 0 0 0 -1 1 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 2 -2 0 -1 0 1 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 1.323048224037 1.123741053782 12 6 11 2 0321 3012 0213 0132 2 0 1 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 1 -1 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531701797665 0.895959953353 8 3 7 8 0321 0132 0321 0213 2 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 0 0 0 0 -1 1 0 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.323048224037 1.123741053782 4 9 12 3 0321 0213 0132 0132 2 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 0 0 0 0 0 0 0 4 0 0 -4 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.468298202335 0.895959953353 9 5 4 11 0321 2310 0132 0132 2 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 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 0 0 0 0 0 0 0 1.458196148267 0.876632448258 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_0011_4' : - 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_0101_3' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0110_11' : d['c_0011_0'], 'c_1001_1' : - 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_1010_6' : - d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0110_0' : d['c_0011_9'], 'c_0101_1' : d['c_0011_9'], 'c_0101_4' : d['c_0011_9'], 'c_0110_6' : d['c_0011_9'], 'c_0101_11' : - d['c_0011_9'], 'c_0011_9' : d['c_0011_9'], 'c_0110_12' : - d['c_0011_9'], 'c_0011_5' : d['c_0011_5'], 'c_1001_6' : - 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_1001_8' : d['c_0011_5'], 'c_1001_10' : d['c_0011_5'], 'c_1100_7' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_1010_0' : - d['c_0101_6'], 'c_1001_2' : - d['c_0101_6'], 'c_1001_4' : - d['c_0101_6'], 'c_1010_9' : - d['c_0101_6'], 'c_1010_7' : - d['c_0101_6'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_11' : d['c_1100_0'], 'c_1100_12' : d['c_1100_0'], 'c_0110_8' : - d['c_0011_10'], 'c_1010_1' : - d['c_0011_10'], 'c_0011_3' : - d['c_0011_10'], 'c_1001_5' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_8' : - d['c_0011_10'], 'c_0110_10' : d['c_0011_10'], 'c_1100_1' : - d['c_0011_12'], 'c_1100_6' : - d['c_0011_12'], 'c_1100_5' : - d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_0101_2' : - d['c_0011_12'], 'c_0110_7' : - d['c_0011_12'], 'c_0110_9' : - d['c_0011_12'], 'c_0110_2' : - d['c_0101_10'], 'c_0101_7' : - d['c_0101_10'], 'c_0101_8' : - d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_1100_2' : d['c_1001_3'], 'c_1100_9' : d['c_1001_3'], 'c_1100_8' : d['c_1001_3'], 'c_1001_3' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 'c_1010_11' : d['c_1001_3'], 'c_0101_9' : d['c_0011_11'], 'c_0110_4' : - d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_12' : - d['c_0011_11'], 'c_1010_5' : - d['c_1001_12'], 'c_1010_8' : d['c_1001_12'], 'c_1010_4' : d['c_1001_12'], 'c_1001_7' : d['c_1001_12'], 'c_1001_12' : d['c_1001_12'], 'c_1100_10' : d['c_1001_12'], 'c_0110_5' : d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_1010_12' : - d['c_0011_6'], 'c_1001_9' : - d['c_0011_6'], 'c_1001_11' : - d['c_0011_6'], 's_2_11' : d['1'], 's_2_9' : d['1'], 's_0_9' : d['1'], 's_3_8' : d['1'], 's_0_8' : d['1'], 's_2_7' : d['1'], 's_2_6' : d['1'], 's_0_6' : d['1'], 's_3_5' : d['1'], 's_1_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_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_0_3' : d['1'], 's_3_6' : d['1'], 's_2_5' : d['1'], 's_0_7' : - d['1'], 's_3_9' : d['1'], 's_2_8' : d['1'], 's_1_10' : d['1'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_1_7' : - d['1'], 's_2_12' : d['1'], 's_1_6' : d['1'], 's_1_8' : d['1'], 's_1_12' : d['1'], 's_1_9' : d['1'], 's_3_7' : d['1'], 's_2_10' : d['1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_1_11' : d['1'], 's_3_12' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.040 Status: Saturating ideal ( 1 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 3 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 4 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.010 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: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 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: 0.010 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: Computing RadicalDecomposition Time: 0.000 Status: Number of components: 2 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 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.000 IDEAL=DECOMPOSITION=TIME: 0.460 IDEAL=DECOMPOSITION=BEGINS=HERE [ 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_5, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_6, c_1001_12, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 24*c_1100_0^3 - 32*c_1100_0^2 - 18*c_1100_0 - 3, c_0011_11 - 36*c_1100_0^3 - 54*c_1100_0^2 - 29*c_1100_0 - 5, c_0011_12 - 1, c_0011_5 - 1, c_0011_6 - c_1100_0, c_0011_9 - 1, c_0101_0 - 12*c_1100_0^3 - 10*c_1100_0^2 - c_1100_0 + 1, c_0101_10 - 6*c_1100_0 - 2, c_0101_6 - 12*c_1100_0^3 - 16*c_1100_0^2 - 8*c_1100_0 - 1, c_1001_12 - 12*c_1100_0^3 - 22*c_1100_0^2 - 14*c_1100_0 - 3, c_1001_3 - 12*c_1100_0^3 - 22*c_1100_0^2 - 14*c_1100_0 - 3, c_1100_0^4 + 11/6*c_1100_0^3 + 17/12*c_1100_0^2 + 1/2*c_1100_0 + 1/12 ], 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_5, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_6, c_1001_12, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 6*c_1100_0 - 3, c_0011_11 + 3*c_1100_0 - 1, c_0011_12 - 1, c_0011_5 - 1, c_0011_6 - c_1100_0, c_0011_9 - 1, c_0101_0 - 3*c_1100_0 + 1, c_0101_10 + 12*c_1100_0 - 6, c_0101_6 - 2*c_1100_0 - 1, c_1001_12 - 1, c_1001_3 - 1, c_1100_0^2 - 1/3 ] ] 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=BEGINS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 0.460 seconds, Total memory usage: 32.09MB