Magma V2.22-2 Sun Aug 9 2020 22:20:43 on zickert [Seed = 659175355] Type ? for help. Type -D to quit. Loading file "ptolemy_data_link/15_tetrahedra/10_98__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_98 geometric_solution 14.41291902 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 15 1 2 3 1 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.096585425253 0.833320841325 0 4 5 0 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 0.096585425253 0.833320841325 6 0 8 7 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.305928561142 0.988459551491 9 6 9 0 0132 3201 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266312480264 0.780192360245 6 1 10 8 1023 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671440592508 0.685384150392 11 6 12 1 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.725823343823 0.954495901820 2 4 3 5 0132 1023 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.374515514613 1.381416555319 11 10 2 13 3012 2031 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.784274918925 0.961407841889 4 10 12 2 3201 2103 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825351706274 0.558719104767 3 11 3 13 0132 0132 3120 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266312480264 0.780192360245 7 8 14 4 1302 2103 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812749418311 1.028810771843 5 9 12 7 0132 0132 3120 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.001690592463 0.857322133581 14 8 11 5 0213 1230 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.108204784974 0.731115459824 14 14 7 9 1302 3201 0132 0213 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 -1 0 0 1 11 -12 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517317921734 0.829588649476 12 13 13 10 0213 2031 2310 0132 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 0 -11 12 -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 0.523971381516 0.900552828308 ==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_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], 'c_1100_0' : - d['c_0101_0'], 'c_1100_3' : - 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_9' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_1100_1' : - d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_1100_5' : - d['c_0101_1'], 'c_0101_11' : d['c_0101_1'], 'c_1100_12' : - d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_1001_0' : - d['c_0101_4'], 'c_1010_2' : - d['c_0101_4'], 'c_1010_3' : - d['c_0101_4'], 'c_1001_7' : - d['c_0101_4'], 'c_1001_6' : d['c_0101_4'], 'c_0110_10' : d['c_0101_4'], 'c_1010_0' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1010_1' : - d['c_1001_2'], 'c_1001_4' : - d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1010_10' : - d['c_1001_2'], 'c_1001_1' : - d['c_0101_2'], 'c_1010_4' : - d['c_0101_2'], 'c_1010_5' : - d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_1001_3' : - d['c_0101_6'], 'c_0110_2' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_7' : d['c_0101_6'], 'c_1001_9' : d['c_0101_6'], 'c_1010_11' : d['c_0101_6'], 'c_1010_9' : d['c_1001_11'], 'c_1001_11' : d['c_1001_11'], 'c_1100_2' : d['c_1001_11'], 'c_1100_8' : d['c_1001_11'], 'c_1100_7' : d['c_1001_11'], 'c_1100_13' : d['c_1001_11'], 'c_1001_12' : - d['c_1001_11'], 'c_0011_5' : - d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0011_3' : d['c_0011_11'], 'c_0011_9' : - d['c_0011_11'], 'c_1100_6' : d['c_0011_11'], 'c_0101_3' : d['c_0101_3'], 'c_0110_9' : d['c_0101_3'], 'c_1100_9' : - d['c_0101_3'], 'c_0110_13' : - d['c_0101_3'], 'c_1010_13' : - d['c_0101_3'], 'c_1001_14' : d['c_0101_3'], 'c_1001_5' : d['c_0101_8'], 'c_0110_4' : - d['c_0101_8'], 'c_1010_6' : - d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_1010_12' : d['c_0101_8'], 'c_0011_13' : d['c_0011_13'], 'c_1100_4' : d['c_0011_13'], 'c_1100_10' : d['c_0011_13'], 'c_0011_8' : d['c_0011_13'], 'c_1001_10' : d['c_0011_13'], 'c_1010_14' : d['c_0011_13'], 'c_1100_14' : d['c_0011_13'], 'c_0011_7' : d['c_0011_7'], 'c_0101_5' : d['c_0011_7'], 'c_0110_11' : d['c_0011_7'], 'c_0110_12' : d['c_0011_7'], 'c_0101_10' : - d['c_0011_7'], 'c_0110_14' : - d['c_0011_7'], 'c_0110_7' : - d['c_0011_14'], 'c_1100_11' : - d['c_0011_14'], 'c_0101_13' : - d['c_0011_14'], 'c_0101_12' : d['c_0011_14'], 'c_0011_14' : d['c_0011_14'], 'c_1001_8' : d['c_0011_10'], 'c_1010_7' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1001_13' : d['c_0011_10'], 'c_0011_12' : - d['c_0011_10'], 'c_0101_14' : - d['c_0011_10'], 's_1_13' : d['1'], 's_0_13' : d['1'], 's_0_12' : d['1'], 's_2_11' : d['1'], 's_2_10' : d['1'], 's_3_9' : d['1'], 's_1_9' : d['1'], 's_2_8' : d['1'], 's_1_8' : d['1'], 's_3_7' : d['1'], 's_1_7' : d['1'], 's_0_7' : 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_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_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_3_1' : d['1'], 's_1_4' : d['1'], 's_3_5' : d['1'], 's_0_6' : d['1'], 's_3_8' : d['1'], 's_2_7' : d['1'], 's_0_9' : d['1'], 's_2_6' : d['1'], 's_2_9' : d['1'], 's_1_6' : d['1'], 's_3_10' : d['1'], 's_0_8' : d['1'], 's_0_11' : d['1'], 's_3_6' : d['1'], 's_3_12' : d['1'], 's_3_11' : d['1'], 's_0_10' : d['1'], 's_2_13' : d['1'], 's_1_10' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_3_13' : d['1'], 's_3_14' : d['1'], 's_2_12' : d['1'], 's_0_14' : d['1'], 's_1_14' : d['1'], 's_2_14' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 11.220 Status: Saturating ideal ( 1 / 15 )... Time: 1.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 15 )... Time: 1.070 Status: Recomputing Groebner basis... Time: 0.470 Status: Saturating ideal ( 3 / 15 )... Time: 0.650 Status: Recomputing Groebner basis... Time: 0.130 Status: Saturating ideal ( 4 / 15 )... Time: 0.120 Status: Recomputing Groebner basis... Time: 0.060 Status: Saturating ideal ( 5 / 15 )... Time: 0.070 Status: Recomputing Groebner basis... Time: 0.070 Status: Saturating ideal ( 6 / 15 )... Time: 0.060 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 15 )... Time: 0.060 Status: Recomputing Groebner basis... Time: 0.050 Status: Saturating ideal ( 8 / 15 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.060 Status: Saturating ideal ( 9 / 15 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 15 )... Time: 0.070 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 11 / 15 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 15 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 13 / 15 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 14 / 15 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 15 / 15 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 15 ] Status: Computing RadicalDecomposition Time: 0.060 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: 0.010 IDEAL=DECOMPOSITION=TIME: 15.720 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4, c_0101_6, c_0101_8, c_1001_11, c_1001_2 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_14^2 + 3*c_0101_2*c_1001_2 + c_1001_11*c_1001_2 + c_1001_2^2 + 3*c_1001_11 - c_1001_2 - 1, c_0011_14*c_0101_2 + c_0101_2*c_1001_2 - c_1001_11*c_1001_2 + c_1001_2^2 + c_0101_2 - c_1001_11 + c_1001_2, c_0101_2^2 - c_1001_11*c_1001_2 - c_0101_6 - 2*c_1001_11, c_0011_14*c_0101_6 - c_0101_2*c_1001_2 - c_1001_11*c_1001_2 + c_1001_2^2 + c_0101_6 - c_1001_11 + 3*c_1001_2 + 2, c_0011_14*c_1001_11 + c_0101_2*c_1001_2 + c_1001_11*c_1001_2 + c_1001_2^2 + 2*c_1001_11 + c_1001_2, c_0101_2*c_1001_11 + c_1001_2^2 + 2*c_1001_2 + 1, c_0101_6*c_1001_11 - c_1001_11*c_1001_2 + c_0101_2 - 2*c_1001_11, c_1001_11^2 + c_0101_2*c_1001_2 + c_1001_11, c_0011_14*c_1001_2 - c_0101_2*c_1001_2 - c_1001_11*c_1001_2 + c_1001_2^2 + c_0011_14 - c_1001_11 + 2*c_1001_2 + 1, c_0101_6*c_1001_2 - c_1001_2^2 - c_1001_11 - 2*c_1001_2 - 1, c_0011_0 - 1, c_0011_10 + c_0011_14 + c_1001_2 + 1, c_0011_11 + c_0101_6 + c_1001_11, c_0011_13 - c_1001_2 - 1, c_0011_7 + c_0101_2, c_0101_0 - c_1001_11, c_0101_1 + c_1001_2 + 1, c_0101_3 + c_1001_11, c_0101_4 - c_1001_11, c_0101_8 - c_1001_2 - 1 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4, c_0101_6, c_0101_8, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - c_1001_2 - 2, c_0011_11 + 2*c_1001_2 + 2, c_0011_13 + c_1001_2 - 1, c_0011_14 + 1, c_0011_7 + c_1001_2 + 1, c_0101_0 - c_1001_2 + 1, c_0101_1 - c_1001_2 + 1, c_0101_2 - c_1001_2 - 1, c_0101_3 - c_1001_2 + 1, c_0101_4 + c_1001_2 + 1, c_0101_6 - c_1001_2 - 1, c_0101_8 - c_1001_2 - 3, c_1001_11 + c_1001_2 + 1, c_1001_2^2 + 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_2" ], [] ] 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 / 15 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 15 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 15 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 15 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 15 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 15 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 15 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 15 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 15 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 15 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 15 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 15 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 15 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 14 / 15 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 15 / 15 )... 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: 0.020 ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4, c_0101_6, c_0101_8, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 1/2*c_1001_11^2 + 1/2*c_1001_11, c_0011_11 + 2*c_1001_11 + 4, c_0011_13 - 2, c_0011_14 + 1/2*c_1001_11^2 - 1/2*c_1001_11 + 2, c_0011_7 - c_1001_11^2 - c_1001_11, c_0101_0 - c_1001_11, c_0101_1 + 2, c_0101_2 + c_1001_11^2 + c_1001_11, c_0101_3 + c_1001_11, c_0101_4 - c_1001_11, c_0101_6 - c_1001_11 - 4, c_0101_8 - 2, c_1001_11^3 + c_1001_11^2 - 4, c_1001_2 - 1 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==WITNESSES=BEGINS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== 0 ==GENUS=FOR=COMPONENT=ENDS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 16.030 seconds, Total memory usage: 82.34MB