Magma V2.22-2 Sun Aug 9 2020 22:20:10 on zickert [Seed = 692238234] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L14n54028__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n54028 degenerate_solution 8.99735226 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 1230 0132 0132 2 2 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 0 0 0 -1 0 1 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 0.199999999495 0.399999999820 0 3 0 3 0132 0132 3012 1230 2 2 2 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 1 0 0 0 1 -1 -1 -2 0 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000794 2.000000002559 4 5 6 0 0132 0132 0132 0132 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.000000017316 1.999999996548 1 1 0 6 3012 0132 0132 0132 2 2 2 2 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 1 -1 0 0 0 0 0 1 -1 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199999999495 0.399999999820 2 7 6 8 0132 0132 2310 0132 1 2 1 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 0 0 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 -0.000000000684 0.000000005384 7 2 6 8 0132 0132 3201 1023 2 1 1 2 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 0 0 0 0 0 -1 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 -21033668.138239871711 79664879.116140097380 5 4 3 2 2310 3201 0132 0132 2 2 1 2 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.000000017316 1.999999996548 5 4 9 8 0132 0132 0132 2310 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749999998308 0.661437827137 7 10 4 5 3201 0132 0132 1023 1 2 1 1 0 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 0 0 0 1 0 -1 0 0 0 0 0 -2 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749999998308 0.661437827137 10 11 10 7 2310 0132 2103 0132 1 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 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 0.499999994052 1.322875642287 9 8 9 12 2103 0132 3201 0132 1 1 1 1 0 -1 0 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 0 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 0.499999998923 1.322875676070 12 9 12 12 3201 0132 0213 1230 1 0 1 1 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 0 0 0 0 0 0 0 0 -3 0 2 1 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.250000003368 0.661437826254 11 11 10 11 3012 0213 0132 2310 1 1 0 1 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 0 -1 1 0 0 0 0 -1 -2 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.250000003368 0.661437826254 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_0101_0' : d['c_0011_0'], 'c_0110_1' : d['c_0011_0'], 'c_0110_2' : 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_0011_3' : d['c_0011_0'], 'c_1010_3' : - d['c_0011_0'], 'c_0101_4' : d['c_0011_0'], 'c_1001_6' : - d['c_0011_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_0' : - d['c_0101_6'], 'c_1100_1' : d['c_0101_6'], 'c_1010_2' : - d['c_0101_6'], 'c_0110_3' : d['c_0101_6'], 'c_1001_5' : - d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_1100_0' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_0011_2' : d['c_0011_2'], 'c_0011_4' : - d['c_0011_2'], 'c_0011_5' : - d['c_0011_2'], 'c_0011_7' : d['c_0011_2'], 'c_0101_5' : - d['c_0101_2'], 'c_0110_7' : - d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_0101_8' : d['c_0101_2'], 'c_1001_4' : - d['c_0110_8'], 'c_1010_7' : - d['c_0110_8'], 'c_1001_2' : d['c_0110_8'], 'c_1010_5' : d['c_0110_8'], 'c_1010_6' : d['c_0110_8'], 'c_0110_8' : d['c_0110_8'], 'c_1010_4' : d['c_1001_11'], 'c_1001_7' : d['c_1001_11'], 'c_1001_8' : d['c_1001_11'], 'c_1010_9' : d['c_1001_11'], 'c_1010_10' : d['c_1001_11'], 'c_1001_11' : d['c_1001_11'], 'c_1001_12' : d['c_1001_11'], 'c_1100_5' : - d['c_0011_6'], 'c_1100_4' : d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_1100_8' : d['c_0011_6'], 'c_0101_9' : d['c_0101_10'], 'c_0110_5' : - d['c_0101_10'], 'c_0101_7' : - d['c_0101_10'], 'c_1010_8' : - d['c_0101_10'], 'c_0110_9' : - d['c_0101_10'], 'c_1001_10' : - d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_1001_9' : d['c_0011_10'], 'c_1010_11' : d['c_0011_10'], 'c_1100_7' : - d['c_0011_10'], 'c_1100_9' : - d['c_0011_10'], 'c_0011_8' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0110_10' : d['c_0011_10'], 'c_0101_12' : d['c_0011_10'], 'c_0011_9' : - d['c_0011_11'], 'c_1100_10' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_1100_12' : d['c_0011_11'], 'c_1100_11' : - d['c_0011_12'], 'c_0110_11' : d['c_0011_12'], 'c_1010_12' : - d['c_0011_12'], 'c_0101_11' : d['c_0011_12'], 'c_0110_12' : - d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 's_3_11' : d['1'], 's_2_11' : d['1'], 's_0_11' : d['1'], 's_3_10' : d['1'], 's_2_9' : d['1'], 's_1_9' : d['1'], 's_0_9' : - d['1'], 's_1_8' : - d['1'], 's_3_7' : d['1'], 's_2_7' : - d['1'], 's_3_5' : d['1'], 's_2_5' : d['1'], 's_0_5' : d['1'], 's_3_4' : - d['1'], 's_2_4' : d['1'], 's_1_4' : - d['1'], 's_3_3' : d['1'], 's_2_2' : d['1'], 's_1_2' : d['1'], 's_0_2' : d['1'], 's_3_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_2_1' : d['1'], 's_3_2' : d['1'], 's_2_3' : - d['1'], 's_1_3' : d['1'], 's_0_3' : - d['1'], 's_0_4' : d['1'], 's_1_5' : d['1'], 's_3_6' : d['1'], 's_2_6' : d['1'], 's_1_7' : - d['1'], 's_1_6' : d['1'], 's_2_8' : - d['1'], 's_0_7' : d['1'], 's_0_6' : d['1'], 's_3_8' : d['1'], 's_3_9' : - d['1'], 's_0_8' : d['1'], 's_1_10' : - d['1'], 's_2_10' : - d['1'], 's_1_11' : d['1'], 's_0_10' : d['1'], 's_2_12' : d['1'], 's_3_12' : d['1'], 's_1_12' : d['1'], 's_0_12' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.030 Status: Saturating ideal ( 1 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 3 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 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: 0.000 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: 0.010 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: 0.010 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: 0.440 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_6, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_0110_8, c_1001_11, c_1100_0 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_10^2 + c_0101_10*c_1001_11 + 1/3*c_1001_11^2, c_0101_10*c_0101_2 + c_0101_2*c_1001_11 + 1/3*c_0110_8*c_1001_11 + 1/3*c_1001_11, c_0101_2^2 - c_0101_10 - c_0110_8, c_0101_10*c_0101_6 + c_1001_11, c_0101_2*c_0101_6 + c_0110_8 + 1, c_0101_6^2 - 3*c_0101_6 + 3, c_0101_10*c_0110_8 - c_0101_2*c_1001_11 + c_0101_10, c_0101_2*c_0110_8 + 4*c_0101_2 - c_0101_6 + 3*c_0110_8 - c_1001_11 + 3, c_0101_6*c_0110_8 - 3*c_0101_2 + c_0101_6 - 3*c_0110_8 - 3, c_0110_8^2 + 3*c_0101_10 - 9*c_0101_2 + 3*c_0101_6 - 4*c_0110_8 + 3*c_1001_11 - 8, c_0101_6*c_1001_11 - 3*c_0101_10 - 3*c_1001_11, c_0011_0 - 1, c_0011_10 - c_0101_10, c_0011_11 + c_0101_10 - c_1001_11, c_0011_12 - 1, c_0011_2 - 1, c_0011_6 - 4*c_0101_2 + c_0101_6 - 3*c_0110_8 - 3, c_0101_1 - c_0101_6 + 2, c_1100_0 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_11" ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... Status: Computing Groebner basis... Time: 0.010 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: 0.000 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: 0.010 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: 0.010 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: 0.010 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: 0.010 ==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_6, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_0110_8, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 1/25*c_0110_8^3 + 4/75*c_0110_8^2 + 29/75*c_0110_8 + 37/75, c_0011_11 - 1/25*c_0110_8^3 - 4/75*c_0110_8^2 - 29/75*c_0110_8 - 112/75, c_0011_12 - 1, c_0011_2 - 1, c_0011_6 + 7/75*c_0110_8^3 - 8/25*c_0110_8^2 - 8/25*c_0110_8 - 47/75, c_0101_1 + 3/25*c_0110_8^3 + 4/25*c_0110_8^2 + 29/25*c_0110_8 + 12/25, c_0101_10 + 1/25*c_0110_8^3 + 4/75*c_0110_8^2 + 29/75*c_0110_8 + 37/75, c_0101_2 + 4/75*c_0110_8^3 - 1/25*c_0110_8^2 + 24/25*c_0110_8 + 16/75, c_0101_6 + 3/25*c_0110_8^3 + 4/25*c_0110_8^2 + 29/25*c_0110_8 - 38/25, c_0110_8^4 + c_0110_8^3 + 12*c_0110_8^2 - 2*c_0110_8 + 7, c_1001_11 - 1, c_1100_0 - 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: 0.690 seconds, Total memory usage: 32.09MB