Magma V2.22-2 Sun Aug 9 2020 22:20:13 on zickert [Seed = 2714601373] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L14n57039__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n57039 degenerate_solution 8.99735203 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 2 0132 0132 0321 0213 2 0 0 0 0 0 -1 1 -1 0 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 -1 -4 5 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 0.624999999909 0.330718913857 0 3 3 4 0132 0132 2031 0132 0 0 0 0 0 0 0 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0.750000001555 0.661437827692 3 0 0 0 2103 0132 0321 0213 2 0 0 0 0 0 1 -1 -1 0 0 1 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 -5 1 0 0 -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 0.624999999909 0.330718913857 5 1 2 1 0132 0132 2103 1302 0 0 0 0 0 0 0 0 -1 0 1 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 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 0.500000002357 1.322875652613 5 6 1 7 3201 0132 0132 0132 0 0 1 0 0 0 0 0 0 0 1 -1 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 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 0.500000004195 1.322875661069 3 6 7 4 0132 1302 2031 2310 1 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 0 0 0 0 0.750000000238 0.661437831106 8 4 9 5 0132 0132 0132 2031 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 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 0.000000001691 0.000000002216 8 9 4 5 2310 0132 0132 1302 0 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 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 0.999999999696 0.000000001737 6 9 7 10 0132 1230 3201 0132 1 1 1 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 -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 0 0 0 0.799999998008 0.400000000356 11 7 8 6 0132 0132 3012 0132 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 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 0.800000002230 0.399999999529 12 11 8 12 0132 1302 0132 3201 1 1 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 0 0 0 0 0 -1 1 0 0 0 0 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749999999974 0.249999999969 9 12 12 10 0132 3201 0132 2031 1 1 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 0 0 0 3 0 -3 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 0.749999999946 0.249999999975 10 10 11 11 0132 2310 2310 0132 1 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799999999906 0.400000000003 ==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_3' : d['c_0011_0'], 'c_1010_1' : - d['c_0011_0'], 'c_1001_3' : - d['c_0011_0'], 'c_1001_4' : - d['c_0011_0'], 'c_0011_5' : - d['c_0011_0'], 'c_1010_6' : - d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0101_2' : - d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : - d['c_0101_0'], 'c_0110_5' : - d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0110_2' : - d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_0' : d['c_1001_0'], 'c_1010_0' : d['c_1001_0'], 'c_1001_2' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1100_2' : d['c_1001_0'], 'c_1100_1' : d['c_0101_5'], 'c_1001_1' : - d['c_0101_5'], 'c_1010_3' : - d['c_0101_5'], 'c_0110_3' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_1100_7' : d['c_0101_5'], 'c_0011_4' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_0011_6' : - d['c_0011_4'], 'c_1010_7' : - d['c_0011_4'], 'c_0011_8' : d['c_0011_4'], 'c_1001_9' : - d['c_0011_4'], 'c_0110_4' : d['c_0101_7'], 'c_1010_5' : - d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_1100_6' : d['c_0101_7'], 'c_1100_9' : d['c_0101_7'], 'c_1001_8' : - d['c_0101_7'], 'c_1010_4' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_7' : d['c_1001_6'], 'c_1010_9' : d['c_1001_6'], 'c_1001_5' : d['c_0101_8'], 'c_0110_6' : d['c_0101_8'], 'c_0110_7' : - d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0101_6' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_9' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_11' : d['c_0101_10'], 'c_0110_12' : d['c_0101_10'], 'c_0011_7' : - d['c_0011_10'], 'c_1100_8' : d['c_0011_10'], 'c_0011_9' : d['c_0011_10'], 'c_1100_10' : d['c_0011_10'], 'c_0011_11' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : - d['c_0011_10'], 'c_1010_11' : d['c_0011_10'], 'c_1100_12' : - d['c_0011_10'], 'c_1010_10' : d['c_0011_10'], 'c_1100_11' : - d['c_0011_10'], 'c_1001_12' : - d['c_0011_10'], 'c_1010_8' : d['c_0101_9'], 'c_0101_9' : d['c_0101_9'], 'c_1001_10' : d['c_0101_9'], 'c_0110_11' : d['c_0101_9'], 'c_1001_11' : - d['c_0101_12'], 'c_0110_10' : d['c_0101_12'], 'c_0101_12' : d['c_0101_12'], 'c_1010_12' : - d['c_0101_12'], 's_2_11' : d['1'], 's_1_11' : - d['1'], 's_3_10' : d['1'], 's_1_10' : d['1'], 's_0_10' : - d['1'], 's_0_9' : - d['1'], 's_3_8' : - d['1'], 's_1_8' : d['1'], 's_1_7' : d['1'], 's_0_7' : d['1'], 's_2_6' : - d['1'], 's_0_6' : - d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_3_4' : d['1'], 's_1_4' : d['1'], 's_0_4' : d['1'], 's_0_3' : 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_2_2' : d['1'], 's_3_2' : d['1'], 's_1_3' : d['1'], 's_3_3' : d['1'], 's_2_4' : d['1'], 's_2_3' : d['1'], 's_0_5' : d['1'], 's_3_5' : d['1'], 's_1_6' : d['1'], 's_2_7' : d['1'], 's_3_6' : d['1'], 's_3_7' : d['1'], 's_0_8' : - d['1'], 's_3_9' : - d['1'], 's_2_8' : d['1'], 's_1_9' : d['1'], 's_2_9' : d['1'], 's_2_10' : - d['1'], 's_0_11' : - d['1'], 's_0_12' : - d['1'], 's_3_11' : d['1'], 's_1_12' : d['1'], 's_2_12' : - 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: 0.010 Status: Saturating ideal ( 3 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 6 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 13 )... Time: 0.020 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: 0.000 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: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 11 ] Status: Computing RadicalDecomposition Time: 0.030 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.470 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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_5, c_0101_7, c_0101_8, c_0101_9, c_1001_0, c_1001_6 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_1^2 + 3*c_0101_1 - 1/2*c_0101_5 + 7/2, c_0101_1*c_0101_10 + 7/3*c_0101_10 + 2/3*c_0101_12 - 5/3*c_0101_9, c_0101_10^2 + 5/3*c_0101_10*c_0101_9 - 7/6*c_0101_12*c_0101_9 - 7/3*c_0101_9^2, c_0101_1*c_0101_12 - 2/3*c_0101_10 + 5/3*c_0101_12 - 2/3*c_0101_9, c_0101_10*c_0101_12 - 4/3*c_0101_10*c_0101_9 - 2/3*c_0101_12*c_0101_9 + 5/3*c_0101_9^2, c_0101_12^2 + 2/3*c_0101_10*c_0101_9 - 2/3*c_0101_12*c_0101_9 + 2/3*c_0101_9^2, c_0101_1*c_0101_5 - c_0101_1 + 2*c_0101_5, c_0101_10*c_0101_5 - 3*c_0101_10 + 2*c_0101_12 + 2*c_0101_9, c_0101_12*c_0101_5 + 4/3*c_0101_10 - 1/3*c_0101_12 - 8/3*c_0101_9, c_0101_5^2 + 4*c_0101_1 - 4*c_0101_5 + 7, c_0101_1*c_0101_7 + c_0101_1 - c_0101_5 + 2*c_0101_7 - 1/2*c_0101_8 - 3/2*c_1001_6 + 3, c_0101_10*c_0101_7 - 4/3*c_0101_10*c_1001_6 - 2/3*c_0101_12*c_1001_6 + 5/3*c_0101_9*c_1001_6 - 3*c_0101_10 + 2*c_0101_12 + 2*c_0101_9, c_0101_12*c_0101_7 + 2/3*c_0101_10*c_1001_6 - 2/3*c_0101_12*c_1001_6 + 2/3*c_0101_9*c_1001_6 + 4/3*c_0101_10 - 1/3*c_0101_12 - 8/3*c_0101_9, c_0101_5*c_0101_7 - c_0101_5 - c_0101_7 + c_0101_8 - c_1001_6 + 1, c_0101_7^2 - c_0101_1 - c_0101_12 + 1/2*c_0101_5 - 2*c_0101_7 + c_0101_8 + c_1001_6 - 3/2, c_0101_1*c_0101_8 - c_0101_5 - c_0101_7 + 2*c_0101_8 - c_1001_6 + 2, c_0101_10*c_0101_8 + 3*c_0101_10*c_1001_6 - 2*c_0101_12*c_1001_6 - 2*c_0101_9*c_1001_6 + 28/3*c_0101_10 - 4/3*c_0101_12 - 32/3*c_0101_9, c_0101_12*c_0101_8 - 4/3*c_0101_10*c_1001_6 + 1/3*c_0101_12*c_1001_6 + 8/3*c_0101_9*c_1001_6 - 16/3*c_0101_10 + 4/3*c_0101_12 + 8/3*c_0101_9, c_0101_5*c_0101_8 + 4*c_0101_1 - 2*c_0101_5 + 4*c_0101_7 - 4*c_0101_8 - 3*c_1001_6 + 10, c_0101_7*c_0101_8 + 3*c_0101_1 - 4/3*c_0101_10 - 2/3*c_0101_12 - c_0101_5 + 3*c_0101_7 - 7/2*c_0101_8 + 5/3*c_0101_9 - 3/2*c_1001_6 + 7, c_0101_8^2 - 8*c_0101_1 + 3*c_0101_10 - 2*c_0101_12 + c_0101_5 - 11*c_0101_7 + 9*c_0101_8 - 2*c_0101_9 + 3*c_1001_6 - 13, c_0101_1*c_0101_9 + c_0101_12 + c_0101_9, c_0101_5*c_0101_9 + 4/3*c_0101_10 + 2/3*c_0101_12 - 5/3*c_0101_9, c_0101_7*c_0101_9 - c_0101_12*c_1001_6 + 4/3*c_0101_10 + 2/3*c_0101_12 - 5/3*c_0101_9, c_0101_8*c_0101_9 - 4/3*c_0101_10*c_1001_6 - 2/3*c_0101_12*c_1001_6 + 5/3*c_0101_9*c_1001_6 - 8/3*c_0101_10 + 8/3*c_0101_12 + 4/3*c_0101_9, c_0101_1*c_1001_6 - c_0101_5 + c_0101_7 + c_1001_6, c_0101_5*c_1001_6 - 4*c_0101_1 + 2*c_0101_5 + c_0101_8 - 6, c_0101_7*c_1001_6 + c_0101_1 - c_0101_7 - 1/2*c_0101_8 - c_0101_9 - 1/2*c_1001_6 + 2, c_0101_8*c_1001_6 - c_0101_10 - c_0101_7, c_1001_6^2 + 4*c_0101_1 + 1/3*c_0101_10 + 2/3*c_0101_12 - 3*c_0101_5 + c_0101_7 - c_0101_8 - 2/3*c_0101_9 - 3*c_1001_6 + 7, c_0011_0 - 1, c_0011_10 + 1/3*c_0101_10 + 2/3*c_0101_12 - 2/3*c_0101_9, c_0011_4 - 1, c_0101_0 - c_0101_1 - 1, c_1001_0 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0101_9" ] ] 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: 0.010 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: 0.010 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: 0.000 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: 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: 0.030 ==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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_5, c_0101_7, c_0101_8, c_0101_9, c_1001_0, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 50/547*c_1001_6^5 - 92/547*c_1001_6^4 - 546/547*c_1001_6^3 + 897/547*c_1001_6^2 + 650/547*c_1001_6 - 293/547, c_0011_4 - 1, c_0101_0 + 236/547*c_1001_6^5 - 478/547*c_1001_6^4 - 2052/547*c_1001_6^3 + 4934/547*c_1001_6^2 - 1308/547*c_1001_6 + 630/547, c_0101_1 + 236/547*c_1001_6^5 - 478/547*c_1001_6^4 - 2052/547*c_1001_6^3 + 4934/547*c_1001_6^2 - 1308/547*c_1001_6 + 1177/547, c_0101_10 + 322/547*c_1001_6^5 - 680/547*c_1001_6^4 - 2466/547*c_1001_6^3 + 7177/547*c_1001_6^2 - 4566/547*c_1001_6 + 1045/547, c_0101_12 - 236/547*c_1001_6^5 + 478/547*c_1001_6^4 + 2052/547*c_1001_6^3 - 4934/547*c_1001_6^2 + 1308/547*c_1001_6 - 630/547, c_0101_5 - 272/547*c_1001_6^5 + 588/547*c_1001_6^4 + 1920/547*c_1001_6^3 - 6280/547*c_1001_6^2 + 5216/547*c_1001_6 - 1885/547, c_0101_7 - 266/547*c_1001_6^5 + 752/547*c_1001_6^4 + 1942/547*c_1001_6^3 - 7332/547*c_1001_6^2 + 5294/547*c_1001_6 - 1767/547, c_0101_8 + 1444/547*c_1001_6^5 - 2832/547*c_1001_6^4 - 11480/547*c_1001_6^3 + 29800/547*c_1001_6^2 - 14595/547*c_1001_6 + 5060/547, c_0101_9 - 1, c_1001_0 - 1, c_1001_6^6 - 2*c_1001_6^5 - 8*c_1001_6^4 + 21*c_1001_6^3 - 10*c_1001_6^2 + 3*c_1001_6 + 1/2 ] ==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: 0.950 seconds, Total memory usage: 32.09MB