Magma V2.19-8 Wed Aug 21 2013 00:57:07 on localhost [Seed = 3019221346] Type ? for help. Type -D to quit. Loading file "L13n3767__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3767 geometric_solution 12.60861626 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1023 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 0 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 0.588317815301 0.854891568773 0 4 6 5 0132 0132 0132 0132 1 1 1 1 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598288888037 1.170920950348 4 0 7 0 3120 0132 0132 1023 1 1 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 1 0 -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 0.588317815301 0.854891568773 8 6 7 0 0132 1023 0321 0132 1 1 1 1 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 -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 0.598288888037 1.170920950348 6 1 9 2 1302 0132 0132 3120 1 1 1 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 0 0 0 0 0 0 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 0.653969348293 0.677222237699 10 10 1 11 0132 1230 0132 0132 1 1 0 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 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 0.399672555374 0.670675337513 3 4 7 1 1023 2031 2310 0132 1 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 -1 1 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 -0.411682184699 0.854891568773 11 6 3 2 3201 3201 0321 0132 1 1 1 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 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 0.598288888037 1.170920950348 3 9 9 12 0132 3012 1023 0132 1 1 1 1 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 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 0.399672555374 0.670675337513 8 10 8 4 1230 1302 1023 0132 1 1 1 1 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740963458123 0.827791435841 5 12 5 9 0132 0132 3012 2031 1 1 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 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 0.344308460153 1.100291072978 12 12 5 7 0132 1302 0132 2310 1 1 1 0 0 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 1 0 -1 0 0 0 0 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399672555374 0.670675337513 11 10 8 11 0132 0132 0132 2031 1 1 0 1 0 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 1 0 -1 0 0 1 -1 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740963458123 0.827791435841 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0011_9'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0110_2']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0110_2'], 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0101_2']), 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : negation(d['c_1001_4']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_2'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0110_2'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0011_9'], 'c_1100_8' : d['c_0101_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_2'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0110_2'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_6, c_0110_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 4*c_1001_4, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 - 1/2*c_1001_4 + 1, c_0011_7 - 1/2*c_1001_4 + 1, c_0011_9 - 1/2*c_1001_4 + 1, c_0101_0 - 1/2*c_1001_4, c_0101_1 + 1/2*c_1001_4, c_0101_10 + c_1001_4 - 1, c_0101_12 + c_1001_4, c_0101_2 - 1/2*c_1001_4, c_0101_6 - c_1001_4 + 1, c_0110_2 + 1/2*c_1001_4, c_1001_4^2 - 2*c_1001_4 + 2 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_6, c_0110_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 5336053/32375*c_1001_4^5 - 16491992/32375*c_1001_4^4 - 41643781/32375*c_1001_4^3 + 80773946/32375*c_1001_4^2 - 21650838/6475*c_1001_4 + 154432674/32375, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 - 51/1295*c_1001_4^5 - 46/259*c_1001_4^4 - 648/1295*c_1001_4^3 + 183/1295*c_1001_4^2 - 618/1295*c_1001_4 + 110/259, c_0011_7 - 51/1295*c_1001_4^5 - 46/259*c_1001_4^4 - 648/1295*c_1001_4^3 + 183/1295*c_1001_4^2 - 618/1295*c_1001_4 + 110/259, c_0011_9 + 1/259*c_1001_4^5 - 13/1295*c_1001_4^4 - 33/259*c_1001_4^3 - 95/259*c_1001_4^2 - 107/1295*c_1001_4 + 40/259, c_0101_0 + 3/1295*c_1001_4^5 + 44/1295*c_1001_4^4 + 32/259*c_1001_4^3 + 492/1295*c_1001_4^2 - 634/1295*c_1001_4 + 24/259, c_0101_1 + 134/1295*c_1001_4^5 + 584/1295*c_1001_4^4 + 1794/1295*c_1001_4^3 + 44/259*c_1001_4^2 + 535/259*c_1001_4 + 36/259, c_0101_10 + 30/259*c_1001_4^5 + 646/1295*c_1001_4^4 + 2043/1295*c_1001_4^3 + 513/1295*c_1001_4^2 + 4042/1295*c_1001_4 - 95/259, c_0101_12 + c_1001_4, c_0101_2 + 3/1295*c_1001_4^5 + 44/1295*c_1001_4^4 + 32/259*c_1001_4^3 + 492/1295*c_1001_4^2 - 634/1295*c_1001_4 + 24/259, c_0101_6 - 128/1295*c_1001_4^5 - 496/1295*c_1001_4^4 - 1474/1295*c_1001_4^3 + 764/1295*c_1001_4^2 - 2648/1295*c_1001_4 + 271/259, c_0110_2 + 134/1295*c_1001_4^5 + 584/1295*c_1001_4^4 + 1794/1295*c_1001_4^3 + 44/259*c_1001_4^2 + 535/259*c_1001_4 + 36/259, c_1001_4^6 + 4*c_1001_4^5 + 12*c_1001_4^4 - 2*c_1001_4^3 + 25*c_1001_4^2 - 8*c_1001_4 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.670 Total time: 0.880 seconds, Total memory usage: 32.09MB