Magma V2.19-8 Tue Aug 20 2013 16:16:54 on localhost [Seed = 4004475443] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1162 geometric_solution 5.03913605 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 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 1 0 -1 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 0.432771643260 0.301706020003 0 3 2 4 0132 0132 1230 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 0.445045140079 1.084034153756 3 0 4 1 3201 0132 0132 3012 0 0 0 0 0 1 -1 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 -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 0.445045140079 1.084034153756 5 1 5 2 0132 0132 2310 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 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 0.372012431905 2.098066827900 4 4 1 2 1230 3012 0132 0132 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 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 0.900067848413 1.170636136552 3 3 6 6 0132 3201 3201 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 0 -1 -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 0.263646274858 0.151407343597 5 6 5 6 2310 2310 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.752347111113 0.467376866271 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 1683281/85643*c_0110_2^15 - 26389135/85643*c_0110_2^13 + 100896275/85643*c_0110_2^11 - 70181119/85643*c_0110_2^9 + 99382952/85643*c_0110_2^7 - 41533692/85643*c_0110_2^5 + 31940099/85643*c_0110_2^3 - 5916676/85643*c_0110_2, c_0011_0 - 1, c_0011_4 - 153403/85643*c_0110_2^15 + 2420721/85643*c_0110_2^13 - 9443392/85643*c_0110_2^11 + 7347391/85643*c_0110_2^9 - 9643470/85643*c_0110_2^7 + 4296976/85643*c_0110_2^5 - 3084165/85643*c_0110_2^3 + 644386/85643*c_0110_2, c_0011_6 - 85221/85643*c_0110_2^14 + 1342717/85643*c_0110_2^12 - 5217646/85643*c_0110_2^10 + 4023060/85643*c_0110_2^8 - 5533911/85643*c_0110_2^6 + 2465966/85643*c_0110_2^4 - 1840077/85643*c_0110_2^2 + 408231/85643, c_0101_0 + 22868/85643*c_0110_2^14 - 368525/85643*c_0110_2^12 + 1524965/85643*c_0110_2^10 - 1508498/85643*c_0110_2^8 + 1580648/85643*c_0110_2^6 - 987350/85643*c_0110_2^4 + 486481/85643*c_0110_2^2 - 142475/85643, c_0101_1 - 112284/85643*c_0110_2^14 + 1764311/85643*c_0110_2^12 - 6790741/85643*c_0110_2^10 + 4882711/85643*c_0110_2^8 - 6647934/85643*c_0110_2^6 + 2934802/85643*c_0110_2^4 - 2143827/85643*c_0110_2^2 + 470515/85643, c_0101_3 - 108089/85643*c_0110_2^15 + 1711242/85643*c_0110_2^13 - 6742611/85643*c_0110_2^11 + 5531558/85643*c_0110_2^9 - 7114559/85643*c_0110_2^7 + 3453316/85643*c_0110_2^5 - 2412201/85643*c_0110_2^3 + 636349/85643*c_0110_2, c_0110_2^16 - 16*c_0110_2^14 + 65*c_0110_2^12 - 61*c_0110_2^10 + 72*c_0110_2^8 - 42*c_0110_2^6 + 26*c_0110_2^4 - 9*c_0110_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB