Magma V2.19-8 Tue Aug 20 2013 16:16:52 on localhost [Seed = 2033771943] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1129 geometric_solution 4.99592964 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416461678015 0.643887447561 0 4 4 0 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.404710554886 0.310788468184 5 3 6 0 0132 3012 0132 0132 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.988557792621 0.590871157495 2 5 0 6 1230 3201 0132 3201 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 -1 0 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 0.988557792621 0.590871157495 4 1 1 4 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.210564382879 0.348889321516 2 6 3 6 0132 2031 2310 1302 0 0 0 0 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.474250749889 0.861237785679 5 3 5 2 1302 2310 2031 0132 0 0 0 0 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 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474250749889 0.861237785679 ==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' : negation(d['1']), 's_2_3' : 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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 1930051/3344*c_0101_4^14 - 4874635/3344*c_0101_4^13 + 15778973/1672*c_0101_4^12 + 10315333/836*c_0101_4^11 - 154274459/3344*c_0101_4^10 - 3755265/176*c_0101_4^9 + 25673007/304*c_0101_4^8 + 22178457/1672*c_0101_4^7 - 25088615/352*c_0101_4^6 - 15325347/6688*c_0101_4^5 + 99831189/3344*c_0101_4^4 - 289053/836*c_0101_4^3 - 40520685/6688*c_0101_4^2 + 656087/6688*c_0101_4 + 3191237/6688, c_0011_0 - 1, c_0011_2 - 340*c_0101_2*c_0101_4^14 + 866*c_0101_2*c_0101_4^13 - 5548*c_0101_2*c_0101_4^12 - 7217*c_0101_2*c_0101_4^11 + 27804*c_0101_2*c_0101_4^10 + 12736*c_0101_2*c_0101_4^9 - 52151*c_0101_2*c_0101_4^8 - 8274*c_0101_2*c_0101_4^7 + 45902*c_0101_2*c_0101_4^6 + 1733*c_0101_2*c_0101_4^5 - 20504*c_0101_2*c_0101_4^4 + 319/2*c_0101_2*c_0101_4^3 + 4498*c_0101_2*c_0101_4^2 - 66*c_0101_2*c_0101_4 - 769/2*c_0101_2, c_0011_6 - 290*c_0101_4^14 + 716*c_0101_4^13 - 4664*c_0101_4^12 - 6556*c_0101_4^11 + 23416*c_0101_4^10 + 12866*c_0101_4^9 - 44566*c_0101_4^8 - 10572*c_0101_4^7 + 40283*c_0101_4^6 + 4150*c_0101_4^5 - 18708*c_0101_4^4 - 766*c_0101_4^3 + 4316*c_0101_4^2 + 53*c_0101_4 - 391, c_0101_0 + 26*c_0101_4^14 - 56*c_0101_4^13 + 400*c_0101_4^12 + 716*c_0101_4^11 - 1884*c_0101_4^10 - 1744*c_0101_4^9 + 3510*c_0101_4^8 + 2006*c_0101_4^7 - 3107*c_0101_4^6 - 1238*c_0101_4^5 + 1404*c_0101_4^4 + 402*c_0101_4^3 - 312*c_0101_4^2 - 53*c_0101_4 + 27, c_0101_1 + 2*c_0101_4^14 - 4*c_0101_4^13 + 30*c_0101_4^12 + 60*c_0101_4^11 - 138*c_0101_4^10 - 160*c_0101_4^9 + 256*c_0101_4^8 + 206*c_0101_4^7 - 227*c_0101_4^6 - 146*c_0101_4^5 + 103*c_0101_4^4 + 58*c_0101_4^3 - 23*c_0101_4^2 - 11*c_0101_4 + 2, c_0101_2^2 - 3930*c_0101_4^14 + 9726*c_0101_4^13 - 63588*c_0101_4^12 - 87674*c_0101_4^11 + 312506*c_0101_4^10 + 165332*c_0101_4^9 - 580410*c_0101_4^8 - 127376*c_0101_4^7 + 504659*c_0101_4^6 + 44991*c_0101_4^5 - 222384*c_0101_4^4 - 6978*c_0101_4^3 + 48051*c_0101_4^2 + 351*c_0101_4 - 4041, c_0101_4^15 - 2*c_0101_4^14 + 15*c_0101_4^13 + 30*c_0101_4^12 - 69*c_0101_4^11 - 80*c_0101_4^10 + 128*c_0101_4^9 + 103*c_0101_4^8 - 227/2*c_0101_4^7 - 73*c_0101_4^6 + 103/2*c_0101_4^5 + 29*c_0101_4^4 - 23/2*c_0101_4^3 - 6*c_0101_4^2 + c_0101_4 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB