Magma V2.19-8 Tue Aug 20 2013 16:17:02 on localhost [Seed = 1444399749] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1290 geometric_solution 5.18395161 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.385556032178 0.196542561444 0 0 2 2 0132 2310 2310 0132 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 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 1.351191781014 0.949085703987 3 1 1 4 0132 3201 0132 0132 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 0 0 0 -1 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 0.816508947972 0.192086675911 2 4 6 5 0132 0321 0132 0132 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 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 1.010422605238 0.784395657314 6 5 2 3 0132 1023 0132 0321 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 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 1.010422605238 0.784395657314 4 5 3 5 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.808086004173 1.004043793822 4 6 6 3 0132 3201 2310 0132 0 0 0 0 0 1 0 -1 0 0 -1 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 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 -0.010648001337 0.606473810188 ==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' : negation(d['1']), 's_2_1' : 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_1_6' : d['1'], 's_1_5' : 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' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : 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_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_1']), '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_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_4, c_0101_0, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 401595/1289659*c_0110_5^11 - 23863443/1289659*c_0110_5^9 + 213814415/1289659*c_0110_5^7 - 92909084/1289659*c_0110_5^5 + 43071341/1289659*c_0110_5^3 + 33576072/1289659*c_0110_5, c_0011_0 - 1, c_0011_2 + 596/44471*c_0110_5^10 - 34425/44471*c_0110_5^8 + 269684/44471*c_0110_5^6 - 159480/44471*c_0110_5^4 + 50695/44471*c_0110_5^2 + 12930/44471, c_0011_4 - 15401/44471*c_0110_5^11 + 751449/44471*c_0110_5^9 - 180553/44471*c_0110_5^7 + 90614/44471*c_0110_5^5 + 90474/44471*c_0110_5^3 + 23589/44471*c_0110_5, c_0101_0 + 12637/44471*c_0110_5^11 - 617468/44471*c_0110_5^9 + 193862/44471*c_0110_5^7 - 217152/44471*c_0110_5^5 - 101729/44471*c_0110_5^3 + 42100/44471*c_0110_5, c_0101_1 - 7256/44471*c_0110_5^10 + 350759/44471*c_0110_5^8 + 72652/44471*c_0110_5^6 + 112010/44471*c_0110_5^4 - 3546/44471*c_0110_5^2 + 22557/44471, c_0101_3 - 2211/44471*c_0110_5^10 + 118679/44471*c_0110_5^8 - 553656/44471*c_0110_5^6 + 179152/44471*c_0110_5^4 - 70545/44471*c_0110_5^2 - 36476/44471, c_0110_5^12 - 49*c_0110_5^10 + 22*c_0110_5^8 - 15*c_0110_5^6 - 7*c_0110_5^4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB