Magma V2.19-8 Tue Aug 20 2013 16:16:37 on localhost [Seed = 71669981] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0915 geometric_solution 4.80895558 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 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 -1 0 1 1 0 -1 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621590066876 0.222927888845 3 2 4 0 0132 3012 0132 0132 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 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 0.588220853339 0.350055724677 1 3 0 5 1230 3201 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 -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 0.588220853339 0.350055724677 1 4 2 5 0132 1230 2310 2103 0 0 0 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 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 0.508028381625 3.194342614057 6 5 3 1 0132 1023 3012 0132 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 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 1.327393412094 1.137525432473 4 6 2 3 1023 3201 0132 2103 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 -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 1.327393412094 1.137525432473 4 6 5 6 0132 2310 2310 3201 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 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 -0.434365383527 0.372234535930 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_2_0' : 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' : 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' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0101_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_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' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_1'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 314617/13329*c_0101_4^8 - 1310987/13329*c_0101_4^7 - 2068382/4443*c_0101_4^6 - 1483144/1481*c_0101_4^5 - 14070307/13329*c_0101_4^4 - 3176999/13329*c_0101_4^3 + 5635466/13329*c_0101_4^2 + 1298135/13329*c_0101_4 - 1848487/13329, c_0011_0 - 1, c_0011_1 + 321/1481*c_0101_4^8 + 1156/1481*c_0101_4^7 + 5961/1481*c_0101_4^6 + 11277/1481*c_0101_4^5 + 13152/1481*c_0101_4^4 + 5582/1481*c_0101_4^3 + 1296/1481*c_0101_4^2 + 804/1481*c_0101_4 - 886/1481, c_0011_2 + 321/1481*c_0101_4^8 + 1156/1481*c_0101_4^7 + 5961/1481*c_0101_4^6 + 11277/1481*c_0101_4^5 + 13152/1481*c_0101_4^4 + 5582/1481*c_0101_4^3 + 1296/1481*c_0101_4^2 + 804/1481*c_0101_4 - 886/1481, c_0011_4 + 1/13329*c_0101_4^8 - 670/13329*c_0101_4^7 - 529/4443*c_0101_4^6 - 1108/1481*c_0101_4^5 - 9980/13329*c_0101_4^4 - 4624/13329*c_0101_4^3 + 10897/13329*c_0101_4^2 + 13027/13329*c_0101_4 - 9710/13329, c_0101_0 - 3619/13329*c_0101_4^8 - 14477/13329*c_0101_4^7 - 22697/4443*c_0101_4^6 - 15506/1481*c_0101_4^5 - 123931/13329*c_0101_4^4 + 6361/13329*c_0101_4^3 + 84242/13329*c_0101_4^2 - 40/13329*c_0101_4 - 21412/13329, c_0101_1 - 6091/13329*c_0101_4^8 - 24362/13329*c_0101_4^7 - 39023/4443*c_0101_4^6 - 26747/1481*c_0101_4^5 - 245311/13329*c_0101_4^4 - 26051/13329*c_0101_4^3 + 124754/13329*c_0101_4^2 + 40067/13329*c_0101_4 - 23821/13329, c_0101_4^9 + 4*c_0101_4^8 + 19*c_0101_4^7 + 39*c_0101_4^6 + 37*c_0101_4^5 + c_0101_4^4 - 22*c_0101_4^3 - 3*c_0101_4^2 + 6*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB