Magma V2.19-8 Tue Aug 20 2013 16:16:16 on localhost [Seed = 374835956] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0526 geometric_solution 4.53909106 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 -1 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 -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 0.554985063372 0.421892653087 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 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 -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 1.303074664729 0.446195954651 1 3 3 4 0132 1230 3012 0132 0 0 0 0 0 -1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.106678324271 0.629656299219 4 2 2 1 0132 1230 3012 0132 0 0 0 0 0 -1 0 1 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 -1 0 1 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 1.106678324271 0.629656299219 3 5 2 5 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 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 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 1.325867178011 0.333669653369 4 4 6 6 3201 0132 0132 3201 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490769047814 0.365248911911 6 5 6 5 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.213652758856 0.402059088683 ==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' : 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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], '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' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : d['c_0011_1'], '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_0101_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_6, c_0101_0, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 6028889613/84843656*c_0110_5^9 + 44785479983/42421828*c_0110_5^8 - 66240534983/10605457*c_0110_5^7 + 1511766563727/84843656*c_0110_5^6 - 2146181091571/84843656*c_0110_5^5 + 732460076309/42421828*c_0110_5^4 - 43209799098/10605457*c_0110_5^3 - 421603949129/84843656*c_0110_5^2 + 431962245429/84843656*c_0110_5 - 79917366953/84843656, c_0011_0 - 1, c_0011_1 + 16035/21210914*c_0110_5^9 + 421611/10605457*c_0110_5^8 - 5827916/10605457*c_0110_5^7 + 52821185/21210914*c_0110_5^6 - 82509349/21210914*c_0110_5^5 + 6957478/10605457*c_0110_5^4 + 17304063/10605457*c_0110_5^3 - 27193999/21210914*c_0110_5^2 + 30255099/21210914*c_0110_5 + 6519771/21210914, c_0011_6 + 501115/10605457*c_0110_5^9 - 7428907/10605457*c_0110_5^8 + 43287641/10605457*c_0110_5^7 - 117813078/10605457*c_0110_5^6 + 144909883/10605457*c_0110_5^5 - 61813206/10605457*c_0110_5^4 - 12300407/10605457*c_0110_5^3 + 40093850/10605457*c_0110_5^2 - 13175738/10605457*c_0110_5 - 4101584/10605457, c_0101_0 - 2134183/21210914*c_0110_5^9 + 16006637/10605457*c_0110_5^8 - 95645347/10605457*c_0110_5^7 + 551661953/21210914*c_0110_5^6 - 788914329/21210914*c_0110_5^5 + 268713207/10605457*c_0110_5^4 - 57750368/10605457*c_0110_5^3 - 198581877/21210914*c_0110_5^2 + 182993683/21210914*c_0110_5 - 26401763/21210914, c_0101_1 + 388528/10605457*c_0110_5^9 - 5940507/10605457*c_0110_5^8 + 36455920/10605457*c_0110_5^7 - 109014585/10605457*c_0110_5^6 + 160324413/10605457*c_0110_5^5 - 96870062/10605457*c_0110_5^4 - 1643448/10605457*c_0110_5^3 + 35911279/10605457*c_0110_5^2 - 36041867/10605457*c_0110_5 + 6892401/10605457, c_0101_3 - 2960777/21210914*c_0110_5^9 + 21622835/10605457*c_0110_5^8 - 124952821/10605457*c_0110_5^7 + 686238175/21210914*c_0110_5^6 - 912716037/21210914*c_0110_5^5 + 275130116/10605457*c_0110_5^4 - 37928586/10605457*c_0110_5^3 - 201727279/21210914*c_0110_5^2 + 157882017/21210914*c_0110_5 - 17196365/21210914, c_0110_5^10 - 15*c_0110_5^9 + 90*c_0110_5^8 - 263*c_0110_5^7 + 390*c_0110_5^6 - 289*c_0110_5^5 + 86*c_0110_5^4 + 65*c_0110_5^3 - 82*c_0110_5^2 + 22*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB