Magma V2.19-8 Tue Aug 20 2013 16:14:29 on localhost [Seed = 2244221313] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s469 geometric_solution 4.83804936 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 1 0132 0132 1230 2031 0 0 0 0 0 -1 0 1 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 0 1 -1 -1 0 1 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 0.345930060521 0.703847662549 0 0 4 3 0132 1302 0132 0132 0 0 0 0 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 0 0 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437575324996 1.144339096361 4 0 3 0 1230 0132 1302 3012 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 0 0 0 1 0 0 -1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708474383226 0.762392534057 2 4 1 5 2031 3012 0132 0132 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 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 0.722291394178 1.669155651034 3 2 5 1 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 0 0 0 -1 0 1 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 -1.594023177841 1.556927607794 5 5 3 4 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 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 0.004741729804 0.201356744555 ==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' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0011_0'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 53799/101224*c_1100_1^8 - 149237/101224*c_1100_1^7 - 89635/101224*c_1100_1^6 + 686045/101224*c_1100_1^5 - 1185379/101224*c_1100_1^4 - 1120343/50612*c_1100_1^3 + 1418429/101224*c_1100_1^2 - 320859/50612*c_1100_1 - 1664117/50612, c_0011_0 - 1, c_0011_3 + 8977/202448*c_1100_1^8 - 12263/50612*c_1100_1^7 + 81175/202448*c_1100_1^6 + 18639/101224*c_1100_1^5 - 395955/202448*c_1100_1^4 + 395455/202448*c_1100_1^3 + 31323/25306*c_1100_1^2 - 86009/25306*c_1100_1 + 23435/12653, c_0011_4 + 8951/101224*c_1100_1^8 - 9245/25306*c_1100_1^7 + 36789/101224*c_1100_1^6 + 30701/50612*c_1100_1^5 - 291921/101224*c_1100_1^4 + 38385/101224*c_1100_1^3 + 41115/25306*c_1100_1^2 - 99079/25306*c_1100_1 + 5649/12653, c_0011_5 - 2247/202448*c_1100_1^8 + 1925/50612*c_1100_1^7 - 3089/202448*c_1100_1^6 - 14577/101224*c_1100_1^5 + 85173/202448*c_1100_1^4 + 49271/202448*c_1100_1^3 - 18155/25306*c_1100_1^2 + 16539/25306*c_1100_1 + 9420/12653, c_0101_0 + 5507/202448*c_1100_1^8 - 4639/50612*c_1100_1^7 + 8877/202448*c_1100_1^6 + 24441/101224*c_1100_1^5 - 188337/202448*c_1100_1^4 + 4165/202448*c_1100_1^3 + 4379/25306*c_1100_1^2 - 27793/12653*c_1100_1 + 4314/12653, c_1100_1^9 - 3*c_1100_1^8 - c_1100_1^7 + 13*c_1100_1^6 - 25*c_1100_1^5 - 36*c_1100_1^4 + 35*c_1100_1^3 - 20*c_1100_1^2 - 56*c_1100_1 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB