Magma V2.19-8 Tue Aug 20 2013 16:18:23 on localhost [Seed = 1225315431] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2587 geometric_solution 5.88092461 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 -1 0 1 0 0 -1 1 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 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 0 0 0 0.566934738587 0.286119884862 0 2 4 3 0132 0213 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 -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 0.388589189244 0.506379310073 5 4 1 0 0132 1023 0213 0132 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 1 -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 0.388589189244 0.506379310073 5 6 1 5 2310 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.435049333998 1.670632515597 2 6 6 1 1023 1230 2103 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 0.616918446349 1.321225863349 2 3 3 6 0132 1302 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.435049333998 1.670632515597 4 3 4 5 2103 0132 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343732301520 0.487354135181 ==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' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0110_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_6']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_0']), '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_2'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_3, c_0101_0, c_0101_1, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 59*c_0110_6^4 + 152*c_0110_6^3 - 209*c_0110_6^2 - 241*c_0110_6 + 105, c_0011_0 - 1, c_0011_2 + c_0110_6, c_0011_3 - 2*c_0110_6^4 - 5*c_0110_6^3 + 8*c_0110_6^2 + 8*c_0110_6 - 5, c_0101_0 - 2*c_0110_6^4 - 5*c_0110_6^3 + 7*c_0110_6^2 + 7*c_0110_6 - 4, c_0101_1 + c_0110_6^4 + 2*c_0110_6^3 - 5*c_0110_6^2 - 3*c_0110_6 + 3, c_0101_4 - c_0110_6^4 - 2*c_0110_6^3 + 5*c_0110_6^2 + 3*c_0110_6 - 3, c_0110_6^5 + 2*c_0110_6^4 - 5*c_0110_6^3 - 2*c_0110_6^2 + 4*c_0110_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 5731/63*c_0110_6^10 - 5515/42*c_0110_6^9 + 23819/63*c_0110_6^8 + 866/7*c_0110_6^7 - 84811/126*c_0110_6^6 + 124840/63*c_0110_6^5 - 109307/42*c_0110_6^4 + 107993/42*c_0110_6^3 - 139466/63*c_0110_6^2 + 20164/21*c_0110_6 - 15877/126, c_0011_0 - 1, c_0011_2 + c_0110_6, c_0011_3 + 22*c_0110_6^10 - 27*c_0110_6^9 + 88*c_0110_6^8 + 47*c_0110_6^7 - 144*c_0110_6^6 + 457*c_0110_6^5 - 543*c_0110_6^4 + 549*c_0110_6^3 - 456*c_0110_6^2 + 175*c_0110_6 - 22, c_0101_0 + 51*c_0110_6^10 - 68*c_0110_6^9 + 209*c_0110_6^8 + 89*c_0110_6^7 - 351*c_0110_6^6 + 1090*c_0110_6^5 - 1360*c_0110_6^4 + 1376*c_0110_6^3 - 1161*c_0110_6^2 + 489*c_0110_6 - 73, c_0101_1 + 37*c_0110_6^10 - 53*c_0110_6^9 + 155*c_0110_6^8 + 51*c_0110_6^7 - 267*c_0110_6^6 + 811*c_0110_6^5 - 1057*c_0110_6^4 + 1065*c_0110_6^3 - 912*c_0110_6^2 + 407*c_0110_6 - 65, c_0101_4 + 39*c_0110_6^10 - 56*c_0110_6^9 + 164*c_0110_6^8 + 53*c_0110_6^7 - 280*c_0110_6^6 + 858*c_0110_6^5 - 1118*c_0110_6^4 + 1135*c_0110_6^3 - 969*c_0110_6^2 + 440*c_0110_6 - 73, c_0110_6^11 - 2*c_0110_6^10 + 5*c_0110_6^9 - c_0110_6^8 - 8*c_0110_6^7 + 26*c_0110_6^6 - 41*c_0110_6^5 + 45*c_0110_6^4 - 41*c_0110_6^3 + 25*c_0110_6^2 - 8*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB