Magma V2.19-8 Tue Aug 20 2013 16:17:41 on localhost [Seed = 1242289829] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1915 geometric_solution 5.52030806 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 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 -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 0.317845598988 0.948279986956 0 1 0 1 0132 2310 2310 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 -0.811674930600 0.583997819601 4 3 5 0 0132 3012 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 1 -1 -1 0 0 1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.381791528006 0.755600071157 2 6 0 5 1230 0132 0132 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 -2 1 1 1 0 -1 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 1.381791528006 0.755600071157 2 6 5 6 0132 2031 0321 3012 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 0 -1 0 0 1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457593145365 0.594213154622 6 3 4 2 3012 2310 0321 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 1 0 -1 2 0 -2 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 0.481220361731 0.344577664652 4 3 4 5 1302 0132 1230 1230 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 2 0 -2 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 0.457593145365 0.594213154622 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(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_0101_2'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_1001_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_1001_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_1001_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1415364856158/9853974709*c_1001_5^9 - 34592439203/428433683*c_1001_5^8 + 240121654905/9853974709*c_1001_5^7 - 2942648652514/9853974709*c_1001_5^6 - 11723782374585/9853974709*c_1001_5^5 - 3866556264987/9853974709*c_1001_5^4 - 5332143206789/9853974709*c_1001_5^3 - 1747953761240/9853974709*c_1001_5^2 + 1030402523270/9853974709*c_1001_5 - 74466681687/9853974709, c_0011_0 - 1, c_0011_2 + 16301685917/9853974709*c_1001_5^9 - 432146088/428433683*c_1001_5^8 + 6218353585/9853974709*c_1001_5^7 - 38567065410/9853974709*c_1001_5^6 - 129871163229/9853974709*c_1001_5^5 - 45459880023/9853974709*c_1001_5^4 - 75397751482/9853974709*c_1001_5^3 - 6744514268/9853974709*c_1001_5^2 - 2063233185/9853974709*c_1001_5 + 2264280566/9853974709, c_0011_5 - 945205019/9853974709*c_1001_5^9 + 26626502/428433683*c_1001_5^8 + 4372076430/9853974709*c_1001_5^7 - 1213408077/9853974709*c_1001_5^6 + 8770286748/9853974709*c_1001_5^5 - 7784806523/9853974709*c_1001_5^4 - 36140317993/9853974709*c_1001_5^3 - 4468982881/9853974709*c_1001_5^2 - 16615342426/9853974709*c_1001_5 + 812340222/9853974709, c_0101_0 - 15241203879/9853974709*c_1001_5^9 + 425678962/428433683*c_1001_5^8 - 746995452/9853974709*c_1001_5^7 + 27759651529/9853974709*c_1001_5^6 + 127236808490/9853974709*c_1001_5^5 + 24625910311/9853974709*c_1001_5^4 + 40628614114/9853974709*c_1001_5^3 + 21240815055/9853974709*c_1001_5^2 - 21750561872/9853974709*c_1001_5 - 146220112/9853974709, c_0101_1 - 19533945068/9853974709*c_1001_5^9 + 826608781/428433683*c_1001_5^8 - 7524229777/9853974709*c_1001_5^7 + 42248991737/9853974709*c_1001_5^6 + 142661376991/9853974709*c_1001_5^5 - 9677307927/9853974709*c_1001_5^4 + 45447302904/9853974709*c_1001_5^3 - 6508591872/9853974709*c_1001_5^2 - 20432366551/9853974709*c_1001_5 - 2144502423/9853974709, c_0101_2 - c_1001_5, c_1001_5^10 - 7/11*c_1001_5^9 + 2/11*c_1001_5^8 - 23/11*c_1001_5^7 - 89/11*c_1001_5^6 - 23/11*c_1001_5^5 - 36/11*c_1001_5^4 - 9/11*c_1001_5^3 + 8/11*c_1001_5^2 - 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB