Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 694727973] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s543 geometric_solution 4.96563229 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 1 2 0 3201 0132 0132 2310 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 0 -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 -0.255811752122 0.908375351276 2 0 4 3 2310 0132 0132 0132 0 0 0 0 0 0 -1 1 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 -1 1 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 0.026170836845 1.734054102940 5 3 1 0 0132 3012 3201 0132 0 0 0 0 0 0 0 0 0 0 0 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 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 0.329499143141 0.557345093524 2 4 1 4 1230 3012 0132 1302 0 0 0 0 0 1 -1 0 1 0 0 -1 -1 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.130241100848 0.815472003899 3 5 3 1 1230 0321 2031 0132 0 0 0 0 0 0 -1 1 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 1 -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 0.460327197394 0.658738528913 2 5 5 4 0132 1230 3012 0321 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 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 0.199942733488 0.774429137797 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : 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' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0101_4'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_3'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0101_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_2, c_0011_3, c_0011_4, c_0101_0, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 77987165652/1812574741*c_0101_4^13 - 96648496428/1812574741*c_0101_4^12 + 1374909763841/1812574741*c_0101_4^11 + 895305611000/1812574741*c_0101_4^10 - 1915349373957/1812574741*c_0101_4^9 - 1146496803438/1812574741*c_0101_4^8 + 854982684345/1812574741*c_0101_4^7 - 245369876516/1812574741*c_0101_4^6 + 841257768164/1812574741*c_0101_4^5 - 348614488195/1812574741*c_0101_4^4 - 495411871292/1812574741*c_0101_4^3 + 879215858071/1812574741*c_0101_4^2 - 554581705666/1812574741*c_0101_4 + 130582588791/1812574741, c_0011_0 - 1, c_0011_2 - 99741069828/1812574741*c_0101_4^13 + 277130606367/1812574741*c_0101_4^12 + 497438434378/1812574741*c_0101_4^11 - 345484797877/1812574741*c_0101_4^10 - 623500748458/1812574741*c_0101_4^9 + 134671673260/1812574741*c_0101_4^8 + 20034612093/1812574741*c_0101_4^7 + 208621114724/1812574741*c_0101_4^6 + 62030076807/1812574741*c_0101_4^5 - 241978127611/1812574741*c_0101_4^4 + 208247499201/1812574741*c_0101_4^3 - 39331514910/1812574741*c_0101_4^2 - 46756908242/1812574741*c_0101_4 + 19397309935/1812574741, c_0011_3 - 40581954630/1812574741*c_0101_4^13 + 110776412994/1812574741*c_0101_4^12 + 206673950078/1812574741*c_0101_4^11 - 129414945191/1812574741*c_0101_4^10 - 251541309902/1812574741*c_0101_4^9 + 53566517780/1812574741*c_0101_4^8 + 17661108121/1812574741*c_0101_4^7 + 86028805395/1812574741*c_0101_4^6 + 21693605233/1812574741*c_0101_4^5 - 103547803567/1812574741*c_0101_4^4 + 77075217267/1812574741*c_0101_4^3 - 15331141017/1812574741*c_0101_4^2 - 18459334968/1812574741*c_0101_4 + 7034666508/1812574741, c_0011_4 + 45970164351/1812574741*c_0101_4^13 - 138769518777/1812574741*c_0101_4^12 - 208599430766/1812574741*c_0101_4^11 + 235175439206/1812574741*c_0101_4^10 + 313119320541/1812574741*c_0101_4^9 - 120027500006/1812574741*c_0101_4^8 - 48684814448/1812574741*c_0101_4^7 - 118920158439/1812574741*c_0101_4^6 - 19315968904/1812574741*c_0101_4^5 + 133037120762/1812574741*c_0101_4^4 - 109396751117/1812574741*c_0101_4^3 + 25031329567/1812574741*c_0101_4^2 + 25305209336/1812574741*c_0101_4 - 11612724380/1812574741, c_0101_0 + 127028114352/1812574741*c_0101_4^13 - 355525111656/1812574741*c_0101_4^12 - 629718907398/1812574741*c_0101_4^11 + 457757118707/1812574741*c_0101_4^10 + 811037589049/1812574741*c_0101_4^9 - 170750326495/1812574741*c_0101_4^8 - 39014425208/1812574741*c_0101_4^7 - 284049895104/1812574741*c_0101_4^6 - 79358227647/1812574741*c_0101_4^5 + 315428598842/1812574741*c_0101_4^4 - 263093512962/1812574741*c_0101_4^3 + 53318884899/1812574741*c_0101_4^2 + 56819282046/1812574741*c_0101_4 - 24368206071/1812574741, c_0101_4^14 - 10/3*c_0101_4^13 - 31/9*c_0101_4^12 + 56/9*c_0101_4^11 + 13/3*c_0101_4^10 - 43/9*c_0101_4^9 + 5/9*c_0101_4^8 - 2*c_0101_4^7 + 5/9*c_0101_4^6 + 25/9*c_0101_4^5 - 31/9*c_0101_4^4 + 14/9*c_0101_4^3 + 2/9*c_0101_4^2 - 4/9*c_0101_4 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB