Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 3600239323] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s540 geometric_solution 4.95907411 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 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 1 0 -1 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 0.445327657733 0.441139310261 0 3 2 4 0132 0132 1230 0132 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 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.866621800706 1.122718673361 3 0 4 1 3201 0132 2310 3012 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 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 0.866621800706 1.122718673361 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.234989604697 0.858991918290 5 2 1 5 0132 3201 0132 1023 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 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 0.728144085372 0.552930086918 4 5 5 4 0132 1230 3012 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.633579000210 0.522001659540 ==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_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_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_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 3225260203/2985423055*c_0101_5^12 + 13142627156/2985423055*c_0101_5^11 + 31111319428/2985423055*c_0101_5^10 - 53074371454/2985423055*c_0101_5^9 - 30655182577/2985423055*c_0101_5^8 - 74283455967/2985423055*c_0101_5^7 - 81760499746/2985423055*c_0101_5^6 + 102165498488/597084611*c_0101_5^5 - 166548897966/2985423055*c_0101_5^4 - 344325169863/2985423055*c_0101_5^3 + 233982023849/2985423055*c_0101_5^2 - 11899630204/2985423055*c_0101_5 - 31165923512/2985423055, c_0011_0 - 1, c_0011_4 - 1049400638/2985423055*c_0101_5^12 + 6082290886/2985423055*c_0101_5^11 - 806850432/2985423055*c_0101_5^10 - 12935642799/2985423055*c_0101_5^9 + 10606484433/2985423055*c_0101_5^8 - 48630580227/2985423055*c_0101_5^7 + 62384575154/2985423055*c_0101_5^6 + 6877317853/597084611*c_0101_5^5 - 71877939986/2985423055*c_0101_5^4 + 20780902792/2985423055*c_0101_5^3 + 14113254684/2985423055*c_0101_5^2 - 8157621224/2985423055*c_0101_5 - 2749659457/2985423055, c_0101_0 + 173810013/597084611*c_0101_5^12 - 1093770587/597084611*c_0101_5^11 + 591374894/597084611*c_0101_5^10 + 2266831590/597084611*c_0101_5^9 - 2563090590/597084611*c_0101_5^8 + 8535355164/597084611*c_0101_5^7 - 14320902496/597084611*c_0101_5^6 - 2169808693/597084611*c_0101_5^5 + 14761851898/597084611*c_0101_5^4 - 6378307312/597084611*c_0101_5^3 - 2168788774/597084611*c_0101_5^2 + 1640177232/597084611*c_0101_5 + 499138471/597084611, c_0101_1 + 909489668/2985423055*c_0101_5^12 - 5395676431/2985423055*c_0101_5^11 + 1708482157/2985423055*c_0101_5^10 + 9816236194/2985423055*c_0101_5^9 - 12037175253/2985423055*c_0101_5^8 + 44292764947/2985423055*c_0101_5^7 - 60900992404/2985423055*c_0101_5^6 - 1763107762/597084611*c_0101_5^5 + 65091276346/2985423055*c_0101_5^4 - 29955746442/2985423055*c_0101_5^3 - 8017944224/2985423055*c_0101_5^2 + 6792435754/2985423055*c_0101_5 + 577241652/2985423055, c_0101_2 - 157482684/2985423055*c_0101_5^12 + 965718078/2985423055*c_0101_5^11 - 498639051/2985423055*c_0101_5^10 - 1739039717/2985423055*c_0101_5^9 + 3351387079/2985423055*c_0101_5^8 - 7700185646/2985423055*c_0101_5^7 + 11104110757/2985423055*c_0101_5^6 - 62711310/597084611*c_0101_5^5 - 19099099413/2985423055*c_0101_5^4 + 12905351966/2985423055*c_0101_5^3 + 2849933882/2985423055*c_0101_5^2 - 6703287412/2985423055*c_0101_5 - 148252646/2985423055, c_0101_5^13 - 6*c_0101_5^12 + 2*c_0101_5^11 + 12*c_0101_5^10 - 13*c_0101_5^9 + 48*c_0101_5^8 - 69*c_0101_5^7 - 18*c_0101_5^6 + 77*c_0101_5^5 - 32*c_0101_5^4 - 12*c_0101_5^3 + 10*c_0101_5^2 + 2*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB