Magma V2.19-8 Tue Aug 20 2013 16:14:38 on localhost [Seed = 2134827897] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s620 geometric_solution 5.10469415 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 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 0.369794059365 0.244144053284 2 0 3 0 0132 2310 0132 0132 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 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 0.746902697002 0.999243383100 1 4 5 3 0132 0132 0132 2310 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001073006379 0.897290540136 2 5 4 1 3201 0132 3201 0132 0 0 0 0 0 0 0 0 1 0 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 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 0.001073006379 0.897290540136 3 2 4 4 2310 0132 1230 3012 0 0 0 0 0 0 1 -1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.374404682451 1.163827682419 5 3 5 2 2310 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.001332709534 1.114464630199 ==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' : d['c_0011_3'], 'c_1100_4' : d['c_0101_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 70093149189/6678274214*c_0101_4^17 + 210144114738/3339137107*c_0101_4^15 - 418615385637/6678274214*c_0101_4^13 - 772628015810/3339137107*c_0101_4^11 - 1547685863409/6678274214*c_0101_4^9 + 4416263529683/3339137107*c_0101_4^7 - 7660378848655/6678274214*c_0101_4^5 + 8569219510653/6678274214*c_0101_4^3 - 2118523520001/3339137107*c_0101_4, c_0011_0 - 1, c_0011_1 - 32863546/3339137107*c_0101_4^16 + 171919626/3339137107*c_0101_4^14 - 75877046/3339137107*c_0101_4^12 - 767071933/3339137107*c_0101_4^10 - 1033070475/3339137107*c_0101_4^8 + 2621470743/3339137107*c_0101_4^6 - 2893749209/3339137107*c_0101_4^4 + 3460050655/3339137107*c_0101_4^2 + 1279403093/3339137107, c_0011_3 - 292290591/3339137107*c_0101_4^17 + 1752066368/3339137107*c_0101_4^15 - 1739691462/3339137107*c_0101_4^13 - 6487615068/3339137107*c_0101_4^11 - 6411403838/3339137107*c_0101_4^9 + 37241628121/3339137107*c_0101_4^7 - 32666469160/3339137107*c_0101_4^5 + 33331286432/3339137107*c_0101_4^3 - 18659574626/3339137107*c_0101_4, c_0101_0 - 355584025/3339137107*c_0101_4^17 + 2118173015/3339137107*c_0101_4^15 - 2041340239/3339137107*c_0101_4^13 - 7882218606/3339137107*c_0101_4^11 - 8287929179/3339137107*c_0101_4^9 + 44452936803/3339137107*c_0101_4^7 - 37002381560/3339137107*c_0101_4^5 + 44692887018/3339137107*c_0101_4^3 - 20597506138/3339137107*c_0101_4, c_0101_1 + 47962299/3339137107*c_0101_4^16 - 273942736/3339137107*c_0101_4^14 + 242278721/3339137107*c_0101_4^12 + 929522909/3339137107*c_0101_4^10 + 1525874994/3339137107*c_0101_4^8 - 5099447492/3339137107*c_0101_4^6 + 5291964343/3339137107*c_0101_4^4 - 6929344092/3339137107*c_0101_4^2 + 1582347487/3339137107, c_0101_4^18 - 6*c_0101_4^16 + 6*c_0101_4^14 + 22*c_0101_4^12 + 22*c_0101_4^10 - 126*c_0101_4^8 + 110*c_0101_4^6 - 123*c_0101_4^4 + 61*c_0101_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB