Magma V2.19-8 Tue Aug 20 2013 16:19:24 on localhost [Seed = 341149973] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3504 geometric_solution 6.78119649 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.708564533172 0.856498517160 0 5 3 6 0132 0132 3012 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 1 0 -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 0.339379942772 0.770758002906 5 0 6 4 2310 0132 0132 1230 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 1 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 0.339379942772 0.770758002906 4 1 6 0 1023 1230 3012 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755013266243 0.763417405756 2 3 0 6 3012 1023 0132 1230 0 0 0 0 0 0 1 -1 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 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 0.755013266243 0.763417405756 5 1 2 5 3201 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 -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 0.028204308683 1.125877030674 4 3 1 2 3012 1230 0132 0132 0 0 0 0 0 0 0 0 1 0 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 1 -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 0.994452232973 1.240840045487 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0101_3']})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 55476098810287200736448/127852285329074458329*c_0101_3^16 + 361981520847218423167751/1022818282632595666632*c_0101_3^14 - 6347736013872309618811/170469713772099277772*c_0101_3^12 + 5445521336469397406983115/1022818282632595666632*c_0101_3^10 + 5972407284598724442600647/511409141316297833316*c_0101_3^8 + 1895471777241571891488243/340939427544198555544*c_0101_3^6 - 93173603196164143845877/340939427544198555544*c_0101_3^4 + 204931414990506467984209/1022818282632595666632*c_0101_3^2 - 30427899144642065214211/1022818282632595666632, c_0011_0 - 1, c_0011_3 + 314597389270759077632/127852285329074458329*c_0101_3^16 - 1088195715126718392731/255704570658148916658*c_0101_3^14 + 148060568383824638987/85234856886049638886*c_0101_3^12 - 7662773227143455877839/255704570658148916658*c_0101_3^10 - 4969358497804773202901/127852285329074458329*c_0101_3^8 + 1400052147874812472324/42617428443024819443*c_0101_3^6 + 3122073617546593112329/85234856886049638886*c_0101_3^4 - 276656919236785777931/127852285329074458329*c_0101_3^2 + 49946430559669046807/127852285329074458329, c_0011_6 + 4688981928457805260544/42617428443024819443*c_0101_3^17 - 8488175650347243067595/85234856886049638886*c_0101_3^15 + 1424864434711667311797/85234856886049638886*c_0101_3^13 - 115044937151328588488351/85234856886049638886*c_0101_3^11 - 121079908880438721208906/42617428443024819443*c_0101_3^9 - 48371864668810944207406/42617428443024819443*c_0101_3^7 + 17858543506345624903829/85234856886049638886*c_0101_3^5 - 2471936282408600514135/42617428443024819443*c_0101_3^3 + 330040939033627879697/42617428443024819443*c_0101_3, c_0101_0 + c_0101_3, c_0101_1 + 11634332488684986473984/127852285329074458329*c_0101_3^17 - 10852939388575697555731/127852285329074458329*c_0101_3^15 + 662807653916349569276/42617428443024819443*c_0101_3^13 - 142749172624165649606320/127852285329074458329*c_0101_3^11 - 296413568998946631709793/127852285329074458329*c_0101_3^9 - 36958678729544257822708/42617428443024819443*c_0101_3^7 + 9273082692179799615631/42617428443024819443*c_0101_3^5 - 5359737781666485144632/127852285329074458329*c_0101_3^3 + 797331160268701482554/127852285329074458329*c_0101_3, c_0101_2 + 1511175148324281283584/42617428443024819443*c_0101_3^16 - 1320862995738332060242/42617428443024819443*c_0101_3^14 + 188011746320288698062/42617428443024819443*c_0101_3^12 - 18542171485064681712402/42617428443024819443*c_0101_3^10 - 39582338615458365154752/42617428443024819443*c_0101_3^8 - 16825510334285453942213/42617428443024819443*c_0101_3^6 + 2506141661461728265894/42617428443024819443*c_0101_3^4 - 567675063825788229555/42617428443024819443*c_0101_3^2 + 92609744608022071572/42617428443024819443, c_0101_3^18 - 509/512*c_0101_3^16 + 119/512*c_0101_3^14 - 6289/512*c_0101_3^12 - 3165/128*c_0101_3^10 - 2053/256*c_0101_3^8 + 1461/512*c_0101_3^6 - 169/256*c_0101_3^4 + 15/128*c_0101_3^2 - 1/128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB