Magma V2.19-8 Tue Aug 20 2013 16:18:17 on localhost [Seed = 1713896274] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2494 geometric_solution 5.81834737 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 2310 0132 3201 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 1 0 -1 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 1.345796532981 1.272864211497 0 3 5 4 0132 0132 0132 0132 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 -1 0 1 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 0.508398098728 0.653574180800 4 5 3 0 0132 1023 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508398098728 0.653574180800 3 1 2 3 3201 0132 1023 2310 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 1 0 -1 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 0.062785382459 0.648933106605 2 4 1 4 0132 2310 0132 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 -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 1.193229890675 0.713889040729 2 6 6 1 1023 0132 1023 0132 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 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 0.231753840257 0.459245259923 6 5 5 6 3012 0132 1023 1230 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.965438081196 0.898822793145 ==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_2_6' : d['1'], 's_1_6' : 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_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' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], '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_2'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 3005593480261/553057934536*c_0101_6^13 - 986411625205/138264483634*c_0101_6^12 + 3511615260611/69132241817*c_0101_6^11 - 666842356765/7277078086*c_0101_6^10 + 13774885982220/69132241817*c_0101_6^9 - 142959927508437/553057934536*c_0101_6^8 + 47351678128175/276528967268*c_0101_6^7 - 36184298153291/276528967268*c_0101_6^6 - 58535713998999/276528967268*c_0101_6^5 + 2489861404063/29108312344*c_0101_6^4 - 24734909843379/276528967268*c_0101_6^3 + 44180375678509/553057934536*c_0101_6^2 + 27186601429121/553057934536*c_0101_6 + 5791291486617/276528967268, c_0011_0 - 1, c_0011_2 - 2075534321/3638539043*c_0101_6^13 + 2324236783/3638539043*c_0101_6^12 - 18952345023/3638539043*c_0101_6^11 + 31278436249/3638539043*c_0101_6^10 - 69953962119/3638539043*c_0101_6^9 + 84555580990/3638539043*c_0101_6^8 - 47902524756/3638539043*c_0101_6^7 + 37718960827/3638539043*c_0101_6^6 + 91112447761/3638539043*c_0101_6^5 - 17157306808/3638539043*c_0101_6^4 + 28771703232/3638539043*c_0101_6^3 - 18272384939/3638539043*c_0101_6^2 - 24695084599/3638539043*c_0101_6 - 7834060667/3638539043, c_0101_0 - 2593573238/3638539043*c_0101_6^13 + 2793796175/3638539043*c_0101_6^12 - 23186005419/3638539043*c_0101_6^11 + 37559953667/3638539043*c_0101_6^10 - 82642718536/3638539043*c_0101_6^9 + 96033710641/3638539043*c_0101_6^8 - 44605228855/3638539043*c_0101_6^7 + 33070264853/3638539043*c_0101_6^6 + 117088739224/3638539043*c_0101_6^5 - 11201438620/3638539043*c_0101_6^4 + 18634543220/3638539043*c_0101_6^3 - 14435695014/3638539043*c_0101_6^2 - 28764015620/3638539043*c_0101_6 - 11251782862/3638539043, c_0101_1 + 318824426/3638539043*c_0101_6^13 - 297384686/3638539043*c_0101_6^12 + 2642723527/3638539043*c_0101_6^11 - 3839699753/3638539043*c_0101_6^10 + 7942721256/3638539043*c_0101_6^9 - 6392726614/3638539043*c_0101_6^8 - 3554128143/3638539043*c_0101_6^7 + 7916337096/3638539043*c_0101_6^6 - 23443530713/3638539043*c_0101_6^5 + 4244516846/3638539043*c_0101_6^4 + 370004439/3638539043*c_0101_6^3 - 5166851113/3638539043*c_0101_6^2 + 3718031781/3638539043*c_0101_6 - 549394529/3638539043, c_0101_2 + 647968522/3638539043*c_0101_6^13 - 213435827/3638539043*c_0101_6^12 + 4785864679/3638539043*c_0101_6^11 - 4330561783/3638539043*c_0101_6^10 + 9033759673/3638539043*c_0101_6^9 + 389073123/3638539043*c_0101_6^8 - 25514356862/3638539043*c_0101_6^7 + 25562174832/3638539043*c_0101_6^6 - 53073182645/3638539043*c_0101_6^5 - 7572561519/3638539043*c_0101_6^4 + 16147743997/3638539043*c_0101_6^3 - 10959414245/3638539043*c_0101_6^2 + 15427167328/3638539043*c_0101_6 + 3762915750/3638539043, c_0101_3 - 1947016960/3638539043*c_0101_6^13 + 2336383970/3638539043*c_0101_6^12 - 17769886363/3638539043*c_0101_6^11 + 30579489331/3638539043*c_0101_6^10 - 66434350088/3638539043*c_0101_6^9 + 82195237280/3638539043*c_0101_6^8 - 46429459706/3638539043*c_0101_6^7 + 34536506030/3638539043*c_0101_6^6 + 82070359293/3638539043*c_0101_6^5 - 19283871061/3638539043*c_0101_6^4 + 17511491259/3638539043*c_0101_6^3 - 17088387361/3638539043*c_0101_6^2 - 21828877042/3638539043*c_0101_6 - 7061527248/3638539043, c_0101_6^14 - c_0101_6^13 + 9*c_0101_6^12 - 14*c_0101_6^11 + 32*c_0101_6^10 - 37*c_0101_6^9 + 19*c_0101_6^8 - 17*c_0101_6^7 - 44*c_0101_6^6 + c_0101_6^5 - 13*c_0101_6^4 + 8*c_0101_6^3 + 12*c_0101_6^2 + 6*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB