Magma V2.19-8 Tue Aug 20 2013 16:18:19 on localhost [Seed = 2732801931] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2523 geometric_solution 5.84022537 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 0 1 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.589745534053 0.718312185256 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 0 0 0 1 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 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 0.560961342627 0.406849520446 4 1 5 6 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 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 1.143801831587 1.231051367530 5 4 5 1 1023 1302 1302 0132 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 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 0.569742407118 0.424300412703 2 6 6 3 0132 0321 3012 2031 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 0.299748622624 0.384518474466 3 3 6 2 2031 1023 3201 0132 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 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 0.599497245247 0.769036948931 5 4 2 4 2310 1230 0132 0321 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 0.097217646073 0.602498572735 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : 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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(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_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_1001_1']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_6, c_0101_0, c_0101_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 4799673261/70298311664*c_0101_2*c_1001_1^8 + 13666887413/8787288958*c_0101_2*c_1001_1^7 + 297604197633/35149155832*c_0101_2*c_1001_1^6 + 1634054064879/70298311664*c_0101_2*c_1001_1^5 + 770097788993/17574577916*c_0101_2*c_1001_1^4 - 428294208171/70298311664*c_0101_2*c_1001_1^3 + 7134121042577/70298311664*c_0101_2*c_1001_1^2 + 5666006097625/35149155832*c_0101_2*c_1001_1 + 6251043853631/35149155832*c_0101_2, c_0011_0 - 1, c_0011_1 - 25925754/4393644479*c_1001_1^8 - 170490126/4393644479*c_1001_1^7 - 65329898/627663497*c_1001_1^6 - 862739949/4393644479*c_1001_1^5 + 802700456/4393644479*c_1001_1^4 - 566282874/4393644479*c_1001_1^3 - 4044732765/4393644479*c_1001_1^2 - 2507368835/4393644479*c_1001_1 + 374527679/627663497, c_0011_3 - 17466749/4393644479*c_0101_2*c_1001_1^8 + 10252895/4393644479*c_0101_2*c_1001_1^7 + 65597635/627663497*c_0101_2*c_1001_1^6 + 1468469801/4393644479*c_0101_2*c_1001_1^5 + 4834941995/4393644479*c_0101_2*c_1001_1^4 - 3375311496/4393644479*c_0101_2*c_1001_1^3 + 8072658912/4393644479*c_0101_2*c_1001_1^2 + 11140621491/4393644479*c_0101_2*c_1001_1 + 2555957079/627663497*c_0101_2, c_0011_6 + 246753656/4393644479*c_0101_2*c_1001_1^8 + 3044584845/8787288958*c_0101_2*c_1001_1^7 + 576485524/627663497*c_0101_2*c_1001_1^6 + 8355251963/4393644479*c_0101_2*c_1001_1^5 - 11786125385/8787288958*c_0101_2*c_1001_1^4 + 20888571472/4393644479*c_0101_2*c_1001_1^3 + 57033194699/8787288958*c_0101_2*c_1001_1^2 + 55413439427/8787288958*c_0101_2*c_1001_1 - 1588435397/627663497*c_0101_2, c_0101_0 + 20166556/4393644479*c_1001_1^8 + 133700029/4393644479*c_1001_1^7 + 52544869/627663497*c_1001_1^6 + 683956060/4393644479*c_1001_1^5 - 575353148/4393644479*c_1001_1^4 + 877092578/4393644479*c_1001_1^3 + 3647052169/4393644479*c_1001_1^2 + 3768489952/4393644479*c_1001_1 - 673507188/627663497, c_0101_2^2 + 747556/627663497*c_1001_1^8 + 4443465/627663497*c_1001_1^7 + 12479827/1255326994*c_1001_1^6 + 12189932/627663497*c_1001_1^5 + 8696985/627663497*c_1001_1^4 + 260434733/1255326994*c_1001_1^3 + 604140183/627663497*c_1001_1^2 - 719328835/1255326994*c_1001_1 - 512404633/1255326994, c_1001_1^9 + 6*c_1001_1^8 + 15*c_1001_1^7 + 29*c_1001_1^6 - 36*c_1001_1^5 + 74*c_1001_1^4 + 99*c_1001_1^3 + 67*c_1001_1^2 - 123*c_1001_1 - 56 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB