Magma V2.19-8 Tue Aug 20 2013 16:14:16 on localhost [Seed = 3018993555] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s237 geometric_solution 4.39748903 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 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 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 0.554715614328 0.363849709949 0 2 2 3 0132 2031 1230 0132 0 0 0 0 0 -1 1 0 0 0 1 -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 0.739557769637 0.826750731508 1 0 3 1 1302 0132 2310 3012 0 0 0 0 0 0 1 -1 1 0 0 -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 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 0.739557769637 0.826750731508 4 2 1 4 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 -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 0.544999656201 0.540423956959 3 5 5 3 0132 0132 1023 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 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 1.408336915843 0.441333827157 5 4 4 5 3012 0132 1023 1230 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.616778372672 0.164252746394 ==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' : negation(d['1']), 's_2_0' : negation(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' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), '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' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_0']), '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' : d['c_0101_4'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : 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_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 55148867477/44868161488*c_0101_5^14 - 135875402811/44868161488*c_0101_5^13 + 916405568919/44868161488*c_0101_5^12 + 822539135731/44868161488*c_0101_5^11 - 4418733821055/44868161488*c_0101_5^10 + 7103261711239/44868161488*c_0101_5^9 + 1316935730395/44868161488*c_0101_5^8 - 28038395100329/44868161488*c_0101_5^7 + 25200902823573/44868161488*c_0101_5^6 - 4374961818985/22434080744*c_0101_5^5 + 4242207321695/44868161488*c_0101_5^4 + 2000995704729/44868161488*c_0101_5^3 + 2275666117753/44868161488*c_0101_5^2 - 41395009055/11217040372*c_0101_5 + 788020762223/44868161488, c_0011_0 - 1, c_0011_3 - 3028575188/2804260093*c_0101_5^14 - 15191863779/2804260093*c_0101_5^13 + 8420651880/2804260093*c_0101_5^12 + 49177303426/2804260093*c_0101_5^11 - 118177570713/2804260093*c_0101_5^10 + 140168537559/2804260093*c_0101_5^9 + 338192711020/2804260093*c_0101_5^8 - 587562054727/2804260093*c_0101_5^7 + 291176602854/2804260093*c_0101_5^6 - 118680936873/2804260093*c_0101_5^5 - 19275200804/2804260093*c_0101_5^4 - 13010154770/2804260093*c_0101_5^3 + 14980831253/2804260093*c_0101_5^2 - 17352890959/2804260093*c_0101_5 + 5838026438/2804260093, c_0101_0 - 2286965676/2804260093*c_0101_5^14 - 11004111173/2804260093*c_0101_5^13 + 9199512466/2804260093*c_0101_5^12 + 38333724723/2804260093*c_0101_5^11 - 98258556132/2804260093*c_0101_5^10 + 115274660221/2804260093*c_0101_5^9 + 252868990212/2804260093*c_0101_5^8 - 515631931802/2804260093*c_0101_5^7 + 250259302772/2804260093*c_0101_5^6 - 36648247870/2804260093*c_0101_5^5 - 21634145765/2804260093*c_0101_5^4 - 9407153353/2804260093*c_0101_5^3 + 17009682833/2804260093*c_0101_5^2 - 10648216965/2804260093*c_0101_5 + 2464466898/2804260093, c_0101_1 + 1431544494/2804260093*c_0101_5^14 + 7482282026/2804260093*c_0101_5^13 - 2653146851/2804260093*c_0101_5^12 - 25007427309/2804260093*c_0101_5^11 + 51684694353/2804260093*c_0101_5^10 - 50443836553/2804260093*c_0101_5^9 - 181117662185/2804260093*c_0101_5^8 + 249406335779/2804260093*c_0101_5^7 - 52582600959/2804260093*c_0101_5^6 - 14199939782/2804260093*c_0101_5^5 + 14153742096/2804260093*c_0101_5^4 + 27474754231/2804260093*c_0101_5^3 - 8832051201/2804260093*c_0101_5^2 + 5541353778/2804260093*c_0101_5 + 1064865953/2804260093, c_0101_4 + 1744585297/2804260093*c_0101_5^14 + 8360897843/2804260093*c_0101_5^13 - 7090486195/2804260093*c_0101_5^12 - 28720742095/2804260093*c_0101_5^11 + 74934685712/2804260093*c_0101_5^10 - 90914678115/2804260093*c_0101_5^9 - 186540897042/2804260093*c_0101_5^8 + 391899964358/2804260093*c_0101_5^7 - 208339942440/2804260093*c_0101_5^6 + 57834352179/2804260093*c_0101_5^5 + 4062068042/2804260093*c_0101_5^4 + 1326146190/2804260093*c_0101_5^3 - 11358506536/2804260093*c_0101_5^2 + 11338991922/2804260093*c_0101_5 - 4679852220/2804260093, c_0101_5^15 + 4*c_0101_5^14 - 8*c_0101_5^13 - 14*c_0101_5^12 + 56*c_0101_5^11 - 84*c_0101_5^10 - 70*c_0101_5^9 + 314*c_0101_5^8 - 280*c_0101_5^7 + 109*c_0101_5^6 - 17*c_0101_5^5 - 4*c_0101_5^4 - 14*c_0101_5^3 + 11*c_0101_5^2 - 7*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB