Magma V2.19-8 Tue Aug 20 2013 16:16:26 on localhost [Seed = 1562165682] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0707 geometric_solution 4.66145555 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 0 0 1 -1 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.260782869557 0.243121068855 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 -1 0 1 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 -2 0 2 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 -0.807136915666 0.932787859009 1 1 3 4 2310 0132 0132 0132 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 2 -1 -1 -1 0 1 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 -0.010708001091 0.288839193101 4 4 5 2 1023 3012 0132 0132 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 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 0.552885398502 1.455625026293 3 3 2 5 1230 1023 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552885398502 1.455625026293 6 6 4 3 0132 3201 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.907155767974 1.101520787284 5 6 5 6 0132 1302 2310 2031 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 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.060857791996 1.011735190988 ==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' : d['c_0011_5'], 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0101_2']), '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_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 559836761447405673/248204952058545584*c_1100_2^14 + 2602146602804462387/248204952058545584*c_1100_2^13 + 2939846324790340929/248204952058545584*c_1100_2^12 - 20733896224244043693/248204952058545584*c_1100_2^11 + 1538998293354444483/124102476029272792*c_1100_2^10 + 48734919023777286905/248204952058545584*c_1100_2^9 - 16164413630880200419/62051238014636396*c_1100_2^8 - 48222992145425267279/248204952058545584*c_1100_2^7 + 137117554466977360573/248204952058545584*c_1100_2^6 - 8521433670385426405/248204952058545584*c_1100_2^5 - 108814465947032421669/248204952058545584*c_1100_2^4 + 42114033985761550261/248204952058545584*c_1100_2^3 + 16637818125681624693/124102476029272792*c_1100_2^2 - 14408096126817639745/248204952058545584*c_1100_2 - 964321983804688817/62051238014636396, c_0011_0 - 1, c_0011_3 - 44524040561073367/62051238014636396*c_1100_2^14 + 137449620146843993/62051238014636396*c_1100_2^13 + 363491901412585543/62051238014636396*c_1100_2^12 - 940711024492924403/62051238014636396*c_1100_2^11 - 154629609202087213/31025619007318198*c_1100_2^10 + 2865254155830131759/62051238014636396*c_1100_2^9 - 547755570734939433/15512809503659099*c_1100_2^8 - 3913026078798718309/62051238014636396*c_1100_2^7 + 5677992247349732867/62051238014636396*c_1100_2^6 + 1605774763881489145/62051238014636396*c_1100_2^5 - 5327767390764380459/62051238014636396*c_1100_2^4 + 696145015946680607/62051238014636396*c_1100_2^3 + 1078165791787851915/31025619007318198*c_1100_2^2 - 421990024610601731/62051238014636396*c_1100_2 - 71249362178128401/15512809503659099, c_0011_5 - 6823452956395425/31025619007318198*c_1100_2^14 - 4804833451677969/31025619007318198*c_1100_2^13 + 163170315440619229/31025619007318198*c_1100_2^12 - 72860799624142827/31025619007318198*c_1100_2^11 - 288911274198690391/15512809503659099*c_1100_2^10 + 943277226979090007/31025619007318198*c_1100_2^9 + 157304793770626011/15512809503659099*c_1100_2^8 - 2288785261896552943/31025619007318198*c_1100_2^7 + 1247253311545838345/31025619007318198*c_1100_2^6 + 1730302818037028437/31025619007318198*c_1100_2^5 - 1716166704967261167/31025619007318198*c_1100_2^4 - 391611028351133507/31025619007318198*c_1100_2^3 + 357909421712647757/15512809503659099*c_1100_2^2 + 85389343913179553/31025619007318198*c_1100_2 - 54363931114283079/15512809503659099, c_0101_0 - 9573415059117455/31025619007318198*c_1100_2^14 + 24960130467809623/31025619007318198*c_1100_2^13 + 103324841006573149/31025619007318198*c_1100_2^12 - 209887708875310369/31025619007318198*c_1100_2^11 - 98502147320947020/15512809503659099*c_1100_2^10 + 816676722183704867/31025619007318198*c_1100_2^9 - 198308621856249657/15512809503659099*c_1100_2^8 - 1377281701808057459/31025619007318198*c_1100_2^7 + 1629376807323505731/31025619007318198*c_1100_2^6 + 719429086510816305/31025619007318198*c_1100_2^5 - 1726395728152631379/31025619007318198*c_1100_2^4 + 214160280177078937/31025619007318198*c_1100_2^3 + 342843804023949266/15512809503659099*c_1100_2^2 - 168801003488784883/31025619007318198*c_1100_2 - 47258293766544665/15512809503659099, c_0101_1 + 4313388433445/6040225641452*c_1100_2^14 - 13680155689259/6040225641452*c_1100_2^13 - 35852112917433/6040225641452*c_1100_2^12 + 102873210233129/6040225641452*c_1100_2^11 + 10308559532035/3020112820726*c_1100_2^10 - 318102875838661/6040225641452*c_1100_2^9 + 75497195254971/1510056410363*c_1100_2^8 + 363069328617475/6040225641452*c_1100_2^7 - 724887016425417/6040225641452*c_1100_2^6 + 35560312269125/6040225641452*c_1100_2^5 + 556223544703877/6040225641452*c_1100_2^4 - 249714652969685/6040225641452*c_1100_2^3 - 65821692427179/3020112820726*c_1100_2^2 + 74460687324817/6040225641452*c_1100_2 + 1755470131511/1510056410363, c_0101_2 - 18219087355059283/62051238014636396*c_1100_2^14 + 84006827427924409/62051238014636396*c_1100_2^13 + 13789316161350703/62051238014636396*c_1100_2^12 - 400603063645034191/62051238014636396*c_1100_2^11 + 286126470868463355/31025619007318198*c_1100_2^10 + 315034490471064103/62051238014636396*c_1100_2^9 - 390723356402011399/15512809503659099*c_1100_2^8 + 974327833180249023/62051238014636396*c_1100_2^7 + 1150085973926147823/62051238014636396*c_1100_2^6 - 1647929177929296459/62051238014636396*c_1100_2^5 - 31568759754359063/62051238014636396*c_1100_2^4 + 921294799392235839/62051238014636396*c_1100_2^3 - 127578082417542219/31025619007318198*c_1100_2^2 - 230128796652917307/62051238014636396*c_1100_2 + 21058097054380845/15512809503659099, c_1100_2^15 - 29/7*c_1100_2^14 - 31/7*c_1100_2^13 + 195/7*c_1100_2^12 - 122/7*c_1100_2^11 - 423/7*c_1100_2^10 + 772/7*c_1100_2^9 + 97/7*c_1100_2^8 - 181*c_1100_2^7 + 731/7*c_1100_2^6 + 699/7*c_1100_2^5 - 795/7*c_1100_2^4 - 22/7*c_1100_2^3 + 239/7*c_1100_2^2 - 36/7*c_1100_2 - 16/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB