Magma V2.19-8 Tue Aug 20 2013 16:16:04 on localhost [Seed = 1225315719] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0318 geometric_solution 4.35263533 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 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 1 -1 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 1.977098430643 0.498858519325 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 -1 0 1 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 -1 1 0 1 0 -1 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 0.283675237118 0.940189266343 4 1 3 3 0132 0132 1302 2031 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 1 0 -1 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 0.340459923204 0.342818413751 2 2 4 1 2031 1302 2310 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 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340459923204 0.342818413751 2 3 5 5 0132 3201 2310 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 1 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 -0.710017714320 2.059397740067 6 4 4 6 0132 3201 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 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 -0.196222030593 0.363376869170 5 5 6 6 0132 2310 1230 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.609016385499 0.662103220440 ==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' : 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' : 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' : 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_3']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), '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' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], '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_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], '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_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 685005657239795578951/901229611803425296784*c_0101_6^13 - 23463334247848901049/32186771850122332028*c_0101_6^12 + 958010772167223086159/901229611803425296784*c_0101_6^11 - 3888528394450070201297/901229611803425296784*c_0101_6^10 - 730162943898399680295/225307402950856324196*c_0101_6^9 - 1653640752446608664209/450614805901712648392*c_0101_6^8 + 4441464235368969434487/901229611803425296784*c_0101_6^7 + 371518471563388364295/225307402950856324196*c_0101_6^6 + 24240461920523442161329/901229611803425296784*c_0101_6^5 - 45616580565529903890571/901229611803425296784*c_0101_6^4 + 110737724499148810859/32186771850122332028*c_0101_6^3 - 5039505780226512231891/128747087400489328112*c_0101_6^2 + 1217866413806839688731/128747087400489328112*c_0101_6 + 4936259618195419434451/225307402950856324196, c_0011_0 - 1, c_0011_3 + 6949084640560557319/8046692962530583007*c_0101_6^13 - 9944498814368367997/8046692962530583007*c_0101_6^12 - 478468494703098496/8046692962530583007*c_0101_6^11 + 62045507186639360423/8046692962530583007*c_0101_6^10 - 120914455652783055119/8046692962530583007*c_0101_6^9 + 198479107625196507513/8046692962530583007*c_0101_6^8 - 262846257925454916867/8046692962530583007*c_0101_6^7 + 166061648319901993218/8046692962530583007*c_0101_6^6 - 15395313757734589075/8046692962530583007*c_0101_6^5 + 28221272979432012169/8046692962530583007*c_0101_6^4 + 97163323526673948321/8046692962530583007*c_0101_6^3 - 79199347470654450421/8046692962530583007*c_0101_6^2 - 41157240487508860472/8046692962530583007*c_0101_6 + 23270965859003692119/8046692962530583007, c_0011_5 - 1595943438877347164/8046692962530583007*c_0101_6^13 + 53619735584577842/8046692962530583007*c_0101_6^12 + 2061392803961419136/8046692962530583007*c_0101_6^11 - 13144636339611569461/8046692962530583007*c_0101_6^10 + 8337127307272448319/8046692962530583007*c_0101_6^9 - 16606723260879476946/8046692962530583007*c_0101_6^8 + 10955836741324557842/8046692962530583007*c_0101_6^7 + 17091295995534107561/8046692962530583007*c_0101_6^6 - 11354736533648373159/8046692962530583007*c_0101_6^5 - 20940088872368928493/8046692962530583007*c_0101_6^4 - 27593027506631930632/8046692962530583007*c_0101_6^3 - 27322989791922710546/8046692962530583007*c_0101_6^2 + 5445752801688762768/8046692962530583007*c_0101_6 + 9863871481554297343/8046692962530583007, c_0101_0 + 65993673033112207801/32186771850122332028*c_0101_6^13 - 81642864613973066505/32186771850122332028*c_0101_6^12 - 3448252492098459796/8046692962530583007*c_0101_6^11 + 577572519831364949675/32186771850122332028*c_0101_6^10 - 1041306737607425756123/32186771850122332028*c_0101_6^9 + 1744791108105418976017/32186771850122332028*c_0101_6^8 - 1131905702937362800663/16093385925061166014*c_0101_6^7 + 639533663450948773835/16093385925061166014*c_0101_6^6 - 81236561472498820621/32186771850122332028*c_0101_6^5 + 174709179994668092881/16093385925061166014*c_0101_6^4 + 508356291528602885479/16093385925061166014*c_0101_6^3 - 454543826028720334403/32186771850122332028*c_0101_6^2 - 107009566007448622422/8046692962530583007*c_0101_6 + 35936678784245197011/8046692962530583007, c_0101_1 - 9625100423983441265/16093385925061166014*c_0101_6^13 + 5031128051284795313/8046692962530583007*c_0101_6^12 + 3586675546548707557/16093385925061166014*c_0101_6^11 - 84143364707803134615/16093385925061166014*c_0101_6^10 + 68342913563024086724/8046692962530583007*c_0101_6^9 - 115536613879989413214/8046692962530583007*c_0101_6^8 + 281756943927976493209/16093385925061166014*c_0101_6^7 - 63799717630241361929/8046692962530583007*c_0101_6^6 - 22418913236299043027/16093385925061166014*c_0101_6^5 - 42343535561132199701/16093385925061166014*c_0101_6^4 - 78252261005510203302/8046692962530583007*c_0101_6^3 + 29917967089077474333/16093385925061166014*c_0101_6^2 + 80157450489715676353/16093385925061166014*c_0101_6 - 6680413336801160298/8046692962530583007, c_0101_4 + 12454249586971713598/8046692962530583007*c_0101_6^13 - 13423761025588936598/8046692962530583007*c_0101_6^12 - 3782162053343533591/8046692962530583007*c_0101_6^11 + 108069302359960188107/8046692962530583007*c_0101_6^10 - 180229460176465996478/8046692962530583007*c_0101_6^9 + 308714114310881407082/8046692962530583007*c_0101_6^8 - 385938105002177787080/8046692962530583007*c_0101_6^7 + 194705911391540927001/8046692962530583007*c_0101_6^6 + 2683203719394815598/8046692962530583007*c_0101_6^5 + 60956312080244917013/8046692962530583007*c_0101_6^4 + 216408175790393456663/8046692962530583007*c_0101_6^3 - 53302665964417611784/8046692962530583007*c_0101_6^2 - 66914909356538963770/8046692962530583007*c_0101_6 + 20652061114981463072/8046692962530583007, c_0101_6^14 - 17/11*c_0101_6^13 + 2/11*c_0101_6^12 + 97/11*c_0101_6^11 - 203/11*c_0101_6^10 + 345/11*c_0101_6^9 - 468/11*c_0101_6^8 + 334/11*c_0101_6^7 - 83/11*c_0101_6^6 + 64/11*c_0101_6^5 + 150/11*c_0101_6^4 - 133/11*c_0101_6^3 - 42/11*c_0101_6^2 + 48/11*c_0101_6 - 8/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB