Magma V2.19-8 Tue Aug 20 2013 16:16:05 on localhost [Seed = 1309659776] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0346 geometric_solution 4.37179670 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 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 -1 1 0 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 5.326696657614 1.668725207848 0 3 3 0 0132 0132 3201 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 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.413670751746 0.404098247587 2 0 2 0 2031 2310 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.512306563751 0.094878262592 1 1 4 5 2310 0132 0132 0132 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 1 -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 0 0 0 0 0.172069704728 0.507313542122 6 6 5 3 0132 3201 2031 0132 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 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 0.515198865736 1.013302202456 6 6 3 4 1023 2310 0132 1302 0 0 0 0 0 -1 1 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 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 0.515198865736 1.013302202456 4 5 4 5 0132 1023 2310 3201 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 -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 -0.398695550592 0.784161430455 ==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' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : negation(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_4'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 2900680675293798627/59250545541459091*c_0101_4^13 - 14446520472687759005/118501091082918182*c_0101_4^12 - 55284484041315643775/237002182165836364*c_0101_4^11 - 395149040222687507853/237002182165836364*c_0101_4^10 - 3363743854891400152009/237002182165836364*c_0101_4^9 - 7599632132035053123663/237002182165836364*c_0101_4^8 - 1481559825643409261820/59250545541459091*c_0101_4^7 - 210995636678963654303/118501091082918182*c_0101_4^6 + 2370366888414284570541/237002182165836364*c_0101_4^5 + 802897604387926448429/118501091082918182*c_0101_4^4 + 106349963433584279089/118501091082918182*c_0101_4^3 - 175588187796422471311/237002182165836364*c_0101_4^2 - 94784232917122407011/237002182165836364*c_0101_4 - 18187533955179954817/237002182165836364, c_0011_0 - 1, c_0011_2 + 20715215519012528/3485326208321123*c_0101_4^13 - 61396370392944268/3485326208321123*c_0101_4^12 - 71786004761330276/3485326208321123*c_0101_4^11 - 666055810694740352/3485326208321123*c_0101_4^10 - 11360543886447872225/6970652416642246*c_0101_4^9 - 10803926810263605411/3485326208321123*c_0101_4^8 - 4835360695402504971/3485326208321123*c_0101_4^7 + 5904644631456652949/6970652416642246*c_0101_4^6 + 8053562255691258267/6970652416642246*c_0101_4^5 + 1371227019796676616/3485326208321123*c_0101_4^4 - 302500773411959645/3485326208321123*c_0101_4^3 - 311638825559436470/3485326208321123*c_0101_4^2 - 104728288516309720/3485326208321123*c_0101_4 - 29487214728076539/6970652416642246, c_0011_4 + 7938046196091106/3485326208321123*c_0101_4^13 - 23210396404366293/3485326208321123*c_0101_4^12 - 55791572549282911/6970652416642246*c_0101_4^11 - 257932392509795837/3485326208321123*c_0101_4^10 - 4377314824005386145/6970652416642246*c_0101_4^9 - 8490453691633874235/6970652416642246*c_0101_4^8 - 4341454781641007545/6970652416642246*c_0101_4^7 + 1510702607978150855/6970652416642246*c_0101_4^6 + 2780137073882839253/6970652416642246*c_0101_4^5 + 545343643436215899/3485326208321123*c_0101_4^4 - 71030642023511657/3485326208321123*c_0101_4^3 - 213788564632285123/6970652416642246*c_0101_4^2 - 35743111978943184/3485326208321123*c_0101_4 - 3468811261626799/6970652416642246, c_0101_0 + 34738003118040220/3485326208321123*c_0101_3*c_0101_4^13 - 100867795394128242/3485326208321123*c_0101_3*c_0101_4^12 - 125534089809507071/3485326208321123*c_0101_3*c_0101_4^11 - 1127344020965190685/3485326208321123*c_0101_3*c_0101_4^10 - 9595363692402193357/3485326208321123*c_0101_3*c_0101_4^9 - 37450803566008912281/6970652416642246*c_0101_3*c_0101_4^8 - 18964529178794598981/6970652416642246*c_0101_3*c_0101_4^7 + 7852180658590919909/6970652416642246*c_0101_3*c_0101_4^6 + 6694646174740245085/3485326208321123*c_0101_3*c_0101_4^5 + 5155146847858914537/6970652416642246*c_0101_3*c_0101_4^4 - 693161653922570415/6970652416642246*c_0101_3*c_0101_4^3 - 1023455992678635915/6970652416642246*c_0101_3*c_0101_4^2 - 346688725478101755/6970652416642246*c_0101_3*c_0101_4 - 53826868703738895/6970652416642246*c_0101_3, c_0101_1 - 4335283926872850/3485326208321123*c_0101_4^13 + 13963296073898365/3485326208321123*c_0101_4^12 + 22573542466930379/6970652416642246*c_0101_4^11 + 136695696705267422/3485326208321123*c_0101_4^10 + 1154793330135393228/3485326208321123*c_0101_4^9 + 1969786528977472494/3485326208321123*c_0101_4^8 + 554349102101051394/3485326208321123*c_0101_4^7 - 1234702740103250995/6970652416642246*c_0101_4^6 - 509908119861416197/3485326208321123*c_0101_4^5 - 113929802599962725/6970652416642246*c_0101_4^4 + 205257041951059181/6970652416642246*c_0101_4^3 + 19712269151459751/3485326208321123*c_0101_4^2 - 2503496363165559/6970652416642246*c_0101_4 - 5136124321377529/6970652416642246, c_0101_3^2 - 6490367170854768/3485326208321123*c_0101_4^13 + 19115760575972146/3485326208321123*c_0101_4^12 + 22665134965711245/3485326208321123*c_0101_4^11 + 419356656919957923/6970652416642246*c_0101_4^10 + 3568259065694697423/6970652416642246*c_0101_4^9 + 6847723797366773579/6970652416642246*c_0101_4^8 + 1627374274092203012/3485326208321123*c_0101_4^7 - 1618721935682914927/6970652416642246*c_0101_4^6 - 2501928607662720189/6970652416642246*c_0101_4^5 - 954848167084798317/6970652416642246*c_0101_4^4 + 139533460999641967/6970652416642246*c_0101_4^3 + 194893870049004245/6970652416642246*c_0101_4^2 + 34585314368026244/3485326208321123*c_0101_4 + 3068332530740989/3485326208321123, c_0101_4^14 - 5/2*c_0101_4^13 - 19/4*c_0101_4^12 - 34*c_0101_4^11 - 579/2*c_0101_4^10 - 2607/4*c_0101_4^9 - 501*c_0101_4^8 - 83/4*c_0101_4^7 + 883/4*c_0101_4^6 + 151*c_0101_4^5 + 99/4*c_0101_4^4 - 16*c_0101_4^3 - 43/4*c_0101_4^2 - 11/4*c_0101_4 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB