Magma V2.19-8 Tue Aug 20 2013 16:18:20 on localhost [Seed = 223121442] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2538 geometric_solution 5.84455965 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 -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 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 1.827734738908 0.773675886641 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 0 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 0.369093164816 0.517536721928 4 1 5 4 0132 0132 0132 0213 0 0 0 0 0 -1 1 0 -1 0 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 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 -0.454610938535 1.019921826755 6 5 4 1 0132 1230 2310 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 0.626002403844 0.618274262044 2 3 6 2 0132 3201 0213 0213 0 0 0 0 0 0 0 0 1 0 -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 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 0.446951388684 1.187828165165 6 6 3 2 3012 1230 3012 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 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 -0.355721005091 1.383771192475 3 4 5 5 0132 0213 3012 1230 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 0 0 0 0.723475694342 0.593914082583 ==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' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0101_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_1001_3']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : 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_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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_1001_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_1'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], '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_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 729560744968437416659196/2497729791805018690031*c_1001_3^15 + 117630462225368003736993341/159854706675521196161984*c_1001_3^13 - 108755009101360360275576951/39963676668880299040496*c_1001_3^11 - 123973192314950680450817553/11418193333965799725856*c_1001_3^9 - 859974545410332351938693435/79927353337760598080992*c_1001_3^7 + 26767760355513170829978389/319709413351042392323968*c_1001_3^5 + 124005545455902159072167609/9990919167220074760124*c_1001_3^3 - 66411111942976880861244675/79927353337760598080992*c_1001_3, c_0011_0 - 1, c_0011_3 + 5679089313289151256704/2497729791805018690031*c_1001_3^15 + 28101136315076435774227/4995459583610037380062*c_1001_3^13 - 53560927811529007286492/2497729791805018690031*c_1001_3^11 - 29825775228854338029323/356818541686431241433*c_1001_3^9 - 199715925022526174748093/2497729791805018690031*c_1001_3^7 + 46665289114094296466435/9990919167220074760124*c_1001_3^5 + 243497623454790031939929/2497729791805018690031*c_1001_3^3 - 24751144266940889533966/2497729791805018690031*c_1001_3, c_0011_5 - 16325821043960076778496/2497729791805018690031*c_1001_3^15 - 41332315439228449535924/2497729791805018690031*c_1001_3^13 + 151643575855539826646156/2497729791805018690031*c_1001_3^11 + 86991098589717659115442/356818541686431241433*c_1001_3^9 + 608455810258638845143768/2497729791805018690031*c_1001_3^7 + 581172222921743727538/2497729791805018690031*c_1001_3^5 - 696158312819657512243774/2497729791805018690031*c_1001_3^3 + 35648436353981964178198/2497729791805018690031*c_1001_3, c_0101_0 + 46930573911772589440/356818541686431241433*c_1001_3^14 + 206846434967598983185/713637083372862482866*c_1001_3^12 - 472967260132649963625/356818541686431241433*c_1001_3^10 - 1629154563133200915993/356818541686431241433*c_1001_3^8 - 1231514197594718791707/356818541686431241433*c_1001_3^6 + 3075379128705995323361/1427274166745724965732*c_1001_3^4 + 5323092980792087882645/713637083372862482866*c_1001_3^2 - 356648279135083472054/356818541686431241433, c_0101_1 - 1708755859250480185984/2497729791805018690031*c_1001_3^14 - 8834012858245408145807/4995459583610037380062*c_1001_3^12 + 15528040347028266493132/2497729791805018690031*c_1001_3^10 + 9194897144032584483519/356818541686431241433*c_1001_3^8 + 68178965634785867570277/2497729791805018690031*c_1001_3^6 + 26799946407678357987281/9990919167220074760124*c_1001_3^4 - 69880576563471769289743/2497729791805018690031*c_1001_3^2 + 1825668455608517558810/2497729791805018690031, c_0101_5 + 1480585705732459395840/2497729791805018690031*c_1001_3^14 + 3869750848038054052977/2497729791805018690031*c_1001_3^12 - 13508771227393002352606/2497729791805018690031*c_1001_3^10 - 8042361528575078568234/356818541686431241433*c_1001_3^8 - 58943743915711134694646/2497729791805018690031*c_1001_3^6 - 7741866157267906925703/4995459583610037380062*c_1001_3^4 + 61394682711135914225229/2497729791805018690031*c_1001_3^2 - 2046594512056532794270/2497729791805018690031, c_1001_3^16 + 643/256*c_1001_3^14 - 1195/128*c_1001_3^12 - 4749/128*c_1001_3^10 - 4679/128*c_1001_3^8 + 291/512*c_1001_3^6 + 10879/256*c_1001_3^4 - 405/128*c_1001_3^2 + 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB