Magma V2.19-8 Tue Aug 20 2013 23:42:17 on localhost [Seed = 3852697782] Type ? for help. Type -D to quit. Loading file "K12n821__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n821 geometric_solution 10.09281296 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 0 0 2 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 0 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 -0.266102595027 0.816135661746 0 2 4 3 0132 2310 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 -6 6 0 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 1.239202708360 1.222256581406 5 6 0 1 0132 0132 0132 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 -1 1 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.125690541195 0.769471542364 7 5 1 4 0132 3201 0132 0321 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 7 0 -7 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 0.599866720874 0.085392717234 8 3 9 1 0132 0321 0132 0132 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 7 -1 -6 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 0.425497018952 0.754343167426 2 10 3 8 0132 0132 2310 0132 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 -1 1 0 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425497018952 0.754343167426 9 2 9 7 2031 0132 3012 1023 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 1 -1 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.766257399709 1.520099840562 3 11 8 6 0132 0132 0213 1023 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 0 0 0 0 0 0 0 0 0 0 0.735577631317 0.524560546663 4 7 5 11 0132 0213 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 -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 0.237452824815 0.976014046559 10 6 6 4 0213 1230 1302 0132 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 -1 0 1 -7 0 6 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 0.735577631317 0.524560546663 9 5 11 11 0213 0132 0132 2310 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 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143840268979 0.490384058220 10 7 8 10 3201 0132 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 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 1.221999334481 1.617284348498 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_6'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_0011_9'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_0110_6'], 'c_1001_8' : d['c_1001_10'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_9'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_0101_6'], 'c_1100_8' : d['c_0011_11'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : d['c_0110_6'], 'c_1100_6' : negation(d['c_0110_6']), 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_6'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : negation(d['c_0011_9']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : d['c_0110_6'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : d['c_0011_10'], 'c_0110_11' : d['c_0011_9'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_11'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_6, c_0110_6, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 4303660539653/253898942804*c_1001_10^7 + 48811816028117/126949471402*c_1001_10^6 + 548189555464009/253898942804*c_1001_10^5 + 503742181438883/253898942804*c_1001_10^4 + 48376811807429/63474735701*c_1001_10^3 + 113713144456660/63474735701*c_1001_10^2 - 278155017490715/253898942804*c_1001_10 + 20701571474225/253898942804, c_0011_0 - 1, c_0011_10 + 154414913/4882671977*c_1001_10^7 + 3452210983/4882671977*c_1001_10^6 + 18501952335/4882671977*c_1001_10^5 + 11186374240/4882671977*c_1001_10^4 - 1008991423/4882671977*c_1001_10^3 + 15383259728/4882671977*c_1001_10^2 - 14436591476/4882671977*c_1001_10 - 598138197/4882671977, c_0011_11 + 79386277/4882671977*c_1001_10^7 + 1749579653/4882671977*c_1001_10^6 + 8941495598/4882671977*c_1001_10^5 + 2588422131/4882671977*c_1001_10^4 - 3122541903/4882671977*c_1001_10^3 + 7278199922/4882671977*c_1001_10^2 - 7459796547/4882671977*c_1001_10 + 406955790/4882671977, c_0011_4 - 191364423/4882671977*c_1001_10^7 - 4343725403/4882671977*c_1001_10^6 - 24410649806/4882671977*c_1001_10^5 - 22112837173/4882671977*c_1001_10^4 - 5469701885/4882671977*c_1001_10^3 - 17005369801/4882671977*c_1001_10^2 + 15209340600/4882671977*c_1001_10 - 4452633243/4882671977, c_0011_9 + 154414913/4882671977*c_1001_10^7 + 3452210983/4882671977*c_1001_10^6 + 18501952335/4882671977*c_1001_10^5 + 11186374240/4882671977*c_1001_10^4 - 1008991423/4882671977*c_1001_10^3 + 15383259728/4882671977*c_1001_10^2 - 14436591476/4882671977*c_1001_10 + 4284533780/4882671977, c_0101_0 - 124509102/4882671977*c_1001_10^7 - 2723242240/4882671977*c_1001_10^6 - 13589693543/4882671977*c_1001_10^5 - 2251595723/4882671977*c_1001_10^4 + 2770497341/4882671977*c_1001_10^3 - 13521825586/4882671977*c_1001_10^2 + 14216148325/4882671977*c_1001_10 - 8747929831/4882671977, c_0101_1 + 199345590/4882671977*c_1001_10^7 + 4452654779/4882671977*c_1001_10^6 + 23782940905/4882671977*c_1001_10^5 + 13653947663/4882671977*c_1001_10^4 - 3978491526/4882671977*c_1001_10^3 + 12922466575/4882671977*c_1001_10^2 - 20072408161/4882671977*c_1001_10 + 6430601574/4882671977, c_0101_11 + 74836488/4882671977*c_1001_10^7 + 1729412539/4882671977*c_1001_10^6 + 10193247362/4882671977*c_1001_10^5 + 11402351940/4882671977*c_1001_10^4 - 1207994185/4882671977*c_1001_10^3 - 599359011/4882671977*c_1001_10^2 - 5856259836/4882671977*c_1001_10 - 2317328257/4882671977, c_0101_5 - 119959313/4882671977*c_1001_10^7 - 2703075126/4882671977*c_1001_10^6 - 14841445307/4882671977*c_1001_10^5 - 11065525532/4882671977*c_1001_10^4 + 855949623/4882671977*c_1001_10^3 - 5644266653/4882671977*c_1001_10^2 + 12612611614/4882671977*c_1001_10 - 1140973807/4882671977, c_0101_6 + 128643303/4882671977*c_1001_10^7 + 2940178869/4882671977*c_1001_10^6 + 16871565602/4882671977*c_1001_10^5 + 17488770012/4882671977*c_1001_10^4 + 5647450748/4882671977*c_1001_10^3 + 9192869930/4882671977*c_1001_10^2 - 5412098474/4882671977*c_1001_10 - 689962564/4882671977, c_0110_6 + 71405110/4882671977*c_1001_10^7 + 1640650277/4882671977*c_1001_10^6 + 9569204499/4882671977*c_1001_10^5 + 11047311641/4882671977*c_1001_10^4 + 6325651508/4882671977*c_1001_10^3 + 11361103148/4882671977*c_1001_10^2 - 2596728986/4882671977*c_1001_10 - 1571012541/4882671977, c_1001_10^8 + 22*c_1001_10^7 + 112*c_1001_10^6 + 33*c_1001_10^5 - 18*c_1001_10^4 + 90*c_1001_10^3 - 132*c_1001_10^2 + 62*c_1001_10 - 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 7.240 Total time: 7.450 seconds, Total memory usage: 64.12MB