Magma V2.19-8 Tue Aug 20 2013 16:14:25 on localhost [Seed = 3566553303] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s409 geometric_solution 4.66704279 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 1302 2310 2031 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 0 1 -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 -0.948397971610 0.643448481466 0 0 3 2 0132 3201 0132 0132 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 0 0 0 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 1.003418070164 1.197310426299 4 3 1 3 0132 2031 0132 3012 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 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 0.756483712653 0.596428454637 2 4 2 1 1302 2310 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756483712653 0.596428454637 2 5 5 3 0132 0132 1023 3201 0 0 0 0 0 1 0 -1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385912171566 0.241249469324 5 4 4 5 3201 0132 1023 2310 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 0 1 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.092922503608 0.982192148740 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : 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' : negation(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_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(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' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 206763932285129/3935508901060*c_0101_5^9 + 2936801954064/17888676823*c_0101_5^8 - 1432591602965373/787101780212*c_0101_5^7 + 18523894156657471/3935508901060*c_0101_5^6 - 13368703468404408/983877225265*c_0101_5^5 + 5280175781319177/983877225265*c_0101_5^4 + 11017946189136399/983877225265*c_0101_5^3 + 6406020444829623/787101780212*c_0101_5^2 + 19601724325855267/3935508901060*c_0101_5 + 4134258374776787/3935508901060, c_0011_0 - 1, c_0011_2 - 5550366299/35777353646*c_0101_1*c_0101_5^9 - 14206979053/35777353646*c_0101_1*c_0101_5^8 + 100279430384/17888676823*c_0101_1*c_0101_5^7 - 609922513263/35777353646*c_0101_1*c_0101_5^6 + 1771627778363/35777353646*c_0101_1*c_0101_5^5 - 1541421419555/35777353646*c_0101_1*c_0101_5^4 - 393312781833/35777353646*c_0101_1*c_0101_5^3 - 283906047904/17888676823*c_0101_1*c_0101_5^2 - 214767391753/35777353646*c_0101_1*c_0101_5 + 11840805286/17888676823*c_0101_1, c_0101_0 - 27662063432/89443384115*c_0101_5^9 - 14812040184/17888676823*c_0101_5^8 + 198351931907/17888676823*c_0101_5^7 - 2921474164943/89443384115*c_0101_5^6 + 8448749796126/89443384115*c_0101_5^5 - 6563272156619/89443384115*c_0101_5^4 - 3065754005473/89443384115*c_0101_5^3 - 562137782731/17888676823*c_0101_5^2 - 1230672621496/89443384115*c_0101_5 + 17744249394/89443384115, c_0101_1^2 + 27662063432/89443384115*c_0101_5^9 + 14812040184/17888676823*c_0101_5^8 - 198351931907/17888676823*c_0101_5^7 + 2921474164943/89443384115*c_0101_5^6 - 8448749796126/89443384115*c_0101_5^5 + 6563272156619/89443384115*c_0101_5^4 + 3065754005473/89443384115*c_0101_5^3 + 562137782731/17888676823*c_0101_5^2 + 1230672621496/89443384115*c_0101_5 - 107187633509/89443384115, c_0101_4 - 13422557961/89443384115*c_0101_5^9 - 7320292542/17888676823*c_0101_5^8 + 95942889276/17888676823*c_0101_5^7 - 1392675357429/89443384115*c_0101_5^6 + 4021450433583/89443384115*c_0101_5^5 - 2967981483927/89443384115*c_0101_5^4 - 1703156400644/89443384115*c_0101_5^3 - 289453988396/17888676823*c_0101_5^2 - 647705969248/89443384115*c_0101_5 + 21336436027/89443384115, c_0101_5^10 + 3*c_0101_5^9 - 35*c_0101_5^8 + 94*c_0101_5^7 - 271*c_0101_5^6 + 138*c_0101_5^5 + 190*c_0101_5^4 + 137*c_0101_5^3 + 78*c_0101_5^2 + 12*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB