Magma V2.19-8 Tue Aug 20 2013 16:18:55 on localhost [Seed = 2261195761] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3079 geometric_solution 6.24260990 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 0 1 1 0 3012 0132 3201 1230 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 0 0 0 0 0 0 0 0 0 0 1 -1 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 -0.298731299988 0.397693497341 0 0 3 2 2310 0132 0132 0132 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503508910798 1.391920582725 4 3 1 5 0132 2031 0132 0132 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 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 0.554127414995 0.483291511787 2 6 5 1 1302 0132 3201 0132 0 0 0 0 0 0 -1 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 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 0.554127414995 0.483291511787 2 6 6 6 0132 1023 1230 1302 1 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 -1 0 1 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 0.572803522587 0.633070218225 3 5 2 5 2310 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416689008493 1.240894166744 4 3 4 4 1023 0132 2031 3012 0 1 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 0 0 0 1 0 -1 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 0.572803522587 0.633070218225 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : 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' : 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' : negation(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_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_0101_6']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : negation(d['c_0101_0']), '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_2']), 'c_0011_6' : 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_0011_2'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_6'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_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: 10 Groebner basis: [ t - 71904763519499349/14201151824398864*c_0101_4^9 + 452582182311071821/14201151824398864*c_0101_4^8 + 4613388540706050947/14201151824398864*c_0101_4^7 + 5035443896316863005/7100575912199432*c_0101_4^6 - 9992734594601455315/14201151824398864*c_0101_4^5 - 47964208963975699617/14201151824398864*c_0101_4^4 + 77173937553951758479/14201151824398864*c_0101_4^3 - 31526004364086436601/14201151824398864*c_0101_4^2 - 6491835102170175577/14201151824398864*c_0101_4 + 3482272825128910611/14201151824398864, c_0011_0 - 1, c_0011_2 - 1009206784804/68274768386533*c_0101_4^9 + 5802054754986/68274768386533*c_0101_4^8 + 68266764045019/68274768386533*c_0101_4^7 + 176474053797216/68274768386533*c_0101_4^6 - 67641625776787/68274768386533*c_0101_4^5 - 768759536806781/68274768386533*c_0101_4^4 + 690507153684229/68274768386533*c_0101_4^3 + 172001421041984/68274768386533*c_0101_4^2 - 258190071934206/68274768386533*c_0101_4 - 45754464316018/68274768386533, c_0011_5 + 504586467301/68274768386533*c_0101_4^9 - 2026924442831/68274768386533*c_0101_4^8 - 38930479373997/68274768386533*c_0101_4^7 - 148131483856318/68274768386533*c_0101_4^6 - 137221689207770/68274768386533*c_0101_4^5 + 368001779238553/68274768386533*c_0101_4^4 + 227120866221184/68274768386533*c_0101_4^3 - 558214943692003/68274768386533*c_0101_4^2 + 128154082111296/68274768386533*c_0101_4 + 93716066067796/68274768386533, c_0101_0 + 1009206784804/68274768386533*c_0101_4^9 - 5802054754986/68274768386533*c_0101_4^8 - 68266764045019/68274768386533*c_0101_4^7 - 176474053797216/68274768386533*c_0101_4^6 + 67641625776787/68274768386533*c_0101_4^5 + 768759536806781/68274768386533*c_0101_4^4 - 690507153684229/68274768386533*c_0101_4^3 - 172001421041984/68274768386533*c_0101_4^2 + 326464840320739/68274768386533*c_0101_4 + 45754464316018/68274768386533, c_0101_1 + 2489938178408/68274768386533*c_0101_4^9 - 14596826659232/68274768386533*c_0101_4^8 - 166455457924961/68274768386533*c_0101_4^7 - 418360073813265/68274768386533*c_0101_4^6 + 192006308960598/68274768386533*c_0101_4^5 + 1817514281795067/68274768386533*c_0101_4^4 - 1883990298241890/68274768386533*c_0101_4^3 + 39024264356285/68274768386533*c_0101_4^2 + 473332598536025/68274768386533*c_0101_4 + 26598419261893/68274768386533, c_0101_4^10 - 6*c_0101_4^9 - 66*c_0101_4^8 - 159*c_0101_4^7 + 97*c_0101_4^6 + 706*c_0101_4^5 - 876*c_0101_4^4 + 132*c_0101_4^3 + 212*c_0101_4^2 - 24*c_0101_4 - 13, c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB