Magma V2.19-8 Tue Aug 20 2013 16:16:16 on localhost [Seed = 678016202] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0525 geometric_solution 4.53906403 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 -1 0 0 0 1 -1 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 -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 0.571843456622 0.478852050542 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 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 -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 1.400223569425 0.381921657188 1 3 3 4 0132 1230 3012 0132 0 0 0 0 0 -1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.137496824288 0.577236885872 4 2 2 1 0132 1230 3012 0132 0 0 0 0 0 -1 0 1 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 -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 1.137496824288 0.577236885872 3 5 2 5 0132 0132 0132 1023 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 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 1.220255396624 0.323271547813 6 4 6 4 0132 0132 1023 1023 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 -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 0.913086348362 0.258491477715 5 6 5 6 0132 2310 1023 3201 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 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 0.864792465149 0.162146310129 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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' : 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_0011_1']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : d['c_0011_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 17238633060/386449969*c_0101_6^7 - 118045288950/386449969*c_0101_6^6 - 361164327162/386449969*c_0101_6^5 - 202668030721/386449969*c_0101_6^4 - 517318057461/386449969*c_0101_6^3 + 601001610618/386449969*c_0101_6^2 + 156301605522/386449969*c_0101_6 - 141706505066/386449969, c_0011_0 - 1, c_0011_1 + 180631/325021*c_0101_6^7 + 1369618/325021*c_0101_6^6 + 4759496/325021*c_0101_6^5 + 5396901/325021*c_0101_6^4 + 8664980/325021*c_0101_6^3 - 524758/325021*c_0101_6^2 - 3040096/325021*c_0101_6 - 186944/325021, c_0101_0 - 138705/325021*c_0101_6^7 - 1032319/325021*c_0101_6^6 - 3513985/325021*c_0101_6^5 - 3677425/325021*c_0101_6^4 - 6188407/325021*c_0101_6^3 + 1388156/325021*c_0101_6^2 + 2469560/325021*c_0101_6 + 39078/325021, c_0101_1 - 333382/325021*c_0101_6^7 - 2523466/325021*c_0101_6^6 - 8748691/325021*c_0101_6^5 - 9836592/325021*c_0101_6^4 - 15851201/325021*c_0101_6^3 + 1073699/325021*c_0101_6^2 + 5763357/325021*c_0101_6 + 743672/325021, c_0101_3 + 261478/325021*c_0101_6^7 + 1976310/325021*c_0101_6^6 + 6866778/325021*c_0101_6^5 + 7837475/325021*c_0101_6^4 + 12977679/325021*c_0101_6^3 - 587776/325021*c_0101_6^2 - 3980486/325021*c_0101_6 - 625588/325021, c_0101_5 - 160961/325021*c_0101_6^7 - 1217154/325021*c_0101_6^6 - 4228038/325021*c_0101_6^5 - 4799208/325021*c_0101_6^4 - 7851690/325021*c_0101_6^3 + 462896/325021*c_0101_6^2 + 2410052/325021*c_0101_6 + 416126/325021, c_0101_6^8 + 7*c_0101_6^7 + 22*c_0101_6^6 + 15*c_0101_6^5 + 32*c_0101_6^4 - 30*c_0101_6^3 - 14*c_0101_6^2 + 7*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB