Magma V2.19-8 Tue Aug 20 2013 16:16:16 on localhost [Seed = 2968595538] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0538 geometric_solution 4.55702882 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.374141553269 0.257502584610 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 -1 1 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 1 -1 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 1.110633049777 1.116514743228 3 1 1 4 0132 3201 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726873171488 0.128581946629 2 4 5 4 0132 1302 0132 2031 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 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 0.695821164590 0.345285702451 5 3 2 3 0132 1302 0132 2031 0 0 0 0 0 0 1 -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 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 0.695821164590 0.345285702451 4 6 6 3 0132 0132 1023 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 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 0.708618411975 0.260610961549 6 5 5 6 3201 0132 1023 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.981744113481 0.474490066335 ==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' : 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' : 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_2']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], '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' : d['c_0011_2'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], '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_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0101_0'], '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_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: 11 Groebner basis: [ t + 11501188841881/6467653883097*c_0101_6^10 - 470527061568/239542736411*c_0101_6^9 + 81261618343693/6467653883097*c_0101_6^8 - 67401579481571/718628209233*c_0101_6^7 + 1590362105323291/6467653883097*c_0101_6^6 - 1210973740625354/6467653883097*c_0101_6^5 - 204600742952107/2155884627699*c_0101_6^4 - 7522079840813/718628209233*c_0101_6^3 + 4666403727511/2155884627699*c_0101_6^2 + 1551124830098/239542736411*c_0101_6 - 6542307793558/6467653883097, c_0011_0 - 1, c_0011_2 - 1340940746/6758259021*c_0101_6^10 + 141837385/750917669*c_0101_6^9 - 9429632177/6758259021*c_0101_6^8 + 7716732896/750917669*c_0101_6^7 - 175761019085/6758259021*c_0101_6^\ 6 + 122248878301/6758259021*c_0101_6^5 + 23515200197/2252753007*c_0101_6^4 + 3196330260/750917669*c_0101_6^3 + 7775435476/2252753007*c_0101_6^2 - 1087862044/750917669*c_0101_6 + 1963128881/6758259021, c_0101_0 + 4057140415/6758259021*c_0101_6^10 - 486771447/750917669*c_0101_6^9 + 28433556685/6758259021*c_0101_6^8 - 23638061349/750917669*c_0101_6^7 + 554268496492/6758259021*c_0101_6^6 - 403838565293/6758259021*c_0101_6^5 - 88654236880/2252753007*c_0101_6^4 + 5231316324/750917669*c_0101_6^3 - 17722162892/2252753007*c_0101_6^2 + 1271464812/750917669*c_0101_6 - 2688750571/6758259021, c_0101_1 + 1622773099/6758259021*c_0101_6^10 - 315604454/750917669*c_0101_6^9 + 12159760696/6758259021*c_0101_6^8 - 10251168471/750917669*c_0101_6^7 + 275985567979/6758259021*c_0101_6^6 - 289606012115/6758259021*c_0101_6^5 - 17795179669/2252753007*c_0101_6^4 + 14876152011/750917669*c_0101_6^3 - 4021501871/2252753007*c_0101_6^2 + 1828118468/750917669*c_0101_6 - 609600016/6758259021, c_0101_3 - 4038130144/6758259021*c_0101_6^10 + 532590220/750917669*c_0101_6^9 - 28287196216/6758259021*c_0101_6^8 + 23825979383/750917669*c_0101_6^7 - 571168084291/6758259021*c_0101_6^6 + 437194111595/6758259021*c_0101_6^5 + 92877695755/2252753007*c_0101_6^4 - 10988966386/750917669*c_0101_6^3 + 3287007659/2252753007*c_0101_6^2 - 2880659020/750917669*c_0101_6 - 3184958906/6758259021, c_0101_5 - 1263166457/6758259021*c_0101_6^10 + 185090608/750917669*c_0101_6^9 - 9042799508/6758259021*c_0101_6^8 + 7595121705/750917669*c_0101_6^7 - 187519903613/6758259021*c_0101_6^\ 6 + 160806992803/6758259021*c_0101_6^5 + 21338038478/2252753007*c_0101_6^4 - 3560491314/750917669*c_0101_6^3 + 2803227319/2252753007*c_0101_6^2 - 2434712349/750917669*c_0101_6 - 178314907/6758259021, c_0101_6^11 - c_0101_6^10 + 7*c_0101_6^9 - 52*c_0101_6^8 + 133*c_0101_6^7 - 93*c_0101_6^6 - 61*c_0101_6^5 - 6*c_0101_6^4 - 15*c_0101_6^3 + 6*c_0101_6^2 - c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB