Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 1680209993] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s205 geometric_solution 4.33093551 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 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 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 0.186776221497 0.736362417769 0 2 5 5 0132 1230 3201 0132 0 0 0 0 0 1 0 -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 0 -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 0.260259289536 0.274808194670 4 0 1 3 3012 0132 3012 1230 0 0 0 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 0 0 0 0 -1 1 0 1 0 -1 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 0.675680541837 0.611818998138 2 3 3 0 3012 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 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 1.219577519726 1.199308784623 4 4 0 2 1302 2031 0132 1230 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 1 0 -1 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.290969752410 0.515847438619 1 5 1 5 2310 2310 0132 3201 0 0 0 0 0 -1 1 0 -1 0 0 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 -1 1 0 -1 0 0 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 -1.493124638626 0.642385197816 ==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_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_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' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0011_4'], '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_3, c_0011_4, c_0011_5, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 6980245867/5524855375*c_0101_3^11 + 2418609507/5524855375*c_0101_3^10 - 7414674204/1104971075*c_0101_3^9 + 10199391866/5524855375*c_0101_3^8 - 59557605466/5524855375*c_0101_3^7 - 262484536501/5524855375*c_0101_3^6 + 42431880533/1104971075*c_0101_3^5 + 16643148657/424988875*c_0101_3^4 - 19164377302/424988875*c_0101_3^3 + 300836941404/5524855375*c_0101_3^2 + 79415131509/5524855375*c_0101_3 - 79419042837/5524855375, c_0011_0 - 1, c_0011_3 - 2099375/44198843*c_0101_3^11 - 3909504/44198843*c_0101_3^10 + 13624902/44198843*c_0101_3^9 + 8470286/44198843*c_0101_3^8 + 2362117/44198843*c_0101_3^7 + 133500623/44198843*c_0101_3^6 - 12727066/44198843*c_0101_3^5 - 13750652/3399911*c_0101_3^4 + 9779331/3399911*c_0101_3^3 - 128408910/44198843*c_0101_3^2 - 136761085/44198843*c_0101_3 + 27019930/44198843, c_0011_4 - 13428682/44198843*c_0101_3^11 - 691734/44198843*c_0101_3^10 + 68404980/44198843*c_0101_3^9 - 32093921/44198843*c_0101_3^8 + 130884588/44198843*c_0101_3^7 + 432642428/44198843*c_0101_3^6 - 459695500/44198843*c_0101_3^5 - 24357238/3399911*c_0101_3^4 + 30728929/3399911*c_0101_3^3 - 484166798/44198843*c_0101_3^2 - 95806865/44198843*c_0101_3 + 143694078/44198843, c_0011_5 + 13325044/44198843*c_0101_3^11 + 10454627/44198843*c_0101_3^10 - 73885882/44198843*c_0101_3^9 - 4254971/44198843*c_0101_3^8 - 88115967/44198843*c_0101_3^7 - 589515221/44198843*c_0101_3^6 + 289734849/44198843*c_0101_3^5 + 46660024/3399911*c_0101_3^4 - 40556826/3399911*c_0101_3^3 + 563079224/44198843*c_0101_3^2 + 278635194/44198843*c_0101_3 - 126788742/44198843, c_0101_0 - 14836323/44198843*c_0101_3^11 - 5171074/44198843*c_0101_3^10 + 72576187/44198843*c_0101_3^9 - 14984846/44198843*c_0101_3^8 + 147153015/44198843*c_0101_3^7 + 526052713/44198843*c_0101_3^6 - 340659708/44198843*c_0101_3^5 - 31050899/3399911*c_0101_3^4 + 24297469/3399911*c_0101_3^3 - 529463279/44198843*c_0101_3^2 - 267026481/44198843*c_0101_3 + 94163340/44198843, c_0101_3^12 + c_0101_3^11 - 5*c_0101_3^10 - 2*c_0101_3^9 - 8*c_0101_3^8 - 43*c_0101_3^7 + 5*c_0101_3^6 + 48*c_0101_3^5 - 13*c_0101_3^4 + 22*c_0101_3^3 + 37*c_0101_3^2 - c_0101_3 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB