Magma V2.19-8 Tue Aug 20 2013 16:14:54 on localhost [Seed = 3785391498] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s870 geometric_solution 5.55651882 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 0 2 0 0132 1302 0132 2031 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 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.094038993704 1.117009509082 0 2 3 3 0132 3201 0213 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 -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 0 0 0 0.377564638700 1.001009375165 4 5 1 0 0132 0132 2310 0132 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 1 0 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377564638700 1.001009375165 5 1 1 4 2103 0213 0132 3201 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 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 0.447973914575 0.720438002401 2 3 5 5 0132 2310 2103 1023 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 -2 1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.486830734840 1.319367847968 4 2 3 4 2103 0132 2103 1023 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502233667227 0.435341860586 ==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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0110_3']), 'c_1100_4' : d['c_0110_3'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(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_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0110_3']), 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0110_3']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_2']), '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_0011_3, c_0101_0, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 192456134609/10327119176*c_0110_3^9 - 751285543179/10327119176*c_0110_3^8 - 1238724866793/10327119176*c_0110_3^7 - 1317694465369/2581779794*c_0110_3^6 + 7074122594611/10327119176*c_0110_3^5 + 1001256771093/938829016*c_0110_3^4 + 125646937843/469414508*c_0110_3^3 + 569334976757/5163559588*c_0110_3^2 + 2756908365257/10327119176*c_0110_3 - 178895558569/10327119176, c_0011_0 - 1, c_0011_2 - 20176539/117353627*c_0110_3^9 + 82120799/117353627*c_0110_3^8 + 119141582/117353627*c_0110_3^7 + 523759617/117353627*c_0110_3^6 - 854961840/117353627*c_0110_3^5 - 1118428390/117353627*c_0110_3^4 - 76136849/117353627*c_0110_3^3 + 67248065/117353627*c_0110_3^2 - 154744238/117353627*c_0110_3 + 37786346/117353627, c_0011_3 - 840016/117353627*c_0110_3^9 + 14624420/117353627*c_0110_3^8 - 32543909/117353627*c_0110_3^7 - 76046494/117353627*c_0110_3^6 - 377398238/117353627*c_0110_3^5 + 206395893/117353627*c_0110_3^4 + 893966342/117353627*c_0110_3^3 + 463658901/117353627*c_0110_3^2 + 16948866/117353627*c_0110_3 + 129601266/117353627, c_0101_0 - 14323406/117353627*c_0110_3^9 + 61372513/117353627*c_0110_3^8 + 74244892/117353627*c_0110_3^7 + 346431494/117353627*c_0110_3^6 - 708321249/117353627*c_0110_3^5 - 717007937/117353627*c_0110_3^4 + 153828021/117353627*c_0110_3^3 + 262195805/117353627*c_0110_3^2 - 137769659/117353627*c_0110_3 + 73988886/117353627, c_0101_2 + 7473419/117353627*c_0110_3^9 - 31140790/117353627*c_0110_3^8 - 40500002/117353627*c_0110_3^7 - 189233159/117353627*c_0110_3^6 + 317460006/117353627*c_0110_3^5 + 346471113/117353627*c_0110_3^4 - 60565742/117353627*c_0110_3^3 + 193663148/117353627*c_0110_3^2 + 258075982/117353627*c_0110_3 - 11264356/117353627, c_0110_3^10 - 4*c_0110_3^9 - 6*c_0110_3^8 - 27*c_0110_3^7 + 39*c_0110_3^6 + 52*c_0110_3^5 + 11*c_0110_3^4 + 8*c_0110_3^3 + 15*c_0110_3^2 - 2*c_0110_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB