Magma V2.19-8 Tue Aug 20 2013 16:08:59 on localhost [Seed = 4038159949] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m248 geometric_solution 4.22446260 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 2 1 3 0132 0132 1023 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 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 -0.157733679302 1.102385963344 0 2 0 3 0132 2310 1023 2310 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 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 -0.157733679302 1.102385963344 2 0 2 1 2310 0132 3201 3201 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 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 0.127190760830 0.888924356718 1 4 0 4 3201 0132 0132 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637746589919 1.283732855604 3 3 4 4 3201 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.315270631680 0.233712784808 ==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_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_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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : negation(d['c_0011_3']), '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_4' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 2940/10841*c_0110_4^10 + 6016/10841*c_0110_4^9 + 5566/10841*c_0110_4^8 - 10298/10841*c_0110_4^7 + 7537/10841*c_0110_4^6 + 7458/10841*c_0110_4^5 + 8253/10841*c_0110_4^4 - 75145/10841*c_0110_4^3 - 82444/10841*c_0110_4^2 - 55522/10841*c_0110_4 - 22350/10841, c_0011_0 - 1, c_0011_3 + 2048/10841*c_0110_4^10 - 3645/10841*c_0110_4^9 - 4659/10841*c_0110_4^8 + 10330/10841*c_0110_4^7 - 5855/10841*c_0110_4^6 - 15284/10841*c_0110_4^5 - 6988/10841*c_0110_4^4 + 37375/10841*c_0110_4^3 + 30468/10841*c_0110_4^2 - 24216/10841*c_0110_4 - 6998/10841, c_0101_0 - 2902/10841*c_0110_4^10 + 5599/10841*c_0110_4^9 + 8031/10841*c_0110_4^8 - 16522/10841*c_0110_4^7 + 5618/10841*c_0110_4^6 + 22716/10841*c_0110_4^5 - 4708/10841*c_0110_4^4 - 68237/10841*c_0110_4^3 - 66083/10841*c_0110_4^2 + 15935/10841*c_0110_4 + 15993/10841, c_0101_2 + 6835/10841*c_0110_4^10 + 26/10841*c_0110_4^9 - 18508/10841*c_0110_4^8 + 1116/10841*c_0110_4^7 - 14517/10841*c_0110_4^6 - 69663/10841*c_0110_4^5 - 127984/10841*c_0110_4^4 - 94906/10841*c_0110_4^3 + 8625/10841*c_0110_4^2 + 13405/10841*c_0110_4 + 11804/10841, c_0110_4^11 - 3*c_0110_4^9 - c_0110_4^7 - 10*c_0110_4^6 - 19*c_0110_4^5 - 10*c_0110_4^4 + 8*c_0110_4^3 + 6*c_0110_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB