Magma V2.19-8 Tue Aug 20 2013 16:14:31 on localhost [Seed = 3103335608] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s509 geometric_solution 4.89715709 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 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.031020830422 0.815668877137 0 5 2 5 0132 0132 2031 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.319402395964 0.459092322305 3 0 4 1 0213 0132 2031 1302 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 -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 0.403454784215 0.471943293446 2 3 3 0 0213 3201 2310 0132 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 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 -0.346315063191 0.662824651742 4 4 0 2 1230 3012 0132 1302 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 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 0.690501937619 0.770397757393 5 1 5 1 2310 0132 3201 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815038445121 0.445840981507 ==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_0']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 131011/136*c_0101_5^11 - 82609/136*c_0101_5^10 - 58577/8*c_0101_5^9 + 379487/68*c_0101_5^8 + 3843413/136*c_0101_5^7 - 1277303/68*c_0101_5^6 - 1495615/34*c_0101_5^5 + 943317/34*c_0101_5^4 + 2460755/136*c_0101_5^3 - 1552177/136*c_0101_5^2 - 328439/136*c_0101_5 + 207133/136, c_0011_0 - 1, c_0011_3 + 179/17*c_0101_5^11 + 62/17*c_0101_5^10 - 81*c_0101_5^9 - 297/17*c_0101_5^8 + 5544/17*c_0101_5^7 + 1769/17*c_0101_5^6 - 8728/17*c_0101_5^5 - 3027/17*c_0101_5^4 + 3898/17*c_0101_5^3 + 1317/17*c_0101_5^2 - 543/17*c_0101_5 - 182/17, c_0011_4 + 179/34*c_0101_5^11 + 181/34*c_0101_5^10 - 81/2*c_0101_5^9 - 616/17*c_0101_5^8 + 5663/34*c_0101_5^7 + 2780/17*c_0101_5^6 - 4415/17*c_0101_5^5 - 4684/17*c_0101_5^4 + 3881/34*c_0101_5^3 + 4751/34*c_0101_5^2 - 543/34*c_0101_5 - 777/34, c_0101_0 - c_0101_5^11 + 8*c_0101_5^9 - c_0101_5^8 - 33*c_0101_5^7 + c_0101_5^6 + 58*c_0101_5^5 - 37*c_0101_5^3 + 9*c_0101_5, c_0101_1 - 7*c_0101_5^11 + 55*c_0101_5^9 - 7*c_0101_5^8 - 223*c_0101_5^7 + 6*c_0101_5^6 + 373*c_0101_5^5 + c_0101_5^4 - 201*c_0101_5^3 + 34*c_0101_5, c_0101_5^12 - 8*c_0101_5^10 + c_0101_5^9 + 33*c_0101_5^8 - c_0101_5^7 - 58*c_0101_5^6 + 37*c_0101_5^4 - 10*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB