Magma V2.19-8 Tue Aug 20 2013 16:18:55 on localhost [Seed = 4273955721] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3075 geometric_solution 6.23909410 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 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 0 1 -1 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 0.221738727452 0.615949129968 0 2 5 4 0132 3201 0132 0132 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 -1 0 0 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 0.490529197800 2.299244160344 6 0 1 6 0132 0132 2310 3201 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 0 0 0 0 0.221738727452 0.615949129968 4 0 6 0 1230 1302 0321 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482597521436 1.437248288457 5 3 1 5 1302 3012 0132 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 1 0 -1 1 0 -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 0 0.492997874907 0.410246275645 6 4 4 1 3012 2031 1230 0132 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 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492997874907 0.410246275645 2 2 3 5 0132 2310 0321 1230 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 -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 0.482597521436 1.437248288457 ==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' : d['c_0101_1'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_0110_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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_0110_4']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_3']})} 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_3, c_0011_4, c_0101_1, c_0101_3, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 2245/673*c_1001_0^8 - 1913/673*c_1001_0^7 - 11242/673*c_1001_0^6 + 7164/673*c_1001_0^5 + 22355/673*c_1001_0^4 - 45477/673*c_1001_0^3 + 29064/673*c_1001_0^2 + 26266/673*c_1001_0 + 7419/673, c_0011_0 - 1, c_0011_3 + 638/673*c_1001_0^8 + 466/673*c_1001_0^7 - 2160/673*c_1001_0^6 - 1038/673*c_1001_0^5 + 3664/673*c_1001_0^4 - 8046/673*c_1001_0^3 - 2625/673*c_1001_0^2 + 274/673*c_1001_0 - 336/673, c_0011_4 + 337/673*c_1001_0^8 + 301/673*c_1001_0^7 - 1219/673*c_1001_0^6 - 812/673*c_1001_0^5 + 2332/673*c_1001_0^4 - 3750/673*c_1001_0^3 - 2991/673*c_1001_0^2 + 1419/673*c_1001_0 + 274/673, c_0101_1 - 638/673*c_1001_0^8 - 466/673*c_1001_0^7 + 2160/673*c_1001_0^6 + 1038/673*c_1001_0^5 - 3664/673*c_1001_0^4 + 8046/673*c_1001_0^3 + 2625/673*c_1001_0^2 - 274/673*c_1001_0 + 336/673, c_0101_3 - 1, c_0110_4 + 584/673*c_1001_0^8 + 935/673*c_1001_0^7 - 1743/673*c_1001_0^6 - 2851/673*c_1001_0^5 + 2837/673*c_1001_0^4 - 4154/673*c_1001_0^3 - 9367/673*c_1001_0^2 - 207/673*c_1001_0 + 1030/673, c_1001_0^9 - c_1001_0^8 - 5*c_1001_0^7 + 4*c_1001_0^6 + 10*c_1001_0^5 - 22*c_1001_0^4 + 15*c_1001_0^3 + 12*c_1001_0^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB