Magma V2.19-8 Tue Aug 20 2013 16:14:30 on localhost [Seed = 1966401909] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s484 geometric_solution 4.85343933 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.609722609917 1.086422274753 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359836293181 0.263593680121 4 1 3 5 0132 0132 3201 0132 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 0 0 0 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.118272239853 1.129939342672 2 5 4 1 2310 1023 2310 0132 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 -1 0 1 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 -0.118272239853 1.129939342672 2 3 4 4 0132 3201 2031 1302 0 0 0 0 0 -1 1 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 -1 1 0 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954118649603 1.763485980801 3 5 2 5 1023 2310 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 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 0.091630545151 0.875412168450 ==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_3']), 'c_1100_4' : d['c_0101_4'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_1, c_0011_3, c_0101_0, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1024/1519*c_0110_5^10 + 571/1519*c_0110_5^9 + 1429/1519*c_0110_5^8 - 1049/1519*c_0110_5^7 + 74/49*c_0110_5^6 - 2202/1519*c_0110_5^5 - 2712/1519*c_0110_5^4 - 521/1519*c_0110_5^3 - 2568/1519*c_0110_5^2 - 1802/1519*c_0110_5 + 2648/1519, c_0011_0 - 1, c_0011_1 - 8/31*c_0110_5^10 - 11/31*c_0110_5^9 - 24/31*c_0110_5^8 - 9/31*c_0110_5^7 - c_0110_5^6 + 8/31*c_0110_5^5 + 27/31*c_0110_5^4 + 45/31*c_0110_5^3 + 53/31*c_0110_5^2 + 32/31*c_0110_5 + 51/31, c_0011_3 - 3/31*c_0110_5^10 - 8/31*c_0110_5^9 - 9/31*c_0110_5^8 - 15/31*c_0110_5^7 + 3/31*c_0110_5^5 + 45/31*c_0110_5^4 + 13/31*c_0110_5^3 + 16/31*c_0110_5^2 + 43/31*c_0110_5 - 8/31, c_0101_0 + 26/31*c_0110_5^10 - 3/31*c_0110_5^9 + 16/31*c_0110_5^8 - 56/31*c_0110_5^7 + 2*c_0110_5^6 - 57/31*c_0110_5^5 - 49/31*c_0110_5^4 + 94/31*c_0110_5^3 - 87/31*c_0110_5^2 + 51/31*c_0110_5 + 28/31, c_0101_4 + 7/31*c_0110_5^10 - 2/31*c_0110_5^9 - 10/31*c_0110_5^8 - 27/31*c_0110_5^7 - 7/31*c_0110_5^5 - 43/31*c_0110_5^4 + 42/31*c_0110_5^3 + 4/31*c_0110_5^2 + 3/31*c_0110_5 + 29/31, c_0110_5^11 + c_0110_5^10 + 2*c_0110_5^9 + 2*c_0110_5^7 - c_0110_5^6 - 3*c_0110_5^5 - 5*c_0110_5^3 - 2*c_0110_5^2 - c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB