Magma V2.19-8 Tue Aug 20 2013 16:14:27 on localhost [Seed = 2614757272] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s445 geometric_solution 4.75939708 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 2 0132 0132 0132 3120 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 1 -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 0.840326809612 0.743085934327 0 3 5 4 0132 0132 0132 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 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 0.015091701595 0.632121309445 0 0 3 5 3120 0132 2103 0321 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 1 -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 0.276407937100 1.286345251173 2 1 5 0 2103 0132 3201 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 0 1 -1 -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 0.611313553619 0.391712516011 5 4 1 4 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.432674607047 0.696144676748 3 2 4 1 2310 0321 3201 0132 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 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.085362715566 1.092208765353 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : negation(d['c_0101_5']), 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_5']), '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_4, c_0011_5, c_0101_0, c_0101_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 653/2816*c_1001_0^8 + 4391/2816*c_1001_0^7 - 11015/2816*c_1001_0^6 + 4149/704*c_1001_0^5 - 5901/704*c_1001_0^4 + 24415/2816*c_1001_0^3 - 1705/256*c_1001_0^2 + 809/128*c_1001_0 + 987/2816, c_0011_0 - 1, c_0011_4 + 3/16*c_1001_0^8 - 15/16*c_1001_0^7 + 25/16*c_1001_0^6 - 15/8*c_1001_0^5 + 15/8*c_1001_0^4 - 3/16*c_1001_0^3 + 25/16*c_1001_0^2 + c_1001_0 + 13/16, c_0011_5 + 1/4*c_1001_0^8 - c_1001_0^7 + c_1001_0^6 - c_1001_0^5 + 3/4*c_1001_0^4 + 7/4*c_1001_0^3 + 7/4*c_1001_0^2 + 9/4*c_1001_0 + 5/4, c_0101_0 + 1/4*c_1001_0^8 - c_1001_0^7 + 5/4*c_1001_0^6 - 9/4*c_1001_0^5 + 11/4*c_1001_0^4 + 13/4*c_1001_0^2 + 9/4*c_1001_0 + 3/2, c_0101_5 - 1/16*c_1001_0^8 + 5/16*c_1001_0^7 - 7/16*c_1001_0^6 + 3/8*c_1001_0^5 - 5/8*c_1001_0^4 - 3/16*c_1001_0^3 - 3/16*c_1001_0^2 + 1/2*c_1001_0 + 5/16, c_1001_0^9 - 6*c_1001_0^8 + 12*c_1001_0^7 - 13*c_1001_0^6 + 16*c_1001_0^5 - 7*c_1001_0^4 - 11*c_1001_0^2 - 13*c_1001_0 - 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB