Magma V2.19-8 Tue Aug 20 2013 16:14:32 on localhost [Seed = 3903419623] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s513 geometric_solution 4.90526242 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 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 0 1 -1 0 0 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488556404299 0.304727126791 0 3 2 4 0132 0132 1230 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 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 0.526429422020 0.919109696242 3 0 4 1 3201 0132 0132 3012 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526429422020 0.919109696242 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.297327608465 1.208147357599 5 5 1 2 0132 2310 0132 0132 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215903753009 1.644170849733 4 5 5 4 0132 3201 2310 3201 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.583757345254 0.512112952564 ==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_4']), 'c_1100_4' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), '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_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 3*c_0110_2^2 - c_0110_2 - 8, c_0011_0 - 1, c_0011_4 - 1, c_0101_0 - c_0110_2, c_0101_1 + c_0110_2^2 - 1, c_0101_2 + c_0110_2^2 - 1, c_0110_2^3 - c_0110_2^2 - 2*c_0110_2 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 31058/2977*c_0110_2^9 - 8043/229*c_0110_2^8 - 54149/2977*c_0110_2^7 - 168393/2977*c_0110_2^6 + 2120/229*c_0110_2^5 + 259527/2977*c_0110_2^4 - 158320/2977*c_0110_2^3 - 180125/2977*c_0110_2^2 + 14480/2977*c_0110_2 + 58250/2977, c_0011_0 - 1, c_0011_4 + 1694/2977*c_0110_2^9 + 455/229*c_0110_2^8 + 4397/2977*c_0110_2^7 + 12145/2977*c_0110_2^6 + 129/229*c_0110_2^5 - 9496/2977*c_0110_2^4 + 7213/2977*c_0110_2^3 + 6995/2977*c_0110_2^2 + 112/2977*c_0110_2 + 467/2977, c_0101_0 + 1441/2977*c_0110_2^9 + 335/229*c_0110_2^8 + 512/2977*c_0110_2^7 + 5595/2977*c_0110_2^6 - 436/229*c_0110_2^5 - 14921/2977*c_0110_2^4 + 9712/2977*c_0110_2^3 + 5583/2977*c_0110_2^2 - 3423/2977*c_0110_2 - 3295/2977, c_0101_1 + 1726/2977*c_0110_2^9 + 386/229*c_0110_2^8 + 417/2977*c_0110_2^7 + 7749/2977*c_0110_2^6 - 568/229*c_0110_2^5 - 14705/2977*c_0110_2^4 + 10980/2977*c_0110_2^3 + 4832/2977*c_0110_2^2 - 3724/2977*c_0110_2 - 4364/2977, c_0101_2 - 1069/2977*c_0110_2^9 - 307/229*c_0110_2^8 - 3613/2977*c_0110_2^7 - 7578/2977*c_0110_2^6 - 81/229*c_0110_2^5 + 6836/2977*c_0110_2^4 + 216/2977*c_0110_2^3 - 7284/2977*c_0110_2^2 - 3958/2977*c_0110_2 + 1837/2977, c_0110_2^10 + 4*c_0110_2^9 + 4*c_0110_2^8 + 7*c_0110_2^7 + 3*c_0110_2^6 - 8*c_0110_2^5 + 8*c_0110_2^3 + 3*c_0110_2^2 - 2*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB