Magma V2.19-8 Tue Aug 20 2013 16:14:12 on localhost [Seed = 896837915] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s170 geometric_solution 4.26163570 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3201 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 -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 1.415417252503 0.784532118689 0 1 0 1 0132 2310 2310 3201 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 -0.761050388661 0.196810815741 3 4 5 0 1302 0132 0132 0132 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 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 1.092490980187 0.663698316284 5 2 0 4 2103 2031 0132 0213 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 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 1.092490980187 0.663698316284 5 2 5 3 1023 0132 3201 0213 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 1 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 -0.097474628229 0.846874615388 4 4 3 2 2310 1023 2103 0132 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 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 0.571111410666 0.440702448887 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(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_0110_3']), 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0110_3']), 'c_1100_3' : negation(d['c_0110_3']), 'c_1100_2' : negation(d['c_0110_3']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0110_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0110_3']), 'c_1010_5' : negation(d['c_0110_3']), 'c_1010_4' : negation(d['c_0110_3']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_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_2, c_0011_3, c_0101_0, c_0101_1, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 149/33*c_0110_3^6 + 797/33*c_0110_3^5 - 1117/33*c_0110_3^4 - 307/33*c_0110_3^3 + 204/11*c_0110_3^2 + 1565/33*c_0110_3 - 1277/33, c_0011_0 - 1, c_0011_2 + 4/11*c_0110_3^6 - 18/11*c_0110_3^5 + 15/11*c_0110_3^4 + 14/11*c_0110_3^3 + 10/11*c_0110_3^2 - 35/11*c_0110_3 + 8/11, c_0011_3 + 4/11*c_0110_3^6 - 18/11*c_0110_3^5 + 15/11*c_0110_3^4 + 14/11*c_0110_3^3 + 10/11*c_0110_3^2 - 35/11*c_0110_3 + 8/11, c_0101_0 - 5/11*c_0110_3^6 + 17/11*c_0110_3^5 - 5/11*c_0110_3^4 - 12/11*c_0110_3^3 - 18/11*c_0110_3^2 + 8/11*c_0110_3 - 10/11, c_0101_1 - 3/11*c_0110_3^6 + 8/11*c_0110_3^5 + 8/11*c_0110_3^4 - 16/11*c_0110_3^3 - 24/11*c_0110_3^2 + 7/11*c_0110_3 + 5/11, c_0110_3^7 - 5*c_0110_3^6 + 6*c_0110_3^5 + 3*c_0110_3^4 - 2*c_0110_3^3 - 10*c_0110_3^2 + 5*c_0110_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB