Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 2244221368] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s021 geometric_solution 3.54936435 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 2 0132 0132 2310 2310 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5.082974177783 3.541510159649 0 0 3 3 0132 3201 3201 0132 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159724017788 0.162634610664 0 0 2 2 3201 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.104247125110 0.046884652204 1 4 1 5 2310 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746726036968 1.986696986390 5 3 5 5 3201 0132 2310 3120 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 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 0.037182106471 0.986152557176 4 4 3 4 3120 3201 0132 2310 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 0 0 0 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.037182106471 0.986152557176 ==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_0011_5'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0110_2'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), '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_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_3, c_0011_5, c_0101_0, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 2703/11*c_0110_2^10 - 1656*c_0110_2^9 + 16971/11*c_0110_2^8 + 25262/11*c_0110_2^7 - 148581/11*c_0110_2^6 + 3587/11*c_0110_2^5 + 193608/11*c_0110_2^4 - 72983/11*c_0110_2^3 - 69867/11*c_0110_2^2 + 50103/11*c_0110_2 - 8633/11, c_0011_0 - 1, c_0011_3 + 7*c_0110_2^10 - 48*c_0110_2^9 + 49*c_0110_2^8 + 64*c_0110_2^7 - 398*c_0110_2^6 + 54*c_0110_2^5 + 527*c_0110_2^4 - 263*c_0110_2^3 - 181*c_0110_2^2 + 169*c_0110_2 - 35, c_0011_5 + 321*c_0110_2^10 - 2128*c_0110_2^9 + 1779*c_0110_2^8 + 3228*c_0110_2^7 - 17420*c_0110_2^6 - 1326*c_0110_2^5 + 22948*c_0110_2^4 - 6888*c_0110_2^3 - 8667*c_0110_2^2 + 5448*c_0110_2 - 861, c_0101_0 + c_0110_2^10 - 7*c_0110_2^9 + 8*c_0110_2^8 + 8*c_0110_2^7 - 58*c_0110_2^6 + 16*c_0110_2^5 + 73*c_0110_2^4 - 48*c_0110_2^3 - 19*c_0110_2^2 + 28*c_0110_2 - 8, c_0101_4 + 27*c_0110_2^10 - 183*c_0110_2^9 + 175*c_0110_2^8 + 257*c_0110_2^7 - 1510*c_0110_2^6 + 92*c_0110_2^5 + 2009*c_0110_2^4 - 842*c_0110_2^3 - 728*c_0110_2^2 + 567*c_0110_2 - 103, c_0110_2^11 - 7*c_0110_2^10 + 8*c_0110_2^9 + 8*c_0110_2^8 - 58*c_0110_2^7 + 16*c_0110_2^6 + 73*c_0110_2^5 - 48*c_0110_2^4 - 19*c_0110_2^3 + 27*c_0110_2^2 - 9*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB