Magma V2.19-8 Tue Aug 20 2013 16:18:34 on localhost [Seed = 3886447317] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2756 geometric_solution 5.99522497 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 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 0.405046679199 0.350439741855 3 2 4 0 0132 3012 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355878484249 1.836788572911 1 5 0 6 1230 0132 0132 0132 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 -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 0.736912216191 0.812315490825 1 6 5 5 0132 2031 2103 3012 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 0 0 0 0 0 0 0 0 0 0 -0.158810014252 0.665523191023 6 4 4 1 3201 3201 2310 0132 0 0 0 0 0 -1 0 1 -1 0 1 0 -1 0 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 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 0.120132445182 0.720378226011 3 2 3 6 2103 0132 1230 2031 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 1 0 -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 0.268862135759 0.578453396654 3 5 2 4 1302 1302 0132 2310 0 0 0 0 0 0 -1 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 -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 1.458399487664 0.884919618569 ==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' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : 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_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_2, c_0011_4, c_0101_1, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 4476745/1828864*c_0110_5^12 - 105969357/3657728*c_0110_5^10 + 41359189/228608*c_0110_5^8 - 72153061/114304*c_0110_5^6 + 2288599/1786*c_0110_5^4 - 21012643/14288*c_0110_5^2 + 2692223/3572, c_0011_0 - 1, c_0011_1 - 7/1024*c_0110_5^13 + 179/2048*c_0110_5^11 - 149/256*c_0110_5^9 + 287/128*c_0110_5^7 - 21/4*c_0110_5^5 + 15/2*c_0110_5^3 - 5*c_0110_5, c_0011_2 - 5845/96256*c_0110_5^13 + 126337/192512*c_0110_5^11 - 185879/48128*c_0110_5^9 + 146223/12032*c_0110_5^7 - 32909/1504*c_0110_5^5 + 996/47*c_0110_5^3 - 1553/188*c_0110_5, c_0011_4 + 2513/24064*c_0110_5^12 - 52445/48128*c_0110_5^10 + 75289/12032*c_0110_5^8 - 113609/6016*c_0110_5^6 + 48863/1504*c_0110_5^4 - 5713/188*c_0110_5^2 + 1053/94, c_0101_1 + 1085/24064*c_0110_5^13 - 24161/48128*c_0110_5^11 + 287/94*c_0110_5^9 - 122601/12032*c_0110_5^7 + 60517/3008*c_0110_5^5 - 8337/376*c_0110_5^3 + 1857/188*c_0110_5, c_0101_2 + 469/6016*c_0110_5^12 - 10257/12032*c_0110_5^10 + 3767/752*c_0110_5^8 - 94951/6016*c_0110_5^6 + 41675/1504*c_0110_5^4 - 1208/47*c_0110_5^2 + 787/94, c_0110_5^14 - 179/14*c_0110_5^12 + 596/7*c_0110_5^10 - 328*c_0110_5^8 + 768*c_0110_5^6 - 7680/7*c_0110_5^4 + 6144/7*c_0110_5^2 - 2048/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB