Magma V2.19-8 Tue Aug 20 2013 16:14:35 on localhost [Seed = 3297073354] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s564 geometric_solution 5.00619366 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 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 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 0.553913404168 0.303476938599 2 0 3 0 0132 2310 0132 0132 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 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 1.057548170567 0.457272642934 1 3 4 5 0132 0213 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711811721575 0.459938575608 5 4 2 1 0132 1023 0213 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 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 0.711811721575 0.459938575608 3 4 4 2 1023 1230 3012 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 -1 1 0 -1 0 1 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.008921645040 0.640387272477 3 5 2 5 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.913513480312 0.885771603161 ==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' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 24480/14023*c_0101_4^8 + 468320/14023*c_0101_4^7 - 1462282/14023*c_0101_4^6 - 4504854/14023*c_0101_4^5 + 12326308/14023*c_0101_4^4 + 14328591/14023*c_0101_4^3 - 24292273/14023*c_0101_4^2 - 17229540/14023*c_0101_4 + 6743241/14023, c_0011_0 - 1, c_0011_1 + 35072/14023*c_0101_4^8 - 165483/14023*c_0101_4^7 - 397886/14023*c_0101_4^6 + 1258849/14023*c_0101_4^5 + 1549127/14023*c_0101_4^4 - 2312460/14023*c_0101_4^3 - 2231714/14023*c_0101_4^2 + 318488/14023*c_0101_4 + 121870/14023, c_0011_3 - 14705/14023*c_0101_4^8 + 67856/14023*c_0101_4^7 + 174022/14023*c_0101_4^6 - 512902/14023*c_0101_4^5 - 693743/14023*c_0101_4^4 + 928490/14023*c_0101_4^3 + 985518/14023*c_0101_4^2 - 102966/14023*c_0101_4 - 48909/14023, c_0101_0 - 17765/14023*c_0101_4^8 + 84327/14023*c_0101_4^7 + 198076/14023*c_0101_4^6 - 637790/14023*c_0101_4^5 - 758588/14023*c_0101_4^4 + 1161258/14023*c_0101_4^3 + 1074360/14023*c_0101_4^2 - 160220/14023*c_0101_4 - 45631/14023, c_0101_1 - 10705/14023*c_0101_4^8 + 50633/14023*c_0101_4^7 + 120582/14023*c_0101_4^6 - 385028/14023*c_0101_4^5 - 463799/14023*c_0101_4^4 + 718438/14023*c_0101_4^3 + 649691/14023*c_0101_4^2 - 132151/14023*c_0101_4 - 27256/14023, c_0101_4^9 - 5*c_0101_4^8 - 10*c_0101_4^7 + 39*c_0101_4^6 + 34*c_0101_4^5 - 78*c_0101_4^4 - 45*c_0101_4^3 + 27*c_0101_4^2 + c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB