Magma V2.19-8 Tue Aug 20 2013 16:14:42 on localhost [Seed = 1730607994] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s685 geometric_solution 5.18293357 oriented_manifold CS_known 0.0000000000000001 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 -1 1 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 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438330781096 0.319366984279 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.071402818633 0.766438317453 1 4 5 3 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326944746683 0.830886538119 2 5 4 1 3201 0132 1023 0132 0 0 0 0 0 0 0 0 -1 0 0 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 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 0.326944746683 0.830886538119 4 2 3 4 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.176871076826 0.886916213657 5 3 5 2 2310 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.410082746574 1.042170694284 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], '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' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_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_1'], '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' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_1']), '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' : d['c_0101_0'], 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_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: 18 Groebner basis: [ t - 137531121/1213648*c_0101_4^17 + 503859091/303412*c_0101_4^15 - 9140597283/606824*c_0101_4^13 + 101346225933/1213648*c_0101_4^11 - 182344913479/1213648*c_0101_4^9 + 35162101351/303412*c_0101_4^7 - 48135661993/1213648*c_0101_4^5 + 6871440313/1213648*c_0101_4^3 - 339705995/1213648*c_0101_4, c_0011_0 - 1, c_0011_1 + 5433441/1213648*c_0101_4^16 - 5018451/75853*c_0101_4^14 + 365993517/606824*c_0101_4^12 - 4091879353/1213648*c_0101_4^10 + 7687427895/1213648*c_0101_4^8 - 798203781/151706*c_0101_4^6 + 2488154117/1213648*c_0101_4^4 - 437865065/1213648*c_0101_4^2 + 26643695/1213648, c_0011_3 - 12154313/1213648*c_0101_4^17 + 22297465/151706*c_0101_4^15 - 809836537/606824*c_0101_4^13 + 8994321321/1213648*c_0101_4^11 - 16333031583/1213648*c_0101_4^9 + 806400030/75853*c_0101_4^7 - 4695928405/1213648*c_0101_4^5 + 782606097/1213648*c_0101_4^3 - 49832239/1213648*c_0101_4, c_0101_0 + 12898649/606824*c_0101_4^17 - 94683857/303412*c_0101_4^15 + 429901605/151706*c_0101_4^13 - 9550887327/606824*c_0101_4^11 + 17355865111/606824*c_0101_4^9 - 6822612627/303412*c_0101_4^7 + 4847622651/606824*c_0101_4^5 - 736144129/606824*c_0101_4^3 + 35331217/606824*c_0101_4, c_0101_1 + 2430627/303412*c_0101_4^16 - 35871845/303412*c_0101_4^14 + 326747739/303412*c_0101_4^12 - 912047873/151706*c_0101_4^10 + 3403445633/303412*c_0101_4^8 - 2792083399/303412*c_0101_4^6 + 531776157/151706*c_0101_4^4 - 179598547/303412*c_0101_4^2 + 5187541/151706, c_0101_4^18 - 15*c_0101_4^16 + 138*c_0101_4^14 - 783*c_0101_4^12 + 1582*c_0101_4^10 - 1489*c_0101_4^8 + 717*c_0101_4^6 - 180*c_0101_4^4 + 22*c_0101_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB