Magma V2.19-8 Tue Aug 20 2013 16:14:27 on localhost [Seed = 3869735653] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s446 geometric_solution 4.76114333 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640474922086 0.453828271355 0 2 5 5 0132 1230 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455947654907 0.461843913757 4 0 1 3 0321 0132 3012 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.072510034422 1.353828716920 2 3 3 0 3012 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960551850339 0.736533064226 2 4 0 4 0321 2310 0132 3201 0 0 0 0 0 1 -1 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 -1 0 1 -1 0 0 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 0.247868516161 1.325278817589 1 5 1 5 2310 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.145291052800 0.478710887824 ==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' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], '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_1']), 'c_1001_4' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_0'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 2298310423/17350940754*c_0101_3^15 + 10254904037/19829646576*c_0101_3^14 - 9043990541/138807526032*c_0101_3^13 - 209266813295/69403763016*c_0101_3^12 - 408303837/137705879*c_0101_3^11 + 537718862965/69403763016*c_0101_3\ ^10 + 665428456781/46269175344*c_0101_3^9 - 684482640217/69403763016*c_0101_3^8 - 4941713994559/138807526032*c_0101_3^7 + 306499588811/46269175344*c_0101_3^6 + 533704525939/7711529224*c_0101_3^5 + 2162205922721/138807526032*c_0101_3^4 - 12695585339611/138807526032*c_0101_3^3 - 522241467577/8675470377*c_0101_3^2 + 122000704159/2891823459*c_0101_3 + 351009175259/8675470377, c_0011_0 - 1, c_0011_3 + 725923/137705879*c_0101_3^15 + 43934023/1101647032*c_0101_3^14 + 1021904/137705879*c_0101_3^13 - 267325009/1101647032*c_0101_3^12 - 216427631/1101647032*c_0101_3^11 + 199393739/275411758*c_0101_3^10 + 251459705/275411758*c_0101_3^9 - 186282510/137705879*c_0101_3^8 - 2743679487/1101647032*c_0101_3^7 + 1197577765/550823516*c_0101_3^6 + 5757898167/1101647032*c_0101_3^5 - 726401469/275411758*c_0101_3^4 - 908565197/137705879*c_0101_3^3 + 799083515/550823516*c_0101_3^2 + 424834261/137705879*c_0101_3 - 110865723/137705879, c_0011_5 + 129362007/2203294064*c_0101_3^15 + 233288793/2203294064*c_0101_3^14 - 392242473/1101647032*c_0101_3^13 - 467671691/550823516*c_0101_3^12 + 243057459/275411758*c_0101_3^11 + 7090765361/2203294064*c_0101_3^10 - 396798937/550823516*c_0101_3^9 - 17515484239/2203294064*c_0101_3^8 - 2510203425/2203294064*c_0101_3^7 + 17186777149/1101647032*c_0101_3^6 + 11707014869/2203294064*c_0101_3^5 - 49399376651/2203294064*c_0101_3^4 - 12004434675/1101647032*c_0101_3^3 + 8927882753/550823516*c_0101_3^2 + 1139560791/137705879*c_0101_3 - 509055442/137705879, c_0101_0 - 9362461/275411758*c_0101_3^15 - 10036542/137705879*c_0101_3^14 + 24629957/137705879*c_0101_3^13 + 153935613/275411758*c_0101_3^12 - 178695011/550823516*c_0101_3^11 - 279803503/137705879*c_0101_3^10 - 116023637/550823516*c_0101_3^9 + 2618062107/550823516*c_0101_3^8 + 578646405/275411758*c_0101_3^7 - 2470829523/275411758*c_0101_3^6 - 1690019907/275411758*c_0101_3^5 + 6871645743/550823516*c_0101_3^4 + 1439656524/137705879*c_0101_3^3 - 4839952269/550823516*c_0101_3^2 - 954942609/137705879*c_0101_3 + 344504505/137705879, c_0101_1 - 38939797/2203294064*c_0101_3^15 - 53534471/2203294064*c_0101_3^14 + 114237907/1101647032*c_0101_3^13 + 223122879/1101647032*c_0101_3^12 - 154738823/550823516*c_0101_3^11 - 1772849469/2203294064*c_0101_3^10 + 389478549/1101647032*c_0101_3^9 + 4565965037/2203294064*c_0101_3^8 - 209986229/2203294064*c_0101_3^7 - 4555200149/1101647032*c_0101_3^6 - 1573088601/2203294064*c_0101_3^5 + 13491603037/2203294064*c_0101_3^4 + 290495722/137705879*c_0101_3^3 - 725790312/137705879*c_0101_3^2 - 255326214/137705879*c_0101_3 + 296469566/137705879, c_0101_3^16 + 3*c_0101_3^15 - 4*c_0101_3^14 - 22*c_0101_3^13 - 2*c_0101_3^12 + 75*c_0101_3^11 + 54*c_0101_3^10 - 157*c_0101_3^9 - 187*c_0101_3^8 + 256*c_0101_3^7 + 425*c_0101_3^6 - 295*c_0101_3^5 - 676*c_0101_3^4 + 80*c_0101_3^3 + 520*c_0101_3^2 + 96*c_0101_3 - 96 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB