Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 3018993552] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s315 geometric_solution 4.49208486 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 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 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 0 0 0 0 0.295964341035 0.946045893369 0 4 4 2 0132 0132 1023 2103 0 0 0 0 0 0 -1 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 -1 0 1 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 0.506256800129 0.680281120215 5 0 5 1 0132 0132 2310 2103 0 0 0 0 0 0 0 0 0 0 -1 1 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 -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 0.933985763478 0.384072821722 4 0 4 0 0321 2310 1230 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 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 -0.926414750060 1.195363252289 3 1 1 3 0321 0132 1023 3012 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 0 -1 1 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 1.405054226938 0.522645972589 2 2 5 5 0132 3201 1230 3012 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 0 0.570338033461 0.236725712873 ==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' : negation(d['1']), 's_2_0' : negation(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' : negation(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_0101_2'], 'c_1100_4' : d['c_0101_5'], 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], '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' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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_2']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_5']})} 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_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 34837/10370*c_0101_5^13 - 21801/5185*c_0101_5^12 - 74361/2074*c_0101_5^11 - 99169/10370*c_0101_5^10 + 1511663/10370*c_0101_5^9 + 878833/5185*c_0101_5^8 - 186220/1037*c_0101_5^7 - 851269/2074*c_0101_5^6 - 1168421/10370*c_0101_5^5 + 2580253/10370*c_0101_5^4 + 458777/2074*c_0101_5^3 + 177/17*c_0101_5^2 - 676409/10370*c_0101_5 - 132552/5185, c_0011_0 - 1, c_0011_3 - 2230/1037*c_0101_5^13 + 5884/1037*c_0101_5^12 + 16242/1037*c_0101_5^11 - 16790/1037*c_0101_5^10 - 79811/1037*c_0101_5^9 - 4277/1037*c_0101_5^8 + 147473/1037*c_0101_5^7 + 93503/1037*c_0101_5^6 - 81953/1037*c_0101_5^5 - 101319/1037*c_0101_5^4 - 4421/1037*c_0101_5^3 + 585/17*c_0101_5^2 + 7715/1037*c_0101_5 - 5359/1037, c_0101_1 + 1375/1037*c_0101_5^13 - 3070/1037*c_0101_5^12 - 11340/1037*c_0101_5^11 + 6651/1037*c_0101_5^10 + 51422/1037*c_0101_5^9 + 17390/1037*c_0101_5^8 - 88101/1037*c_0101_5^7 - 76940/1037*c_0101_5^6 + 39471/1037*c_0101_5^5 + 69678/1037*c_0101_5^4 + 12517/1037*c_0101_5^3 - 324/17*c_0101_5^2 - 7210/1037*c_0101_5 + 2451/1037, c_0101_2 + 41/1037*c_0101_5^13 - 84/1037*c_0101_5^12 - 719/1037*c_0101_5^11 + 411/1037*c_0101_5^10 + 4949/1037*c_0101_5^9 + 3803/1037*c_0101_5^8 - 10966/1037*c_0101_5^7 - 17721/1037*c_0101_5^6 + 1005/1037*c_0101_5^5 + 16159/1037*c_0101_5^4 + 7590/1037*c_0101_5^3 - 39/17*c_0101_5^2 - 2832/1037*c_0101_5 - 393/1037, c_0101_3 - 2230/1037*c_0101_5^13 + 5884/1037*c_0101_5^12 + 16242/1037*c_0101_5^11 - 16790/1037*c_0101_5^10 - 79811/1037*c_0101_5^9 - 4277/1037*c_0101_5^8 + 147473/1037*c_0101_5^7 + 93503/1037*c_0101_5^6 - 81953/1037*c_0101_5^5 - 101319/1037*c_0101_5^4 - 4421/1037*c_0101_5^3 + 585/17*c_0101_5^2 + 7715/1037*c_0101_5 - 5359/1037, c_0101_5^14 - 2*c_0101_5^13 - 9*c_0101_5^12 + 3*c_0101_5^11 + 41*c_0101_5^10 + 24*c_0101_5^9 - 68*c_0101_5^8 - 85*c_0101_5^7 + 17*c_0101_5^6 + 77*c_0101_5^5 + 31*c_0101_5^4 - 20*c_0101_5^3 - 17*c_0101_5^2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB