Magma V2.19-8 Tue Aug 20 2013 16:18:25 on localhost [Seed = 3330759665] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2620 geometric_solution 5.90195633 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555856406576 0.932954005627 0 3 0 4 0132 2103 1230 0132 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 0.415994607695 0.873825135191 3 0 6 5 2103 0132 0132 0132 0 0 0 0 0 1 -1 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 -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 0 0 0 0.519379292850 1.751821338324 4 1 2 0 0132 2103 2103 0132 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 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 0.660836928823 0.068120456721 3 5 1 6 0132 3120 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.844433540317 0.524712185010 5 4 2 5 3201 3120 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 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 0.379623504526 0.513688902055 6 4 6 2 2310 1302 3201 0132 0 0 0 0 0 0 -1 1 1 0 -1 0 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515899875723 0.684099222474 ==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_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' : 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_5'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], '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_6' : negation(d['c_0011_5']), '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' : d['c_1001_0'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_1']), '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_0011_3']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 584518/422145*c_1001_0^14 - 7546577/422145*c_1001_0^13 + 13027451/140715*c_1001_0^12 - 6483964/28143*c_1001_0^11 + 27833077/140715*c_1001_0^10 + 49130923/140715*c_1001_0^9 - 148364456/140715*c_1001_0^8 + 107858621/140715*c_1001_0^7 + 56813278/84429*c_1001_0^6 - 73164706/46905*c_1001_0^5 + 64987600/84429*c_1001_0^4 + 201302234/422145*c_1001_0^3 - 321259733/422145*c_1001_0^2 + 150502349/422145*c_1001_0 - 8666071/140715, c_0011_0 - 1, c_0011_3 - 6800/9381*c_1001_0^14 + 81199/9381*c_1001_0^13 - 126482/3127*c_1001_0^12 + 266823/3127*c_1001_0^11 - 113115/3127*c_1001_0^10 - 608675/3127*c_1001_0^9 + 1167574/3127*c_1001_0^8 - 374453/3127*c_1001_0^7 - 3584470/9381*c_1001_0^6 + 1486733/3127*c_1001_0^5 - 687361/9381*c_1001_0^4 - 2258155/9381*c_1001_0^3 + 1856179/9381*c_1001_0^2 - 543910/9381*c_1001_0 + 14613/3127, c_0011_5 + 5381/9381*c_1001_0^14 - 67567/9381*c_1001_0^13 + 112667/3127*c_1001_0^12 - 266110/3127*c_1001_0^11 + 192267/3127*c_1001_0^10 + 470243/3127*c_1001_0^9 - 1204291/3127*c_1001_0^8 + 713235/3127*c_1001_0^7 + 2773471/9381*c_1001_0^6 - 1687016/3127*c_1001_0^5 + 1940920/9381*c_1001_0^4 + 1853488/9381*c_1001_0^3 - 2322814/9381*c_1001_0^2 + 990082/9381*c_1001_0 - 54312/3127, c_0101_0 + 1, c_0101_1 - 4264/9381*c_1001_0^14 + 48632/9381*c_1001_0^13 - 71851/3127*c_1001_0^12 + 142787/3127*c_1001_0^11 - 55166/3127*c_1001_0^10 - 300465/3127*c_1001_0^9 + 570468/3127*c_1001_0^8 - 253246/3127*c_1001_0^7 - 1328777/9381*c_1001_0^6 + 733035/3127*c_1001_0^5 - 1037216/9381*c_1001_0^4 - 607409/9381*c_1001_0^3 + 1146860/9381*c_1001_0^2 - 676793/9381*c_1001_0 + 49347/3127, c_0101_2 - 1733/28143*c_1001_0^14 + 14890/28143*c_1001_0^13 - 11689/9381*c_1001_0^12 - 13907/9381*c_1001_0^11 + 100660/9381*c_1001_0^10 - 111701/9381*c_1001_0^9 - 138632/9381*c_1001_0^8 + 384788/9381*c_1001_0^7 - 381679/28143*c_1001_0^6 - 122758/3127*c_1001_0^5 + 1090532/28143*c_1001_0^4 + 106991/28143*c_1001_0^3 - 575063/28143*c_1001_0^2 + 250184/28143*c_1001_0 - 15832/9381, c_1001_0^15 - 14*c_1001_0^14 + 81*c_1001_0^13 - 240*c_1001_0^12 + 327*c_1001_0^11 + 93*c_1001_0^10 - 1041*c_1001_0^9 + 1401*c_1001_0^8 - 130*c_1001_0^7 - 1668*c_1001_0^6 + 1805*c_1001_0^5 - 262*c_1001_0^4 - 941*c_1001_0^3 + 863*c_1001_0^2 - 321*c_1001_0 + 45 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB