Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 3751691251] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s221 geometric_solution 4.37419672 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 1 0 -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 0 1 -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 0 0 0 1.940334997626 0.473552583926 0 2 3 0 0132 0132 0132 3201 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 -1 1 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 0.374153743229 0.979994643754 4 1 3 3 0132 0132 1302 2031 0 0 0 0 0 1 0 -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 0 1 0 -1 0 0 1 -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 0.325789357490 0.369407334868 2 2 4 1 2031 1302 2310 0132 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 1 0 -1 0 0 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325789357490 0.369407334868 2 3 5 5 0132 3201 2310 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 0 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 -0.668990953392 1.752165026101 5 4 4 5 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 -0.029861311909 0.470037491442 ==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' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : 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' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), '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_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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 94891703263785/14591606002997*c_0101_4^10 - 12168243850291/14591606002997*c_0101_4^9 - 962131304932542/14591606002997*c_0101_4^8 - 989660463944501/14591606002997*c_0101_4^7 + 1688466149561421/14591606002997*c_0101_4^6 + 2978625172120992/14591606002997*c_0101_4^5 + 106802893867484/14591606002997*c_0101_4^4 + 281230982383327/14591606002997*c_0101_4^3 - 573515396396/14591606002997*c_0101_4^2 + 247895218417600/14591606002997*c_0101_4 - 994818188337399/14591606002997, c_0011_0 - 1, c_0011_3 - 3387978211725/14591606002997*c_0101_4^10 - 1468523329350/14591606002997*c_0101_4^9 + 33347409970086/14591606002997*c_0101_4^8 + 54754529078900/14591606002997*c_0101_4^7 - 28117743029176/14591606002997*c_0101_4^6 - 126702801520728/14591606002997*c_0101_4^5 - 84402123563064/14591606002997*c_0101_4^4 - 47749381010822/14591606002997*c_0101_4^3 + 2421725342133/14591606002997*c_0101_4^2 - 12210479508001/14591606002997*c_0101_4 + 13787931282196/14591606002997, c_0011_5 + 4654330295/20580544433*c_0101_4^10 + 1511729343/20580544433*c_0101_4^9 - 46971740470/20580544433*c_0101_4^8 - 69928703565/20580544433*c_0101_4^7 + 56177506313/20580544433*c_0101_4^6 + 178205792013/20580544433*c_0101_4^5 + 76162717675/20580544433*c_0101_4^4 + 26473452436/20580544433*c_0101_4^3 + 16410453077/20580544433*c_0101_4^2 + 14142741233/20580544433*c_0101_4 - 19186545022/20580544433, c_0101_0 - 4602840942260/14591606002997*c_0101_4^10 - 1653584794149/14591606002997*c_0101_4^9 + 46162313492077/14591606002997*c_0101_4^8 + 69741127548293/14591606002997*c_0101_4^7 - 49985313462552/14591606002997*c_0101_4^6 - 165824257329667/14591606002997*c_0101_4^5 - 81414314205805/14591606002997*c_0101_4^4 - 53345516653476/14591606002997*c_0101_4^3 - 22393382925271/14591606002997*c_0101_4^2 - 18940030136781/14591606002997*c_0101_4 + 11071679638637/14591606002997, c_0101_1 - 923354307990/14591606002997*c_0101_4^10 - 281283690626/14591606002997*c_0101_4^9 + 9630250305063/14591606002997*c_0101_4^8 + 14544552089386/14591606002997*c_0101_4^7 - 14593292192813/14591606002997*c_0101_4^6 - 47353585235155/14591606002997*c_0101_4^5 - 19220216345877/14591606002997*c_0101_4^4 + 21907897097981/14591606002997*c_0101_4^3 + 28610361510502/14591606002997*c_0101_4^2 - 2973876941091/14591606002997*c_0101_4 + 6430705790558/14591606002997, c_0101_4^11 + 2/5*c_0101_4^10 - 10*c_0101_4^9 - 79/5*c_0101_4^8 + 51/5*c_0101_4^7 + 193/5*c_0101_4^6 + 106/5*c_0101_4^5 + 46/5*c_0101_4^4 + 2/5*c_0101_4^3 + 19/5*c_0101_4^2 - 23/5*c_0101_4 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB