Magma V2.19-8 Tue Aug 20 2013 16:16:54 on localhost [Seed = 509575875] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1161 geometric_solution 5.03757942 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 0213 0132 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 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 0.152957105263 1.010113220910 0 0 5 4 0132 0213 0132 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 -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 0.304592970092 2.128755648117 4 0 2 2 0213 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245000089117 0.533799340679 5 4 0 4 2310 2310 0132 0321 0 0 0 0 0 0 1 -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 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 -1.653698314367 1.143775375168 2 3 1 3 0213 0321 0132 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417594241465 0.836589481862 6 6 3 1 0132 3201 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 -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 0.087272199128 0.231436781541 5 6 5 6 0132 2310 2310 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 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 -1.653698314367 1.143775375168 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(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' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_1001_4'], 'c_1100_3' : d['c_1001_4'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0101_1']), 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0110_2']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0110_2']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0110_2'], 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0110_2'])})} 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_4, c_0011_5, c_0101_1, c_0110_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 339275037/5621072*c_1001_4^9 + 3338872953/44968576*c_1001_4^8 - 425597461/11242144*c_1001_4^7 + 1448618265/22484288*c_1001_4^6 + 1334870961/22484288*c_1001_4^5 - 2506620929/44968576*c_1001_4^4 + 231703665/22484288*c_1001_4^3 - 1180873041/44968576*c_1001_4^2 + 679569103/22484288*c_1001_4 + 726092337/44968576, c_0011_0 - 1, c_0011_3 - 1708020/351317*c_1001_4^9 - 617085/702634*c_1001_4^8 + 7214019/1405268*c_1001_4^7 - 7985805/702634*c_1001_4^6 + 3449525/1405268*c_1001_4^5 + 1116306/351317*c_1001_4^4 - 7962369/1405268*c_1001_4^3 + 4950727/1405268*c_1001_4^2 - 5011625/1405268*c_1001_4 + 1248679/1405268, c_0011_4 + 2431839/702634*c_1001_4^9 + 2865267/5621072*c_1001_4^8 - 2983259/702634*c_1001_4^7 + 21312875/2810536*c_1001_4^6 - 6710685/2810536*c_1001_4^5 - 15423603/5621072*c_1001_4^4 + 11516779/2810536*c_1001_4^3 - 16659131/5621072*c_1001_4^2 + 8303477/2810536*c_1001_4 - 5349201/5621072, c_0011_5 + 11211/3109*c_1001_4^9 + 45135/24872*c_1001_4^8 - 22499/6218*c_1001_4^7 + 85009/12436*c_1001_4^6 - 11337/12436*c_1001_4^5 - 98363/24872*c_1001_4^4 + 36465/12436*c_1001_4^3 - 63251/24872*c_1001_4^2 + 27437/12436*c_1001_4 - 12601/24872, c_0101_1 + 1063455/702634*c_1001_4^9 - 2556333/5621072*c_1001_4^8 - 2201657/1405268*c_1001_4^7 + 9939187/2810536*c_1001_4^6 - 10630345/2810536*c_1001_4^5 - 4231575/5621072*c_1001_4^4 + 3522799/2810536*c_1001_4^3 - 13424223/5621072*c_1001_4^2 + 4585011/2810536*c_1001_4 - 4503001/5621072, c_0110_2 - 1484901/351317*c_1001_4^9 - 9763137/2810536*c_1001_4^8 + 1188882/351317*c_1001_4^7 - 2125311/351317*c_1001_4^6 - 2674853/1405268*c_1001_4^5 + 7525215/2810536*c_1001_4^4 - 333108/351317*c_1001_4^3 + 1887911/2810536*c_1001_4^2 - 4471201/1405268*c_1001_4 + 1019127/2810536, c_1001_4^10 + 5/8*c_1001_4^9 - 19/24*c_1001_4^8 + 7/4*c_1001_4^7 - 13/24*c_1001_4^5 + 13/24*c_1001_4^4 - 13/24*c_1001_4^3 + 17/24*c_1001_4^2 - 1/8*c_1001_4 + 1/24 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB