Magma V2.19-8 Tue Aug 20 2013 16:14:32 on localhost [Seed = 1983375994] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s524 geometric_solution 4.93310241 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 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 0.731025919685 1.399987170329 3 2 4 0 0132 1023 0132 0132 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 -1 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 -0.170516731652 1.377764048741 1 3 0 4 1023 2310 0132 3201 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 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 -0.170516731652 1.377764048741 1 3 3 2 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.088473964001 0.714863847494 5 2 5 1 0132 2310 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615016683304 0.545495099767 4 4 5 5 0132 3201 1230 3012 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455873628775 0.168796323621 ==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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 27893727/28836680*c_0101_1*c_0101_4^9 + 119062141/28836680*c_0101_1*c_0101_4^8 - 348236893/14418340*c_0101_1*c_0101_4^7 + 84618037/2883668*c_0101_1*c_0101_4^6 - 1708075537/28836680*c_0101_1*c_0101_4^5 + 2058691589/28836680*c_0101_1*c_0101_4^4 - 393466883/5767336*c_0101_1*c_0101_4^3 + 1701648047/28836680*c_0101_1*c_0101_4^2 - 1051637333/28836680*c_0101_1*c_0101_4 + 541504919/28836680*c_0101_1, c_0011_0 - 1, c_0011_1 + 16261/19970*c_0101_1*c_0101_4^9 - 71541/19970*c_0101_1*c_0101_4^8 + 398521/19970*c_0101_1*c_0101_4^7 - 468053/19970*c_0101_1*c_0101_4^6 + 62936/1997*c_0101_1*c_0101_4^5 - 719657/19970*c_0101_1*c_0101_4^4 + 506331/19970*c_0101_1*c_0101_4^3 - 116607/9985*c_0101_1*c_0101_4^2 + 48041/19970*c_0101_1*c_0101_4 - 9729/3994*c_0101_1, c_0011_4 - 412/1997*c_0101_4^9 + 3799/3994*c_0101_4^8 - 20813/3994*c_0101_4^7 + 13634/1997*c_0101_4^6 - 33009/3994*c_0101_4^5 + 37243/3994*c_0101_4^4 - 25679/3994*c_0101_4^3 + 4206/1997*c_0101_4^2 - 3613/3994*c_0101_4 + 532/1997, c_0101_0 - 2021/9985*c_0101_1*c_0101_4^9 + 7517/9985*c_0101_1*c_0101_4^8 - 89759/19970*c_0101_1*c_0101_4^7 + 30439/9985*c_0101_1*c_0101_4^6 - 72233/9985*c_0101_1*c_0101_4^5 + 145779/19970*c_0101_1*c_0101_4^4 - 56218/9985*c_0101_1*c_0101_4^3 + 20607/3994*c_0101_1*c_0101_4^2 - 10981/3994*c_0101_1*c_0101_4 + 23646/9985*c_0101_1, c_0101_1^2 + 503/3994*c_0101_4^9 - 1861/3994*c_0101_4^8 + 5394/1997*c_0101_4^7 - 5817/3994*c_0101_4^6 + 9227/3994*c_0101_4^5 - 7551/3994*c_0101_4^4 + 86/1997*c_0101_4^3 - 5959/3994*c_0101_4^2 - 1116/1997*c_0101_4 - 412/1997, c_0101_4^10 - 4*c_0101_4^9 + 23*c_0101_4^8 - 20*c_0101_4^7 + 33*c_0101_4^6 - 34*c_0101_4^5 + 22*c_0101_4^4 - 10*c_0101_4^3 + 2*c_0101_4^2 - 4*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB