Magma V2.19-8 Tue Aug 20 2013 16:18:33 on localhost [Seed = 964207624] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2740 geometric_solution 5.98190013 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.799259360942 0.899809053913 0 3 4 0 0132 0132 0132 3201 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 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 0.236178478743 1.058657253006 0 5 4 0 3201 0132 2310 0132 0 0 0 0 0 0 1 -1 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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236178478743 1.058657253006 6 1 5 5 0132 0132 0321 1023 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 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 0.289338394274 1.530857656715 6 2 6 1 3201 3201 2310 0132 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 -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 0.337216443594 0.396830252842 6 2 3 3 2310 0132 0321 1023 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289338394274 1.530857656715 3 4 5 4 0132 3201 3201 2310 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 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 0.337216443594 0.396830252842 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : 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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_2, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 127/255*c_1001_0^3 - 497/255*c_1001_0^2 + 709/102*c_1001_0 + 1259/510, c_0011_0 - 1, c_0011_2 - 1, c_0101_0 - 4/51*c_1001_0^3 + 2/51*c_1001_0^2 + 2/51*c_1001_0 - 64/51, c_0101_1 - 5/51*c_1001_0^3 + 28/51*c_1001_0^2 - 74/51*c_1001_0 - 29/51, c_0101_3 + 7/51*c_1001_0^3 - 29/51*c_1001_0^2 + 73/51*c_1001_0 + 10/51, c_0101_6 + 2/51*c_1001_0^3 - 1/51*c_1001_0^2 - 1/51*c_1001_0 - 19/51, c_1001_0^4 - 4*c_1001_0^3 + 14*c_1001_0^2 + 5*c_1001_0 - 5 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 16807/9762*c_1001_0^8 - 51817/9762*c_1001_0^7 - 53861/3254*c_1001_0^6 - 414559/9762*c_1001_0^5 - 219115/9762*c_1001_0^4 - 204860/4881*c_1001_0^3 - 26911/3254*c_1001_0^2 - 106793/9762*c_1001_0 + 25355/4881, c_0011_0 - 1, c_0011_2 - 1, c_0101_0 + 4198/14643*c_1001_0^8 - 16060/14643*c_1001_0^7 - 10585/4881*c_1001_0^6 - 69091/14643*c_1001_0^5 + 26588/14643*c_1001_0^4 - 47014/14643*c_1001_0^3 + 15661/4881*c_1001_0^2 + 4756/14643*c_1001_0 + 11878/14643, c_0101_1 + 410/1627*c_1001_0^8 - 3070/4881*c_1001_0^7 - 14575/4881*c_1001_0^6 - 35729/4881*c_1001_0^5 - 9424/1627*c_1001_0^4 - 27263/4881*c_1001_0^3 - 5740/1627*c_1001_0^2 - 2774/1627*c_1001_0 + 1916/4881, c_0101_3 + 410/1627*c_1001_0^8 - 3070/4881*c_1001_0^7 - 14575/4881*c_1001_0^6 - 35729/4881*c_1001_0^5 - 9424/1627*c_1001_0^4 - 27263/4881*c_1001_0^3 - 5740/1627*c_1001_0^2 - 2774/1627*c_1001_0 + 1916/4881, c_0101_6 + 1012/14643*c_1001_0^8 - 3346/14643*c_1001_0^7 - 2723/4881*c_1001_0^6 - 26878/14643*c_1001_0^5 - 11896/14643*c_1001_0^4 - 26230/14643*c_1001_0^3 + 6124/4881*c_1001_0^2 - 3974/14643*c_1001_0 + 7177/14643, c_1001_0^9 - 3*c_1001_0^8 - 10*c_1001_0^7 - 25*c_1001_0^6 - 14*c_1001_0^5 - 23*c_1001_0^4 - 7*c_1001_0^3 - 5*c_1001_0^2 + 2*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB