Magma V2.19-8 Tue Aug 20 2013 16:14:17 on localhost [Seed = 1511769722] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s259 geometric_solution 4.41857364 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 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 0.199399879757 0.480665221454 2 2 3 0 1023 3012 0132 0132 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 -1 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 0.447088043166 1.170458754338 1 1 0 3 1230 1023 0132 2310 0 0 0 0 0 0 1 -1 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 0.447088043166 1.170458754338 2 4 4 1 3201 0132 3201 0132 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 -1 0 1 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 0.303363537043 0.598307220012 3 3 5 5 2310 0132 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 -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 2.399219653690 1.281894259176 5 4 4 5 3201 3201 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 0 0 1 0 0 -1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.588158130498 0.147273723591 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : 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' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : 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' : negation(d['1']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0011_1']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), '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' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0011_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0011_1']), 'c_1010_2' : d['c_0101_0'], '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_3, c_0011_5, c_0101_0, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 27/7*c_0101_4^4 + 13*c_0101_4^3 + 80/7*c_0101_4^2 - 229/7*c_0101_4 + 75/7, c_0011_0 - 1, c_0011_1 + 1/7*c_0101_4^4 - 11/7*c_0101_4^2 - 5/7*c_0101_4 + 5/7, c_0011_3 - 6/7*c_0101_4^4 + 2*c_0101_4^3 + 31/7*c_0101_4^2 - 19/7*c_0101_4 - 2/7, c_0011_5 + 3/7*c_0101_4^4 - c_0101_4^3 - 19/7*c_0101_4^2 + 13/7*c_0101_4 + 1/7, c_0101_0 - 3/7*c_0101_4^4 + c_0101_4^3 + 19/7*c_0101_4^2 - 13/7*c_0101_4 - 8/7, c_0101_4^5 - 3*c_0101_4^4 - 4*c_0101_4^3 + 7*c_0101_4^2 - c_0101_4 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2678/225*c_0101_4^7 - 4316/75*c_0101_4^6 - 16574/225*c_0101_4^5 + 8192/225*c_0101_4^4 + 2195/9*c_0101_4^3 + 25507/75*c_0101_4^2 + 1948/9*c_0101_4 + 15802/225, c_0011_0 - 1, c_0011_1 - 13/25*c_0101_4^7 - 58/25*c_0101_4^6 - 54/25*c_0101_4^5 + 82/25*c_0101_4^4 + 10*c_0101_4^3 + 241/25*c_0101_4^2 + 3*c_0101_4 - 8/25, c_0011_3 - 24/25*c_0101_4^7 - 109/25*c_0101_4^6 - 117/25*c_0101_4^5 + 111/25*c_0101_4^4 + 19*c_0101_4^3 + 543/25*c_0101_4^2 + 10*c_0101_4 + 41/25, c_0011_5 + 16/25*c_0101_4^7 + 81/25*c_0101_4^6 + 103/25*c_0101_4^5 - 74/25*c_0101_4^4 - 14*c_0101_4^3 - 437/25*c_0101_4^2 - 9*c_0101_4 - 44/25, c_0101_0 - 1/25*c_0101_4^7 + 9/25*c_0101_4^6 + 42/25*c_0101_4^5 + 14/25*c_0101_4^4 - 3*c_0101_4^3 - 143/25*c_0101_4^2 - 3*c_0101_4 + 9/25, c_0101_4^8 + 5*c_0101_4^7 + 7*c_0101_4^6 - 2*c_0101_4^5 - 21*c_0101_4^4 - 32*c_0101_4^3 - 23*c_0101_4^2 - 9*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB