Magma V2.19-8 Tue Aug 20 2013 16:18:09 on localhost [Seed = 341149997] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2368 geometric_solution 5.73660759 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 1 0 0 0 1 -1 1 0 0 -1 1 -1 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463653998903 1.041059645379 2 3 4 0 1023 0132 0132 0132 0 0 0 0 0 1 0 -1 1 0 0 -1 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 0.247768302124 0.596516722589 5 1 0 4 0132 1023 0132 2310 0 0 0 0 0 -1 0 1 -1 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247768302124 0.596516722589 6 1 4 5 0132 0132 3120 1302 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 0 0 0 0 0 0 0 0 0 0 0.318778988622 0.984476713927 2 5 3 1 3201 1302 3120 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 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 2.195165938553 0.471214298244 2 6 3 4 0132 2310 2031 2031 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 0 0 0 0 0 0 0 0.318778988622 0.984476713927 3 6 6 5 0132 1230 3012 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 1.702302307881 0.919371903862 ==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' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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' : 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' : d['1'], 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : negation(d['c_1001_1']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0101_4']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_4']), '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' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_1'], '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_6']), 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_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_6'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_4, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 11/3*c_1001_1^2 - 23/3*c_1001_1 + 25/3, c_0011_0 - 1, c_0011_1 + c_1001_1, c_0011_4 + c_1001_1^2 + 2*c_1001_1, c_0101_0 - c_1001_1 - 1, c_0101_4 - c_1001_1, c_0101_6 + 1, c_1001_1^3 + 3*c_1001_1^2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_4, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1169/3*c_1001_1^9 + 1784/3*c_1001_1^8 - 4997/3*c_1001_1^7 - 2372/3*c_1001_1^6 + 2357*c_1001_1^5 - 9505/3*c_1001_1^4 - 6851/3*c_1001_1^3 + 9632/3*c_1001_1^2 + 2239/3*c_1001_1 - 2456/3, c_0011_0 - 1, c_0011_1 - 9*c_1001_1^9 + 13*c_1001_1^8 - 38*c_1001_1^7 - 21*c_1001_1^6 + 51*c_1001_1^5 - 73*c_1001_1^4 - 55*c_1001_1^3 + 65*c_1001_1^2 + 16*c_1001_1 - 14, c_0011_4 - 17*c_1001_1^9 + 25*c_1001_1^8 - 73*c_1001_1^7 - 36*c_1001_1^6 + 93*c_1001_1^5 - 136*c_1001_1^4 - 100*c_1001_1^3 + 120*c_1001_1^2 + 31*c_1001_1 - 27, c_0101_0 - 14*c_1001_1^9 + 19*c_1001_1^8 - 56*c_1001_1^7 - 40*c_1001_1^6 + 83*c_1001_1^5 - 105*c_1001_1^4 - 102*c_1001_1^3 + 108*c_1001_1^2 + 37*c_1001_1 - 28, c_0101_4 - c_1001_1, c_0101_6 - 14*c_1001_1^9 + 19*c_1001_1^8 - 57*c_1001_1^7 - 38*c_1001_1^6 + 77*c_1001_1^5 - 103*c_1001_1^4 - 101*c_1001_1^3 + 99*c_1001_1^2 + 37*c_1001_1 - 26, c_1001_1^10 - 2*c_1001_1^9 + 5*c_1001_1^8 - 7*c_1001_1^6 + 11*c_1001_1^5 + 2*c_1001_1^4 - 11*c_1001_1^3 + 2*c_1001_1^2 + 3*c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB