Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 509575743] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s332 geometric_solution 4.51710846 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 1 0 1 2310 0132 3201 2310 0 0 0 0 0 -1 1 0 -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 1 -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 -0.382430945362 0.751302400414 0 0 3 2 3201 0132 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 0 0 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.827947264004 1.137665282510 3 4 1 3 1302 0132 0132 3012 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 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 0.617569054638 0.751302400414 4 2 2 1 3201 2031 1230 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617569054638 0.751302400414 5 2 5 3 0132 0132 2310 2310 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.853406156623 0.327533605870 4 4 5 5 0132 3201 1230 3012 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574148135815 0.188373501598 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0110_2'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0110_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : negation(d['c_0011_2']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0011_2']})} 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_2, c_0101_0, c_0101_3, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 14*c_0101_4*c_0110_2^8 + 26*c_0101_4*c_0110_2^7 + 161*c_0101_4*c_0110_2^6 - 138*c_0101_4*c_0110_2^5 - 629*c_0101_4*c_0110_2^4 - 126*c_0101_4*c_0110_2^3 + 613*c_0101_4*c_0110_2^2 + 755*c_0101_4*c_0110_2 + 281*c_0101_4, c_0011_0 - 1, c_0011_2 + 4*c_0101_4*c_0110_2^8 + 6*c_0101_4*c_0110_2^7 - 27*c_0101_4*c_0110_2^6 - 55*c_0101_4*c_0110_2^5 + 4*c_0101_4*c_0110_2^4 + 77*c_0101_4*c_0110_2^3 + 85*c_0101_4*c_0110_2^2 + 38*c_0101_4*c_0110_2 + 6*c_0101_4, c_0101_0 + 6*c_0101_4*c_0110_2^8 + 10*c_0101_4*c_0110_2^7 - 40*c_0101_4*c_0110_2^6 - 89*c_0101_4*c_0110_2^5 - 2*c_0101_4*c_0110_2^4 + 120*c_0101_4*c_0110_2^3 + 143*c_0101_4*c_0110_2^2 + 68*c_0101_4*c_0110_2 + 12*c_0101_4, c_0101_3 - c_0110_2^8 - c_0110_2^7 + 7*c_0110_2^6 + 10*c_0110_2^5 - 4*c_0110_2^4 - 15*c_0110_2^3 - 16*c_0110_2^2 - 6*c_0110_2 - 1, c_0101_4^2 + c_0110_2^8 - c_0110_2^7 - 6*c_0110_2^6 + 2*c_0110_2^5 + 7*c_0110_2^4 + 5*c_0110_2^3 - 2*c_0110_2^2 - 3*c_0110_2 - 1, c_0110_2^9 + 2*c_0110_2^8 - 6*c_0110_2^7 - 17*c_0110_2^6 - 6*c_0110_2^5 + 19*c_0110_2^4 + 31*c_0110_2^3 + 21*c_0110_2^2 + 7*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB