Magma V2.19-8 Tue Aug 20 2013 16:14:56 on localhost [Seed = 3667609281] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s907 geometric_solution 5.67686925 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 2031 0132 0 0 0 0 0 0 1 -1 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 1 -2 1 0 -1 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 0.983649583147 0.853938497245 0 2 5 4 0132 3201 0132 0132 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 1 -1 -1 0 1 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 0.825689670508 0.874674234038 4 0 1 0 0213 0132 2310 1302 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 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 1 -1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720487067439 0.654512111252 5 4 0 5 0213 3120 0132 0321 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 2 -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 0.720487067439 0.654512111252 2 3 1 5 0213 3120 0132 1302 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 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 0.078533080866 0.901047852854 3 3 4 1 0213 0321 2031 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 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 0.921731686459 1.321710624701 ==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' : 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' : 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' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0110_2']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_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_3, c_0011_4, c_0011_5, c_0110_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 15/556*c_1001_2^9 + 5/4*c_1001_2^8 - 588/139*c_1001_2^7 - 4437/556*c_1001_2^6 + 7889/278*c_1001_2^5 - 5487/556*c_1001_2^4 - 16559/556*c_1001_2^3 + 5787/278*c_1001_2^2 + 6291/556*c_1001_2 - 3269/278, c_0011_0 - 1, c_0011_3 - 45/278*c_1001_2^9 + 1/4*c_1001_2^8 + 589/278*c_1001_2^7 - 53/139*c_1001_2^6 - 2771/556*c_1001_2^5 - 257/556*c_1001_2^4 + 1753/278*c_1001_2^3 + 917/556*c_1001_2^2 - 1869/556*c_1001_2 - 293/278, c_0011_4 + 23/278*c_1001_2^9 - 1/4*c_1001_2^8 - 321/556*c_1001_2^7 + 163/139*c_1001_2^6 - 783/556*c_1001_2^5 - 427/278*c_1001_2^4 + 1473/556*c_1001_2^3 + 841/556*c_1001_2^2 - 639/278*c_1001_2 - 587/556, c_0011_5 + 1/556*c_1001_2^9 - 1/4*c_1001_2^8 + 67/139*c_1001_2^7 + 1519/556*c_1001_2^6 - 212/139*c_1001_2^5 - 2025/556*c_1001_2^4 + 585/556*c_1001_2^3 + 516/139*c_1001_2^2 + 81/556*c_1001_2 - 301/278, c_0110_2 - 69/556*c_1001_2^9 + 1/2*c_1001_2^8 + 551/556*c_1001_2^7 - 2229/556*c_1001_2^6 - 563/556*c_1001_2^5 + 4061/556*c_1001_2^4 - 97/278*c_1001_2^3 - 2999/556*c_1001_2^2 + 527/556*c_1001_2 + 811/556, c_1001_2^10 - 3*c_1001_2^9 - 10*c_1001_2^8 + 20*c_1001_2^7 + 16*c_1001_2^6 - 37*c_1001_2^5 - 12*c_1001_2^4 + 31*c_1001_2^3 + 5*c_1001_2^2 - 11*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB