Magma V2.19-8 Tue Aug 20 2013 16:14:56 on localhost [Seed = 3718005190] 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' : 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' : 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' : negation(d['1']), 's_0_1' : negation(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 + 19/2*c_1001_2^9 - 8*c_1001_2^8 - 32*c_1001_2^7 + 85/2*c_1001_2^6 + 53/2*c_1001_2^5 - 82*c_1001_2^4 - 25/2*c_1001_2^3 + 139/2*c_1001_2^2 + 29*c_1001_2 - 3, c_0011_0 - 1, c_0011_3 - 1/2*c_1001_2^9 + 1/2*c_1001_2^8 + 3/2*c_1001_2^7 - 5/2*c_1001_2^6 - c_1001_2^5 + 5*c_1001_2^4 - 5*c_1001_2^2 + 3/2, c_0011_4 + 1/2*c_1001_2^8 - c_1001_2^7 - c_1001_2^6 + 7/2*c_1001_2^5 - 3/2*c_1001_2^4 - 4*c_1001_2^3 + 7/2*c_1001_2^2 + 3/2*c_1001_2 - 1, c_0011_5 - 1/2*c_1001_2^9 + c_1001_2^8 + c_1001_2^7 - 7/2*c_1001_2^6 + 3/2*c_1001_2^5 + 4*c_1001_2^4 - 7/2*c_1001_2^3 - 5/2*c_1001_2^2 + c_1001_2 + 1, c_0110_2 - 1/2*c_1001_2^9 + 1/2*c_1001_2^8 + 2*c_1001_2^7 - 7/2*c_1001_2^6 - c_1001_2^5 + 13/2*c_1001_2^4 - 5/2*c_1001_2^3 - 4*c_1001_2^2 + 1/2*c_1001_2 + 1, c_1001_2^10 - c_1001_2^9 - 4*c_1001_2^8 + 6*c_1001_2^7 + 4*c_1001_2^6 - 13*c_1001_2^5 + 13*c_1001_2^3 + c_1001_2^2 - 5*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB