Magma V2.19-8 Tue Aug 20 2013 16:14:24 on localhost [Seed = 1225315659] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s394 geometric_solution 4.63704667 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 2 0132 0132 0132 2310 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 1 0 -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 1.058986966050 0.479640239243 0 4 4 5 0132 0132 1023 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 0 0 0 0 0 1 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.787937498353 0.296859323251 0 0 5 5 3201 0132 2310 1023 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 -1 0 1 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 0.843534000888 0.429954565344 5 3 3 0 0132 1230 3012 0132 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961161802635 0.613313497162 4 1 1 4 3201 0132 1023 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 -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 1.038370340184 0.388875986323 3 2 1 2 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.058986966050 0.479640239243 ==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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0110_2'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0110_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_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 305/301104*c_0110_2^8 + 2989/50184*c_0110_2^7 + 6557/75276*c_0110_2^6 + 18671/100368*c_0110_2^5 + 23161/75276*c_0110_2^4 + 154363/301104*c_0110_2^3 + 17575/50184*c_0110_2^2 + 416/1107*c_0110_2 + 3589/37638, c_0011_0 - 1, c_0101_0 + 1/8*c_0110_2^8 + 1/4*c_0110_2^7 + 1/2*c_0110_2^6 + 5/8*c_0110_2^5 + c_0110_2^4 + 3/8*c_0110_2^3 - 1/4*c_0110_2^2 - 3*c_0110_2 - 2, c_0101_1 + 7/36*c_0110_2^8 + 5/12*c_0110_2^7 + 4/9*c_0110_2^6 + 3/4*c_0110_2^5 + 29/36*c_0110_2^4 + 11/36*c_0110_2^3 - 17/12*c_0110_2^2 - 16/9*c_0110_2 - 20/9, c_0101_3 - 1/6*c_0110_2^8 - 1/4*c_0110_2^7 - 1/6*c_0110_2^6 - 1/2*c_0110_2^5 - 7/12*c_0110_2^4 + 1/6*c_0110_2^3 + 5/4*c_0110_2^2 + 7/6*c_0110_2 + 4/3, c_0101_4 + 1/72*c_0110_2^8 + 1/18*c_0110_2^6 - 1/24*c_0110_2^5 + 7/36*c_0110_2^4 - 25/72*c_0110_2^3 - 1/3*c_0110_2^2 - 5/9*c_0110_2 - 1/9, c_0110_2^9 + 2*c_0110_2^8 + 4*c_0110_2^7 + 5*c_0110_2^6 + 8*c_0110_2^5 + 3*c_0110_2^4 - 2*c_0110_2^3 - 16*c_0110_2^2 - 16*c_0110_2 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB