Magma V2.19-8 Tue Aug 20 2013 16:18:00 on localhost [Seed = 4139215416] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2242 geometric_solution 5.67362816 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 1 -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 0.964754949568 0.575178940509 0 5 6 5 0132 0132 0132 2310 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 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 0.405863371273 1.144945837829 6 0 5 3 2310 0132 3120 1230 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 1 0 -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 0.106136444537 1.732085696285 2 3 3 0 3012 3201 2310 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 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 0.908135585442 0.262828066411 6 5 0 6 0132 1302 0132 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 -1 1 0 0 1 -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 1.289851441979 0.560109434540 1 1 2 4 3201 0132 3120 2031 0 0 0 0 0 -1 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 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 0.357074870388 0.688110052261 4 4 2 1 0132 2310 3201 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 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347716297407 0.283249871984 ==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_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_0'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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_3'], 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0110_5'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0110_5'], '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_0011_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0110_5']), 'c_1010_0' : d['c_0110_5']})} 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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 416839/88483*c_0101_3^7 + 138325/88483*c_0101_3^6 + 881726/88483*c_0101_3^5 + 709067/88483*c_0101_3^4 - 4751245/88483*c_0101_3^3 + 3823559/88483*c_0101_3^2 + 2134449/88483*c_0101_3 + 1052502/88483, c_0011_0 - 1, c_0011_3 - 719/4657*c_0101_3^7 - 766/4657*c_0101_3^6 - 1710/4657*c_0101_3^5 - 2761/4657*c_0101_3^4 + 7526/4657*c_0101_3^3 - 1057/4657*c_0101_3^2 - 8659/4657*c_0101_3 - 73/4657, c_0101_0 - 1301/4657*c_0101_3^7 - 693/4657*c_0101_3^6 - 2155/4657*c_0101_3^5 - 2431/4657*c_0101_3^4 + 16293/4657*c_0101_3^3 - 6738/4657*c_0101_3^2 - 11743/4657*c_0101_3 + 548/4657, c_0101_1 + 621/4657*c_0101_3^7 - 582/4657*c_0101_3^6 + 1315/4657*c_0101_3^5 + 176/4657*c_0101_3^4 - 7122/4657*c_0101_3^3 + 16840/4657*c_0101_3^2 - 4439/4657*c_0101_3 - 2463/4657, c_0101_2 - 621/4657*c_0101_3^7 + 582/4657*c_0101_3^6 - 1315/4657*c_0101_3^5 - 176/4657*c_0101_3^4 + 7122/4657*c_0101_3^3 - 16840/4657*c_0101_3^2 + 4439/4657*c_0101_3 + 2463/4657, c_0101_3^8 + 2*c_0101_3^6 + c_0101_3^5 - 12*c_0101_3^4 + 13*c_0101_3^3 + 2*c_0101_3^2 + c_0101_3 - 1, c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB