Magma V2.19-8 Tue Aug 20 2013 16:16:42 on localhost [Seed = 3583265052] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0994 geometric_solution 4.88534952 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 1 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.445501341162 0.541285833382 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 -1 1 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 1 -1 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 0.515155719827 3.098140518889 3 3 1 4 1023 2031 0132 0132 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 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 0.243143604512 0.663597817913 2 2 4 1 1302 1023 0132 0132 0 0 0 0 0 0 1 -1 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 -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 0.243143604512 0.663597817913 5 5 2 3 0132 2310 0132 0132 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 -1 0 1 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 -0.486079320212 0.412420932104 4 6 6 4 0132 0132 3201 3201 0 0 0 0 0 0 -1 1 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 -1 1 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 -0.068832533932 0.687453799032 5 5 6 6 2310 0132 2031 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 1 0 -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 2.877757655041 1.587155981578 ==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_0101_6'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_1100_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_1100_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 48*c_1100_1 - 58, c_0011_0 - 1, c_0011_2 + 2*c_0101_1*c_1100_1 - c_0101_1, c_0011_4 - 2*c_1100_1, c_0101_0 - c_1100_1 + 1/2, c_0101_1^2 - c_1100_1 - 1/2, c_0101_6 + 2*c_1100_1 + 1, c_1100_1^2 - c_1100_1 - 1/4 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 123*c_1100_1^5 + 460*c_1100_1^4 - 249*c_1100_1^3 - 804*c_1100_1^2 + 407*c_1100_1 + 476, c_0011_0 - 1, c_0011_2 - 2*c_0101_1*c_1100_1^5 + 10*c_0101_1*c_1100_1^4 - 15*c_0101_1*c_1100_1^3 - c_0101_1*c_1100_1^2 + 14*c_0101_1*c_1100_1 - 4*c_0101_1, c_0011_4 + 2*c_1100_1^5 - 10*c_1100_1^4 + 15*c_1100_1^3 - 12*c_1100_1 + 3, c_0101_0 + c_1100_1^5 - 5*c_1100_1^4 + 8*c_1100_1^3 - c_1100_1^2 - 6*c_1100_1 + 2, c_0101_1^2 + c_1100_1^5 - 5*c_1100_1^4 + 8*c_1100_1^3 - c_1100_1^2 - 6*c_1100_1 + 1, c_0101_6 - 3*c_1100_1^5 + 14*c_1100_1^4 - 19*c_1100_1^3 - 3*c_1100_1^2 + 15*c_1100_1 - 3, c_1100_1^6 - 4*c_1100_1^5 + 3*c_1100_1^4 + 6*c_1100_1^3 - 5*c_1100_1^2 - 3*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB