Magma V2.19-8 Tue Aug 20 2013 16:19:24 on localhost [Seed = 71670021] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3503 geometric_solution 6.77505616 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 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 -1 0 1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566756441727 0.802840714326 3 4 5 0 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537833874041 0.606199921535 4 3 0 6 2310 3201 0132 0132 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 -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 0.537833874041 0.606199921535 1 3 2 3 0132 2310 2310 3201 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 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 0.795362787462 1.043237122476 6 1 2 5 3012 0132 3201 3012 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 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 0 0 0 0 0 0 0 0.748895482505 0.616266848956 6 6 4 1 1302 2031 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567034317168 1.391629491084 5 5 2 4 1302 2031 0132 1230 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 -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 0.567034317168 1.391629491084 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(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_0110_4'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0110_4'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0011_1'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_1, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 9/2*c_0101_1^5 - 7/2*c_0101_1^3 - 15/8*c_0101_1, c_0011_0 - 1, c_0011_1 + 2*c_0101_1^5 - c_0101_1^3, c_0011_5 - c_0101_1^4 - 1/2*c_0101_1^2, c_0011_6 - c_0101_1^4 - 1/2*c_0101_1^2, c_0101_0 + 2*c_0101_1^3 - c_0101_1, c_0101_1^6 - c_0101_1^4 + 1/4*c_0101_1^2 - 1/2, c_0110_4 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 473/69*c_0101_1*c_0110_4^4 + 771/23*c_0101_1*c_0110_4^3 - 590/23*c_0101_1*c_0110_4^2 + 2062/69*c_0101_1*c_0110_4 - 14/69*c_0101_1, c_0011_0 - 1, c_0011_1 + 4/23*c_0101_1*c_0110_4^4 + 27/23*c_0101_1*c_0110_4^3 + 18/23*c_0101_1*c_0110_4^2 - 29/23*c_0101_1*c_0110_4 + 24/23*c_0101_1, c_0011_5 - 7/23*c_0110_4^4 - 30/23*c_0110_4^3 + 49/23*c_0110_4^2 - 24/23*c_0110_4 + 4/23, c_0011_6 - 7/23*c_0110_4^4 - 30/23*c_0110_4^3 + 49/23*c_0110_4^2 - 24/23*c_0110_4 + 4/23, c_0101_0 - 14/23*c_0101_1*c_0110_4^4 - 60/23*c_0101_1*c_0110_4^3 + 98/23*c_0101_1*c_0110_4^2 - 71/23*c_0101_1*c_0110_4 + 8/23*c_0101_1, c_0101_1^2 + 5/23*c_0110_4^4 + 28/23*c_0110_4^3 - 12/23*c_0110_4^2 + 4/23*c_0110_4 + 7/23, c_0110_4^5 + 5*c_0110_4^4 - 3*c_0110_4^3 + 5*c_0110_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB