Magma V2.19-8 Tue Aug 20 2013 16:14:08 on localhost [Seed = 543276039] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s087 geometric_solution 3.86962842 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 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 0.684765492802 0.186086317164 3 2 4 0 0132 3012 0132 0132 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 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 0.658290792242 0.268467752506 1 3 0 5 1230 3201 0132 0132 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 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 0.658290792242 0.268467752506 1 5 2 4 0132 2031 2310 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.411922665070 2.404338794218 5 3 5 1 1302 1302 1230 0132 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 0 0 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.504729664809 0.932172656653 3 4 2 4 1302 2031 0132 3012 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 -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 1.504729664809 0.932172656653 ==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_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_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_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : negation(d['c_0011_4']), '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_4'], 'c_0011_4' : d['c_0011_4'], '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_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_2']), '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' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0011_4'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_2, c_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 372/5*c_0101_1^6 + 1207/5*c_0101_1^5 + 453/5*c_0101_1^4 - 619*c_0101_1^3 + 1112/5*c_0101_1^2 + 1976/5*c_0101_1 - 1589/5, c_0011_0 - 1, c_0011_1 + 3/5*c_0101_1^6 - 8/5*c_0101_1^5 - 7/5*c_0101_1^4 + 3*c_0101_1^3 + 2/5*c_0101_1^2 - 4/5*c_0101_1 + 1/5, c_0011_2 + 3/5*c_0101_1^6 - 8/5*c_0101_1^5 - 7/5*c_0101_1^4 + 3*c_0101_1^3 + 2/5*c_0101_1^2 - 4/5*c_0101_1 + 1/5, c_0011_4 - 3/5*c_0101_1^6 + 13/5*c_0101_1^5 - 8/5*c_0101_1^4 - 4*c_0101_1^3 + 18/5*c_0101_1^2 - 1/5*c_0101_1 - 1/5, c_0101_0 + 1/5*c_0101_1^6 - 1/5*c_0101_1^5 - 4/5*c_0101_1^4 - c_0101_1^3 + 4/5*c_0101_1^2 + 7/5*c_0101_1 - 3/5, c_0101_1^7 - 3*c_0101_1^6 - 2*c_0101_1^5 + 8*c_0101_1^4 - c_0101_1^3 - 6*c_0101_1^2 + 3*c_0101_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB