Magma V2.19-8 Tue Aug 20 2013 16:14:45 on localhost [Seed = 3802365690] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s725 geometric_solution 5.23868410 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 0213 0132 0 0 0 0 0 2 -1 -1 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 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 -0.585710118803 1.409979433258 0 0 4 2 0132 0213 0132 1230 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 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 -0.051460575410 0.908807774819 1 0 5 3 3012 0132 0132 3201 0 0 0 0 0 -2 1 1 1 0 0 -1 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 -1 1 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 0.396557793597 0.918009758302 4 2 0 5 0321 2310 0132 1230 0 0 0 0 0 -1 1 0 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 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 0.500000000000 0.760644307409 3 5 5 1 0321 2103 3120 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 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 -0.251259291543 0.604856262711 3 4 4 2 3012 2103 3120 0132 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 0 0 0.455625121264 0.470518946484 ==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_0011_3']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_1001_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_3, c_0011_4, c_0101_2, c_0101_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 15*c_1001_0^7 - 30*c_1001_0^6 - 262*c_1001_0^5 - 168*c_1001_0^4 + 393*c_1001_0^3 + 291*c_1001_0^2 - 91*c_1001_0 - 67, c_0011_0 - 1, c_0011_3 - c_1001_0^7 + 5*c_1001_0^6 + 6*c_1001_0^5 - 20*c_1001_0^4 - 5*c_1001_0^3 + 21*c_1001_0^2 + c_1001_0 - 6, c_0011_4 - 10*c_1001_0^7 + 46*c_1001_0^6 + 73*c_1001_0^5 - 146*c_1001_0^4 - 69*c_1001_0^3 + 105*c_1001_0^2 + 15*c_1001_0 - 20, c_0101_2 + c_1001_0^7 - 4*c_1001_0^6 - 10*c_1001_0^5 + 10*c_1001_0^4 + 15*c_1001_0^3 - 6*c_1001_0^2 - 6*c_1001_0 + 1, c_0101_5 - 5*c_1001_0^7 + 21*c_1001_0^6 + 45*c_1001_0^5 - 56*c_1001_0^4 - 55*c_1001_0^3 + 35*c_1001_0^2 + 15*c_1001_0 - 6, c_1001_0^8 - 4*c_1001_0^7 - 10*c_1001_0^6 + 10*c_1001_0^5 + 15*c_1001_0^4 - 6*c_1001_0^3 - 7*c_1001_0^2 + c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB