Magma V2.19-8 Tue Aug 20 2013 16:14:42 on localhost [Seed = 2134827874] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s686 geometric_solution 5.18385041 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577707409689 0.439515207353 0 3 4 5 0132 3012 1230 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 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 1.136708762803 1.183067851641 5 0 3 5 0213 0132 3120 0321 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199976948427 1.215792213415 1 5 2 0 1230 0321 3120 0132 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.418785345519 0.574404391439 4 4 0 1 1230 3012 0132 3012 0 0 0 0 0 1 -1 0 -1 0 0 1 -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 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 0.903613466571 0.834122163742 2 2 1 3 0213 0321 0132 0321 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 0.868275157317 0.800842493631 ==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' : d['c_0011_4'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), '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' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_1, c_0101_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 3*c_1001_0^8 + 1/2*c_1001_0^7 - 25/2*c_1001_0^6 - 8*c_1001_0^5 + 39/2*c_1001_0^4 + 27/2*c_1001_0^3 - 35/2*c_1001_0^2 - 19/2*c_1001_0 + 13/2, c_0011_0 - 1, c_0011_3 + 1/2*c_1001_0^8 + 1/2*c_1001_0^7 - 2*c_1001_0^6 - 5/2*c_1001_0^5 + 3/2*c_1001_0^4 + 7/2*c_1001_0^3 - 1/2*c_1001_0^2 - 3/2*c_1001_0, c_0011_4 + 1/2*c_1001_0^7 - 1/2*c_1001_0^6 - 2*c_1001_0^5 + 1/2*c_1001_0^4 + 7/2*c_1001_0^3 + 1/2*c_1001_0^2 - 5/2*c_1001_0 + 1/2, c_0101_1 + 1/2*c_1001_0^8 - 1/2*c_1001_0^7 - 2*c_1001_0^6 + 1/2*c_1001_0^5 + 7/2*c_1001_0^4 + 1/2*c_1001_0^3 - 5/2*c_1001_0^2 + 1/2*c_1001_0, c_0101_3 - c_1001_0, c_1001_0^9 - 4*c_1001_0^7 - 2*c_1001_0^6 + 6*c_1001_0^5 + 3*c_1001_0^4 - 5*c_1001_0^3 - c_1001_0^2 + 2*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB