Magma V2.19-8 Tue Aug 20 2013 16:09:04 on localhost [Seed = 1141234382] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m360 geometric_solution 4.73584238 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 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 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 0.829375802390 0.993836035156 0 2 1 1 0132 1302 1230 3012 0 0 0 0 0 -1 1 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.849020328352 0.838593223403 3 0 4 1 0213 0132 2031 2031 0 0 0 0 0 1 0 -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 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 0.505019974859 0.593131586730 2 3 3 0 0213 3201 2310 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 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 -0.150979671648 0.838593223403 4 4 0 2 1230 3012 0132 1302 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 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 0.419932544435 0.706657712340 ==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_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_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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], '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_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 178/27*c_0101_1^11 + 442/27*c_0101_1^9 + 1099/27*c_0101_1^7 + 412/9*c_0101_1^5 + 124/3*c_0101_1^3 - 359/27*c_0101_1, c_0011_0 - 1, c_0011_3 - 16/9*c_0101_1^11 - 37/9*c_0101_1^9 - 91/9*c_0101_1^7 - 31/3*c_0101_1^5 - 8*c_0101_1^3 + 53/9*c_0101_1, c_0011_4 - 11/9*c_0101_1^11 - 26/9*c_0101_1^9 - 62/9*c_0101_1^7 - 20/3*c_0101_1^5 - 5*c_0101_1^3 + 46/9*c_0101_1, c_0101_0 - 2/3*c_0101_1^10 - 5/3*c_0101_1^8 - 11/3*c_0101_1^6 - 4*c_0101_1^4 - 3*c_0101_1^2 + 7/3, c_0101_1^12 + 2*c_0101_1^10 + 5*c_0101_1^8 + 4*c_0101_1^6 + 3*c_0101_1^4 - 5*c_0101_1^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB