Magma V2.19-8 Tue Aug 20 2013 16:08:54 on localhost [Seed = 1309659387] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m099 geometric_solution 3.51408291 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 1 1 2 0132 0213 2031 0132 0 0 0 0 0 -1 1 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 1 -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 0.050325938439 0.987093566878 0 2 0 0 0132 3120 0213 1302 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 0 -1 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 0.948483326279 1.010448663143 3 1 0 3 0132 3120 0132 1023 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 -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 0.193265351291 0.471867202170 2 4 4 2 0132 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.424955974605 0.575586098803 3 3 4 4 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.656587451342 0.185585828103 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_4' : 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' : negation(d['c_0101_3']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : d['c_0101_0']})} 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_2, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 2*c_0101_4^10 - 8*c_0101_4^9 + 35*c_0101_4^8 + 110*c_0101_4^7 - 64*c_0101_4^6 - 354*c_0101_4^5 - 159*c_0101_4^4 + 226*c_0101_4^3 + 147*c_0101_4^2 - 47*c_0101_4 - 33, c_0011_0 - 1, c_0011_2 - 192*c_0101_4^10 - 1241*c_0101_4^9 - 293*c_0101_4^8 + 5734*c_0101_4^7 + 5187*c_0101_4^6 - 5503*c_0101_4^5 - 6316*c_0101_4^4 + 2430*c_0101_4^3 + 2575*c_0101_4^2 - 412*c_0101_4 - 363, c_0101_0 - 75*c_0101_4^10 - 483*c_0101_4^9 - 104*c_0101_4^8 + 2237*c_0101_4^7 + 1976*c_0101_4^6 - 2169*c_0101_4^5 - 2409*c_0101_4^4 + 970*c_0101_4^3 + 970*c_0101_4^2 - 164*c_0101_4 - 135, c_0101_3 + 218*c_0101_4^10 + 1411*c_0101_4^9 + 346*c_0101_4^8 - 6502*c_0101_4^7 - 5941*c_0101_4^6 + 6178*c_0101_4^5 + 7186*c_0101_4^4 - 2706*c_0101_4^3 - 2919*c_0101_4^2 + 457*c_0101_4 + 410, c_0101_4^11 + 7*c_0101_4^10 + 5*c_0101_4^9 - 29*c_0101_4^8 - 43*c_0101_4^7 + 14*c_0101_4^6 + 48*c_0101_4^5 + 5*c_0101_4^4 - 20*c_0101_4^3 - 5*c_0101_4^2 + 3*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB