Magma V2.19-8 Tue Aug 20 2013 16:14:06 on localhost [Seed = 2951623568] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s044 geometric_solution 3.58808902 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 2 0132 0132 2310 2310 0 0 0 0 0 0 -1 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 -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 -3.644130680003 1.590202806232 0 0 3 3 0132 3201 3201 0132 0 0 0 0 0 -1 0 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 0 0 0 1 0 -1 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 0.355029088652 0.231447955162 0 0 2 2 3201 0132 1230 3012 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 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 0.144794351518 0.036234300591 1 4 1 5 2310 0132 0132 0132 0 0 0 0 0 1 -1 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.970095048757 0.531719766346 5 3 5 5 3120 0132 3012 1230 0 0 0 0 0 -1 1 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976454351362 1.013036362643 4 4 3 4 3012 1230 0132 3120 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976454351362 1.013036362643 ==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' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0110_2'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), '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_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_5, c_0101_0, c_0101_1, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 1026335/29*c_0110_2^12 - 2637616/29*c_0110_2^11 - 9345287/29*c_0110_2^10 - 20439756/29*c_0110_2^9 + 47660356/29*c_0110_2^8 + 75924880/29*c_0110_2^7 - 113098343/29*c_0110_2^6 - 63026146/29*c_0110_2^5 + 117629123/29*c_0110_2^4 - 236971*c_0110_2^3 - 40947011/29*c_0110_2^2 + 18309547/29*c_0110_2 - 2384298/29, c_0011_0 - 1, c_0011_3 + 8*c_0110_2^12 - 23*c_0110_2^11 - 67*c_0110_2^10 - 136*c_0110_2^9 + 424*c_0110_2^8 + 487*c_0110_2^7 - 1082*c_0110_2^6 - 254*c_0110_2^5 + 1114*c_0110_2^4 - 307*c_0110_2^3 - 352*c_0110_2^2 + 242*c_0110_2 - 44, c_0011_5 + 35*c_0110_2^12 - 98*c_0110_2^11 - 300*c_0110_2^10 - 619*c_0110_2^9 + 1805*c_0110_2^8 + 2259*c_0110_2^7 - 4537*c_0110_2^6 - 1430*c_0110_2^5 + 4695*c_0110_2^4 - 987*c_0110_2^3 - 1546*c_0110_2^2 + 910*c_0110_2 - 145, c_0101_0 + c_0110_2^12 - 3*c_0110_2^11 - 8*c_0110_2^10 - 16*c_0110_2^9 + 55*c_0110_2^8 + 54*c_0110_2^7 - 142*c_0110_2^6 - 14*c_0110_2^5 + 141*c_0110_2^4 - 56*c_0110_2^3 - 37*c_0110_2^2 + 36*c_0110_2 - 9, c_0101_1 - 1009*c_0110_2^12 + 2551*c_0110_2^11 + 9280*c_0110_2^10 + 20512*c_0110_2^9 - 45864*c_0110_2^8 - 76231*c_0110_2^7 + 107485*c_0110_2^6 + 65241*c_0110_2^5 - 111838*c_0110_2^4 + 3319*c_0110_2^3 + 39266*c_0110_2^2 - 16677*c_0110_2 + 2079, c_0110_2^13 - 3*c_0110_2^12 - 8*c_0110_2^11 - 16*c_0110_2^10 + 55*c_0110_2^9 + 54*c_0110_2^8 - 142*c_0110_2^7 - 14*c_0110_2^6 + 141*c_0110_2^5 - 56*c_0110_2^4 - 37*c_0110_2^3 + 35*c_0110_2^2 - 10*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB