Magma V2.19-8 Tue Aug 20 2013 16:09:00 on localhost [Seed = 1225316338] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m266 geometric_solution 4.27416815 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 3 0132 0132 1023 0132 0 0 0 0 0 -1 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 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 -0.070941958314 0.798978577754 0 4 4 2 0132 0132 1023 2310 0 0 0 0 0 1 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 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 0.338925310310 0.693921623845 1 0 0 3 3201 0132 1023 3201 0 0 0 0 0 1 -1 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 1 0 -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 -0.070941958314 0.798978577754 3 2 0 3 3012 2310 0132 1230 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 0 0 0 0 0 0 0.620348424424 1.137722695237 4 1 1 4 3201 0132 1023 2310 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 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.507530579014 0.577412674269 ==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_0'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0101_1'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 19*c_0101_4^12 + 43*c_0101_4^11 - 86*c_0101_4^10 - 233*c_0101_4^9 + 411*c_0101_4^8 + 439*c_0101_4^7 - 819*c_0101_4^6 - 284*c_0101_4^5 + 577*c_0101_4^4 + 89*c_0101_4^3 - 179*c_0101_4^2 - 15*c_0101_4 + 20, c_0011_0 - 1, c_0011_3 - 25*c_0101_4^12 - 56*c_0101_4^11 + 126*c_0101_4^10 + 330*c_0101_4^9 - 597*c_0101_4^8 - 699*c_0101_4^7 + 1327*c_0101_4^6 + 575*c_0101_4^5 - 1200*c_0101_4^4 - 200*c_0101_4^3 + 465*c_0101_4^2 + 25*c_0101_4 - 65, c_0101_0 + 7*c_0101_4^12 + 20*c_0101_4^11 - 23*c_0101_4^10 - 106*c_0101_4^9 + 104*c_0101_4^8 + 258*c_0101_4^7 - 224*c_0101_4^6 - 288*c_0101_4^5 + 184*c_0101_4^4 + 143*c_0101_4^3 - 64*c_0101_4^2 - 25*c_0101_4 + 8, c_0101_1 + c_0101_4^12 + 3*c_0101_4^11 - 3*c_0101_4^10 - 16*c_0101_4^9 + 13*c_0101_4^8 + 41*c_0101_4^7 - 28*c_0101_4^6 - 51*c_0101_4^5 + 23*c_0101_4^4 + 31*c_0101_4^3 - 8*c_0101_4^2 - 8*c_0101_4 + 1, c_0101_4^13 + 3*c_0101_4^12 - 3*c_0101_4^11 - 16*c_0101_4^10 + 13*c_0101_4^9 + 41*c_0101_4^8 - 28*c_0101_4^7 - 51*c_0101_4^6 + 23*c_0101_4^5 + 31*c_0101_4^4 - 8*c_0101_4^3 - 9*c_0101_4^2 + c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB