Magma V2.19-8 Tue Aug 20 2013 16:09:05 on localhost [Seed = 1208604354] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m392 geometric_solution 4.85365946 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 -1 1 0 1 0 -1 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 -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 0.678753064244 1.156293096723 0 1 1 2 0132 3201 2310 0213 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 0.578729779765 0.753180403898 3 0 4 1 1302 0132 2031 0213 0 0 0 0 0 1 -1 0 0 0 0 0 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 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 0.622436601499 0.643199971036 3 2 3 0 2310 2031 3201 0132 0 0 0 0 0 -1 1 0 -1 0 0 1 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 1 -1 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.065668050536 0.902992046175 4 4 0 2 1230 3012 0132 1302 0 0 0 0 0 1 -1 0 1 0 -1 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 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 0.241584236180 0.634150565576 ==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_0011_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(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_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_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' : 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 - 155/17*c_0101_1^11 - 269/51*c_0101_1^10 + 903/17*c_0101_1^9 + 559/51*c_0101_1^8 - 1472/51*c_0101_1^7 - 4477/51*c_0101_1^6 - 922/51*c_0101_1^5 + 4952/51*c_0101_1^4 + 1744/51*c_0101_1^3 - 716/17*c_0101_1^2 - 775/51*c_0101_1 + 157/51, c_0011_0 - 1, c_0011_3 - 57/17*c_0101_1^11 - 14/17*c_0101_1^10 + 363/17*c_0101_1^9 - 36/17*c_0101_1^8 - 316/17*c_0101_1^7 - 482/17*c_0101_1^6 + 98/17*c_0101_1^5 + 838/17*c_0101_1^4 + 10/17*c_0101_1^3 - 499/17*c_0101_1^2 - 27/17*c_0101_1 + 106/17, c_0011_4 + 54/17*c_0101_1^11 + 24/17*c_0101_1^10 - 343/17*c_0101_1^9 - 33/17*c_0101_1^8 + 311/17*c_0101_1^7 + 496/17*c_0101_1^6 + 19/17*c_0101_1^5 - 793/17*c_0101_1^4 - 141/17*c_0101_1^3 + 445/17*c_0101_1^2 + 73/17*c_0101_1 - 87/17, c_0101_0 - c_0101_1^11 - c_0101_1^10 + 6*c_0101_1^9 + 4*c_0101_1^8 - 5*c_0101_1^7 - 12*c_0101_1^6 - 5*c_0101_1^5 + 14*c_0101_1^4 + 10*c_0101_1^3 - 7*c_0101_1^2 - 5*c_0101_1 + 1, c_0101_1^12 + c_0101_1^11 - 6*c_0101_1^10 - 4*c_0101_1^9 + 5*c_0101_1^8 + 12*c_0101_1^7 + 5*c_0101_1^6 - 14*c_0101_1^5 - 10*c_0101_1^4 + 7*c_0101_1^3 + 6*c_0101_1^2 - c_0101_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB