Magma V2.19-8 Tue Aug 20 2013 16:08:54 on localhost [Seed = 1663237590] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m090 geometric_solution 3.48389858 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 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 -2 0 2 0 0 -1 1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409551531052 0.139836696317 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 -1 0 0 1 -1 -1 0 2 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403686655484 0.606808168718 1 3 4 4 0132 3201 0132 3201 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 0 0 0 0 0 0 0 0 1 0 -1 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 -0.855256729304 1.902287760714 4 4 2 1 2310 1023 2310 0132 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.855256729304 1.902287760714 3 2 3 2 1023 2310 3201 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196603384540 0.437291165694 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 10751/7938*c_0101_1^8 + 18568/3969*c_0101_1^7 - 44236/3969*c_0101_1^6 + 63115/2646*c_0101_1^5 - 199639/3969*c_0101_1^4 + 49843/1323*c_0101_1^3 - 462205/7938*c_0101_1^2 + 27035/1323*c_0101_1 - 93908/3969, c_0011_0 - 1, c_0011_1 - 31/63*c_0101_1^8 - 151/63*c_0101_1^7 + 52/63*c_0101_1^6 - 152/21*c_0101_1^5 + 286/63*c_0101_1^4 - 115/21*c_0101_1^3 + 260/63*c_0101_1^2 - 29/21*c_0101_1 + 59/63, c_0011_3 + 68/189*c_0101_1^8 + 317/189*c_0101_1^7 - 110/189*c_0101_1^6 + 475/63*c_0101_1^5 - 794/189*c_0101_1^4 + 551/63*c_0101_1^3 - 739/189*c_0101_1^2 + 151/63*c_0101_1 - 103/189, c_0101_0 + 73/189*c_0101_1^8 + 382/189*c_0101_1^7 + 32/189*c_0101_1^6 + 383/63*c_0101_1^5 - 391/189*c_0101_1^4 + 283/63*c_0101_1^3 - 218/189*c_0101_1^2 + 50/63*c_0101_1 + 109/189, c_0101_1^9 + 5*c_0101_1^8 + 20*c_0101_1^6 - 7*c_0101_1^5 + 26*c_0101_1^4 - 8*c_0101_1^3 + 13*c_0101_1^2 - 2*c_0101_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB