Magma V2.19-8 Tue Aug 20 2013 16:08:55 on localhost [Seed = 610646675] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m167 geometric_solution 3.84617466 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 5 0 0 1 1 1230 3012 0132 3201 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 -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 0.335158486229 0.152131877405 2 0 3 0 0132 2310 0132 0132 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 -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 0.190896527571 0.970817147642 1 3 4 3 0132 3201 0132 2310 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 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 0.031472214401 1.665644044849 2 4 2 1 3201 1023 2310 0132 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 1 0 -1 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.031472214401 1.665644044849 3 4 4 2 1023 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -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 -1 0 0 1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479524360933 0.332378711439 ==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_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' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(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_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : 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' : d['c_0101_1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(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 - 2021/165*c_0101_1^8 + 9326/165*c_0101_1^7 - 298/11*c_0101_1^6 + 1700/33*c_0101_1^5 - 9686/165*c_0101_1^4 - 1750/11*c_0101_1^3 - 17444/165*c_0101_1^2 - 9319/55*c_0101_1 - 10319/165, c_0011_0 - 1, c_0011_1 - 3*c_0101_1^7 + 15*c_0101_1^6 - 8*c_0101_1^5 - 5*c_0101_1^4 - 7*c_0101_1^3 - 28*c_0101_1^2 - 2*c_0101_1 + 3, c_0011_3 - 12/11*c_0101_1^8 + 74/11*c_0101_1^7 - 105/11*c_0101_1^6 + 34/11*c_0101_1^5 - 20/11*c_0101_1^4 - 83/11*c_0101_1^3 + 113/11*c_0101_1^2 + 2/11*c_0101_1 - 7/11, c_0101_0 - 13/11*c_0101_1^8 + 93/11*c_0101_1^7 - 177/11*c_0101_1^6 + 68/11*c_0101_1^5 - 7/11*c_0101_1^4 - 45/11*c_0101_1^3 + 237/11*c_0101_1^2 + 26/11*c_0101_1 - 14/11, c_0101_1^9 - 5*c_0101_1^8 + 4*c_0101_1^7 - 5*c_0101_1^6 + 6*c_0101_1^5 + 11*c_0101_1^4 + 4*c_0101_1^3 + 11*c_0101_1^2 + c_0101_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB