Magma V2.19-8 Tue Aug 20 2013 16:08:58 on localhost [Seed = 2496989743] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m229 geometric_solution 4.14587198 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 1 0 0 0132 3201 1230 3012 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 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 0.284620749485 0.471629092143 0 2 0 3 0132 0132 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 0 0 0 0 0 -1 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.777408112178 1.082630311746 3 1 4 3 3012 0132 0132 3120 0 0 0 0 0 0 0 0 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 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 0.684067490337 0.565079097779 2 4 1 2 3120 0132 0132 1230 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684067490337 0.565079097779 4 3 4 2 2310 0132 3201 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 0 0 1 0 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.896736155482 0.385859762814 ==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' : d['c_0011_0'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), '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' : d['c_0011_0'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_4' : d['c_0101_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_0011_3']})} 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_1, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1129037/4757863*c_1001_2^7 + 5027744/4757863*c_1001_2^6 + 10569006/4757863*c_1001_2^5 + 25560118/4757863*c_1001_2^4 + 5675189/4757863*c_1001_2^3 + 9495415/4757863*c_1001_2^2 - 63770917/4757863*c_1001_2 - 41084926/4757863, c_0011_0 - 1, c_0011_3 + 11278/432533*c_1001_2^7 + 47941/432533*c_1001_2^6 + 87800/432533*c_1001_2^5 + 244181/432533*c_1001_2^4 + 98051/432533*c_1001_2^3 + 196094/432533*c_1001_2^2 - 113257/432533*c_1001_2 - 384602/432533, c_0101_1 + 64/8161*c_1001_2^7 + 589/8161*c_1001_2^6 + 2096/8161*c_1001_2^5 + 4545/8161*c_1001_2^4 + 6548/8161*c_1001_2^3 + 3809/8161*c_1001_2^2 - 4530/8161*c_1001_2 - 13060/8161, c_0101_2 - 17545/432533*c_1001_2^7 - 69020/432533*c_1001_2^6 - 144106/432533*c_1001_2^5 - 440963/432533*c_1001_2^4 - 180725/432533*c_1001_2^3 - 479945/432533*c_1001_2^2 + 841713/432533*c_1001_2 + 539794/432533, c_1001_2^8 + 5*c_1001_2^7 + 12*c_1001_2^6 + 29*c_1001_2^5 + 21*c_1001_2^4 + 20*c_1001_2^3 - 40*c_1001_2^2 - 54*c_1001_2 - 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB