Magma V2.19-8 Tue Aug 20 2013 16:09:03 on localhost [Seed = 2665414692] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m356 geometric_solution 4.71862003 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 3 0132 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 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 0.303155375258 1.040381715940 0 3 4 2 0132 2310 0132 1302 0 0 0 0 0 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170036364950 0.992754517425 0 0 1 3 2310 0132 2031 2031 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 -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 0.517615724461 0.660837026268 4 2 0 1 2310 1302 0132 3201 0 0 0 0 0 0 0 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 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 0 0 0 0.170036364950 0.992754517425 4 4 3 1 1302 2031 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 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 0.426789902559 0.379383001819 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_1'], '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_0101_1']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_1'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_4']), '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_3, c_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 3097701233/227868160*c_0101_1^9 + 304786295/45573632*c_0101_1^8 + 717996491/45573632*c_0101_1^7 - 11720904619/227868160*c_0101_1^6 + 61835713/7120880*c_0101_1^5 - 10662906763/227868160*c_0101_1^4 + 3164879909/113934080*c_0101_1^3 - 288236379/11393408*c_0101_1^2 + 2396442349/113934080*c_0101_1 - 2823719701/227868160, c_0011_0 - 1, c_0011_3 + 4686781/5696704*c_0101_1^9 + 4788531/5696704*c_0101_1^8 + 10719459/5696704*c_0101_1^7 - 13629347/5696704*c_0101_1^6 - 122133/178022*c_0101_1^5 - 29408783/5696704*c_0101_1^4 + 2810455/2848352*c_0101_1^3 - 239745/178022*c_0101_1^2 + 4498859/2848352*c_0101_1 - 2731357/5696704, c_0011_4 + 201311/712088*c_0101_1^9 + 1150699/1424176*c_0101_1^8 + 116191/178022*c_0101_1^7 - 1048209/1424176*c_0101_1^6 - 227910/89011*c_0101_1^5 - 865557/712088*c_0101_1^4 - 340463/1424176*c_0101_1^3 + 869137/1424176*c_0101_1^2 + 802571/1424176*c_0101_1 + 320657/1424176, c_0101_0 - 14233769/5696704*c_0101_1^9 - 10424359/5696704*c_0101_1^8 - 15926279/5696704*c_0101_1^7 + 51137543/5696704*c_0101_1^6 + 216553/178022*c_0101_1^5 + 39497907/5696704*c_0101_1^4 - 6604363/2848352*c_0101_1^3 + 929811/356044*c_0101_1^2 - 6862863/2848352*c_0101_1 + 3348601/5696704, c_0101_1^10 + 10/11*c_0101_1^8 - 48/11*c_0101_1^7 + 27/11*c_0101_1^6 - 41/11*c_0101_1^5 + 41/11*c_0101_1^4 - 30/11*c_0101_1^3 + 26/11*c_0101_1^2 - 17/11*c_0101_1 + 5/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB