Magma V2.19-8 Tue Aug 20 2013 16:09:05 on localhost [Seed = 1090576331] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m393 geometric_solution 4.85732240 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 0 2 0 0132 1302 0132 2031 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 -2 0 0 1 -1 -1 2 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.022429257183 1.189136142464 0 2 4 3 0132 3201 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 0 0 0 0 0 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 0.457207313601 0.948482601432 3 4 1 0 1023 0132 2310 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 -1 1 0 0 -1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457207313601 0.948482601432 3 2 1 3 3201 1023 0132 2310 0 0 0 0 0 1 0 -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 -1 0 1 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 0.676562361634 0.654243274945 4 2 4 1 2031 0132 1302 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 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 0.611512814111 0.581651265229 ==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' : negation(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' : negation(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_2'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_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_2, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 102891299/2217022*c_0101_2^13 + 254832425/2217022*c_0101_2^12 - 384471213/2217022*c_0101_2^11 + 530759853/1108511*c_0101_2^10 - 132216166/1108511*c_0101_2^9 - 1113596041/2217022*c_0101_2^8 - 91532677/2217022*c_0101_2^7 - 2052445616/1108511*c_0101_2^6 - 5032579187/2217022*c_0101_2^5 - 1740925949/1108511*c_0101_2^4 - 2026682053/2217022*c_0101_2^3 + 150711743/2217022*c_0101_2^2 + 815999927/2217022*c_0101_2 + 126026221/1108511, c_0011_0 - 1, c_0011_2 + 14038128/1108511*c_0101_2^13 + 32794636/1108511*c_0101_2^12 - 57116286/1108511*c_0101_2^11 + 153230756/1108511*c_0101_2^10 - 56692601/1108511*c_0101_2^9 - 147101102/1108511*c_0101_2^8 + 15836049/1108511*c_0101_2^7 - 569834316/1108511*c_0101_2^6 - 605243003/1108511*c_0101_2^5 - 388194959/1108511*c_0101_2^4 - 239907464/1108511*c_0101_2^3 + 51352065/1108511*c_0101_2^2 + 95011917/1108511*c_0101_2 + 19959407/1108511, c_0101_0 - 9906089/1108511*c_0101_2^13 - 27202170/1108511*c_0101_2^12 + 32515943/1108511*c_0101_2^11 - 88389119/1108511*c_0101_2^10 - 12627606/1108511*c_0101_2^9 + 142373100/1108511*c_0101_2^8 + 14730039/1108511*c_0101_2^7 + 387396362/1108511*c_0101_2^6 + 597810894/1108511*c_0101_2^5 + 377817297/1108511*c_0101_2^4 + 239781339/1108511*c_0101_2^3 + 4047630/1108511*c_0101_2^2 - 97688229/1108511*c_0101_2 - 28571561/1108511, c_0101_1 - 10053318/1108511*c_0101_2^13 - 26754772/1108511*c_0101_2^12 + 34486456/1108511*c_0101_2^11 - 94007479/1108511*c_0101_2^10 - 887301/1108511*c_0101_2^9 + 133872978/1108511*c_0101_2^8 + 12614621/1108511*c_0101_2^7 + 395143869/1108511*c_0101_2^6 + 570805632/1108511*c_0101_2^5 + 367141555/1108511*c_0101_2^4 + 228251248/1108511*c_0101_2^3 - 3653050/1108511*c_0101_2^2 - 93379685/1108511*c_0101_2 - 26521542/1108511, c_0101_2^14 + 2*c_0101_2^13 - 5*c_0101_2^12 + 12*c_0101_2^11 - 7*c_0101_2^10 - 11*c_0101_2^9 + 6*c_0101_2^8 - 40*c_0101_2^7 - 30*c_0101_2^6 - 7*c_0101_2^5 - 4*c_0101_2^4 + 12*c_0101_2^3 + 7*c_0101_2^2 - 2*c_0101_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB