Magma V2.19-8 Tue Aug 20 2013 16:15:50 on localhost [Seed = 3103335570] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0062 geometric_solution 3.62003723 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 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 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 -4.758430691862 0.765400140457 0 0 2 2 0132 3201 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 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 0.245732157842 0.046451098962 1 3 1 3 2310 0132 0132 2310 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.468587446300 0.560378078475 2 2 5 4 3201 0132 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 -1 1 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 0.066577769403 7.493469861767 6 5 3 6 0132 2031 0132 2031 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.001513373960 0.511012346978 4 6 6 3 1302 3201 2031 0132 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 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 -0.001513373960 0.511012346978 4 4 5 5 0132 1302 2310 1302 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 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 1.005795349883 1.956882716009 ==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_5' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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_6' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_1010_6']), 'c_1100_4' : negation(d['c_1010_6']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_1010_6']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_4'], '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_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_4'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_4, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 93627413959673/21042178919456*c_1010_6^7 - 1149596058577679/21042178919456*c_1010_6^6 - 3501639686104305/21042178919456*c_1010_6^5 + 28445925211807757/21042178919456*c_1010_6^4 + 1809734519469327/21042178919456*c_1010_6^3 - 19080019729725757/5260544729864*c_1010_6^2 - 39232860345007697/21042178919456*c_1010_6 + 10956161737328561/10521089459728, c_0011_0 - 1, c_0011_2 + 281266067/138435387628*c_1010_6^7 + 3240341049/138435387628*c_1010_6^6 + 7786995689/138435387628*c_1010_6^5 - 94915524975/138435387628*c_1010_6^4 + 51876260693/138435387628*c_1010_6^3 + 59706960744/34608846907*c_1010_6^2 - 85491252171/138435387628*c_1010_6 - 16250286140/34608846907, c_0011_4 + 534923473/138435387628*c_0101_1*c_1010_6^7 + 1706742889/34608846907*c_0101_1*c_1010_6^6 + 23160978723/138435387628*c_0101_1*c_1010_6^5 - 76226461219/69217693814*c_0101_1*c_1010_6^4 - 81118726991/138435387628*c_0101_1*c_1010_6^3 + 476670451605/138435387628*c_0101_1*c_1010_6^2 + 77911951889/34608846907*c_0101_1*c_1010_6 - 33411483161/34608846907*c_0101_1, c_0101_0 - 181785631/276870775256*c_1010_6^7 - 1878754815/276870775256*c_1010_6^6 - 2113748233/276870775256*c_1010_6^5 + 72772802033/276870775256*c_1010_6^4 - 91633088545/276870775256*c_1010_6^3 - 138631767703/138435387628*c_1010_6^2 + 138792074425/276870775256*c_1010_6 + 52581200873/69217693814, c_0101_1^2 - 181785631/276870775256*c_1010_6^7 - 1878754815/276870775256*c_1010_6^6 - 2113748233/276870775256*c_1010_6^5 + 72772802033/276870775256*c_1010_6^4 - 91633088545/276870775256*c_1010_6^3 - 138631767703/138435387628*c_1010_6^2 + 138792074425/276870775256*c_1010_6 - 16636492941/69217693814, c_0101_4 - 604769277/276870775256*c_1010_6^7 - 7319124621/276870775256*c_1010_6^6 - 22057180427/276870775256*c_1010_6^5 + 178071384419/276870775256*c_1010_6^4 - 58536510779/276870775256*c_1010_6^3 - 167492991237/138435387628*c_1010_6^2 - 15423606485/276870775256*c_1010_6 + 16042096677/69217693814, c_1010_6^8 + 12*c_1010_6^7 + 34*c_1010_6^6 - 314*c_1010_6^5 + 66*c_1010_6^4 + 815*c_1010_6^3 + 191*c_1010_6^2 - 337*c_1010_6 + 76 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB