Magma V2.19-8 Tue Aug 20 2013 16:18:17 on localhost [Seed = 2581071021] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2501 geometric_solution 5.82216698 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 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 -0.300102873987 1.232366652179 0 1 0 1 0132 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.548574207369 0.698192836545 4 5 6 0 0132 0132 0132 0132 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 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 0.086640375338 0.677675099723 5 4 0 6 0132 3201 0132 0132 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 0 1 -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 0 0 0.086640375338 0.677675099723 2 4 3 4 0132 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431924567772 1.771819694930 3 2 5 5 0132 0132 2031 1302 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 -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 0.478931847221 0.430801102090 6 6 3 2 1230 3012 0132 0132 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 -1 1 0 1 0 -1 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.026097765255 1.688939753692 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_2_5' : 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' : d['1'], 's_0_4' : 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' : d['c_1100_0'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], '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_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_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_6, c_0101_0, c_0101_1, c_0101_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 62040765/85489*c_1100_0^12 - 41520036/85489*c_1100_0^11 + 928771809/85489*c_1100_0^10 + 1123862109/85489*c_1100_0^9 - 3989622636/85489*c_1100_0^8 - 6304468232/85489*c_1100_0^7 + 4564976620/85489*c_1100_0^6 + 10673584750/85489*c_1100_0^5 + 2782408587/85489*c_1100_0^4 - 2215461465/85489*c_1100_0^3 - 1281269076/85489*c_1100_0^2 + 16060354/85489*c_1100_0 + 36739515/85489, c_0011_0 - 1, c_0011_2 - 215706/427445*c_1100_0^12 - 334929/427445*c_1100_0^11 + 3121226/427445*c_1100_0^10 + 1346976/85489*c_1100_0^9 - 10635834/427445*c_1100_0^8 - 34040369/427445*c_1100_0^7 - 556819/85489*c_1100_0^6 + 50833008/427445*c_1100_0^5 + 41735942/427445*c_1100_0^4 + 196055/85489*c_1100_0^3 - 10794277/427445*c_1100_0^2 - 3315479/427445*c_1100_0 - 23423/427445, c_0011_6 + 191101/427445*c_1100_0^12 + 102834/427445*c_1100_0^11 - 2966171/427445*c_1100_0^10 - 606597/85489*c_1100_0^9 + 13935554/427445*c_1100_0^8 + 18037754/427445*c_1100_0^7 - 4347334/85489*c_1100_0^6 - 34564998/427445*c_1100_0^5 + 2204028/427445*c_1100_0^4 + 3180708/85489*c_1100_0^3 + 4892142/427445*c_1100_0^2 - 2172516/427445*c_1100_0 - 799637/427445, c_0101_0 + 33084/85489*c_1100_0^12 + 51874/85489*c_1100_0^11 - 467769/85489*c_1100_0^10 - 1058642/85489*c_1100_0^9 + 1499776/85489*c_1100_0^8 + 5381973/85489*c_1100_0^7 + 945717/85489*c_1100_0^6 - 8172490/85489*c_1100_0^5 - 7074874/85489*c_1100_0^4 + 155887/85489*c_1100_0^3 + 1815419/85489*c_1100_0^2 + 430115/85489*c_1100_0 - 53309/85489, c_0101_1 + 18790/85489*c_1100_0^12 + 47281/85489*c_1100_0^11 - 269219/85489*c_1100_0^10 - 849142/85489*c_1100_0^9 + 728125/85489*c_1100_0^8 + 4111062/85489*c_1100_0^7 + 1474319/85489*c_1100_0^6 - 5950760/85489*c_1100_0^5 - 5727963/85489*c_1100_0^4 - 245322/85489*c_1100_0^3 + 1253014/85489*c_1100_0^2 + 376806/85489*c_1100_0 - 20225/85489, c_0101_5 + 102609/427445*c_1100_0^12 - 6604/427445*c_1100_0^11 - 1583679/427445*c_1100_0^10 - 169512/85489*c_1100_0^9 + 8060371/427445*c_1100_0^8 + 6961416/427445*c_1100_0^7 - 3120256/85489*c_1100_0^6 - 17435922/427445*c_1100_0^5 + 7915717/427445*c_1100_0^4 + 2712701/85489*c_1100_0^3 + 2187673/427445*c_1100_0^2 - 2150014/427445*c_1100_0 - 693968/427445, c_1100_0^13 + 2*c_1100_0^12 - 14*c_1100_0^11 - 38*c_1100_0^10 + 39*c_1100_0^9 + 186*c_1100_0^8 + 67*c_1100_0^7 - 263*c_1100_0^6 - 281*c_1100_0^5 - 36*c_1100_0^4 + 67*c_1100_0^3 + 30*c_1100_0^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB