Magma V2.19-8 Tue Aug 20 2013 16:14:18 on localhost [Seed = 711702030] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s279 geometric_solution 4.44982989 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 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 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804920433622 0.174749228510 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845148271832 0.353621896365 3 1 4 1 0132 0132 0132 1023 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 0 0 -1 0 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 1.489800960654 0.468729460814 2 4 4 5 0132 0213 2310 0132 0 0 0 0 0 0 0 0 1 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 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 0.355097718437 0.601668712287 5 3 3 2 0132 3201 0213 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 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 0.355097718437 0.601668712287 4 5 3 5 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.144940542775 2.189815091604 ==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_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' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : negation(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_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_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 19350147/3544021*c_0101_3^13 + 46070785/3544021*c_0101_3^12 + 3282674/272617*c_0101_3^11 - 211818639/3544021*c_0101_3^10 + 226922920/3544021*c_0101_3^9 + 3661621/3544021*c_0101_3^8 - 180177735/3544021*c_0101_3^7 + 133100437/3544021*c_0101_3^6 + 70704295/3544021*c_0101_3^5 - 88452149/3544021*c_0101_3^4 - 18943980/3544021*c_0101_3^3 - 162521119/3544021*c_0101_3^2 + 56454808/3544021*c_0101_3 + 64812460/3544021, c_0011_0 - 1, c_0011_4 - 42947/272617*c_0101_3^13 + 25355/272617*c_0101_3^12 + 240317/272617*c_0101_3^11 - 273650/272617*c_0101_3^10 - 150085/272617*c_0101_3^9 + 713513/272617*c_0101_3^8 - 472979/272617*c_0101_3^7 - 75499/272617*c_0101_3^6 + 578518/272617*c_0101_3^5 + 2959/272617*c_0101_3^4 - 206177/272617*c_0101_3^3 - 367843/272617*c_0101_3^2 - 466163/272617*c_0101_3 + 55021/272617, c_0101_0 - 17592/272617*c_0101_3^13 + 86121/272617*c_0101_3^12 - 84497/272617*c_0101_3^11 - 220011/272617*c_0101_3^10 + 691810/272617*c_0101_3^9 - 799969/272617*c_0101_3^8 + 225692/272617*c_0101_3^7 + 396335/272617*c_0101_3^6 - 446718/272617*c_0101_3^5 - 123242/272617*c_0101_3^4 + 181910/272617*c_0101_3^3 - 370937/272617*c_0101_3^2 + 349396/272617*c_0101_3 - 97968/272617, c_0101_1 + 392083/272617*c_0101_3^13 - 905901/272617*c_0101_3^12 - 821536/272617*c_0101_3^11 + 4048329/272617*c_0101_3^10 - 4613420/272617*c_0101_3^9 + 477541/272617*c_0101_3^8 + 2879795/272617*c_0101_3^7 - 2591343/272617*c_0101_3^6 - 1329916/272617*c_0101_3^5 + 1375281/272617*c_0101_3^4 + 175539/272617*c_0101_3^3 + 2978048/272617*c_0101_3^2 - 958685/272617*c_0101_3 - 755067/272617, c_0101_2 - 55021/272617*c_0101_3^13 + 152989/272617*c_0101_3^12 + 139708/272617*c_0101_3^11 - 790527/272617*c_0101_3^10 + 713818/272617*c_0101_3^9 + 370169/272617*c_0101_3^8 - 1208702/272617*c_0101_3^7 + 693063/272617*c_0101_3^6 + 405625/272617*c_0101_3^5 - 743581/272617*c_0101_3^4 - 113001/272617*c_0101_3^3 - 233991/272617*c_0101_3^2 + 367843/272617*c_0101_3 + 413630/272617, c_0101_3^14 - 2*c_0101_3^13 - 3*c_0101_3^12 + 10*c_0101_3^11 - 8*c_0101_3^10 - 4*c_0101_3^9 + 9*c_0101_3^8 - 4*c_0101_3^7 - 6*c_0101_3^6 + 3*c_0101_3^5 + 2*c_0101_3^4 + 8*c_0101_3^3 - 4*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB