Magma V2.19-8 Tue Aug 20 2013 16:17:26 on localhost [Seed = 3549581081] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1666 geometric_solution 5.39985735 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 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 0.445142585594 0.256154263085 0 3 0 3 0132 0132 2310 2310 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 -1 0 1 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 -0.687636084475 0.971138667844 4 0 5 0 0132 2310 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.867221329931 0.714984404759 1 1 4 5 3201 0132 3012 1230 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 1 -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 0.251078699015 1.352004460276 2 3 4 4 0132 1230 1230 3012 0 0 0 0 0 0 -1 1 -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 0 0 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.077589029497 1.055859317767 3 6 6 2 3012 0132 3201 0132 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 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 0.722028769783 0.615446132754 5 5 6 6 2310 0132 1230 3012 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 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 1.674400881659 0.506933985659 ==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' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(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_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : 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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 66327/14660*c_0101_6^10 + 122381/14660*c_0101_6^9 - 357209/14660*c_0101_6^8 - 685121/14660*c_0101_6^7 - 197403/2932*c_0101_6^6 + 901169/7330*c_0101_6^5 + 1870263/7330*c_0101_6^4 + 625563/14660*c_0101_6^3 - 1223617/7330*c_0101_6^2 - 659737/14660*c_0101_6 + 51081/7330, c_0011_0 - 1, c_0011_2 + 2769/5864*c_0101_6^10 + 1183/1466*c_0101_6^9 - 1880/733*c_0101_6^8 - 3221/733*c_0101_6^7 - 10171/1466*c_0101_6^6 + 76175/5864*c_0101_6^5 + 68825/2932*c_0101_6^4 + 21475/5864*c_0101_6^3 - 80417/5864*c_0101_6^2 - 7309/5864*c_0101_6 - 2573/5864, c_0101_0 - 759/2932*c_0101_6^10 - 2749/5864*c_0101_6^9 + 7609/5864*c_0101_6^8 + 13819/5864*c_0101_6^7 + 24485/5864*c_0101_6^6 - 34739/5864*c_0101_6^5 - 35303/2932*c_0101_6^4 - 9827/2932*c_0101_6^3 + 22719/5864*c_0101_6^2 - 6081/2932*c_0101_6 + 155/5864, c_0101_1 - 1, c_0101_2 - 269/2932*c_0101_6^10 - 1969/5864*c_0101_6^9 + 603/5864*c_0101_6^8 + 9201/5864*c_0101_6^7 + 18681/5864*c_0101_6^6 + 6211/5864*c_0101_6^5 - 10497/1466*c_0101_6^4 - 6959/733*c_0101_6^3 - 17577/5864*c_0101_6^2 + 3929/2932*c_0101_6 - 1131/5864, c_0101_5 - 2431/5864*c_0101_6^10 - 4089/5864*c_0101_6^9 + 13593/5864*c_0101_6^8 + 22805/5864*c_0101_6^7 + 33629/5864*c_0101_6^6 - 35319/2932*c_0101_6^5 - 61821/2932*c_0101_6^4 - 11737/5864*c_0101_6^3 + 42787/2932*c_0101_6^2 + 9397/5864*c_0101_6 + 1699/2932, c_0101_6^11 + 2*c_0101_6^10 - 5*c_0101_6^9 - 11*c_0101_6^8 - 17*c_0101_6^7 + 24*c_0101_6^6 + 59*c_0101_6^5 + 21*c_0101_6^4 - 31*c_0101_6^3 - 14*c_0101_6^2 - 3*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB