Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 863153948] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s226 geometric_solution 4.37882988 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 0 -1 1 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 -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 0.745815114382 0.113748040454 0 2 0 2 0132 0132 1023 1023 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 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 0.633294968518 0.323884375066 3 1 4 1 0132 0132 0132 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 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 1.662944401233 1.564224251825 2 4 4 5 0132 3201 2310 0132 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 1 0 -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 -0.155658697160 0.801238037907 5 3 3 2 1023 3201 2310 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.155658697160 0.801238037907 5 4 3 5 3201 1023 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 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 0.233647385058 1.202677240541 ==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' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(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' : d['c_0101_3'], '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' : 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' : d['c_0101_3'], '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_0101_2']), 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], '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: 4 Groebner basis: [ t + 2, c_0011_0 - 1, c_0011_4 - 1, c_0101_0 + c_0101_3, c_0101_1 - 2*c_0101_3^3 + 3*c_0101_3, c_0101_2 - 2*c_0101_3^3 + 3*c_0101_3, c_0101_3^4 - 2*c_0101_3^2 + 1/2 ], 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: 16 Groebner basis: [ t - 178097/205004*c_0101_3^14 + 1062009/205004*c_0101_3^12 + 9664679/410008*c_0101_3^10 + 4617545/410008*c_0101_3^8 + 3611527/102502*c_0101_3^6 - 117505/7736*c_0101_3^4 - 707759/205004*c_0101_3^2 - 3807227/410008, c_0011_0 - 1, c_0011_4 + 14968/51251*c_0101_3^14 - 149784/51251*c_0101_3^12 + 140114/51251*c_0101_3^10 - 225298/51251*c_0101_3^8 + 294905/51251*c_0101_3^6 - 2133/967*c_0101_3^4 + 99/51251*c_0101_3^2 - 22805/51251, c_0101_0 - 124052/51251*c_0101_3^15 + 1202704/51251*c_0101_3^13 - 815904/51251*c_0101_3^11 + 1893278/51251*c_0101_3^9 - 1932635/51251*c_0101_3^7 + 6637/967*c_0101_3^5 - 393722/51251*c_0101_3^3 + 203590/51251*c_0101_3, c_0101_1 - 69350/51251*c_0101_3^15 + 647908/51251*c_0101_3^13 - 231131/51251*c_0101_3^11 + 998808/51251*c_0101_3^9 - 639470/51251*c_0101_3^7 - 878/967*c_0101_3^5 - 141892/51251*c_0101_3^3 - 42840/51251*c_0101_3, c_0101_2 - 45610/51251*c_0101_3^15 + 441132/51251*c_0101_3^13 - 283511/51251*c_0101_3^11 + 635256/51251*c_0101_3^9 - 709707/51251*c_0101_3^7 + 890/967*c_0101_3^5 - 92196/51251*c_0101_3^3 + 108285/51251*c_0101_3, c_0101_3^16 - 10*c_0101_3^14 + 19/2*c_0101_3^12 - 17*c_0101_3^10 + 41/2*c_0101_3^8 - 15/2*c_0101_3^6 + 9/2*c_0101_3^4 - 7/2*c_0101_3^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB