Magma V2.19-8 Tue Aug 20 2013 16:18:25 on localhost [Seed = 4071845829] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2619 geometric_solution 5.90143199 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 0132 0 0 0 0 0 -1 0 1 -1 0 1 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 -1 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 0.265339075458 0.589311463975 0 3 5 4 0132 0132 0132 0132 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.455575854637 1.593063674580 5 4 0 6 0132 2310 0132 0132 0 0 0 0 0 1 -1 0 0 0 0 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 -1 1 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 1.455575854637 1.593063674580 4 1 6 6 0132 0132 2310 3120 0 0 0 0 0 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 0 0 0 0 0 0 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 0 0 0 0 0 0.784592480112 0.838349509847 3 6 1 2 0132 2310 0132 3201 0 0 0 0 0 -1 0 1 0 0 1 -1 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 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 0.300816243433 0.248158618713 2 5 5 1 0132 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127415737666 0.525426460284 3 3 2 4 3120 3201 0132 3201 0 0 0 0 0 0 0 0 1 0 0 -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 0 0 0 -1 0 0 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 0.784592480112 0.838349509847 ==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' : 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_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_0011_0'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], '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_0']), '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_1001_3']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : 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_3, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 333366/3731*c_1001_3^10 + 5409/287*c_1001_3^9 + 515594/3731*c_1001_3^8 - 43168/533*c_1001_3^7 - 394656/3731*c_1001_3^6 + 350559/3731*c_1001_3^5 + 178280/3731*c_1001_3^4 - 35746/533*c_1001_3^3 - 5086/533*c_1001_3^2 + 107011/3731*c_1001_3 - 26700/3731, c_0011_0 - 1, c_0011_2 + 3696/41*c_1001_3^10 - 4606/41*c_1001_3^9 - 4848/41*c_1001_3^8 + 8939/41*c_1001_3^7 + 1201/41*c_1001_3^6 - 7484/41*c_1001_3^5 + 1105/41*c_1001_3^4 + 3970/41*c_1001_3^3 - 1050/41*c_1001_3^2 - 1647/41*c_1001_3 + 801/41, c_0011_6 - 4136/41*c_1001_3^10 + 1847/41*c_1001_3^9 + 5554/41*c_1001_3^8 - 5008/41*c_1001_3^7 - 3147/41*c_1001_3^6 + 4560/41*c_1001_3^5 + 832/41*c_1001_3^4 - 2500/41*c_1001_3^3 - 96/41*c_1001_3^2 + 1026/41*c_1001_3 - 378/41, c_0101_0 + 22/41*c_1001_3^10 - 65/41*c_1001_3^9 + 305/41*c_1001_3^8 + 400/41*c_1001_3^7 - 407/41*c_1001_3^6 - 231/41*c_1001_3^5 + 430/41*c_1001_3^4 + 70/41*c_1001_3^3 - 242/41*c_1001_3^2 - 12/41*c_1001_3 + 108/41, c_0101_1 + 7513/41*c_1001_3^10 - 4834/41*c_1001_3^9 - 11073/41*c_1001_3^8 + 10853/41*c_1001_3^7 + 6252/41*c_1001_3^6 - 9822/41*c_1001_3^5 - 1657/41*c_1001_3^4 + 5373/41*c_1001_3^3 + 218/41*c_1001_3^2 - 2253/41*c_1001_3 + 638/41, c_0101_3 + c_1001_3, c_1001_3^11 - 16/11*c_1001_3^10 - 9/11*c_1001_3^9 + 29/11*c_1001_3^8 - 6/11*c_1001_3^7 - 21/11*c_1001_3^6 + c_1001_3^5 + 9/11*c_1001_3^4 - 7/11*c_1001_3^3 - 3/11*c_1001_3^2 + 4/11*c_1001_3 - 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB