Magma V2.19-8 Tue Aug 20 2013 16:18:48 on localhost [Seed = 627357786] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2955 geometric_solution 6.14366459 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 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 1 0 -1 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 0.348337847079 0.614243021719 3 4 5 0 0132 0132 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.697828617125 1.021951620501 3 5 0 5 3012 3012 0132 1302 0 0 0 0 0 -1 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 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 -0.048556936428 1.167653614771 1 6 6 2 0132 0132 3201 1230 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 -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 0.386845746239 0.291829493521 5 1 6 6 1230 0132 3120 0213 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 0 0 1.078656747259 1.665777867130 2 4 2 1 1230 3012 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757110500287 0.564498649722 3 3 4 4 2310 0132 3120 0213 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.078656747259 1.665777867130 ==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' : negation(d['c_0101_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0101_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_1'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : negation(d['c_0011_1']), 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0011_2, c_0101_2, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 646232/38835*c_0101_6^12 - 2099141/77670*c_0101_6^11 - 1559513/77670*c_0101_6^10 - 4509424/38835*c_0101_6^9 - 1011884/2589*c_0101_6^8 - 2701901/7767*c_0101_6^7 - 2577344/38835*c_0101_6^6 + 328201/15534*c_0101_6^5 + 164684/7767*c_0101_6^4 + 2894881/38835*c_0101_6^3 + 2189107/77670*c_0101_6^2 + 1094588/38835*c_0101_6 + 740054/38835, c_0011_0 - 1, c_0011_1 + 4015/3452*c_0101_6^12 + 1568/863*c_0101_6^11 + 1298/863*c_0101_6^10 + 7108/863*c_0101_6^9 + 92653/3452*c_0101_6^8 + 20734/863*c_0101_6^7 + 24905/3452*c_0101_6^6 - 2627/3452*c_0101_6^5 - 11169/3452*c_0101_6^4 - 9303/1726*c_0101_6^3 - 10293/3452*c_0101_6^2 - 13255/3452*c_0101_6 - 4543/3452, c_0011_2 + 4123/1726*c_0101_6^12 + 3664/863*c_0101_6^11 + 6119/1726*c_0101_6^10 + 14725/863*c_0101_6^9 + 50430/863*c_0101_6^8 + 50669/863*c_0101_6^7 + 30265/1726*c_0101_6^6 - 7239/1726*c_0101_6^5 - 6888/863*c_0101_6^4 - 23403/1726*c_0101_6^3 - 11731/1726*c_0101_6^2 - 4069/863*c_0101_6 - 2731/863, c_0101_2 - 2257/3452*c_0101_6^12 - 1298/863*c_0101_6^11 - 2171/1726*c_0101_6^10 - 4092/863*c_0101_6^9 - 62861/3452*c_0101_6^8 - 19275/863*c_0101_6^7 - 21463/3452*c_0101_6^6 + 11169/3452*c_0101_6^5 + 6561/3452*c_0101_6^4 + 3577/863*c_0101_6^3 + 16707/3452*c_0101_6^2 + 4543/3452*c_0101_6 + 4015/3452, c_0101_4 + c_0101_6, c_0101_5 + 7817/3452*c_0101_6^12 + 3766/863*c_0101_6^11 + 2948/863*c_0101_6^10 + 13774/863*c_0101_6^9 + 197575/3452*c_0101_6^8 + 52064/863*c_0101_6^7 + 46047/3452*c_0101_6^6 - 35089/3452*c_0101_6^5 - 32227/3452*c_0101_6^4 - 19593/1726*c_0101_6^3 - 20291/3452*c_0101_6^2 - 13181/3452*c_0101_6 - 11181/3452, c_0101_6^13 + c_0101_6^12 + 6*c_0101_6^10 + 19*c_0101_6^9 + 5*c_0101_6^8 - 13*c_0101_6^7 - 6*c_0101_6^6 - 3*c_0101_6^4 + c_0101_6^3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB