Magma V2.19-8 Tue Aug 20 2013 16:14:28 on localhost [Seed = 155751692] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s456 geometric_solution 4.78075484 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 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 0.341617693273 0.574175911524 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.234694174477 1.286292187486 1 3 0 4 1230 2310 0132 2310 0 0 0 0 0 0 0 0 -1 0 0 1 -1 1 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 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 1.234694174477 1.286292187486 1 3 3 2 0132 1230 3012 3201 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.831642421951 0.665188112452 2 5 5 1 3201 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.139996499332 0.315591437695 5 4 4 5 3012 0132 1023 1230 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 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 2.113304381902 1.189093657032 ==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_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_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' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_1'], '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_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_1']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 275377/140212*c_0101_5^11 + 822269/140212*c_0101_5^10 - 1349155/140212*c_0101_5^9 + 2323147/140212*c_0101_5^8 + 5474189/70106*c_0101_5^7 + 1049620/35053*c_0101_5^6 + 2431431/140212*c_0101_5^5 - 7350196/35053*c_0101_5^4 - 13691981/140212*c_0101_5^3 - 23762633/140212*c_0101_5^2 - 1661317/70106*c_0101_5 + 13164255/140212, c_0011_0 - 1, c_0011_1 - 579241/560848*c_0101_5^11 - 352341/560848*c_0101_5^10 - 3647983/560848*c_0101_5^9 - 8019789/560848*c_0101_5^8 - 1425115/280424*c_0101_5^7 + 1108727/140212*c_0101_5^6 + 22965127/560848*c_0101_5^5 + 9053581/280424*c_0101_5^4 + 18148705/560848*c_0101_5^3 + 3389257/560848*c_0101_5^2 - 3986209/280424*c_0101_5 - 1667237/560848, c_0011_4 + 244519/560848*c_0101_5^11 + 163735/560848*c_0101_5^10 + 1574389/560848*c_0101_5^9 + 3482731/560848*c_0101_5^8 + 786481/280424*c_0101_5^7 - 382639/140212*c_0101_5^6 - 9793681/560848*c_0101_5^5 - 4189681/280424*c_0101_5^4 - 9000759/560848*c_0101_5^3 - 2198895/560848*c_0101_5^2 + 1531713/280424*c_0101_5 + 966579/560848, c_0101_1 - 791633/560848*c_0101_5^11 - 451337/560848*c_0101_5^10 - 4970175/560848*c_0101_5^9 - 10722217/560848*c_0101_5^8 - 1765271/280424*c_0101_5^7 + 1603015/140212*c_0101_5^6 + 31509087/560848*c_0101_5^5 + 11355759/280424*c_0101_5^4 + 23353877/560848*c_0101_5^3 + 3334241/560848*c_0101_5^2 - 5279315/280424*c_0101_5 - 1702121/560848, c_0101_2 - 25755/140212*c_0101_5^11 - 3637/35053*c_0101_5^10 - 80089/70106*c_0101_5^9 - 353305/140212*c_0101_5^8 - 26668/35053*c_0101_5^7 + 95539/70106*c_0101_5^6 + 948795/140212*c_0101_5^5 + 715855/140212*c_0101_5^4 + 734079/140212*c_0101_5^3 + 323003/140212*c_0101_5^2 - 226055/140212*c_0101_5 + 8707/140212, c_0101_5^12 + 6*c_0101_5^10 + 10*c_0101_5^9 - 3*c_0101_5^8 - 10*c_0101_5^7 - 35*c_0101_5^6 - 7*c_0101_5^5 - 15*c_0101_5^4 + 12*c_0101_5^3 + 15*c_0101_5^2 - 5*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB