Magma V2.19-8 Tue Aug 20 2013 16:14:25 on localhost [Seed = 509575708] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s416 geometric_solution 4.68390007 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 1 0132 1230 3012 3201 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 0 -1 0 1 -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 -0.245103765551 0.151542506534 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 0 0 0 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 -1 1 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 2.160177677291 1.728587568712 3 1 1 4 0132 3201 0132 0132 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 -1 0 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 0.502241014425 0.522529738498 2 4 4 5 0132 0321 1302 0132 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 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 0.655579380897 0.754634999124 3 5 2 3 2031 2310 0132 0321 0 0 0 0 0 0 -1 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 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 0.655579380897 0.754634999124 5 5 3 4 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501199000277 0.476512878379 ==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_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_2'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_1']), '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_4']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t - 17321/1009*c_0101_1^20 - 222510/1009*c_0101_1^19 - 1080263/1009*c_0101_1^18 - 2010268/1009*c_0101_1^17 + 1536472/1009*c_0101_1^16 + 12240752/1009*c_0101_1^15 + 13155959/1009*c_0101_1^14 - 17113556/1009*c_0101_1^13 - 44681539/1009*c_0101_1^12 - 8038466/1009*c_0101_1^11 + 53766410/1009*c_0101_1^10 + 41118522/1009*c_0101_1^9 - 22795500/1009*c_0101_1^8 - 39096233/1009*c_0101_1^7 - 6837276/1009*c_0101_1^6 + 14668111/1009*c_0101_1^5 + 9553284/1009*c_0101_1^4 - 1384666/1009*c_0101_1^3 - 2647620/1009*c_0101_1^2 - 259832/1009*c_0101_1 + 57901/1009, c_0011_0 - 1, c_0011_2 - c_0101_1^2 - c_0101_1 + 1, c_0011_4 + c_0101_1^3 + 2*c_0101_1^2 - c_0101_1 - 1, c_0011_5 - 5246/1009*c_0101_1^20 - 72165/1009*c_0101_1^19 - 394934/1009*c_0101_1^18 - 999533/1009*c_0101_1^17 - 634780/1009*c_0101_1^16 + 2561978/1009*c_0101_1^15 + 5676165/1009*c_0101_1^14 + 861527/1009*c_0101_1^13 - 9306574/1009*c_0101_1^12 - 8333606/1009*c_0101_1^11 + 5201170/1009*c_0101_1^10 + 10321091/1009*c_0101_1^9 + 1211387/1009*c_0101_1^8 - 5428850/1009*c_0101_1^7 - 2949296/1009*c_0101_1^6 + 997621/1009*c_0101_1^5 + 1506379/1009*c_0101_1^4 + 98970/1009*c_0101_1^3 - 310993/1009*c_0101_1^2 - 26909/1009*c_0101_1 + 8320/1009, c_0101_0 - 5652/1009*c_0101_1^20 - 77650/1009*c_0101_1^19 - 424968/1009*c_0101_1^18 - 1079393/1009*c_0101_1^17 - 710098/1009*c_0101_1^16 + 2689740/1009*c_0101_1^15 + 6084199/1009*c_0101_1^14 + 1109209/1009*c_0101_1^13 - 9754887/1009*c_0101_1^12 - 9086504/1009*c_0101_1^11 + 5152404/1009*c_0101_1^10 + 11021247/1009*c_0101_1^9 + 1661658/1009*c_0101_1^8 - 5661648/1009*c_0101_1^7 - 3314587/1009*c_0101_1^6 + 937921/1009*c_0101_1^5 + 1624606/1009*c_0101_1^4 + 168327/1009*c_0101_1^3 - 321429/1009*c_0101_1^2 - 43046/1009*c_0101_1 + 7576/1009, c_0101_1^21 + 13*c_0101_1^20 + 65*c_0101_1^19 + 135*c_0101_1^18 - 17*c_0101_1^17 - 570*c_0101_1^16 - 720*c_0101_1^15 + 609*c_0101_1^14 + 1866*c_0101_1^13 + 309*c_0101_1^12 - 2101*c_0101_1^11 - 1245*c_0101_1^10 + 1157*c_0101_1^9 + 1194*c_0101_1^8 - 167*c_0101_1^7 - 590*c_0101_1^6 - 155*c_0101_1^5 + 183*c_0101_1^4 + 74*c_0101_1^3 - 35*c_0101_1^2 - 6*c_0101_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB