Magma V2.19-8 Tue Aug 20 2013 16:14:13 on localhost [Seed = 1242289765] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s179 geometric_solution 4.27673527 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504141967987 0.119501545506 2 0 2 0 0132 2310 1023 0132 0 0 0 0 0 0 1 -1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617812844453 0.325669292662 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 1 -1 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 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 1.658697103572 1.874588481418 5 2 4 4 0132 0132 3012 2310 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 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 0.185060961656 1.150140313088 3 3 2 5 3201 1230 0132 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185060961656 1.150140313088 3 4 5 5 0132 2310 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.393113983586 0.249119243461 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 9132909/139478*c_0101_3^15 + 109958633/139478*c_0101_3^13 - 150600921/139478*c_0101_3^11 - 284210723/69739*c_0101_3^9 + 927206651/139478*c_0101_3^7 + 815890677/139478*c_0101_3^5 - 633614860/69739*c_0101_3^3 - 151385647/139478*c_0101_3, c_0011_0 - 1, c_0011_1 - 5508/69739*c_0101_3^14 + 53421/69739*c_0101_3^12 + 45174/69739*c_0101_3^10 - 357686/69739*c_0101_3^8 - 206632/69739*c_0101_3^6 + 611710/69739*c_0101_3^4 + 291309/69739*c_0101_3^2 - 14806/69739, c_0011_4 + 20585/69739*c_0101_3^15 - 249751/69739*c_0101_3^13 + 364090/69739*c_0101_3^11 + 1226344/69739*c_0101_3^9 - 2133649/69739*c_0101_3^7 - 1663476/69739*c_0101_3^5 + 2798483/69739*c_0101_3^3 + 266957/69739*c_0101_3, c_0101_0 + 56592/69739*c_0101_3^15 - 680148/69739*c_0101_3^13 + 926537/69739*c_0101_3^11 + 3452157/69739*c_0101_3^9 - 5587903/69739*c_0101_3^7 - 4768539/69739*c_0101_3^5 + 7484202/69739*c_0101_3^3 + 588335/69739*c_0101_3, c_0101_1 - 4120/69739*c_0101_3^14 + 40111/69739*c_0101_3^12 + 27257/69739*c_0101_3^10 - 211840/69739*c_0101_3^8 - 197053/69739*c_0101_3^6 + 253611/69739*c_0101_3^4 + 422255/69739*c_0101_3^2 + 50814/69739, c_0101_3^16 - 12*c_0101_3^14 + 16*c_0101_3^12 + 63*c_0101_3^10 - 99*c_0101_3^8 - 94*c_0101_3^6 + 135*c_0101_3^4 + 23*c_0101_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB