Magma V2.19-8 Tue Aug 20 2013 16:17:42 on localhost [Seed = 1191631786] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1946 geometric_solution 5.53368297 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 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 -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 0.447268262724 0.283689460912 0 3 0 3 0132 0132 2310 2310 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 -1 0 1 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 -0.594376645587 1.011267484803 4 0 5 0 0132 2310 0132 0132 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 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 0.958355091690 0.727578023892 1 1 4 5 3201 0132 3012 1230 0 0 0 0 0 1 -1 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 1 -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 0.078411953397 1.369934919226 2 3 4 4 0132 1230 2031 1302 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 0 -1 1 0 0 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608049642695 0.964220819058 3 6 6 2 3012 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.761202632503 0.547525723142 5 5 6 6 2310 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.620994763588 0.501408931144 ==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_2_6' : negation(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_5']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0101_0'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], '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_2']), 'c_0011_6' : d['c_0011_2'], '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' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 112930802395/144519573538*c_0101_6^12 - 1915091800317/578078294152*c_0101_6^11 + 689727005003/578078294152*c_0101_6^10 + 1710198545769/289039147076*c_0101_6^9 + 14877867501667/578078294152*c_0101_6^8 + 5120380878001/578078294152*c_0101_6^7 - 13734989270447/289039147076*c_0101_6^6 - 658410623229/72259786769*c_0101_6^5 + 15676406176497/578078294152*c_0101_6^4 + 16419394645059/289039147076*c_0101_6^3 - 1912385168511/289039147076*c_0101_6^2 - 1537581648562/72259786769*c_0101_6 + 2556723004721/578078294152, c_0011_0 - 1, c_0011_2 - 43395833807/289039147076*c_0101_6^12 - 155294981135/289039147076*c_0101_6^11 + 42575612124/72259786769*c_0101_6^10 + 222991161297/289039147076*c_0101_6^9 + 1278397303231/289039147076*c_0101_6^8 - 98711615991/72259786769*c_0101_6^7 - 614525241711/72259786769*c_0101_6^6 + 1071582066275/289039147076*c_0101_6^5 + 562067810153/144519573538*c_0101_6^4 + 693830763773/72259786769*c_0101_6^3 - 1026068644107/144519573538*c_0101_6^2 - 184468145371/289039147076*c_0101_6 - 61059887817/144519573538, c_0101_0 - 56017096521/289039147076*c_0101_6^12 - 199727388495/289039147076*c_0101_6^11 + 52767495582/72259786769*c_0101_6^10 + 239083819971/289039147076*c_0101_6^9 + 1680391949931/289039147076*c_0101_6^8 - 101624935969/72259786769*c_0101_6^7 - 684643885432/72259786769*c_0101_6^6 + 1496422508313/289039147076*c_0101_6^5 + 123536666145/72259786769*c_0101_6^4 + 1482493843351/144519573538*c_0101_6^3 - 714212125543/72259786769*c_0101_6^2 + 409609509869/289039147076*c_0101_6 - 185771357805/144519573538, c_0101_1 - 1, c_0101_2 + 10201260664/72259786769*c_0101_6^12 + 41453119805/72259786769*c_0101_6^11 - 19487073811/72259786769*c_0101_6^10 - 60040814168/72259786769*c_0101_6^9 - 332707046790/72259786769*c_0101_6^8 - 84277871689/72259786769*c_0101_6^7 + 508695970664/72259786769*c_0101_6^6 - 4491042023/72259786769*c_0101_6^5 - 148559106254/72259786769*c_0101_6^4 - 571112322956/72259786769*c_0101_6^3 + 238167716853/72259786769*c_0101_6^2 + 108648610908/72259786769*c_0101_6 + 35992759880/72259786769, c_0101_5 - 30002782557/289039147076*c_0101_6^12 - 107437083627/289039147076*c_0101_6^11 + 31364091715/72259786769*c_0101_6^10 + 188589220355/289039147076*c_0101_6^9 + 878246757015/289039147076*c_0101_6^8 - 76812815564/72259786769*c_0101_6^7 - 486555306288/72259786769*c_0101_6^6 + 602475858661/289039147076*c_0101_6^5 + 262736203670/72259786769*c_0101_6^4 + 938284220469/144519573538*c_0101_6^3 - 395876613638/72259786769*c_0101_6^2 - 337597041727/289039147076*c_0101_6 - 42802000369/144519573538, c_0101_6^13 + 3*c_0101_6^12 - 6*c_0101_6^11 - 3*c_0101_6^10 - 27*c_0101_6^9 + 26*c_0101_6^8 + 52*c_0101_6^7 - 53*c_0101_6^6 - 8*c_0101_6^5 - 52*c_0101_6^4 + 82*c_0101_6^3 - 27*c_0101_6^2 + 8*c_0101_6 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB