Magma V2.19-8 Tue Aug 20 2013 16:14:08 on localhost [Seed = 139039791] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s092 geometric_solution 3.91960216 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2.360059324909 0.175914337128 0 2 2 0 0132 0132 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.910372974488 0.532013164301 1 1 3 3 2310 0132 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 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 0.210645766313 0.316332608591 4 2 5 2 0132 2310 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.423681313017 0.918744021185 3 5 5 5 0132 0213 2310 1230 0 0 0 0 0 0 0 0 -1 0 0 1 -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 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 0.457760148552 0.847174934423 4 4 4 3 3012 3201 0213 0132 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 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 0.457760148552 0.847174934423 ==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_3']), 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 2528302/70283*c_0101_2^11 + 12246150/70283*c_0101_2^10 + 47157626/70283*c_0101_2^9 - 89755556/70283*c_0101_2^8 - 115952461/70283*c_0101_2^7 + 190870293/70283*c_0101_2^6 + 93299953/70283*c_0101_2^5 - 183519180/70283*c_0101_2^4 + 1995591/70283*c_0101_2^3 + 59313980/70283*c_0101_2^2 - 5240774/70283*c_0101_2 - 2873788/70283, c_0011_0 - 1, c_0011_3 - 114892/70283*c_0101_2^11 + 407552/70283*c_0101_2^10 + 2705481/70283*c_0101_2^9 - 738361/70283*c_0101_2^8 - 6846192/70283*c_0101_2^7 + 990980/70283*c_0101_2^6 + 6801297/70283*c_0101_2^5 - 1973010/70283*c_0101_2^4 - 3100926/70283*c_0101_2^3 + 805023/70283*c_0101_2^2 + 425111/70283*c_0101_2 - 61832/70283, c_0011_5 + 37624/70283*c_0101_2^11 - 119801/70283*c_0101_2^10 - 930060/70283*c_0101_2^9 - 92628/70283*c_0101_2^8 + 2209341/70283*c_0101_2^7 + 487691/70283*c_0101_2^6 - 1929187/70283*c_0101_2^5 - 228891/70283*c_0101_2^4 + 778954/70283*c_0101_2^3 + 203020/70283*c_0101_2^2 - 100130/70283*c_0101_2 - 25656/70283, c_0101_0 - 132115/70283*c_0101_2^11 + 545683/70283*c_0101_2^10 + 2785622/70283*c_0101_2^9 - 2447004/70283*c_0101_2^8 - 6287191/70283*c_0101_2^7 + 4779928/70283*c_0101_2^6 + 4822315/70283*c_0101_2^5 - 5089053/70283*c_0101_2^4 - 651860/70283*c_0101_2^3 + 1390984/70283*c_0101_2^2 - 181614/70283*c_0101_2 - 103349/70283, c_0101_1 - 94210/70283*c_0101_2^11 + 405371/70283*c_0101_2^10 + 1926737/70283*c_0101_2^9 - 2102344/70283*c_0101_2^8 - 4399716/70283*c_0101_2^7 + 3959360/70283*c_0101_2^6 + 3373243/70283*c_0101_2^5 - 3624446/70283*c_0101_2^4 - 303413/70283*c_0101_2^3 + 647178/70283*c_0101_2^2 - 40682/70283*c_0101_2 + 43395/70283, c_0101_2^12 - 5*c_0101_2^11 - 18*c_0101_2^10 + 39*c_0101_2^9 + 42*c_0101_2^8 - 88*c_0101_2^7 - 29*c_0101_2^6 + 90*c_0101_2^5 - 10*c_0101_2^4 - 34*c_0101_2^3 + 8*c_0101_2^2 + 4*c_0101_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB