Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 2101141852] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s336 geometric_solution 4.52921894 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 1.409473795009 0.403678136717 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904899322129 0.300568289880 3 1 3 4 2103 0132 1302 0132 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 -1 0 1 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 0.777556271963 0.622860976476 2 4 2 1 2031 0132 2103 0132 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777556271963 0.622860976476 5 3 2 5 0132 0132 0132 1023 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 -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 0.415783787812 0.227053282245 4 5 5 4 0132 3201 2310 1023 0 0 0 0 0 0 0 0 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 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 1.036165365611 0.943451062921 ==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' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_1']), 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], '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_3, c_0101_0, c_0101_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 2586571/1242831*c_1001_1^10 - 15120884/1242831*c_1001_1^9 - 13425217/1242831*c_1001_1^8 + 141170435/1242831*c_1001_1^7 + 26024579/1242831*c_1001_1^6 - 437566727/1242831*c_1001_1^5 + 10035614/414277*c_1001_1^4 + 570164248/1242831*c_1001_1^3 - 151148579/1242831*c_1001_1^2 - 257525467/1242831*c_1001_1 + 107977504/1242831, c_0011_0 - 1, c_0011_1 + 177184/414277*c_1001_1^10 - 918156/414277*c_1001_1^9 - 1425243/414277*c_1001_1^8 + 8153322/414277*c_1001_1^7 + 6667223/414277*c_1001_1^6 - 21378389/414277*c_1001_1^5 - 9932626/414277*c_1001_1^4 + 24773935/414277*c_1001_1^3 + 3905085/414277*c_1001_1^2 - 9916666/414277*c_1001_1 + 1149970/414277, c_0011_3 + 498240/414277*c_1001_1^10 - 2611476/414277*c_1001_1^9 - 3930558/414277*c_1001_1^8 + 23654624/414277*c_1001_1^7 + 17380024/414277*c_1001_1^6 - 64544217/414277*c_1001_1^5 - 23497694/414277*c_1001_1^4 + 78027835/414277*c_1001_1^3 + 4948725/414277*c_1001_1^2 - 32952380/414277*c_1001_1 + 5825014/414277, c_0101_0 + 1268779/1242831*c_1001_1^10 - 2182533/414277*c_1001_1^9 - 10597885/1242831*c_1001_1^8 + 19944203/414277*c_1001_1^7 + 48633389/1242831*c_1001_1^6 - 163095445/1242831*c_1001_1^5 - 69039605/1242831*c_1001_1^4 + 66184212/414277*c_1001_1^3 + 19875169/1242831*c_1001_1^2 - 86088092/1242831*c_1001_1 + 4664516/414277, c_0101_5 + 832694/1242831*c_1001_1^10 - 1417092/414277*c_1001_1^9 - 7054715/1242831*c_1001_1^8 + 12694181/414277*c_1001_1^7 + 33625420/1242831*c_1001_1^6 - 99476228/1242831*c_1001_1^5 - 49717813/1242831*c_1001_1^4 + 38471236/414277*c_1001_1^3 + 19743374/1242831*c_1001_1^2 - 45242620/1242831*c_1001_1 + 1737798/414277, c_1001_1^11 - 6*c_1001_1^10 - 4*c_1001_1^9 + 54*c_1001_1^8 - c_1001_1^7 - 160*c_1001_1^6 + 52*c_1001_1^5 + 201*c_1001_1^4 - 113*c_1001_1^3 - 80*c_1001_1^2 + 66*c_1001_1 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB