Magma V2.19-8 Tue Aug 20 2013 16:14:23 on localhost [Seed = 3953817545] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s378 geometric_solution 4.59786363 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 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 0.385100009183 0.192915338499 2 0 3 0 0132 2310 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 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 0.539094445069 0.846956694651 1 4 3 3 0132 0132 3012 1230 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.298391052126 1.460129558238 2 2 4 1 3012 1230 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.298391052126 1.460129558238 3 2 5 5 2310 0132 2310 0132 0 0 0 0 0 0 0 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 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 -0.316443184045 0.513677207578 5 4 4 5 3012 3201 0132 1230 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.178888650122 1.039344920129 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], '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_0011_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_0011_5, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 64991359391/31124343676*c_0101_3^14 - 313935974225/31124343676*c_0101_3^12 + 19425600530/7781085919*c_0101_3^10 - 970271504969/15562171838*c_0101_3^8 + 4466770261079/7781085919*c_0101_3^6 - 31710485672371/15562171838*c_0101_3^4 + 43105140057459/31124343676*c_0101_3^2 - 1929916109887/15562171838, c_0011_0 - 1, c_0011_1 + 767340867/15562171838*c_0101_3^14 - 3763025331/15562171838*c_0101_3^12 + 563461521/7781085919*c_0101_3^10 - 11404630858/7781085919*c_0101_3^8 + 106556366734/7781085919*c_0101_3^6 - 381151029112/7781085919*c_0101_3^4 + 548704909263/15562171838*c_0101_3^2 - 30039338505/7781085919, c_0011_3 + 446982327/15562171838*c_0101_3^14 - 2143362589/15562171838*c_0101_3^12 + 242965975/7781085919*c_0101_3^10 - 6676210903/7781085919*c_0101_3^8 + 61208853636/7781085919*c_0101_3^6 - 217085219311/7781085919*c_0101_3^4 + 284967506501/15562171838*c_0101_3^2 - 13871202303/7781085919, c_0011_5 - 166787021/15562171838*c_0101_3^14 + 773823661/15562171838*c_0101_3^12 - 42488312/7781085919*c_0101_3^10 + 2563053657/7781085919*c_0101_3^8 - 22241312010/7781085919*c_0101_3^6 + 76473237829/7781085919*c_0101_3^4 - 92565304573/15562171838*c_0101_3^2 + 4184086149/7781085919, c_0101_0 - 2712608959/31124343676*c_0101_3^15 + 13516089331/31124343676*c_0101_3^13 - 2537710949/15562171838*c_0101_3^11 + 40416488249/15562171838*c_0101_3^9 - 189675901871/7781085919*c_0101_3^7 + 1377627316347/15562171838*c_0101_3^5 - 2161930739907/31124343676*c_0101_3^3 + 81120488416/7781085919*c_0101_3, c_0101_3^16 - 5*c_0101_3^14 + 2*c_0101_3^12 - 30*c_0101_3^10 + 280*c_0101_3^8 - 1022*c_0101_3^6 + 825*c_0101_3^4 - 160*c_0101_3^2 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB