Magma V2.19-8 Tue Aug 20 2013 16:18:15 on localhost [Seed = 610646303] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2465 geometric_solution 5.80455060 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 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 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 0.809499654815 0.603764669923 0 4 0 2 0132 0132 1230 3012 0 0 0 0 0 1 0 -1 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 -1 0 1 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 0.475273986993 1.506315600639 5 0 1 5 0132 0132 1230 1023 0 0 0 0 0 1 0 -1 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 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 0.486275187777 0.670196216491 5 4 6 0 2103 3201 0132 0132 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 1 -1 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 0.125824494434 0.860192345371 5 1 3 6 1023 0132 2310 1302 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 0 0 0 0 0 0 0 0 0 0 0 0.833513219572 1.138177862535 2 4 3 2 0132 1023 2103 1023 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 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 -0.428471425521 0.323182437789 6 6 4 3 1230 3012 2031 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 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.710607043813 1.085547065143 ==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' : negation(d['1']), 's_3_5' : negation(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_2_6' : 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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_1001_1']), 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_6'], '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_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1697606775229/13382855888*c_1001_1^11 + 17043976497613/13382855888*c_1001_1^10 - 82166489573123/13382855888*c_1001_1^9 + 240947700989041/13382855888*c_1001_1^8 - 447601756014985/13382855888*c_1001_1^7 + 69498907926879/1672856986*c_1001_1^6 - 468612785744267/13382855888*c_1001_1^5 + 307223522065623/13382855888*c_1001_1^4 - 39976812689783/3345713972*c_1001_1^3 + 35210422688041/13382855888*c_1001_1^2 + 59719241969213/13382855888*c_1001_1 - 43147566202467/13382855888, c_0011_0 - 1, c_0011_3 + 99043881/1672856986*c_1001_1^11 - 969478337/1672856986*c_1001_1^10 + 4477045963/1672856986*c_1001_1^9 - 12261091759/1672856986*c_1001_1^8 + 20150803131/1672856986*c_1001_1^7 - 10031141642/836428493*c_1001_1^6 + 11278718371/1672856986*c_1001_1^5 - 3992348049/1672856986*c_1001_1^4 - 431971866/836428493*c_1001_1^3 + 5181910771/1672856986*c_1001_1^2 - 6300239337/1672856986*c_1001_1 + 756300805/1672856986, c_0011_6 + 1794243/836428493*c_1001_1^11 + 21432645/836428493*c_1001_1^10 - 276387289/836428493*c_1001_1^9 + 1360822229/836428493*c_1001_1^8 - 3873845007/836428493*c_1001_1^7 + 6665220059/836428493*c_1001_1^6 - 7844788523/836428493*c_1001_1^5 + 6505360059/836428493*c_1001_1^4 - 5149767536/836428493*c_1001_1^3 + 2911919640/836428493*c_1001_1^2 - 727612083/836428493*c_1001_1 - 556534686/836428493, c_0101_0 + 1, c_0101_1 - 24204569/836428493*c_1001_1^11 + 186114672/836428493*c_1001_1^10 - 704901009/836428493*c_1001_1^9 + 1609618350/836428493*c_1001_1^8 - 2203093561/836428493*c_1001_1^7 + 2526986000/836428493*c_1001_1^6 - 1697834008/836428493*c_1001_1^5 + 1021699695/836428493*c_1001_1^4 + 140027684/836428493*c_1001_1^3 + 1460541558/836428493*c_1001_1^2 - 314094372/836428493*c_1001_1 - 31057135/836428493, c_0101_2 + 6758520/836428493*c_1001_1^11 - 130057119/836428493*c_1001_1^10 + 924668587/836428493*c_1001_1^9 - 3658001791/836428493*c_1001_1^8 + 9030117234/836428493*c_1001_1^7 - 13979254121/836428493*c_1001_1^6 + 14053076934/836428493*c_1001_1^5 - 9918941794/836428493*c_1001_1^4 + 5822592360/836428493*c_1001_1^3 - 2539779472/836428493*c_1001_1^2 - 871094215/836428493*c_1001_1 + 811556017/836428493, c_1001_1^12 - 10*c_1001_1^11 + 48*c_1001_1^10 - 140*c_1001_1^9 + 258*c_1001_1^8 - 317*c_1001_1^7 + 263*c_1001_1^6 - 170*c_1001_1^5 + 87*c_1001_1^4 - 17*c_1001_1^3 - 36*c_1001_1^2 + 24*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB