Magma V2.19-8 Tue Aug 20 2013 16:19:07 on localhost [Seed = 1494795299] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3251 geometric_solution 6.38144697 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 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 -1 1 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 -0.415120046938 0.610822177899 0 4 2 5 0132 0321 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524618821368 1.020841650044 3 0 6 1 2103 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.383783654891 1.032508393783 6 4 2 0 2310 2031 2103 0132 0 0 0 0 0 0 -1 1 0 0 0 0 -1 0 0 1 1 0 -1 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383783654891 1.032508393783 3 5 0 1 1302 1023 0132 0321 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524618821368 1.020841650044 4 5 1 5 1023 2310 0132 3201 0 0 0 0 0 0 -1 1 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 0.540582507484 0.483371170989 6 6 3 2 1230 3012 3201 0132 0 0 0 0 0 1 -1 0 -1 0 1 0 -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 -1 0 1 1 0 -1 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263379130566 0.425915774955 ==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' : 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_0011_3']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0110_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0110_2']), 'c_1100_3' : negation(d['c_0110_2']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], '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_0110_5'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : d['c_0101_0']})} 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_4, c_0011_6, c_0101_0, c_0110_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 11650604689/125665086580*c_0110_5^12 + 252881393/5712049390*c_0110_5^11 - 2439082183/62832543290*c_0110_5^10 - 109292071077/125665086580*c_0110_5^9 - 204680469629/125665086580*c_0110_5^8 - 33313240969/62832543290*c_0110_5^7 + 79802576143/125665086580*c_0110_5^6 + 225964014307/62832543290*c_0110_5^5 + 334911048077/31416271645*c_0110_5^4 + 1363030236629/125665086580*c_0110_5^3 + 58705139024/6283254329*c_0110_5^2 + 426831846127/62832543290*c_0110_5 + 71562080281/31416271645, c_0011_0 - 1, c_0011_3 + 586864187/1142409878*c_0110_5^12 + 143259235/571204939*c_0110_5^11 - 396410251/571204939*c_0110_5^10 - 3043832693/571204939*c_0110_5^9 - 9764655121/1142409878*c_0110_5^8 + 1633087043/571204939*c_0110_5^7 + 7923844830/571204939*c_0110_5^6 + 24332565579/1142409878*c_0110_5^5 + 22234712534/571204939*c_0110_5^4 + 17941634030/571204939*c_0110_5^3 + 8095276822/571204939*c_0110_5^2 + 36848724/571204939*c_0110_5 + 2014249663/1142409878, c_0011_4 - 78613169/571204939*c_0110_5^12 - 34706737/571204939*c_0110_5^11 + 95500403/571204939*c_0110_5^10 + 834485418/571204939*c_0110_5^9 + 1281224995/571204939*c_0110_5^8 - 404959944/571204939*c_0110_5^7 - 2169240644/571204939*c_0110_5^6 - 3496395378/571204939*c_0110_5^5 - 5702253623/571204939*c_0110_5^4 - 4664384676/571204939*c_0110_5^3 - 2336146631/571204939*c_0110_5^2 + 423065351/571204939*c_0110_5 - 191668303/571204939, c_0011_6 + 93459775/1142409878*c_0110_5^12 + 26455067/571204939*c_0110_5^11 - 28124584/571204939*c_0110_5^10 - 477897054/571204939*c_0110_5^9 - 1718487771/1142409878*c_0110_5^8 - 145746358/571204939*c_0110_5^7 + 782595670/571204939*c_0110_5^6 + 4554395443/1142409878*c_0110_5^5 + 4573065764/571204939*c_0110_5^4 + 4463324069/571204939*c_0110_5^3 + 3822294454/571204939*c_0110_5^2 + 1983573183/571204939*c_0110_5 + 1787288855/1142409878, c_0101_0 + 457572055/1142409878*c_0110_5^12 + 275369789/1142409878*c_0110_5^11 - 558841477/1142409878*c_0110_5^10 - 4815327829/1142409878*c_0110_5^9 - 4088040412/571204939*c_0110_5^8 + 697213732/571204939*c_0110_5^7 + 6141722997/571204939*c_0110_5^6 + 20622920201/1142409878*c_0110_5^5 + 37141978821/1142409878*c_0110_5^4 + 32458116237/1142409878*c_0110_5^3 + 16922743741/1142409878*c_0110_5^2 + 1834533131/1142409878*c_0110_5 + 778532490/571204939, c_0110_2 + 1, c_0110_5^13 + c_0110_5^12 - c_0110_5^11 - 11*c_0110_5^10 - 22*c_0110_5^9 - 4*c_0110_5^8 + 28*c_0110_5^7 + 55*c_0110_5^6 + 99*c_0110_5^5 + 105*c_0110_5^4 + 67*c_0110_5^3 + 21*c_0110_5^2 + 8*c_0110_5 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB