Magma V2.19-8 Tue Aug 20 2013 16:16:17 on localhost [Seed = 3953817353] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0562 geometric_solution 4.57885370 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 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 2.401723498354 0.184261387353 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 -0.821333188184 0.455778661225 1 1 3 3 2310 0132 0132 3201 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 1 1 -2 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 0.278771608756 0.379041712253 4 2 5 2 0132 2310 0132 0132 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 1 -1 0 0 0 0 1 0 0 -1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.395664784279 0.584552962003 3 5 5 6 0132 0213 2310 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 -1 0 1 0 0 -1 1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298054537551 0.752590707775 6 4 4 3 1023 3201 0213 0132 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 0 1 -1 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 0.298054537551 0.752590707775 6 5 4 6 3201 1023 0132 2310 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 0 -1 1 0 0 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.454885864066 1.148591386018 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : 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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], '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_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_3'], '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_6' : d['c_0011_5'], '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_6' : negation(d['c_0011_3']), '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_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0101_3'], '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 8 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, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 253445975036424/2833023463991*c_0101_2*c_0101_3^10 - 9574768152828791/5666046927982*c_0101_2*c_0101_3^9 + 30643639608229576/2833023463991*c_0101_2*c_0101_3^8 - 150864956541534017/5666046927982*c_0101_2*c_0101_3^7 + 2450504809188733/246349866434*c_0101_2*c_0101_3^6 + 106169344551783883/2833023463991*c_0101_2*c_0101_3^5 - 62617906980117533/5666046927982*c_0101_2*c_0101_3^4 - 18685430217121712/2833023463991*c_0101_2*c_0101_3^3 - 18651549992110600/2833023463991*c_0101_2*c_0101_3^2 - 2361270918982103/5666046927982*c_0101_2*c_0101_3 + 4390338903715353/5666046927982*c_0101_2, c_0011_0 - 1, c_0011_3 + 123984779/5355431879*c_0101_3^10 - 2461225338/5355431879*c_0101_3^9 + 17241996231/5355431879*c_0101_3^8 - 51382060845/5355431879*c_0101_3^7 + 50574502086/5355431879*c_0101_3^6 + 31688567665/5355431879*c_0101_3^5 - 54511173067/5355431879*c_0101_3^4 + 11789649128/5355431879*c_0101_3^3 - 10736995932/5355431879*c_0101_3^2 + 10836342215/5355431879*c_0101_3 + 1343057503/5355431879, c_0011_5 + 155722108/5355431879*c_0101_2*c_0101_3^10 - 3033235700/5355431879*c_0101_2*c_0101_3^9 + 20534507635/5355431879*c_0101_2*c_0101_3^8 - 56923534327/5355431879*c_0101_2*c_0101_3^7 + 41186448157/5355431879*c_0101_2*c_0101_3^6 + 64409978308/5355431879*c_0101_2*c_0101_3^5 - 66031706795/5355431879*c_0101_2*c_0101_3^4 - 1483769069/5355431879*c_0101_2*c_0101_3^3 - 3543266738/5355431879*c_0101_2*c_0101_3^2 - 2437634625/5355431879*c_0101_2*c_0101_3 + 4340729923/5355431879*c_0101_2, c_0101_0 + 365405184/765061697*c_0101_2*c_0101_3^10 - 48156077497/5355431879*c_0101_2*c_0101_3^9 + 306301265959/5355431879*c_0101_2*c_0101_3^8 - 742954850102/5355431879*c_0101_2*c_0101_3^7 + 34766642926/765061697*c_0101_2*c_0101_3^6 + 1071098978613/5355431879*c_0101_2*c_0101_3^5 - 33445630810/765061697*c_0101_2*c_0101_3^4 - 191909395078/5355431879*c_0101_2*c_0101_3^3 - 31605429464/765061697*c_0101_2*c_0101_3^2 - 24276372515/5355431879*c_0101_2*c_0101_3 + 23996596089/5355431879*c_0101_2, c_0101_1 - 1112562977/5355431879*c_0101_3^10 + 20904610143/5355431879*c_0101_3^9 - 132418280579/5355431879*c_0101_3^8 + 317697558951/5355431879*c_0101_3^7 - 91424815053/5355431879*c_0101_3^6 - 472930372746/5355431879*c_0101_3^5 + 81972618256/5355431879*c_0101_3^4 + 88084717016/5355431879*c_0101_3^3 + 99765630859/5355431879*c_0101_3^2 + 19087717161/5355431879*c_0101_3 - 7926416698/5355431879, c_0101_2^2 + 520205547/5355431879*c_0101_3^10 - 9789335824/5355431879*c_0101_3^9 + 62436204042/5355431879*c_0101_3^8 - 154200380608/5355431879*c_0101_3^7 + 65490831495/5355431879*c_0101_3^6 + 196849095501/5355431879*c_0101_3^5 - 67628925200/5355431879*c_0101_3^4 - 24271628930/5355431879*c_0101_3^3 - 44800813882/5355431879*c_0101_3^2 - 105941948/765061697*c_0101_3 + 99296238/5355431879, c_0101_3^11 - 19*c_0101_3^10 + 123*c_0101_3^9 - 311*c_0101_3^8 + 144*c_0101_3^7 + 407*c_0101_3^6 - 170*c_0101_3^5 - 61*c_0101_3^4 - 65*c_0101_3^3 + 4*c_0101_3^2 + 9*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB