Magma V2.19-8 Tue Aug 20 2013 16:17:17 on localhost [Seed = 509575880] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1524 geometric_solution 5.32271871 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0.562919874629 1.388738096869 0 3 2 4 0132 0132 0132 0132 0 0 0 0 0 -1 1 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 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 0.038514482696 0.882917449700 3 0 4 1 0132 0132 3201 0132 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 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 0.038514482696 0.882917449700 2 1 5 5 0132 0132 0132 2310 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.388710462170 0.760899284918 2 4 1 4 2310 2310 0132 3201 0 0 0 0 0 1 0 -1 0 0 1 -1 0 1 0 -1 -1 1 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.049312639634 1.130457609070 3 6 6 3 3201 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.303275613715 0.627872829359 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.359861582907 0.474822935293 ==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' : 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_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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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' : d['c_0011_4'], 'c_0011_6' : negation(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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 1183415514230815245/37638767483305472*c_0101_6^13 - 2432086811896160655/855426533711488*c_0101_6^11 + 299799305322361167335/37638767483305472*c_0101_6^9 - 57522682241292269831/18819383741652736*c_0101_6^7 + 8889177653391597693/3421706134845952*c_0101_6^5 - 14050841149424520169/37638767483305472*c_0101_6^3 + 1184621358973938337/37638767483305472*c_0101_6, c_0011_0 - 1, c_0011_4 - 22114451168055/6683019794621*c_0101_6^13 + 1996156305424386/6683019794621*c_0101_6^11 - 5279939363009589/6683019794621*c_0101_6^9 + 1286778278591008/6683019794621*c_0101_6^7 - 1578852570795118/6683019794621*c_0101_6^5 - 44521390933443/6683019794621*c_0101_6^3 + 7461555409061/6683019794621*c_0101_6, c_0011_5 - 12162230109/26625576871*c_0101_6^12 + 1097761837473/26625576871*c_0101_6^10 - 2898615470132/26625576871*c_0101_6^8 + 709200932683/26625576871*c_0101_6^6 - 899481914660/26625576871*c_0101_6^4 - 46933099774/26625576871*c_0101_6^2 - 12733531978/26625576871, c_0101_0 + 6222336957180/6683019794621*c_0101_6^12 - 561641564758968/6683019794621*c_0101_6^10 + 1484062400855426/6683019794621*c_0101_6^8 - 15280562095750/290566078027*c_0101_6^6 + 426403182335378/6683019794621*c_0101_6^4 + 12313714354385/6683019794621*c_0101_6^2 - 5414733477514/6683019794621, c_0101_1 - 34504467723/53251153742*c_0101_6^13 + 1558942522416/26625576871*c_0101_6^11 - 8538688228153/53251153742*c_0101_6^9 + 1335398346482/26625576871*c_0101_6^7 - 2266400613331/53251153742*c_0101_6^5 - 5902713847/53251153742*c_0101_6^3 + 134678674377/53251153742*c_0101_6, c_0101_2 + 17106129747/26625576871*c_0101_6^12 - 1543122770193/26625576871*c_0101_6^10 + 3997909685393/26625576871*c_0101_6^8 - 34298782708/1157633777*c_0101_6^6 + 1227458847548/26625576871*c_0101_6^4 + 71915440722/26625576871*c_0101_6^2 + 7115143828/26625576871, c_0101_6^14 - 812/9*c_0101_6^12 + 19027/81*c_0101_6^10 - 3806/81*c_0101_6^8 + 5371/81*c_0101_6^6 + 427/81*c_0101_6^4 - 67/81*c_0101_6^2 - 8/81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB