Magma V2.19-8 Tue Aug 20 2013 23:56:23 on localhost [Seed = 189621014] Type ? for help. Type -D to quit. Loading file "L14n20559__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20559 geometric_solution 10.75904664 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 0 0 -1 2 -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 1 0 -1 0 -5 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452457476763 0.449859757490 0 5 6 2 0132 0132 0132 2103 0 1 0 1 0 -2 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 0 -1 1 0 -1 0 0 1 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768177402796 0.365433762238 7 0 7 1 0132 0132 3012 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 0.229820673646 0.989833657537 7 8 5 0 2031 0132 0132 0132 0 1 0 1 0 0 2 -2 0 0 0 0 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 0 1 -1 0 0 -1 1 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282848985241 0.670642292486 9 5 0 10 0132 3012 0132 0132 0 1 1 1 0 0 1 -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 1 -1 0 0 0 0 0 1 0 -1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.113332650301 2.001584935192 4 1 8 3 1230 0132 3120 0132 0 1 1 0 0 2 0 -2 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 1 0 -1 -1 0 0 1 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871826823436 0.818245568916 9 8 10 1 3120 0321 0213 0132 0 1 1 1 0 0 2 -2 0 0 0 0 0 0 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 0.143047538084 0.516315298320 2 2 3 11 0132 1230 1302 0132 1 1 1 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 -1 0 5 -4 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489641032266 0.629286138000 10 3 5 6 3120 0132 3120 0321 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871826823436 0.818245568916 4 11 11 6 0132 2310 3012 3120 1 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.971802092512 0.498007473420 11 6 4 8 0213 0213 0132 3120 0 1 1 1 0 -2 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 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 0.594258740486 0.447679430242 10 9 7 9 0213 1230 0132 3201 1 1 1 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 0 0 0 0 4 -4 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.073521197051 0.808727453391 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0011_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0101_8']), 'c_1100_3' : negation(d['c_0101_8']), 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_4'], 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_1001_1'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : 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_0110_11' : d['c_0011_6'], 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5, c_0101_8, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 837501765925/2422247247*c_1001_1^10 + 3007795320122/2422247247*c_1001_1^9 + 1520273334292/807415749*c_1001_1^8 + 5152530639755/807415749*c_1001_1^7 + 25096916301890/2422247247*c_1001_1^6 + 15183109953814/2422247247*c_1001_1^5 + 46804725086932/2422247247*c_1001_1^4 + 1011614682289/346035321*c_1001_1^3 - 6800392374626/807415749*c_1001_1^2 + 2258736620041/346035321*c_1001_1 - 1247836065445/2422247247, c_0011_0 - 1, c_0011_10 + 23891126/397299813*c_1001_1^10 + 26654210/132433271*c_1001_1^9 + 103294921/397299813*c_1001_1^8 + 398022757/397299813*c_1001_1^7 + 203942095/132433271*c_1001_1^6 + 176432714/397299813*c_1001_1^5 + 1146603506/397299813*c_1001_1^4 - 28728881/397299813*c_1001_1^3 - 1036014739/397299813*c_1001_1^2 + 232098707/132433271*c_1001_1 + 25283353/397299813, c_0011_11 - 7729318/397299813*c_1001_1^10 - 11124141/132433271*c_1001_1^9 - 64509830/397299813*c_1001_1^8 - 165228566/397299813*c_1001_1^7 - 101341808/132433271*c_1001_1^6 - 331803376/397299813*c_1001_1^5 - 511953118/397299813*c_1001_1^4 - 288993812/397299813*c_1001_1^3 - 144281350/397299813*c_1001_1^2 - 50674976/132433271*c_1001_1 - 106823282/397299813, c_0011_3 - 2069534/12816123*c_1001_1^10 - 2912784/4272041*c_1001_1^9 - 16075090/12816123*c_1001_1^8 - 45990088/12816123*c_1001_1^7 - 29241094/4272041*c_1001_1^6 - 80546864/12816123*c_1001_1^5 - 148942274/12816123*c_1001_1^4 - 103981216/12816123*c_1001_1^3 + 23620501/12816123*c_1001_1^2 - 9181473/4272041*c_1001_1 - 18238897/12816123, c_0011_4 - 37344830/397299813*c_1001_1^10 - 144107831/397299813*c_1001_1^9 - 77739908/132433271*c_1001_1^8 - 711288772/397299813*c_1001_1^7 - 1238313169/397299813*c_1001_1^6 - 284542526/132433271*c_1001_1^5 - 1991789447/397299813*c_1001_1^4 - 185581186/132433271*c_1001_1^3 + 955051477/397299813*c_1001_1^2 - 263996024/397299813*c_1001_1 - 18209763/132433271, c_0011_6 + 909135/132433271*c_1001_1^10 + 11983705/397299813*c_1001_1^9 + 18990715/397299813*c_1001_1^8 + 14719516/132433271*c_1001_1^7 + 95026634/397299813*c_1001_1^6 + 68075177/397299813*c_1001_1^5 + 18838901/132433271*c_1001_1^4 + 75979414/397299813*c_1001_1^3 - 3165446/132433271*c_1001_1^2 - 43250105/397299813*c_1001_1 - 135099569/397299813, c_0101_0 + 843250/4272041*c_1001_1^10 + 10326704/12816123*c_1001_1^9 + 18604964/12816123*c_1001_1^8 + 18357026/4272041*c_1001_1^7 + 102045058/12816123*c_1001_1^6 + 92899894/12816123*c_1001_1^5 + 61542956/4272041*c_1001_1^4 + 113473259/12816123*c_1001_1^3 - 5590474/4272041*c_1001_1^2 + 50321303/12816123*c_1001_1 + 16169363/12816123, c_0101_1 - 1, c_0101_5 - 238804/12816123*c_1001_1^10 - 1013704/12816123*c_1001_1^9 - 716630/4272041*c_1001_1^8 - 6466958/12816123*c_1001_1^7 - 11432120/12816123*c_1001_1^6 - 4308743/4272041*c_1001_1^5 - 24946504/12816123*c_1001_1^4 - 5272004/4272041*c_1001_1^3 - 8402749/12816123*c_1001_1^2 - 8145700/12816123*c_1001_1 - 1727355/4272041, c_0101_8 + 252512/12816123*c_1001_1^10 + 230546/4272041*c_1001_1^9 + 583546/12816123*c_1001_1^8 + 3166432/12816123*c_1001_1^7 + 791294/4272041*c_1001_1^6 - 5312338/12816123*c_1001_1^5 + 5695085/12816123*c_1001_1^4 - 14212535/12816123*c_1001_1^3 - 18174724/12816123*c_1001_1^2 + 5575507/4272041*c_1001_1 + 460216/12816123, c_1001_0 - 2277238/12816123*c_1001_1^10 - 9635066/12816123*c_1001_1^9 - 18021418/12816123*c_1001_1^8 - 51904646/12816123*c_1001_1^7 - 99671176/12816123*c_1001_1^6 - 98212232/12816123*c_1001_1^5 - 178933783/12816123*c_1001_1^4 - 127685794/12816123*c_1001_1^3 - 1403302/12816123*c_1001_1^2 - 33594782/12816123*c_1001_1 - 15709147/12816123, c_1001_1^11 + 4*c_1001_1^10 + 7*c_1001_1^9 + 21*c_1001_1^8 + 38*c_1001_1^7 + 32*c_1001_1^6 + 66*c_1001_1^5 + 33*c_1001_1^4 - 16*c_1001_1^3 + 10*c_1001_1^2 + 4*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB