Magma V2.19-8 Wed Aug 21 2013 00:52:44 on localhost [Seed = 4173262156] Type ? for help. Type -D to quit. Loading file "L12n1067__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1067 geometric_solution 11.71766000 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 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 0.775126528811 1.155719833772 0 5 6 4 0132 0132 0132 3120 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 -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 0.758311444273 0.572990200451 5 0 7 3 3120 0132 0132 1230 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 1 -1 0 1 0 0 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551174891681 0.830573798176 2 8 9 0 3012 0132 0132 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745856553386 0.859401081248 1 10 0 7 3120 0132 0132 3012 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 -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 -0.109169034470 0.664744054505 6 1 10 2 1302 0132 2103 3120 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 1 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707214549847 0.482547198439 11 5 11 1 0132 2031 3120 0132 0 1 0 0 0 0 0 0 -1 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 0 -7 0 6 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 0.019807287198 0.866848039363 9 12 4 2 1230 0132 1230 0132 1 0 0 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 -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 0.892702842445 0.793064681645 11 3 9 10 1230 0132 1302 0132 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 0 0 0 0 0 0 0.286152044138 0.547772010357 8 7 12 3 2031 3012 2031 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.624681879284 0.990904186103 5 4 8 12 2103 0132 0132 0132 1 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 0 0 0 0 0 0 0 -0.400119743270 1.341909141281 6 8 6 12 0132 3012 3120 1230 0 1 0 0 0 0 0 0 1 0 -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 7 0 -6 -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 0.019807287198 0.866848039363 11 7 10 9 3012 0132 0132 1302 1 0 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490561025784 1.261549725621 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_0101_3'], 'c_1010_12' : d['c_1001_7'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_1001_12'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], '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_12' : 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_1001_7']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : d['c_0101_0'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_0101_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0101_7']), 'c_1100_8' : d['c_0101_9'], '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'], 'c_1100_12' : d['c_0101_9'], '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_11']), '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_12'], 'c_0110_10' : d['c_0011_9'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : d['c_0011_9'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_12'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_9']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_11'], '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_3'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0011_9'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0101_9, c_1001_12, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 30085452838/18568693*c_1001_7^10 + 621829638863/37137386*c_1001_7^9 + 1939167172149/37137386*c_1001_7^8 + 42776448202/1428361*c_1001_7^7 + 9698796761/18568693*c_1001_7^6 - 770942629011/37137386*c_1001_7^5 - 154280584333/37137386*c_1001_7^4 + 42567651479/37137386*c_1001_7^3 + 93396536295/37137386*c_1001_7^2 - 8623493716/18568693*c_1001_7 - 1181897027/18568693, c_0011_0 - 1, c_0011_10 + 9708/1459*c_1001_7^10 + 97419/1459*c_1001_7^9 + 303730/1459*c_1001_7^8 + 310088/1459*c_1001_7^7 + 712421/1459*c_1001_7^6 + 567643/1459*c_1001_7^5 + 304766/1459*c_1001_7^4 - 141453/1459*c_1001_7^3 - 96825/1459*c_1001_7^2 - 37425/1459*c_1001_7 + 19803/1459, c_0011_11 - 85692/1459*c_1001_7^10 - 986775/1459*c_1001_7^9 - 3839368/1459*c_1001_7^8 - 5186638/1459*c_1001_7^7 - 3049470/1459*c_1001_7^6 + 76973/1459*c_1001_7^5 + 1209797/1459*c_1001_7^4 + 461409/1459*c_1001_7^3 - 32053/1459*c_1001_7^2 - 104374/1459*c_1001_7 + 7694/1459, c_0011_12 - 49966/1459*c_1001_7^10 - 1108175/2918*c_1001_7^9 - 2023868/1459*c_1001_7^8 - 4783989/2918*c_1001_7^7 - 3112591/2918*c_1001_7^6 - 150897/2918*c_1001_7^5 + 349479/1459*c_1001_7^4 + 236249/1459*c_1001_7^3 + 8907/2918*c_1001_7^2 - 34767/2918*c_1001_7 - 13817/2918, c_0011_3 - 40352/1459*c_1001_7^10 - 478568/1459*c_1001_7^9 - 1945088/1459*c_1001_7^8 - 2821756/1459*c_1001_7^7 - 1467052/1459*c_1001_7^6 + 217011/1459*c_1001_7^5 + 837196/1459*c_1001_7^4 + 200926/1459*c_1001_7^3 - 54454/1459*c_1001_7^2 - 81269/1459*c_1001_7 + 15958/1459, c_0011_9 + 14240/1459*c_1001_7^10 + 121400/1459*c_1001_7^9 + 208368/1459*c_1001_7^8 - 402649/1459*c_1001_7^7 + 63121/1459*c_1001_7^6 + 227870/1459*c_1001_7^5 + 510839/1459*c_1001_7^4 - 11089/1459*c_1001_7^3 - 40960/1459*c_1001_7^2 - 69607/1459*c_1001_7 + 20052/1459, c_0101_0 - 1, c_0101_1 - 22962/1459*c_1001_7^10 - 534497/2918*c_1001_7^9 - 1067536/1459*c_1001_7^8 - 3168149/2918*c_1001_7^7 - 2460237/2918*c_1001_7^6 - 692205/2918*c_1001_7^5 + 180593/1459*c_1001_7^4 + 186049/1459*c_1001_7^3 + 86867/2918*c_1001_7^2 - 30733/2918*c_1001_7 - 16083/2918, c_0101_3 - 28512/1459*c_1001_7^10 - 350088/1459*c_1001_7^9 - 1512628/1459*c_1001_7^8 - 2539894/1459*c_1001_7^7 - 1819614/1459*c_1001_7^6 - 415564/1459*c_1001_7^5 + 457882/1459*c_1001_7^4 + 260115/1459*c_1001_7^3 + 42242/1459*c_1001_7^2 - 43539/1459*c_1001_7 - 1779/1459, c_0101_7 + 1, c_0101_9 - 35006/1459*c_1001_7^10 - 834607/2918*c_1001_7^9 - 1714359/1459*c_1001_7^8 - 5142977/2918*c_1001_7^7 - 3034867/2918*c_1001_7^6 - 154961/2918*c_1001_7^5 + 559667/1459*c_1001_7^4 + 156805/1459*c_1001_7^3 - 41221/2918*c_1001_7^2 - 104447/2918*c_1001_7 + 21823/2918, c_1001_12 - 11166/1459*c_1001_7^10 - 321631/2918*c_1001_7^9 - 855819/1459*c_1001_7^8 - 3913431/2918*c_1001_7^7 - 3653771/2918*c_1001_7^6 - 1578415/2918*c_1001_7^5 + 239528/1459*c_1001_7^4 + 295009/1459*c_1001_7^3 + 190841/2918*c_1001_7^2 - 60631/2918*c_1001_7 - 20937/2918, c_1001_7^11 + 45/4*c_1001_7^10 + 169/4*c_1001_7^9 + 215/4*c_1001_7^8 + 35*c_1001_7^7 - 3*c_1001_7^6 - 57/4*c_1001_7^5 - 17/2*c_1001_7^4 + 5/4*c_1001_7^3 + 3/2*c_1001_7^2 + 1/2*c_1001_7 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB