Magma V2.19-8 Tue Aug 20 2013 18:02:06 on localhost [Seed = 509586287] Type ? for help. Type -D to quit. Loading file "11_376__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_376 geometric_solution 12.26192867 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 -5 4 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290973070933 0.918166320532 0 5 6 3 0132 0132 0132 1302 0 0 0 0 0 -1 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 4 0 -4 0 0 0 0 1 0 0 -1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.271660899128 0.849548698471 7 0 8 4 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 1 0 0 -1 -4 -1 0 5 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.454182674999 1.303546633593 5 9 1 0 0132 0132 2031 0132 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 1 -1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685148261131 0.743177480697 10 2 0 9 0132 0321 0132 0132 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 5 -5 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686393390510 0.893238957316 3 1 9 11 0132 0132 1230 0132 0 0 0 0 0 1 0 -1 -1 0 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 0 0 -4 0 4 4 0 -4 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539070110058 0.552221410349 8 8 11 1 2310 3120 1302 0132 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 -5 0 5 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 0.261045897823 1.052003329287 2 9 12 10 0132 1023 0132 3201 0 0 0 0 0 0 -1 1 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 5 -5 -1 0 1 0 -4 4 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626418982562 0.307998668109 10 6 6 2 3201 3120 3201 0132 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 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447101961435 0.636511456632 7 3 4 5 1023 0132 0132 3012 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 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639647025810 0.888318084060 4 7 12 8 0132 2310 3012 2310 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 0 0 0 0 0 -5 5 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731088229549 0.473619473670 6 12 5 12 2031 0213 0132 2310 0 0 0 0 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 -4 4 0 0 0 0 1 -1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449693854229 0.971406800949 11 10 11 7 3201 1230 0213 0132 0 0 0 0 0 -1 0 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 5 0 -5 0 0 1 -1 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449693854229 0.971406800949 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_2']), 's_3_11' : d['1'], 's_0_11' : 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_11'], 'c_0101_10' : d['c_0101_10'], '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_5']), 'c_1100_8' : negation(d['c_0011_6']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : negation(d['c_0011_6']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0011_8'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0101_0']), 'c_1010_8' : negation(d['c_0011_6']), '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' : negation(d['c_0011_10']), '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_0'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0101_1']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0101_2'], '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_10'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], '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_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 522657979/2772306*c_1001_5^10 + 882266138/1386153*c_1001_5^9 + 177241163/1386153*c_1001_5^8 - 7894636033/2772306*c_1001_5^7 + 3866933849/1386153*c_1001_5^6 + 1259395195/308034*c_1001_5^5 - 28105703323/2772306*c_1001_5^4 + 3365849944/462051*c_1001_5^3 - 2959729831/2772306*c_1001_5^2 - 2669609605/2772306*c_1001_5 + 585074282/1386153, c_0011_0 - 1, c_0011_10 + 18/157*c_1001_5^10 + 68/157*c_1001_5^9 - 238/157*c_1001_5^8 - 279/157*c_1001_5^7 + 930/157*c_1001_5^6 + 95/157*c_1001_5^5 - 1860/157*c_1001_5^4 + 1165/157*c_1001_5^3 + 197/157*c_1001_5^2 - 178/157*c_1001_5 - 90/157, c_0011_11 - 272/157*c_1001_5^10 + 839/157*c_1001_5^9 + 439/157*c_1001_5^8 - 3948/157*c_1001_5^7 + 2798/157*c_1001_5^6 + 6554/157*c_1001_5^5 - 12504/157*c_1001_5^4 + 7062/157*c_1001_5^3 + 41/157*c_1001_5^2 - 1305/157*c_1001_5 + 261/157, c_0011_12 + 23/157*c_1001_5^10 - 105/157*c_1001_5^9 + 132/157*c_1001_5^8 + 350/157*c_1001_5^7 - 1062/157*c_1001_5^6 + 8/157*c_1001_5^5 + 2438/157*c_1001_5^4 - 2951/157*c_1001_5^3 + 714/157*c_1001_5^2 + 261/157*c_1001_5 - 115/157, c_0011_6 + 151/157*c_1001_5^10 - 546/157*c_1001_5^9 - 130/157*c_1001_5^8 + 2605/157*c_1001_5^7 - 2194/157*c_1001_5^6 - 4323/157*c_1001_5^5 + 8627/157*c_1001_5^4 - 4261/157*c_1001_5^3 - 589/157*c_1001_5^2 + 792/157*c_1001_5 - 127/157, c_0011_8 - 17/157*c_1001_5^10 - 134/157*c_1001_5^9 + 469/157*c_1001_5^8 + 342/157*c_1001_5^7 - 2082/157*c_1001_5^6 + 861/157*c_1001_5^5 + 3850/157*c_1001_5^4 - 5034/157*c_1001_5^3 + 1602/157*c_1001_5^2 + 831/157*c_1001_5 - 543/157, c_0101_0 - 121/157*c_1001_5^10 + 293/157*c_1001_5^9 + 309/157*c_1001_5^8 - 1343/157*c_1001_5^7 + 604/157*c_1001_5^6 + 2231/157*c_1001_5^5 - 3877/157*c_1001_5^4 + 2801/157*c_1001_5^3 - 548/157*c_1001_5^2 - 513/157*c_1001_5 + 134/157, c_0101_1 - 178/157*c_1001_5^10 + 601/157*c_1001_5^9 + 173/157*c_1001_5^8 - 2736/157*c_1001_5^7 + 2369/157*c_1001_5^6 + 4102/157*c_1001_5^5 - 9134/157*c_1001_5^4 + 6203/157*c_1001_5^3 - 1041/157*c_1001_5^2 - 996/157*c_1001_5 + 576/157, c_0101_10 - 144/157*c_1001_5^10 + 398/157*c_1001_5^9 + 177/157*c_1001_5^8 - 1693/157*c_1001_5^7 + 1666/157*c_1001_5^6 + 2223/157*c_1001_5^5 - 6315/157*c_1001_5^4 + 5752/157*c_1001_5^3 - 1419/157*c_1001_5^2 - 774/157*c_1001_5 + 406/157, c_0101_11 + 68/157*c_1001_5^10 - 92/157*c_1001_5^9 - 306/157*c_1001_5^8 + 516/157*c_1001_5^7 + 321/157*c_1001_5^6 - 1403/157*c_1001_5^5 + 771/157*c_1001_5^4 + 354/157*c_1001_5^3 - 442/157*c_1001_5^2 - 184/157*c_1001_5 + 131/157, c_0101_2 + 38/157*c_1001_5^10 - 153/157*c_1001_5^9 - 14/157*c_1001_5^8 + 667/157*c_1001_5^7 - 601/157*c_1001_5^6 - 881/157*c_1001_5^5 + 2144/157*c_1001_5^4 - 1640/157*c_1001_5^3 + 695/157*c_1001_5^2 + 165/157*c_1001_5 - 190/157, c_1001_0 - 195/157*c_1001_5^10 + 467/157*c_1001_5^9 + 642/157*c_1001_5^8 - 2394/157*c_1001_5^7 + 287/157*c_1001_5^6 + 4963/157*c_1001_5^5 - 5284/157*c_1001_5^4 + 1169/157*c_1001_5^3 + 561/157*c_1001_5^2 - 165/157*c_1001_5 + 33/157, c_1001_5^11 - 3*c_1001_5^10 - 2*c_1001_5^9 + 15*c_1001_5^8 - 9*c_1001_5^7 - 28*c_1001_5^6 + 46*c_1001_5^5 - 17*c_1001_5^4 - 11*c_1001_5^3 + 8*c_1001_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.660 Total time: 4.870 seconds, Total memory usage: 122.09MB