Magma V2.19-8 Wed Aug 21 2013 00:51:40 on localhost [Seed = 256449139] Type ? for help. Type -D to quit. Loading file "L11n191__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n191 geometric_solution 11.81187803 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 -1 0 0 1 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 -8 0 0 8 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804558816252 0.834195177659 0 3 6 5 0132 3120 0132 0132 1 1 0 1 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 0 0 0 0 0 0 0 0 8 0 -8 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562570824113 0.392569601037 7 0 6 8 0132 0132 2103 0132 1 1 0 1 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 1 0 -1 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249029135044 0.567090670288 5 1 9 0 0132 3120 0132 0132 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562570824113 0.392569601037 8 10 0 11 3120 0132 0132 0132 1 1 1 1 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 1 -1 0 0 -8 8 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350822807342 1.478310275843 3 12 1 10 0132 0132 0132 0132 1 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804558816252 0.834195177659 2 11 9 1 2103 0321 0321 0132 1 1 1 1 0 0 0 0 0 0 -1 1 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 -8 8 0 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479543940725 0.587296064543 2 8 12 10 0132 2103 0132 3120 1 1 1 0 0 0 0 0 0 0 -1 1 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 -9 9 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.350822807342 1.478310275843 12 7 2 4 0132 2103 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 9 -1 -8 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 1.350822807342 1.478310275843 12 11 6 3 2103 2103 0321 0132 1 1 1 1 0 0 0 0 1 0 -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 9 0 -9 0 0 1 0 -1 1 -9 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479543940725 0.587296064543 7 4 5 11 3120 0132 0132 2310 1 1 1 1 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 0 0 0 -9 0 0 9 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350822807342 1.478310275843 10 9 4 6 3201 2103 0132 0321 1 1 1 1 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 -1 1 0 8 0 -8 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345905091735 0.996614148260 8 5 9 7 0132 0132 2103 0132 1 1 0 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 -9 9 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249029135044 0.567090670288 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : d['c_0011_9'], 'c_1001_12' : d['c_0011_9'], 'c_1001_5' : negation(d['c_0011_12']), 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0011_0'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_0011_6'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(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' : negation(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' : negation(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' : d['c_1001_6'], 'c_1100_8' : negation(d['c_0101_1']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_1001_6'], 'c_1100_3' : d['c_1001_6'], 'c_1100_2' : negation(d['c_0101_1']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_6'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_9'], 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_12']), 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : negation(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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_12']), 'c_0011_5' : negation(d['c_0011_12']), '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' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_7'], '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_0101_10'], 'c_0110_8' : d['c_0101_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_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0101_11']), '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_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_7, c_1001_1, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1984601053462751/28695688161984*c_1001_6^7 + 3948020234350349/2391307346832*c_1001_6^6 + 47751831205780507/3586961020248*c_1001_6^5 + 248581334189620483/9565229387328*c_1001_6^4 + 716371415951159197/28695688161984*c_1001_6^3 + 286861502369519761/28695688161984*c_1001_6^2 + 142665521451861979/28695688161984*c_1001_6 - 158489179165196899/28695688161984, c_0011_0 - 1, c_0011_10 + 77860589/2183177736*c_1001_6^7 + 480486871/545794434*c_1001_6^6 + 687827662/90965739*c_1001_6^5 + 41704695755/2183177736*c_1001_6^4 + 6046309591/242575304*c_1001_6^3 + 42111139475/2183177736*c_1001_6^2 + 24297797281/2183177736*c_1001_6 + 5359010623/2183177736, c_0011_11 + 23415527/2183177736*c_1001_6^7 + 142266127/545794434*c_1001_6^6 + 198749878/90965739*c_1001_6^5 + 11267854169/2183177736*c_1001_6^4 + 1838851957/242575304*c_1001_6^3 + 15716309849/2183177736*c_1001_6^2 + 11456851579/2183177736*c_1001_6 + 3708355069/2183177736, c_0011_12 + 39682397/2183177736*c_1001_6^7 + 240995821/545794434*c_1001_6^6 + 336140377/90965739*c_1001_6^5 + 18833451035/2183177736*c_1001_6^4 + 2893321631/242575304*c_1001_6^3 + 20193930107/2183177736*c_1001_6^2 + 14352543817/2183177736*c_1001_6 + 4019928607/2183177736, c_0011_6 - 94127459/2183177736*c_1001_6^7 - 579216565/545794434*c_1001_6^6 - 825218161/90965739*c_1001_6^5 - 49270292621/2183177736*c_1001_6^4 - 7100779265/242575304*c_1001_6^3 - 46588759733/2183177736*c_1001_6^2 - 27193489519/2183177736*c_1001_6 - 5670584161/2183177736, c_0011_9 + 13877351/2183177736*c_1001_6^7 + 84970471/545794434*c_1001_6^6 + 120724900/90965739*c_1001_6^5 + 7337196281/2183177736*c_1001_6^4 + 3865824743/727725912*c_1001_6^3 + 8416465409/2183177736*c_1001_6^2 + 4643953627/2183177736*c_1001_6 + 1169037685/2183177736, c_0101_0 - 7045575/121287652*c_1001_6^7 - 131749949/90965739*c_1001_6^6 - 384125650/30321913*c_1001_6^5 - 4130836493/121287652*c_1001_6^4 - 17145035327/363862956*c_1001_6^3 - 13470058583/363862956*c_1001_6^2 - 7942580533/363862956*c_1001_6 - 1865327435/363862956, c_0101_1 - 1, c_0101_10 - 11809771/2183177736*c_1001_6^7 - 66959879/545794434*c_1001_6^6 - 81516332/90965739*c_1001_6^5 - 2188030549/2183177736*c_1001_6^4 - 290812665/242575304*c_1001_6^3 - 2757059893/2183177736*c_1001_6^2 - 1179588143/2183177736*c_1001_6 - 918580769/2183177736, c_0101_11 + 39800321/2183177736*c_1001_6^7 + 245090821/545794434*c_1001_6^6 + 349314622/90965739*c_1001_6^5 + 20804478959/2183177736*c_1001_6^4 + 8755842305/727725912*c_1001_6^3 + 20797869503/2183177736*c_1001_6^2 + 13871236765/2183177736*c_1001_6 + 2600023339/2183177736, c_0101_7 - 376811875/4366355472*c_1001_6^7 - 2314873655/1091588868*c_1001_6^6 - 3289692257/181931478*c_1001_6^5 - 195177460885/4366355472*c_1001_6^4 - 85973942723/1455451824*c_1001_6^3 - 199812013309/4366355472*c_1001_6^2 - 115184096975/4366355472*c_1001_6 - 25360411817/4366355472, c_1001_1 - 65605367/4366355472*c_1001_6^7 - 401116171/1091588868*c_1001_6^6 - 564730099/181931478*c_1001_6^5 - 32300733713/4366355472*c_1001_6^4 - 4523327485/485150608*c_1001_6^3 - 32575334201/4366355472*c_1001_6^2 - 21396649219/4366355472*c_1001_6 - 5450914261/4366355472, c_1001_6^8 + 25*c_1001_6^7 + 220*c_1001_6^6 + 607*c_1001_6^5 + 902*c_1001_6^4 + 814*c_1001_6^3 + 544*c_1001_6^2 + 204*c_1001_6 + 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.440 seconds, Total memory usage: 32.09MB