Magma V2.19-8 Tue Aug 20 2013 23:56:57 on localhost [Seed = 4614384] Type ? for help. Type -D to quit. Loading file "L14n25102__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25102 geometric_solution 11.51834015 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 1023 0132 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 0 0 0 0 0 -1 0 1 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 0.661191239438 0.546533990672 0 4 0 5 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790428859277 0.498636854156 6 0 7 3 0132 0132 0132 1230 1 0 1 1 0 0 0 0 1 0 0 -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 1 0 -1 0 0 1 -1 -2 0 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656417358977 0.869151501071 2 8 0 9 3012 0132 0132 0132 1 1 0 1 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 1 -1 0 1 0 0 -1 1 -1 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443010849538 0.961935647707 7 1 10 5 1023 0132 0132 1230 1 1 1 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 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 1.037861865194 0.751316322117 4 8 1 6 3012 1302 0132 2031 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534950421440 0.513038864834 2 5 9 11 0132 1302 1302 0132 1 0 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 0 0 0 0 0 0 0 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728276497726 0.878556473168 8 4 11 2 2310 1023 0132 0132 1 0 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 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 0.452970942661 0.631341680453 10 3 7 5 1023 0132 3201 2031 1 1 1 0 0 0 -1 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 -1 -1 2 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 0.477413688672 0.509187546378 6 10 3 11 2031 1023 0132 0321 1 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 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 0.740170525582 1.094436876761 9 8 11 4 1023 1023 3201 0132 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540196767916 0.955151888458 10 9 6 7 2310 0321 0132 0132 1 0 1 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 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 0.362519996895 1.048793758513 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : d['c_0110_8'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : d['c_0110_8'], 's_3_11' : d['1'], 's_3_10' : 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' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : negation(d['c_1001_11']), 'c_1100_0' : d['c_1001_11'], 'c_1100_3' : d['c_1001_11'], 'c_1100_2' : d['c_0101_9'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0110_8'], 'c_1010_0' : d['c_0011_5'], 'c_1010_9' : d['c_0101_4'], 'c_1010_8' : d['c_0011_5'], 'c_1100_8' : negation(d['c_0011_0']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], '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_0101_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_11'], 'c_0110_3' : d['c_0101_9'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11']})} 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_9, c_0110_8, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 6856435778372231561497/591202198666755215*c_1001_11^11 + 42852532356610506445809/1182404397333510430*c_1001_11^10 + 104600094046838831602492/591202198666755215*c_1001_11^9 + 187914470752059059850718/591202198666755215*c_1001_11^8 + 867396651964602333810911/1182404397333510430*c_1001_11^7 + 401478245033225754707609/591202198666755215*c_1001_11^6 + 964203692866571009904627/1182404397333510430*c_1001_11^5 + 95696414237117697266197/1182404397333510430*c_1001_11^4 - 23161593818665640953834/591202198666755215*c_1001_11^3 - 64489228453342054060228/591202198666755215*c_1001_11^2 + 21559293726925635663944/591202198666755215*c_1001_11 - 3775254295465351923829/1182404397333510430, c_0011_0 - 1, c_0011_10 + 9600653240581/19381076497*c_1001_11^11 + 60025565256465/38762152994*c_1001_11^10 + 146500133574839/19381076497*c_1001_11^9 + 263293197396882/19381076497*c_1001_11^8 + 1215177334424003/38762152994*c_1001_11^7 + 562863885719872/19381076497*c_1001_11^6 + 1351433106990781/38762152994*c_1001_11^5 + 135561270000419/38762152994*c_1001_11^4 - 32328067497925/19381076497*c_1001_11^3 - 90297099672252/19381076497*c_1001_11^2 + 30111072068320/19381076497*c_1001_11 - 5202311671055/38762152994, c_0011_11 + 3813579835598/19381076497*c_1001_11^11 + 11904256985780/19381076497*c_1001_11^10 + 58141273624948/19381076497*c_1001_11^9 + 104330786884086/19381076497*c_1001_11^8 + 240927363284972/19381076497*c_1001_11^7 + 222608251246281/19381076497*c_1001_11^6 + 267707309058489/19381076497*c_1001_11^5 + 26092660356042/19381076497*c_1001_11^4 - 12454718202257/19381076497*c_1001_11^3 - 35576126002223/19381076497*c_1001_11^2 + 12198867292152/19381076497*c_1001_11 - 1109867194199/19381076497, c_0011_5 + 2327690163981/19381076497*c_1001_11^11 + 7235981987422/19381076497*c_1001_11^10 + 35378684951620/19381076497*c_1001_11^9 + 63171181490258/19381076497*c_1001_11^8 + 145986869802498/19381076497*c_1001_11^7 + 133492177730343/19381076497*c_1001_11^6 + 160545921519350/19381076497*c_1001_11^5 + 12615006710741/19381076497*c_1001_11^4 - 9225333079516/19381076497*c_1001_11^3 - 22126413130426/19381076497*c_1001_11^2 + 7656924098331/19381076497*c_1001_11 - 655218212350/19381076497, c_0101_0 - 6055801821550/19381076497*c_1001_11^11 - 18889045317023/19381076497*c_1001_11^10 - 92267307310425/19381076497*c_1001_11^9 - 165404061693017/19381076497*c_1001_11^8 - 381954308448648/19381076497*c_1001_11^7 - 352100774951876/19381076497*c_1001_11^6 - 423175980667137/19381076497*c_1001_11^5 - 39190471827898/19381076497*c_1001_11^4 + 21325423313962/19381076497*c_1001_11^3 + 56986288466313/19381076497*c_1001_11^2 - 19395534821649/19381076497*c_1001_11 + 1713269234256/19381076497, c_0101_1 + 1836140758257/19381076497*c_1001_11^11 + 5767865572676/19381076497*c_1001_11^10 + 28111506234962/19381076497*c_1001_11^9 + 50801114978396/19381076497*c_1001_11^8 + 117065874276225/19381076497*c_1001_11^7 + 109609318523994/19381076497*c_1001_11^6 + 131314688330787/19381076497*c_1001_11^5 + 15412960627240/19381076497*c_1001_11^4 - 5418990097409/19381076497*c_1001_11^3 - 17193904937904/19381076497*c_1001_11^2 + 5500050044187/19381076497*c_1001_11 - 480579474522/19381076497, c_0101_10 - 3198992838561/19381076497*c_1001_11^11 - 19790756768967/38762152994*c_1001_11^10 - 48473640120973/19381076497*c_1001_11^9 - 86088813525860/19381076497*c_1001_11^8 - 398760079148159/38762152994*c_1001_11^7 - 180557258512746/19381076497*c_1001_11^6 - 436383952559971/38762152994*c_1001_11^5 - 28835266201813/38762152994*c_1001_11^4 + 12466623647144/19381076497*c_1001_11^3 + 29930028265907/19381076497*c_1001_11^2 - 11018479669039/19381076497*c_1001_11 + 2120814687609/38762152994, c_0101_11 - 1, c_0101_4 - 2421812314207/19381076497*c_1001_11^11 - 7689998484326/19381076497*c_1001_11^10 - 37348361751482/19381076497*c_1001_11^9 - 68305149132967/19381076497*c_1001_11^8 - 156867329287543/19381076497*c_1001_11^7 - 150174251116600/19381076497*c_1001_11^6 - 178895177460097/19381076497*c_1001_11^5 - 27016001944588/19381076497*c_1001_11^4 + 5551261835645/19381076497*c_1001_11^3 + 22692246438422/19381076497*c_1001_11^2 - 6474539209993/19381076497*c_1001_11 + 474198352210/19381076497, c_0101_9 + 2251466707269/38762152994*c_1001_11^11 + 3505827717760/19381076497*c_1001_11^10 + 17140124336903/19381076497*c_1001_11^9 + 61372284411871/38762152994*c_1001_11^8 + 70951748641184/19381076497*c_1001_11^7 + 130653945484529/38762152994*c_1001_11^6 + 157621481738823/38762152994*c_1001_11^5 + 7463414500114/19381076497*c_1001_11^4 - 3393915181075/19381076497*c_1001_11^3 - 10298813990268/19381076497*c_1001_11^2 + 7444692623249/38762152994*c_1001_11 - 371355406462/19381076497, c_0110_8 - 10968643224734/19381076497*c_1001_11^11 - 34310379031187/19381076497*c_1001_11^10 - 167449185303529/19381076497*c_1001_11^9 - 301156642364961/19381076497*c_1001_11^8 - 694869564432874/19381076497*c_1001_11^7 - 644630345738629/19381076497*c_1001_11^6 - 773796075399804/19381076497*c_1001_11^5 - 79482273774175/19381076497*c_1001_11^4 + 36041208001048/19381076497*c_1001_11^3 + 103035380533470/19381076497*c_1001_11^2 - 34275215474815/19381076497*c_1001_11 + 2984531659962/19381076497, c_1001_11^12 + 37/13*c_1001_11^11 + 187/13*c_1001_11^10 + 301/13*c_1001_11^9 + 723/13*c_1001_11^8 + 532/13*c_1001_11^7 + 54*c_1001_11^6 - 164/13*c_1001_11^5 - 69/13*c_1001_11^4 - 110/13*c_1001_11^3 + 75/13*c_1001_11^2 - 15/13*c_1001_11 + 1/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB