Magma V2.19-8 Tue Aug 20 2013 23:42:48 on localhost [Seed = 1478376721] Type ? for help. Type -D to quit. Loading file "L13n5903__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5903 geometric_solution 9.59145877 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 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 1 -1 0 0 0 1 -1 0 -7 0 7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567864154670 0.638271603777 0 5 6 2 0132 0132 0132 3120 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 0 0 0 0 0 0 0 1 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 0 0 0 0.583686175054 0.526892128602 1 0 8 7 3120 0132 0132 0132 1 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 -1 1 0 0 0 0 0 0 0 0 0 1 7 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788783008354 0.614051940862 7 9 8 0 0132 0132 3120 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 0 -1 1 1 0 0 -1 -4 3 0 1 -7 8 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.162312479472 0.761263271700 5 7 0 9 2031 0132 0132 0132 1 1 0 1 0 0 0 0 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 0 0 0 -1 0 1 0 -1 4 0 -3 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727339756539 1.074292535353 9 1 4 6 0213 0132 1302 3012 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 -1 1 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 0.923228665382 1.168450067091 10 10 5 1 0132 3201 1230 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 0.506529274916 1.215219064426 3 4 2 8 0132 0132 0132 0321 1 1 1 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 0 0 0 -1 0 0 1 7 -7 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.267901123593 1.256485554913 9 7 3 2 3120 0321 3120 0132 1 1 1 1 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 1 -1 0 0 0 0 -8 0 0 8 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.928216563099 0.555812109625 5 3 4 8 0213 0132 0132 3120 1 1 1 0 0 0 0 0 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 0 0 0 0 0 0 0 0 -8 0 8 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210615812708 0.614519946752 6 10 6 10 0132 2310 2310 3201 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 -0.725184295288 0.483387164787 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_6'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_8'], 'c_1010_10' : negation(d['c_0101_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_1'], '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_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_0101_8']), 'c_1100_8' : d['c_0011_8'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_8']), 'c_1100_3' : negation(d['c_0101_8']), 'c_1100_2' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), '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_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : d['c_1001_2'], '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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), '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_10' : d['c_0101_6'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), '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_0011_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], '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_0101_0'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0101_8, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 39891271948374184502/442419539268025*c_1001_2^13 - 9538278880264089396/88483907853605*c_1001_2^12 + 80994079441395010811/442419539268025*c_1001_2^11 - 31137703837550275941/442419539268025*c_1001_2^10 + 2151840973868420722/442419539268025*c_1001_2^9 - 40620077517902850497/442419539268025*c_1001_2^8 + 24904297454163448976/442419539268025*c_1001_2^7 + 3103432703066526659/17696781570721*c_1001_2^6 - 59932060377561724492/442419539268025*c_1001_2^5 - 9312028474876224007/442419539268025*c_1001_2^4 + 27513115686036227177/442419539268025*c_1001_2^3 - 4034059054685429496/442419539268025*c_1001_2^2 - 11351147666977153196/442419539268025*c_1001_2 + 6001905599278747677/442419539268025, c_0011_0 - 1, c_0011_10 + 30989145926157668/1327258617804075*c_1001_2^13 + 2934011987598048/88483907853605*c_1001_2^12 - 49906576863374824/1327258617804075*c_1001_2^11 + 5381023091662698/442419539268025*c_1001_2^10 - 5547693084195173/1327258617804075*c_1001_2^9 + 10743541207785341/442419539268025*c_1001_2^8 - 14391254101667984/1327258617804075*c_1001_2^7 - 2439636907639706/53090344712163*c_1001_2^6 + 30527243479330828/1327258617804075*c_1001_2^5 + 8313971302566163/1327258617804075*c_1001_2^4 - 5017575211331256/442419539268025*c_1001_2^3 + 272974378971364/1327258617804075*c_1001_2^2 + 7109111947085264/1327258617804075*c_1001_2 - 1428627427213093/1327258617804075, c_0011_3 - 2505957335781864/442419539268025*c_1001_2^13 - 199277901877332/88483907853605*c_1001_2^12 + 9655644991014552/442419539268025*c_1001_2^11 - 2371022629068062/442419539268025*c_1001_2^10 - 921974063375396/442419539268025*c_1001_2^9 - 2311357288554254/442419539268025*c_1001_2^8 + 3268182400587782/442419539268025*c_1001_2^7 + 246627263537029/17696781570721*c_1001_2^6 - 7237720628985244/442419539268025*c_1001_2^5 - 1349666835492574/442419539268025*c_1001_2^4 + 3045317985542964/442419539268025*c_1001_2^3 - 1050952334032747/442419539268025*c_1001_2^2 - 892508478724972/442419539268025*c_1001_2 + 714737482139764/442419539268025, c_0011_8 + 10279302530308136/1327258617804075*c_1001_2^13 + 1040639799105036/88483907853605*c_1001_2^12 - 13261226700200398/1327258617804075*c_1001_2^11 + 3020883154849896/442419539268025*c_1001_2^10 + 716635176845779/1327258617804075*c_1001_2^9 + 3269352546890932/442419539268025*c_1001_2^8 - 2318348365147493/1327258617804075*c_1001_2^7 - 712370995164959/53090344712163*c_1001_2^6 + 11609314612753381/1327258617804075*c_1001_2^5 + 407796263723476/1327258617804075*c_1001_2^4 - 2255251495562612/442419539268025*c_1001_2^3 + 397141737712978/1327258617804075*c_1001_2^2 + 2380045833480878/1327258617804075*c_1001_2 - 841274218541536/1327258617804075, c_0101_0 + 2505957335781864/442419539268025*c_1001_2^13 + 199277901877332/88483907853605*c_1001_2^12 - 9655644991014552/442419539268025*c_1001_2^11 + 2371022629068062/442419539268025*c_1001_2^10 + 921974063375396/442419539268025*c_1001_2^9 + 2311357288554254/442419539268025*c_1001_2^8 - 3268182400587782/442419539268025*c_1001_2^7 - 246627263537029/17696781570721*c_1001_2^6 + 7237720628985244/442419539268025*c_1001_2^5 + 1349666835492574/442419539268025*c_1001_2^4 - 3045317985542964/442419539268025*c_1001_2^3 + 1050952334032747/442419539268025*c_1001_2^2 + 892508478724972/442419539268025*c_1001_2 - 714737482139764/442419539268025, c_0101_1 - 1, c_0101_2 - 2044468535417452/120659874345825*c_1001_2^13 - 204735988109332/8043991623055*c_1001_2^12 + 2936736476694836/120659874345825*c_1001_2^11 - 366511649574172/40219958115275*c_1001_2^10 + 111550236279097/120659874345825*c_1001_2^9 - 765085571268499/40219958115275*c_1001_2^8 + 651428969650201/120659874345825*c_1001_2^7 + 151705498071820/4826394973833*c_1001_2^6 - 1766912077966892/120659874345825*c_1001_2^5 - 596143959747557/120659874345825*c_1001_2^4 + 340683914579684/40219958115275*c_1001_2^3 + 195197296170454/120659874345825*c_1001_2^2 - 493798668988096/120659874345825*c_1001_2 + 104726809772252/120659874345825, c_0101_6 - 38401608462203636/1327258617804075*c_1001_2^13 - 3733189909217996/88483907853605*c_1001_2^12 + 59548182677584648/1327258617804075*c_1001_2^11 - 5960121142435846/442419539268025*c_1001_2^10 + 6596235234701621/1327258617804075*c_1001_2^9 - 13582709393875482/442419539268025*c_1001_2^8 + 13694903512752368/1327258617804075*c_1001_2^7 + 2960270771054780/53090344712163*c_1001_2^6 - 34401744694040056/1327258617804075*c_1001_2^5 - 10259954389832776/1327258617804075*c_1001_2^4 + 5601934472089312/442419539268025*c_1001_2^3 - 997873814839153/1327258617804075*c_1001_2^2 - 8262605957721878/1327258617804075*c_1001_2 + 2889083206169686/1327258617804075, c_0101_8 - c_1001_2, c_1001_0 - 1509567826395204/442419539268025*c_1001_2^13 - 796077734348772/88483907853605*c_1001_2^12 - 577162471851778/442419539268025*c_1001_2^11 + 1437906456036368/442419539268025*c_1001_2^10 - 268304674750606/442419539268025*c_1001_2^9 - 1204452829943894/442419539268025*c_1001_2^8 - 1595994681999973/442419539268025*c_1001_2^7 + 100824978700540/17696781570721*c_1001_2^6 + 1497076090538566/442419539268025*c_1001_2^5 - 1202702297468064/442419539268025*c_1001_2^4 + 461315313848779/442419539268025*c_1001_2^3 + 229166831018008/442419539268025*c_1001_2^2 - 641224628746817/442419539268025*c_1001_2 - 73704627522996/442419539268025, c_1001_2^14 + c_1001_2^13 - 77/34*c_1001_2^12 + 20/17*c_1001_2^11 - 7/34*c_1001_2^10 + 35/34*c_1001_2^9 - 14/17*c_1001_2^8 - 31/17*c_1001_2^7 + 32/17*c_1001_2^6 - 1/17*c_1001_2^5 - 25/34*c_1001_2^4 + 4/17*c_1001_2^3 + 9/34*c_1001_2^2 - 7/34*c_1001_2 + 1/34 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB