Magma V2.19-8 Tue Aug 20 2013 17:57:08 on localhost [Seed = 1983365757] Type ? for help. Type -D to quit. Loading file "11_51__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_51 geometric_solution 11.21911773 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.764343162810 0.758992665933 0 5 7 6 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.007697655287 1.101494544197 7 0 9 8 1230 0132 0132 0132 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 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598016334450 0.593873405867 4 5 8 0 3120 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.415957662465 0.668581038789 10 6 0 3 0132 2310 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.922182888672 0.495051561459 7 1 3 11 2103 0132 0213 0132 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 -1 1 0 0 0 0 0 1 2 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.044871350140 1.310638080018 10 9 1 4 2103 2103 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491281844303 0.930709852244 10 2 5 1 3120 3012 2103 0132 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 0 -1 1 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 0.636839138796 0.498333343823 9 11 2 3 2103 0321 0132 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 3 0 -2 -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 0.648458708072 1.134312047099 11 6 8 2 1302 2103 2103 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 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.882356355079 0.468764516038 4 11 6 7 0132 2031 2103 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.336361154160 0.559315279122 10 9 5 8 1302 2031 0132 0321 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 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427086226995 0.584543610994 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_3'], 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_9'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : negation(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' : d['c_1001_0'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_0'], 'c_1100_10' : negation(d['c_0011_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_1001_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_9'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_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' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_3'])})} 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_3, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 2992572236978081931582297152/1752321536586037369618925*c_1001_2^10 + 1300341413861487139406882976/1752321536586037369618925*c_1001_2^9 - 1765694727578672443593649376/1752321536586037369618925*c_1001_2^8 + 70754246398305518382346394216/1752321536586037369618925*c_1001_2^7 - 11451752529588538907350181912/350464307317207473923785*c_1001_2^6 - 1512265562512414356262762638/17349718184020171976425*c_1001_2^5 + 72220777799042555432755720723/1752321536586037369618925*c_1001_2^4 + 11380009681325973169180671444/250331648083719624231275*c_1001_2^3 - 6666695430414899560236756768/350464307317207473923785*c_1001_2^2 - 3800257249538593469153116333/1752321536586037369618925*c_1001_2 + 203805565821668882483772846/350464307317207473923785, c_0011_0 - 1, c_0011_10 + 1311835773576960/2649631097250703*c_1001_2^10 - 1830141730147072/2649631097250703*c_1001_2^9 + 1096417226341152/2649631097250703*c_1001_2^8 - 31773749647291504/2649631097250703*c_1001_2^7 + 54773679330071880/2649631097250703*c_1001_2^6 + 48043227013051236/2649631097250703*c_1001_2^5 - 97587304616008974/2649631097250703*c_1001_2^4 - 17659169398103917/2649631097250703*c_1001_2^3 + 49018996528672157/2649631097250703*c_1001_2^2 - 7909817803544529/2649631097250703*c_1001_2 - 3569792177086391/2649631097250703, c_0011_11 - 16982711534040448/13248155486253515*c_1001_2^10 + 8381582055571584/13248155486253515*c_1001_2^9 - 11721165752173984/13248155486253515*c_1001_2^8 + 401689981152034864/13248155486253515*c_1001_2^7 - 70003918179136232/2649631097250703*c_1001_2^6 - 817999533921271692/13248155486253515*c_1001_2^5 + 458980356737932172/13248155486253515*c_1001_2^4 + 369373165514800937/13248155486253515*c_1001_2^3 - 50271419589768929/2649631097250703*c_1001_2^2 - 1876300257463027/13248155486253515*c_1001_2 + 4695223406140799/2649631097250703, c_0011_3 - 4188747535835648/13248155486253515*c_1001_2^10 - 118013230071616/13248155486253515*c_1001_2^9 - 501773271312064/13248155486253515*c_1001_2^8 + 97811759137653664/13248155486253515*c_1001_2^7 - 6714072475220896/2649631097250703*c_1001_2^6 - 277284612102306952/13248155486253515*c_1001_2^5 + 13597486165774392/13248155486253515*c_1001_2^4 + 215564276946326247/13248155486253515*c_1001_2^3 - 30219507660423/2649631097250703*c_1001_2^2 - 39616505543711042/13248155486253515*c_1001_2 + 238091852257235/2649631097250703, c_0011_6 + 1425892394156992/2649631097250703*c_1001_2^10 - 2626667588206624/2649631097250703*c_1001_2^9 + 1345496311593824/2649631097250703*c_1001_2^8 - 34731458283294296/2649631097250703*c_1001_2^7 + 74472093787946184/2649631097250703*c_1001_2^6 + 43193871139843450/2649631097250703*c_1001_2^5 - 144077435617486569/2649631097250703*c_1001_2^4 - 6507305534482899/2649631097250703*c_1001_2^3 + 75345358091771890/2649631097250703*c_1001_2^2 - 11965230375965812/2649631097250703*c_1001_2 - 6254377182010496/2649631097250703, c_0011_9 - 16982711534040448/13248155486253515*c_1001_2^10 + 8381582055571584/13248155486253515*c_1001_2^9 - 11721165752173984/13248155486253515*c_1001_2^8 + 401689981152034864/13248155486253515*c_1001_2^7 - 70003918179136232/2649631097250703*c_1001_2^6 - 817999533921271692/13248155486253515*c_1001_2^5 + 458980356737932172/13248155486253515*c_1001_2^4 + 369373165514800937/13248155486253515*c_1001_2^3 - 50271419589768929/2649631097250703*c_1001_2^2 - 1876300257463027/13248155486253515*c_1001_2 + 4695223406140799/2649631097250703, c_0101_0 - 12168376257114176/13248155486253515*c_1001_2^10 + 5671310041767648/13248155486253515*c_1001_2^9 - 7760792694639808/13248155486253515*c_1001_2^8 + 288134115662073608/13248155486253515*c_1001_2^7 - 48439941208540256/2649631097250703*c_1001_2^6 - 604202169354802614/13248155486253515*c_1001_2^5 + 304655877501468589/13248155486253515*c_1001_2^4 + 294893289950889899/13248155486253515*c_1001_2^3 - 26153518590974127/2649631097250703*c_1001_2^2 - 5983586009149634/13248155486253515*c_1001_2 + 165011488209012/2649631097250703, c_0101_1 + 16982711534040448/13248155486253515*c_1001_2^10 - 8381582055571584/13248155486253515*c_1001_2^9 + 11721165752173984/13248155486253515*c_1001_2^8 - 401689981152034864/13248155486253515*c_1001_2^7 + 70003918179136232/2649631097250703*c_1001_2^6 + 817999533921271692/13248155486253515*c_1001_2^5 - 458980356737932172/13248155486253515*c_1001_2^4 - 369373165514800937/13248155486253515*c_1001_2^3 + 50271419589768929/2649631097250703*c_1001_2^2 + 1876300257463027/13248155486253515*c_1001_2 - 2045592308890096/2649631097250703, c_0101_2 + 33532981126057088/13248155486253515*c_1001_2^10 - 11894989265497664/13248155486253515*c_1001_2^9 + 20577556444421344/13248155486253515*c_1001_2^8 - 789730008683171504/13248155486253515*c_1001_2^7 + 115949974848017288/2649631097250703*c_1001_2^6 + 1718912756689338732/13248155486253515*c_1001_2^5 - 690347060768824012/13248155486253515*c_1001_2^4 - 839935633247000252/13248155486253515*c_1001_2^3 + 73056088587383255/2649631097250703*c_1001_2^2 + 42563586017209462/13248155486253515*c_1001_2 - 3163754541710606/2649631097250703, c_0101_3 + 7007797737630336/13248155486253515*c_1001_2^10 + 225019373497792/13248155486253515*c_1001_2^9 + 3518062256235488/13248155486253515*c_1001_2^8 - 163720466308410128/13248155486253515*c_1001_2^7 + 11555960090199048/2649631097250703*c_1001_2^6 + 401257820343852604/13248155486253515*c_1001_2^5 + 4419298279759356/13248155486253515*c_1001_2^4 - 234294492009729114/13248155486253515*c_1001_2^3 + 316289466655282/2649631097250703*c_1001_2^2 + 42490157525516419/13248155486253515*c_1001_2 + 301042725657541/2649631097250703, c_1001_0 - 13566976605515136/13248155486253515*c_1001_2^10 + 8925689277237568/13248155486253515*c_1001_2^9 - 9000148387941248/13248155486253515*c_1001_2^8 + 322589214544867648/13248155486253515*c_1001_2^7 - 66329639420270928/2649631097250703*c_1001_2^6 - 641473955409108784/13248155486253515*c_1001_2^5 + 483517224800285514/13248155486253515*c_1001_2^4 + 322590339000248699/13248155486253515*c_1001_2^3 - 49335285995327439/2649631097250703*c_1001_2^2 - 16189223994047289/13248155486253515*c_1001_2 + 3268749451428850/2649631097250703, c_1001_2^11 - 1/2*c_1001_2^10 + 1/2*c_1001_2^9 - 189/8*c_1001_2^8 + 165/8*c_1001_2^7 + 1683/32*c_1001_2^6 - 1911/64*c_1001_2^5 - 1003/32*c_1001_2^4 + 515/32*c_1001_2^3 + 281/64*c_1001_2^2 - 55/32*c_1001_2 - 25/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.050 Total time: 1.260 seconds, Total memory usage: 64.12MB