Magma V2.19-8 Tue Aug 20 2013 17:56:05 on localhost [Seed = 1090582150] Type ? for help. Type -D to quit. Loading file "11_279__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_279 geometric_solution 8.76519368 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 2 1 3 0132 0132 3012 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 1 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 0.115462383077 1.787109194842 0 0 5 4 0132 1230 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 0 0 0 0 -1 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222459927815 0.449455370667 4 0 7 6 3120 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 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 0.308810525697 0.486487898616 8 9 0 7 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.089209573358 0.724870869797 8 6 1 2 3012 0132 0132 3120 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 1 0 -1 0 -1 2 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.166249002420 0.608049182049 6 7 8 1 0321 1230 3120 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 -2 0 1 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 0.553203727058 1.195567639969 5 4 2 8 0321 0132 0132 0321 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 1 -1 0 0 0 0 -1 1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.036464684445 0.846562576223 3 9 5 2 3120 3012 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.505099915172 1.049997452891 3 6 5 4 0132 0321 3120 1230 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 1 0 -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 0 0 -0.032507637351 0.680961362884 7 3 9 9 1230 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500199181904 0.398448850354 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_7'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : negation(d['c_0101_9']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_1001_5']), 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_9'], 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_1001_5']), 'c_1100_6' : negation(d['c_1001_5']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_1001_5']), 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_0101_7'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0101_9']), 'c_1010_9' : negation(d['c_0101_9']), 'c_1010_8' : d['c_0101_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' : 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' : negation(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' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_4']), '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_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_2'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_2, c_0101_5, c_0101_7, c_0101_9, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 748675430135011767/3257311154910632960*c_1001_5^10 + 661642339404181751/132951475710638080*c_1001_5^9 - 289328321056528107353/6514622309821265920*c_1001_5^8 + 85113088968870175497/407163894363829120*c_1001_5^7 - 1810705811967270862843/3257311154910632960*c_1001_5^6 + 5434009045289226407091/6514622309821265920*c_1001_5^5 - 4919432659641146120449/6514622309821265920*c_1001_5^4 + 2063355994616201348117/3257311154910632960*c_1001_5^3 - 1533831217002569023907/3257311154910632960*c_1001_5^2 - 4279462451561200331/46533016498723328*c_1001_5 - 259573183033783936171/1628655577455316480, c_0011_0 - 1, c_0011_3 + 66925382773/38552623445504*c_1001_5^10 - 417598341459/11015035270144*c_1001_5^9 + 26401563460203/77105246891008*c_1001_5^8 - 7886778052317/4819077930688*c_1001_5^7 + 170323715611921/38552623445504*c_1001_5^6 - 510076325808873/77105246891008*c_1001_5^5 + 426450015011395/77105246891008*c_1001_5^4 - 157030399242607/38552623445504*c_1001_5^3 + 129142738751337/38552623445504*c_1001_5^2 + 3682621634645/2753758817536*c_1001_5 + 19818901249601/19276311722752, c_0011_4 + 12045164907/5507517635072*c_1001_5^10 - 524022823115/11015035270144*c_1001_5^9 + 4701953611421/11015035270144*c_1001_5^8 - 1392974866591/688439704384*c_1001_5^7 + 29949642651375/5507517635072*c_1001_5^6 - 91590977415719/11015035270144*c_1001_5^5 + 84911701233573/11015035270144*c_1001_5^4 - 34573867005825/5507517635072*c_1001_5^3 + 23863961281135/5507517635072*c_1001_5^2 + 1897025798509/2753758817536*c_1001_5 + 2956870542231/2753758817536, c_0011_7 + 45461505645/19276311722752*c_1001_5^10 - 274109148079/5507517635072*c_1001_5^9 + 16558189935293/38552623445504*c_1001_5^8 - 9297326741417/4819077930688*c_1001_5^7 + 92120576033741/19276311722752*c_1001_5^6 - 242229278929717/38552623445504*c_1001_5^5 + 164758479106693/38552623445504*c_1001_5^4 - 49217509375683/19276311722752*c_1001_5^3 + 31488155886135/19276311722752*c_1001_5^2 + 2663104836541/1376879408768*c_1001_5 + 8178342266431/9638155861376, c_0101_0 + 12045164907/5507517635072*c_1001_5^10 - 524022823115/11015035270144*c_1001_5^9 + 4701953611421/11015035270144*c_1001_5^8 - 1392974866591/688439704384*c_1001_5^7 + 29949642651375/5507517635072*c_1001_5^6 - 91590977415719/11015035270144*c_1001_5^5 + 84911701233573/11015035270144*c_1001_5^4 - 34573867005825/5507517635072*c_1001_5^3 + 23863961281135/5507517635072*c_1001_5^2 + 1897025798509/2753758817536*c_1001_5 + 2956870542231/2753758817536, c_0101_2 - 129565725/1204769482672*c_1001_5^10 + 167162957/86054963048*c_1001_5^9 - 64372819155/4819077930688*c_1001_5^8 + 100247841683/2409538965344*c_1001_5^7 - 127827577959/2409538965344*c_1001_5^6 + 42418864319/2409538965344*c_1001_5^5 - 281707863105/4819077930688*c_1001_5^4 + 10204959773/1204769482672*c_1001_5^3 + 144705909737/2409538965344*c_1001_5^2 + 1790943662/10756870381*c_1001_5 + 460167063189/1204769482672, c_0101_5 + 129565725/1204769482672*c_1001_5^10 - 167162957/86054963048*c_1001_5^9 + 64372819155/4819077930688*c_1001_5^8 - 100247841683/2409538965344*c_1001_5^7 + 127827577959/2409538965344*c_1001_5^6 - 42418864319/2409538965344*c_1001_5^5 + 281707863105/4819077930688*c_1001_5^4 - 10204959773/1204769482672*c_1001_5^3 - 144705909737/2409538965344*c_1001_5^2 - 1790943662/10756870381*c_1001_5 + 744602419483/1204769482672, c_0101_7 + 17350049441/9638155861376*c_1001_5^10 - 109045784173/2753758817536*c_1001_5^9 + 3456786556689/9638155861376*c_1001_5^8 - 8218798865947/4819077930688*c_1001_5^7 + 43523028370343/9638155861376*c_1001_5^6 - 124762962960851/19276311722752*c_1001_5^5 + 48106208510061/9638155861376*c_1001_5^4 - 34824077710613/9638155861376*c_1001_5^3 + 13010491459173/4819077930688*c_1001_5^2 + 1033873319857/688439704384*c_1001_5 + 2332852694749/2409538965344, c_0101_9 - 12677293849/38552623445504*c_1001_5^10 + 79509383191/11015035270144*c_1001_5^9 - 4956138099275/77105246891008*c_1001_5^8 + 1407846566921/4819077930688*c_1001_5^7 - 26872001117573/38552623445504*c_1001_5^6 + 60814196786037/77105246891008*c_1001_5^5 - 33880758299475/77105246891008*c_1001_5^4 + 27659271657155/38552623445504*c_1001_5^3 - 6677861651689/38552623445504*c_1001_5^2 - 4523939563849/2753758817536*c_1001_5 - 10719177521249/19276311722752, c_1001_5^11 - 43/2*c_1001_5^10 + 190*c_1001_5^9 - 1763/2*c_1001_5^8 + 2293*c_1001_5^7 - 6647/2*c_1001_5^6 + 2908*c_1001_5^5 - 5073/2*c_1001_5^4 + 1884*c_1001_5^3 + 557*c_1001_5^2 + 836*c_1001_5 + 142 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_2, c_0101_5, c_0101_7, c_0101_9, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 9832139832202/1312124370375*c_1001_5^11 - 8996833660244/100932643875*c_1001_5^10 - 231904381021224/437374790125*c_1001_5^9 - 844325959936611/437374790125*c_1001_5^8 - 256477650612107/52484974815*c_1001_5^7 - 11463783146209393/1312124370375*c_1001_5^6 - 14847457357096096/1312124370375*c_1001_5^5 - 13395289588859846/1312124370375*c_1001_5^4 - 8235484588148218/1312124370375*c_1001_5^3 - 205414813132911/87474958025*c_1001_5^2 - 146376903575701/262424874075*c_1001_5 - 65689927211702/1312124370375, c_0011_0 - 1, c_0011_3 - 49364142/71408129*c_1001_5^11 - 45025779/5492933*c_1001_5^10 - 3470508013/71408129*c_1001_5^9 - 12580769712/71408129*c_1001_5^8 - 31678400148/71408129*c_1001_5^7 - 56194591852/71408129*c_1001_5^6 - 71978133572/71408129*c_1001_5^5 - 63680979655/71408129*c_1001_5^4 - 37855051343/71408129*c_1001_5^3 - 13076592075/71408129*c_1001_5^2 - 2772244231/71408129*c_1001_5 - 190070885/71408129, c_0011_4 - 30777971/71408129*c_1001_5^11 - 27379805/5492933*c_1001_5^10 - 2062270478/71408129*c_1001_5^9 - 7270611605/71408129*c_1001_5^8 - 17792062528/71408129*c_1001_5^7 - 30384178334/71408129*c_1001_5^6 - 37193675049/71408129*c_1001_5^5 - 30547051455/71408129*c_1001_5^4 - 16247566653/71408129*c_1001_5^3 - 4182400868/71408129*c_1001_5^2 - 607583237/71408129*c_1001_5 + 49716059/71408129, c_0011_7 + 51474476/71408129*c_1001_5^11 + 47691062/5492933*c_1001_5^10 + 3725685828/71408129*c_1001_5^9 + 13718685798/71408129*c_1001_5^8 + 35082521346/71408129*c_1001_5^7 + 63509560674/71408129*c_1001_5^6 + 83236670200/71408129*c_1001_5^5 + 76288328865/71408129*c_1001_5^4 + 47356644038/71408129*c_1001_5^3 + 17797299874/71408129*c_1001_5^2 + 3829532339/71408129*c_1001_5 + 343097273/71408129, c_0101_0 - 18586171/71408129*c_1001_5^11 - 17645974/5492933*c_1001_5^10 - 1408237535/71408129*c_1001_5^9 - 5310158107/71408129*c_1001_5^8 - 13886337620/71408129*c_1001_5^7 - 25810413518/71408129*c_1001_5^6 - 34784458523/71408129*c_1001_5^5 - 33133928200/71408129*c_1001_5^4 - 21607484690/71408129*c_1001_5^3 - 8894191207/71408129*c_1001_5^2 - 2164660994/71408129*c_1001_5 - 239786944/71408129, c_0101_2 - c_1001_5 - 1, c_0101_5 + 41459364/71408129*c_1001_5^11 + 37404962/5492933*c_1001_5^10 + 2854525556/71408129*c_1001_5^9 + 10230921287/71408129*c_1001_5^8 + 25494473520/71408129*c_1001_5^7 + 44703916281/71408129*c_1001_5^6 + 56716279825/71408129*c_1001_5^5 + 49793133946/71408129*c_1001_5^4 + 29801769357/71408129*c_1001_5^3 + 10824275677/71408129*c_1001_5^2 + 2620283999/71408129*c_1001_5 + 247045593/71408129, c_0101_7 + 25514364/71408129*c_1001_5^11 + 23858043/5492933*c_1001_5^10 + 1879602526/71408129*c_1001_5^9 + 6985646689/71408129*c_1001_5^8 + 18009134361/71408129*c_1001_5^7 + 32859387007/71408129*c_1001_5^6 + 43308775043/71408129*c_1001_5^5 + 39892033026/71408129*c_1001_5^4 + 24829498717/71408129*c_1001_5^3 + 9492425841/71408129*c_1001_5^2 + 2144630663/71408129*c_1001_5 + 218712970/71408129, c_0101_9 - 50900624/71408129*c_1001_5^11 - 45946406/5492933*c_1001_5^10 - 3506857358/71408129*c_1001_5^9 - 12563311038/71408129*c_1001_5^8 - 31255930566/71408129*c_1001_5^7 - 54615214805/71408129*c_1001_5^6 - 68840321393/71408129*c_1001_5^5 - 59699176835/71408129*c_1001_5^4 - 35041140059/71408129*c_1001_5^3 - 12339947696/71408129*c_1001_5^2 - 3127901498/71408129*c_1001_5 - 284442007/71408129, c_1001_5^12 + 12*c_1001_5^11 + 72*c_1001_5^10 + 265*c_1001_5^9 + 679*c_1001_5^8 + 1234*c_1001_5^7 + 1632*c_1001_5^6 + 1521*c_1001_5^5 + 982*c_1001_5^4 + 404*c_1001_5^3 + 110*c_1001_5^2 + 16*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB