Magma V2.19-8 Wed Aug 21 2013 00:51:33 on localhost [Seed = 3153964749] Type ? for help. Type -D to quit. Loading file "L11n152__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n152 geometric_solution 12.08089115 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 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 0 0 0 0 0 1 0 -1 1 0 0 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453362487759 1.077950552968 0 4 6 5 0132 0132 0132 0132 1 0 0 1 0 0 0 0 -1 0 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 -1 0 0 1 0 0 0 0 1 -5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537177947592 0.402054406885 0 0 7 4 3012 0132 0132 0132 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 1 0 0 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374206782323 0.737923027412 8 9 6 0 0132 0132 3120 0132 1 0 0 1 0 0 0 0 -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 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 0.208468356763 0.573783219915 6 1 2 10 0321 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 0 -1 1 0 0 1 -1 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806822458297 0.893041665222 8 7 1 10 2103 0213 0132 0213 1 0 1 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 -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 0.516443057615 1.301434061973 4 11 3 1 0321 0132 3120 0132 1 0 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806822458297 0.893041665222 12 9 5 2 0132 0213 0213 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404074510454 1.428009442374 3 11 5 12 0132 2031 2103 3201 1 0 1 0 0 0 0 0 1 0 0 -1 0 -1 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 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451699936461 0.678018846482 10 3 7 12 0132 0132 0213 1302 1 1 1 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 5 0 0 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.928072716804 0.943159073910 9 11 4 5 0132 0213 0132 0213 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 1 0 1 0 0 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.245825478149 0.906739885557 8 6 10 12 1302 0132 0213 0213 1 0 1 1 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 0 -1 1 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.924739900033 0.613677713627 7 8 9 11 0132 2310 2031 0213 1 1 0 1 0 -1 1 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 -4 5 -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 0.218224464825 0.428692648646 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_0']), 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_12'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_5'], 'c_1010_12' : negation(d['c_0101_3']), 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : negation(d['c_0101_3']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], '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_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' : 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_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1010_5'], 'c_1100_7' : d['c_1010_5'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_1010_5'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_1010_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_12'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0011_11'], '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'], 'c_1100_12' : negation(d['c_1001_3']), '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_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_5']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : d['c_0011_5'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0011_12'])})} 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_5, c_0101_0, c_0101_12, c_0101_3, c_0101_4, c_1001_0, c_1001_1, c_1001_3, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 253053705443881011/1729498141876544*c_1010_5^12 - 697573370170794881/2594247212814816*c_1010_5^11 - 271380305657698657/133038318605888*c_1010_5^10 - 9853333433814217651/2594247212814816*c_1010_5^9 - 1262428166150006127/133038318605888*c_1010_5^8 - 32184348003654705517/2594247212814816*c_1010_5^7 - 4022679609487750927/324280901601852*c_1010_5^6 + 79260213057441736033/5188494425629632*c_1010_5^5 + 42656964199641241685/2594247212814816*c_1010_5^4 + 39951606479358269039/864749070938272*c_1010_5^3 + 13002141953038791619/399114955817664*c_1010_5^2 + 40531209856738448623/5188494425629632*c_1010_5 + 6719741331838824893/1729498141876544, c_0011_0 - 1, c_0011_10 - 108222296394/2078723728217*c_1010_5^12 - 314819772061/6236171184651*c_1010_5^11 - 4176608898217/6236171184651*c_1010_5^10 - 4720101416864/6236171184651*c_1010_5^9 - 15981240471746/6236171184651*c_1010_5^8 - 12459780140762/6236171184651*c_1010_5^7 - 4312632286992/2078723728217*c_1010_5^6 + 16112733801500/2078723728217*c_1010_5^5 - 2281303629046/6236171184651*c_1010_5^4 + 94814483955088/6236171184651*c_1010_5^3 - 7946546663036/6236171184651*c_1010_5^2 + 12011402190185/6236171184651*c_1010_5 + 4933075107733/6236171184651, c_0011_11 + 72235231120/2078723728217*c_1010_5^12 + 24834096734/6236171184651*c_1010_5^11 + 873751998935/2078723728217*c_1010_5^10 + 818238127573/6236171184651*c_1010_5^9 + 2720781549924/2078723728217*c_1010_5^8 - 224724735347/6236171184651*c_1010_5^7 + 2633732569541/6236171184651*c_1010_5^6 - 38081406457793/6236171184651*c_1010_5^5 + 31069942754332/6236171184651*c_1010_5^4 - 21553735399991/2078723728217*c_1010_5^3 + 56695911712285/6236171184651*c_1010_5^2 - 8574615866594/6236171184651*c_1010_5 + 397611970802/2078723728217, c_0011_12 + 225048577730/6236171184651*c_1010_5^12 + 103176692499/2078723728217*c_1010_5^11 + 3014133898562/6236171184651*c_1010_5^10 + 1477532490577/2078723728217*c_1010_5^9 + 4245464538545/2078723728217*c_1010_5^8 + 12955447168313/6236171184651*c_1010_5^7 + 4406107513997/2078723728217*c_1010_5^6 - 31350770019040/6236171184651*c_1010_5^5 - 12469658951392/6236171184651*c_1010_5^4 - 23740717938073/2078723728217*c_1010_5^3 - 12791775031325/6236171184651*c_1010_5^2 - 10286630094361/6236171184651*c_1010_5 + 3854172196547/6236171184651, c_0011_5 - 423839845415/6236171184651*c_1010_5^12 - 131225895861/2078723728217*c_1010_5^11 - 5482222557403/6236171184651*c_1010_5^10 - 1976652998107/2078723728217*c_1010_5^9 - 21176835610390/6236171184651*c_1010_5^8 - 15505830153245/6236171184651*c_1010_5^7 - 18117355557751/6236171184651*c_1010_5^6 + 63464358631544/6236171184651*c_1010_5^5 - 2728712492436/2078723728217*c_1010_5^4 + 127929729978452/6236171184651*c_1010_5^3 - 31550460260506/6236171184651*c_1010_5^2 + 5855497589469/2078723728217*c_1010_5 - 1698440633914/2078723728217, c_0101_0 - 1, c_0101_12 - 24613754/238595523*c_1010_5^12 - 27926272/238595523*c_1010_5^11 - 322092395/238595523*c_1010_5^10 - 411399974/238595523*c_1010_5^9 - 429677890/79531841*c_1010_5^8 - 1161480334/238595523*c_1010_5^7 - 1200638569/238595523*c_1010_5^6 + 3480757784/238595523*c_1010_5^5 + 416028860/238595523*c_1010_5^4 + 2442501168/79531841*c_1010_5^3 + 155973803/79531841*c_1010_5^2 + 622613588/238595523*c_1010_5 + 76434022/238595523, c_0101_3 - 97457248441/6236171184651*c_1010_5^12 - 249889209997/6236171184651*c_1010_5^11 - 480999727961/2078723728217*c_1010_5^10 - 3489391395089/6236171184651*c_1010_5^9 - 7554393350407/6236171184651*c_1010_5^8 - 4125738476771/2078723728217*c_1010_5^7 - 11991669904097/6236171184651*c_1010_5^6 + 5596393573048/6236171184651*c_1010_5^5 + 20005994919626/6236171184651*c_1010_5^4 + 32789024328386/6236171184651*c_1010_5^3 + 45316768367051/6236171184651*c_1010_5^2 + 6237275665067/6236171184651*c_1010_5 + 5847468197860/6236171184651, c_0101_4 - 594186232646/6236171184651*c_1010_5^12 - 510419128381/6236171184651*c_1010_5^11 - 7662922563841/6236171184651*c_1010_5^10 - 7834909279220/6236171184651*c_1010_5^9 - 29280206509639/6236171184651*c_1010_5^8 - 20239358908777/6236171184651*c_1010_5^7 - 24386962562429/6236171184651*c_1010_5^6 + 30040124045182/2078723728217*c_1010_5^5 - 15438263000618/6236171184651*c_1010_5^4 + 183831474089150/6236171184651*c_1010_5^3 - 14114936313687/2078723728217*c_1010_5^2 + 24708714158815/6236171184651*c_1010_5 - 1714821785798/2078723728217, c_1001_0 + 16381151884/2078723728217*c_1010_5^12 + 73163280961/2078723728217*c_1010_5^11 + 755606364274/6236171184651*c_1010_5^10 + 972617280406/2078723728217*c_1010_5^9 + 4411266523151/6236171184651*c_1010_5^8 + 3372750860327/2078723728217*c_1010_5^7 + 6994127715524/6236171184651*c_1010_5^6 - 856194064862/6236171184651*c_1010_5^5 - 26312009314438/6236171184651*c_1010_5^4 - 7687484994898/6236171184651*c_1010_5^3 - 18191623602698/2078723728217*c_1010_5^2 + 8435462809259/6236171184651*c_1010_5 - 7142221390408/6236171184651, c_1001_1 + 48313792789/6236171184651*c_1010_5^12 + 30399367114/6236171184651*c_1010_5^11 + 687392819609/6236171184651*c_1010_5^10 + 571539553871/6236171184651*c_1010_5^9 + 3143126827256/6236171184651*c_1010_5^8 + 752987616444/2078723728217*c_1010_5^7 + 1665847396191/2078723728217*c_1010_5^6 - 4740199508186/6236171184651*c_1010_5^5 + 6306014394812/6236171184651*c_1010_5^4 - 25101539333488/6236171184651*c_1010_5^3 + 9258102441043/6236171184651*c_1010_5^2 - 14672738474326/6236171184651*c_1010_5 + 431584397516/2078723728217, c_1001_3 - 327681712454/6236171184651*c_1010_5^12 - 133578799897/2078723728217*c_1010_5^11 - 4330756837048/6236171184651*c_1010_5^10 - 1941352223744/2078723728217*c_1010_5^9 - 17736372415504/6236171184651*c_1010_5^8 - 16701220652717/6236171184651*c_1010_5^7 - 17489557436005/6236171184651*c_1010_5^6 + 44916709963325/6236171184651*c_1010_5^5 + 2684482571057/2078723728217*c_1010_5^4 + 95084995343441/6236171184651*c_1010_5^3 + 240151142090/6236171184651*c_1010_5^2 + 3257901095249/2078723728217*c_1010_5 + 146119124137/2078723728217, c_1010_5^13 + c_1010_5^12 + 13*c_1010_5^11 + 15*c_1010_5^10 + 51*c_1010_5^9 + 41*c_1010_5^8 + 46*c_1010_5^7 - 145*c_1010_5^6 + 7*c_1010_5^5 - 304*c_1010_5^4 + 27*c_1010_5^3 - 48*c_1010_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB