{'Lhash': '2806653449465009054585701648334', 'a10': [29710.427269380467, 0.0], 'a2': [23.21979201645326, 0.0], 'a3': [0.0, 0.0], 'a4': [27.15874128734643, 0.0], 'a5': [1279.5302924474097, 0.0], 'a6': [0.0, 0.0], 'a7': [-2401.0, 0.0], 'a8': [-11257.913188303222, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 32.447257678324014, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 7}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [2401.0, 0]]]], 'bad_primes': [3, 7], 'central_character': '63.1', 'coefficient_field': 'CDF', 'conductor': 63, 'conductor_radical': 21, 'degree': 2, 'euler_factors': [[[1.0, 0], [-23.21979201645326, 0], [512.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1279.5302924474097, 0], [1953125.0, 0]], [[1.0, 0], [2401.0, 0]], [[1.0, 0], [50160.78505730657, 0], [2357947691.0, 0]], [[1.0, 0], [70448.95244772408, 0], [10604499373.0, 0]], [[1.0, 0], [26127.476274675297, 0], [118587876497.0, 0]], [[1.0, 0], [-925085.3440017658, 0], [322687697779.0, 0]], [[1.0, 0], [1415579.17625348, 0], [1801152661463.0, 0]], [[1.0, 0], [5981024.693451266, 0], [14507145975869.0, 0]], [[1.0, 0], [8143641.346478934, 0], [26439622160671.0, 0]], [[1.0, 0], [-3356506.59372851, 0], [129961739795077.0, 0]], [[1.0, 0], [-1700629.3948001193, 0], [327381934393961.0, 0]], [[1.0, 0], [37249607.17533945, 0], [502592611936843.0, 0]], [[1.0, 0], [-39983835.346279666, 0], [1119130473102767.0, 0]], [[1.0, 0], [-9716296.149019977, 0], [3299763591802133.0, 0]], [[1.0, 0], [-108145814.37797765, 0], [8662995818654939.0, 0]], [[1.0, 0], [48640450.64621706, 0], [11694146092834140, 0]], [[1.0, 0], [34514916.57698571, 0], [27206534396294948, 0]], [[1.0, 0], [64976006.3946331, 0], [45848500718449030, 0]], [[1.0, 0], [134365101.6259859, 0], [58871586708267910, 0]], [[1.0, 0], [-422501998.4347427, 0], [119851595982618320, 0]], [[1.0, 0], [-111555259.81487447, 0], [186940255267540400, 0]], [[1.0, 0], [257565159.15314236, 0], [350356403707485200, 0]], [[1.0, 0], [-263076017.63728747, 0], [760231058654565200, 0]], [[1.0, 0], [-1362651427.1947966, 0], [1093685272684361000, 0]], [[1.0, 0], [-1110698334.6620831, 0], [1304773183829244700, 0]], [[1.0, 0], [-2369484080.0418224, 0], [1838459212420154600, 0]], [[1.0, 0], [159392960.46502012, 0], [2171893279442309400, 0]], [[1.0, 0], [915034271.9792619, 0], [3004041937984268300, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 20305080, 'index': 20, 'label': '2-63-1.1-c9-0-20', 'load_key': 'CMFs-workshop', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [9], 'order_of_vanishing': 1, 'origin': 'ModularForm/GL2/Q/holomorphic/63/10/a/g/1/3', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.07421875', 'prec': 24}, 'plot_values': [-2.3311998638550136e-60, 0.3837787549346835, 0.7626676412431486, 1.1318438827335924, 1.486618110689244, 1.822499127350904, 2.1352563503253963, 2.420979180841728, 2.6761325535413265, 2.8976079452614414, 3.0827691458480433, 3.229492126292866, 3.3361983793444523, 3.4018811561060476, 3.426124079860996, 3.4091116862124227, 3.3516315171865405, 3.2550674866203297, 3.1213843350720634, 2.9531031044948888, 2.753267685496672, 2.525402622297116, 2.273462501210148, 2.0017733959351496, 1.7149669950249, 1.417908191089166, 1.11561706467817, 0.8131863451010088, 0.5156955720956501, 0.2281233124621841, -0.04474109948136526, -0.29838473351391764, -0.5286555113629057, -0.7318422506237996, -0.9047486112374981, -1.0447592718676033, -1.1498967212324103, -1.2188671460232448, -1.2510940336948788, -1.2467382854515834, -1.2067038514704393, -1.1326281550037254, -1.026856861529893, -0.892402869432123, -0.7328897444345035, -0.552480184714964, -0.35579047964310445, -0.14779230387510903, 0.06629643934653584, 0.2811296564682664, 0.49135758612531544, 0.6917551182919184, 0.8773509807255553, 1.0435546801013642, 1.1862779698350425, 1.3020475772409443, 1.3881059661038562, 1.442497041907909, 1.464133928722618, 1.4528462595930565, 1.4094048241380694, 1.3355219031071717, 1.2338261822343004, 1.107811766368069, 0.9617614963081531, 0.8006454892054157, 0.6299965606443557, 0.45576492252889383, 0.28415526406067615, 0.12144999092284667, -0.026177002555530956, -0.15285114441191885, -0.25318729823730873, -0.3224736317121827, -0.3568435759596647, -0.35343025498553576, -0.3104979790929901, -0.2275457862098974, -0.10537857996156019, 0.053857853099787294, 0.24668077439281405, 0.4683151703773904, 0.7127798291448866, 0.973014238522675, 1.2410444432434058, 1.508184698752992, 1.7652704843044429, 2.0029172305722316, 2.211798020174733, 2.3829325754349955, 2.50797909635139, 2.579519989163039, 2.591332262821987, 2.538633391115409, 2.418293758072165, 2.2290074304661687, 1.9714139305467961, 1.6481649009090906, 1.263931037246443, 0.82534637860032, 0.3408889435879043, -0.17930126919499767, -0.7236637997332204, -1.279513547584356, -1.8333836500520904, -2.371406288126797, -2.879720623917774, -3.3448956929275195, -3.754355043543878, -4.096789288523025, -4.362542551535912, -4.543959084909125, -4.635677115828062, -4.634858243876478, -4.541342441482034, -4.357720861253024, -4.0893211734179955, -3.744102969315731, -3.3324637852748515, -2.8669594253759207, -2.361945382689545, -1.833149162544436, -1.297186082902994, -0.7710335538452674, -0.2714808159220858, 0.18542744680770532, 0.5849343852201331, 0.9140817775525808, 1.1621695221416115, 1.3211462955799629, 1.3859158153922237, 1.3545457680185387, 1.2283696575335679, 1.0119754977860742, 0.7130792873982919, 0.34228543124237626, -0.08725945258468683, -0.5603087393202406, -1.060039535069772, -1.5686400239500826, -2.067939658603378, -2.5400593100794047, -2.968057211371959, -3.3365461624058708, -3.63225805782962, -3.844533359739696, -3.9657156330528456, -3.991434619406686, -3.9207654355004884, -3.756256197616267, -3.5038215190129858, -3.172504699983431, -2.774116813944408, -2.3227660613499927, -1.834295492264248, -1.3256512751023593, -0.8142069212577648, -0.317071101098015, 0.14959221747745569, 0.571202689409718, 0.9353343022544577, 1.232193165431233, 1.454981359155609, 1.6001305109961905, 1.667394271594963, 1.6597949564293033, 1.583426049702448, 1.4471187484181254, 1.261986967103168, 1.0408709359777013, 0.7977044323966399, 0.5468345404222908, 0.3023254308089054, 0.07727883996668101, -0.11679639074206102, -0.27053519943869847, -0.3771604230494683, -0.43279765334947035, -0.4366441993065919, -0.39098232157941504, -0.30103432905631045, -0.17466483868112362, -0.021943133435630684, 0.1454142636438192, 0.31469431202224735, 0.4728997642010344, 0.6074875721618709, 0.7070957800808078, 0.7622209955672428, 0.7658101217271611, 0.713733487938238, 0.6051117223120248, 0.44247545635255425, 0.2317449513081102, -0.017974377236293245, -0.29477520502803517, -0.5844956185871548, -0.871406910724414, -1.1390102834793898, -1.370904284277023, -1.5516799416830294, -1.6677977587481558, -1.7084001753918712, -1.6660149291697324, -1.5371089112781424, -1.3224584960799055, -1.0273106638162435, -0.66131917406731, -0.23825112381132496, 0.2245290939506944, 0.7067797092322652, 1.1862755238418565, 1.6398360895195976, 2.0444400897611708, 2.378371884326771, 2.6223427544212177, 2.760528822306062, 2.781470034242454, 2.678779961563603, 2.451624307816262, 2.104936576136975, 1.6493518779464242, 1.1008537611662073, 0.4801435220206795, -0.18824400046396533, -0.8770404243998723, -1.557509725988438, -2.2008202140411064, -2.779455639846756, -3.2685946722991157, -3.647387711510155, -3.9000634485992753, -4.016804628799685, -3.9943428692477543, -3.836235666034677, -3.552804274722933, -3.160728203580754, -2.6823097566711755, -2.1444394839007037, -1.5773096062582286, -1.0129365956554897, -0.4835652980985641, -0.020034629619234447, 0.3498115451673666, 0.6025855068360605, 0.7206110695528599, 0.6929049765911165, 0.5158292155269538, 0.19337554599668302, -0.26293772380384955, -0.8345565340278953, -1.496748787999854, -2.2197886197044205, -2.9704089920464143, -3.713449406335539, -4.41361423362261, -5.0372503167136085], 'positive_zeros': ['2.21405918078664235466498833585429', '3.53963090253173010913005957530500', '5.18143759085378379618229117588083', '5.83995432791843067297267762527142', '7.47098388556840539940239819378380', '9.246220615158331603111484386811084', '10.07934714815341447395796600528379', '11.70208669901395280478358502607965', '12.86779379678245679782379893156919'], 'prelabel': '2-63-1.1-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.696249439615861, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c9-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.21405918078664235466498833585', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.53963090253173010913005957530', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '5.18143759085378379618229117588', 'prec': 100}}