{'Lhash': '1539662197861571629542128777363', 'a10': [-1.6234898018587336, 2.811966822389256], 'a2': [-1.1234898018587336, 1.9459414186048174], 'a3': [0.2774790660436856, -0.48060784042442345], 'a4': [-1.5244586697611526, -2.640439870065181], 'a5': [1.445041867912629, 0.0], 'a6': [0.6234898018587335, 1.0799160148203788], 'a7': [1.0244586697611526, 1.7744144662807422], 'a8': [2.3568958678922094, 0.0], 'a9': [1.346010735815048, 2.3313589819648324], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.3494717941596392, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[13, [[1.0, 0], [0, 0]]]], 'bad_primes': [13], 'central_character': '169.22', 'coefficient_field': 'CDF', 'conductor': 169, 'conductor_radical': 13, 'conjugate': '2671363876551688519151438270181', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.1234898018587336, -1.9459414186048174], [-1.0, -1.7320508075688772]], [[1.0, 0], [-0.2774790660436856, 0.48060784042442345], [-1.5, -2.598076211353316]], [[1.0, 0], [-1.445041867912629, 0], [5.0, 0]], [[1.0, 0], [-1.0244586697611526, -1.7744144662807422], [-3.5, 6.06217782649107]], [[1.0, 0], [1.2774790660436857, -2.2126586479933006], [-5.5, -9.526279441628825]], [[1.0, 0], [0, 0]], [[1.0, 0], [-2.6479484716198862, -4.586381288669998], [-8.5, 14.722431864335457]], [[1.0, 0], [2.925427537663572, 5.066989129094422], [-9.5, 16.454482671904334]], [[1.0, 0], [-0.9450418679126288, 1.636860530504469], [-11.5, -19.91858428704209]], [[1.0, 0], [1.134374933935895, -1.9647950204095588], [-14.5, -25.11473670974872]], [[1.0, 0], [-4.26874986787179, 0], [31.0, 0]], [[1.0, 0], [-2.6784479339461047, 4.639207907022541], [-18.5, -32.04293994002423]], [[1.0, 0], [-0.6370633395427246, 1.1034260717275022], [-20.5, -35.50704155516198]], [[1.0, 0], [3.0685316697713625, 5.314852756678164], [-21.5, 37.239092362730865]], [[1.0, 0], [-2.9510826604776947, 0], [47.0, 0]], [[1.0, 0], [-5.521106282802917, 0], [53.0, 0]], [[1.0, 0], [6.103875471609676, 10.572222439901402], [-29.5, 51.09549882328188]], [[1.0, 0], [4.282323405555781, 7.417201712863996], [-30.5, 52.827549630850754]], [[1.0, 0], [-0.2883641981208471, 0.49946144222916494], [-33.5, -58.023702053557386]], [[1.0, 0], [2.2970933962927425, 3.97868247210998], [-35.5, 61.48780366869514]], [[1.0, 0], [-10.55256522598143, 0], [73.0, 0]], [[1.0, 0], [15.777774565544576, 0], [79.0, 0]], [[1.0, 0], [7.72348041480861, 0], [83.0, 0]], [[1.0, 0], [-3.3067820753169337, 5.7275145640069836], [-44.5, -77.07626093681505]], [[1.0, 0], [-5.9634597451087155, -10.329015267420042], [-48.5, 84.00446416709055]], [[1.0, 0], [6.5319914148800775, -11.313741005176013], [-50.5, -87.4685657822283]], [[1.0, 0], [-9.16852228272124, 0], [103.0, 0]], [[1.0, 0], [-3.4498862074247243, 5.975378191590726], [-53.5, -92.66471820493493]], [[1.0, 0], [0.12199784930487415, 0], [109.0, 0]], [[1.0, 0], [3.653989264184952, 6.328895055879554], [-56.5, 97.86087062764156]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 9634797, 'index': 1, 'label': '2-13e2-13.9-c1-0-1', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/169/2/c/b/22/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [0.8815613948987072, 0.8129822488612649, 0.7485871600285102, 0.6843551516692414, 0.6159845018892827, 0.5394386031867878, 0.4513854756166516, 0.349525892191906, 0.23283531440858712, 0.10174451530332371, -0.04173173082106702, -0.19392528606654863, -0.34952353902128686, -0.5016804193324645, -0.6422524368682125, -0.7621767295746649, -0.8519980577964439, -0.902538228367414, -0.9056853968134027, -0.8552631730642225, -0.7479218804057816, -0.5839784594053161, -0.36811938683574436, -0.10987470348228741, 0.17622720240700052, 0.4709034279539495, 0.7508170276698592, 0.9897604149248707, 1.16030698879669, 1.2358684134794637, 1.1930438914753776, 1.014098248706414, 0.6893632779275766, 0.21932748341333957, -0.38383124074814623, -1.0955027673936415, -1.8788856173352795, -2.686339944131125, -3.461891343537943, -4.144816067168564, -4.674120352999301, -4.993610352987296, -5.057147601865336, -4.833611621780813, -4.311058464622349, -3.4995813302168473, -2.4324520311009694, -1.1652494452514308, 0.22714388530813104, 1.6555869240514927, 3.0234538055149303, 4.2346092612506006, 5.201881251336923, 5.855208948140889, 6.14860799552866, 6.065152880135141, 5.619331252249338, 4.856368328787013, 3.8484302770315475, 2.687962151643205, 1.4787591302580008, 0.32566652657794604, -0.6759867971692547, -1.4500291100230518, -1.9470223032858378, -2.148836157652315, -2.0696133391380753, -1.7529455816786437, -1.2655553169653178, -0.6882364470600633, -0.10518953977616363, 0.4068670317478355, 0.788360281102506, 1.003980657812927, 1.046257419078403, 0.9350721929947828, 0.7131656668504064, 0.43828272714271427, 0.17312076861115816, -0.025388329123174354, -0.11578464013672433, -0.079203472256722, 0.07729781628714881, 0.32185429800337306, 0.6032935213431271, 0.8602375228883147, 1.0323846926690223, 1.072110607477904, 0.9543734573250054, 0.6830860406219, 0.2926153899254862, -0.15616881640530808, -0.5849651795284818, -0.9109819301376585, -1.0617329448112383, -0.9891990023428414, -0.6807882424439006, -0.16489393471007924, 0.4903763941848398, 1.1856412775916967, 1.8049659649255223, 2.234802416588748, 2.384182607456378, 2.202739850854546, 1.6932345594098386, 0.9159496407188733, -0.016478093606409932, -0.9536808590092092, -1.7298855801388477, -2.190729312112969, -2.220338826624557, -1.7640942427937532, -0.8429085531664129, 0.44398536748188683, 1.9289929375189427, 3.3980292050333762, 4.621400344100607, 5.389097174089584, 5.544901406152613, 5.013612512580387, 3.8165844337509607, 2.072513281449307, -0.017224133254205024, -2.1968013063410883, -4.193505985304415, -5.758691206773236, -6.705433434102085, -6.936624252834393, -6.458735009457036, -5.37887699287894, -3.8856301833738898, -2.2169293650152326, -0.6205665740093324, 0.6858313230054968, 1.548417446159217, 1.898585108378008, 1.7587681333268623, 1.2319671091275635, 0.47738953220772673, -0.3228642026756735, -0.9995411481104283, -1.4275399706001377, -1.5469132012226625, -1.369838425530989, -0.97268483308584, -0.4753060920631045, -0.012237475306217075, 0.2979554451613677, 0.37866216073677467, 0.2111260031816838, -0.16293504048001775, -0.6522792717106303, -1.1380070157528068, -1.5013151278310028, -1.6508455844182803, -1.5434528291012033, -1.1937104159882226, -0.6700343857580078, -0.07836095688467926, 0.4628032792230566, 0.8500983017583059, 1.0192168551137322, 0.9592271716433697, 0.7137224160007264, 0.36830041599644076, 0.027186186271769733, -0.2154375119241238, -0.3023035490362119, -0.23117226758759135, -0.05903280535587138, 0.10959179493652293, 0.1483932182313289, -0.05638028103717374, -0.5709830662503641, -1.3874064404269792, -2.4122911687566653, -3.4758651893673496, -4.360829409274053, -4.846373566474824, -4.7585307303099915, -4.015847371195743, -2.6594886899333305, -0.8595412917279573, 1.106022948293217, 2.897433826694949, 4.176273036192062, 4.673414596479629, 4.247651091436302, 2.92206616834648, 0.8892707649512467, -1.517187574720344, -3.8808752832461506, -5.779209494008341, -6.8637835554628435, -6.927965177590126, -5.947702820235288, -4.08680345280944, -1.6652576944560984, 0.9030735202188909, 3.190623039451368, 4.837575986107286, 5.617861476507569, 5.476346775403728, 4.5302228748318605, 3.035375471494121, 1.3260768821326767, -0.25808140300782995, -1.4417163602853353, -2.0646755335100213, -2.104281553316203, -1.6654479209685262, -0.9428159276584138, -0.16537363247999928, 0.4623314198279411, 0.8081014259273949, 0.8381100370047265, 0.6158806709204445, 0.27600701243597114, -0.019311720844456044, -0.12877546134427362, 0.027488599666218493, 0.4458935836539998, 1.0412029113142751, 1.67105851451103, 2.176038594013326, 2.4239905633970205, 2.346382242960871, 1.956729485682832, 1.346163736485871, 0.6575480939142676, 0.04551457092401074, -0.36625581623228365, -0.5183611041945204, -0.4300297910432385, -0.19021089787165077, 0.07226916996578372, 0.23104907235911196, 0.20476981043814482, -0.012974707634933589, -0.34588731402080763, -0.6529734282364125, -0.7685027505324169, -0.5534895737748412, 0.055757490941159546, 1.0165913226686951, 2.177061477225823, 3.3043676204434163, 4.139434992778922, 4.464596080686961, 4.166744298835695, 3.2782598461405077, 1.982779702682235, 0.5814755661718057, -0.5741923593894873, -1.1679424462534782, -1.001248146175374, -0.051372800806311604], 'positive_zeros': ['1.21457931513965198247650443666470', '2.92403365456373249923848739359210', '4.17350699102445290711291341778714', '5.98004456164209953798977206939694', '7.66314262783182347160004044771126', '8.773825595905640774039793309035941', '9.854957865324813564497159491175945', '10.19863433196619759390761616130540', '11.33204111691160329989223093198422', '12.15836106979494755575747082312913'], 'prelabel': '2-13e2-13.9-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.1616676780214035, 'root_angle': -0.32149529687780404, 'root_number': '-0.4342614306970879 - 0.9007868836794407*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.321495296878', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.21457931513965198247650443666', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.92403365456373249923848739359', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.17350699102445290711291341779', 'prec': 103}}
