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{'algebraic': True, 'analytic_conductor': 10.308705840976023, 'bad_primes': [3, 11], 'central_character': '1.1', 'conductor': 33, 'conductor_radical': 33, 'degree': 2, 'dirichlet_coefficients': [1, 10, 27, -28, -410, 270, -1028, -1560, 729, -4100, -1331, -756, 12958, -10280, -11070, -12016, 17062, 7290, -54168, 11480, -27756, -13310, -11488, -42120, 89975, 129580, 19683, 28784, -186654, -110700, -188672, 79520, -35937, 170620, 421480, -20412, 395886, -541680, 349866, 639600, -47546, -277560, 602088, 37268, -298890, -114880, -647200, -324432, 233241, 899750, 460674, -362824, -1312722, 196830, 545710, 1603680, -1462536, -1866540, -2681140, 309960, 551190, -1886720, -749412, 2333248, -5312780, -359370, 459260, -477736, -310176, 4214800, -18072, -1137240, -426062, 3958860, 2429325, 1516704, 1368268, 3498660, 297764, 4926560, 531441, -475460, 5684028, 777168, -6995420, 6020880, -5039658, 2076360, -6342966, -2988900, -13320824, 321664, -5094144, -6472000, 22208880, 2147040, 16651586, 2332410, -970299, -2519300], 'euler11': [1, 1331, 0], 'euler13': [1, -12958, 62748517], 'euler17': [1, -17062, 410338673], 'euler19': [1, 54168, 893871739], 'euler2': [1, -10, 128], 'euler23': [1, 11488, 3404825447], 'euler29': [1, 186654, 17249876309], 'euler3': [1, -27, 0], 'euler31': [1, 188672, 27512614111], 'euler37': [1, -395886, 94931877133], 'euler41': [1, 47546, 194754273881], 'euler43': [1, -602088, 271818611107], 'euler47': [1, 647200, 506623120463], 'euler5': [1, 410, 78125], 'euler53': [1, 1312722, 1174711139837], 'euler59': [1, 2681140, 2488651484819], 'euler61': [1, -551190, 3142742836021], 'euler67': [1, -459260, 6060711605323], 'euler7': [1, 1028, 823543], 'euler71': [1, 18072, 9095120158391], 'euler73': [1, 426062, 11047398519097], 'euler79': [1, -297764, 19203908986159], 'euler83': [1, -5684028, 27136050989627], 'euler89': [1, 6342966, 44231334895529], 'euler97': [1, -16651586, 80798284478113], 'euler_factors': [[1, -10, 128], [1, -27, 0], [1, 410, 78125], [1, 1028, 823543], [1, 1331, 0], [1, -12958, 62748517], [1, -17062, 410338673], [1, 54168, 893871739], [1, 11488, 3404825447], [1, 186654, 17249876309], [1, 188672, 27512614111], [1, -395886, 94931877133], [1, 47546, 194754273881], [1, -602088, 271818611107], [1, 647200, 506623120463], [1, 1312722, 1174711139837], [1, 2681140, 2488651484819], [1, -551190, 3142742836021], [1, -459260, 6060711605323], [1, 18072, 9095120158391], [1, 426062, 11047398519097], [1, -297764, 19203908986159], [1, -5684028, 27136050989627], [1, 6342966, 44231334895529], [1, -16651586, 80798284478113]], 'id': 11018413, 'index': 11, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/33/8/a/a/1/1', 'ModularForm/GL2/Q/holomorphic/33/8/a/a'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-33-1.1-c7-0-11', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 1, 'prelabel': '2-33-1.1-c7-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 3.210717340560521, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c7-0', 'trace_hash': 1943700674371573606, 'z1': {'__RealLiteral__': 0, 'data': '3.35700454486395836232459126376', 'prec': 103}}