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{'algebraic': True, 'analytic_conductor': 137.76179623849777, 'bad_primes': [3, 7], 'central_character': '1.1', 'conductor': 441, 'conductor_radical': 21, 'degree': 2, 'dirichlet_coefficients': [1, 13, 0, 41, 0, 0, 0, -1131, 0, 0, -8684, 0, 0, 0, 0, -19951, 0, 0, 0, 0, 0, -112892, 67976, 0, -78125, 0, 0, 0, 253622, 0, 0, -114595, 0, 0, 0, 0, -278382, 0, 0, 0, 0, 0, 1014204, -356044, 0, 883688, 0, 0, 0, -1015625, 0, 0, 1804610, 0, 0, 0, 0, 3297086, 0, 0, 0, 0, 0, 1063993, 0, 0, -4863092, 0, 0, 0, 3721744, 0, 0, -3618966, 0, 0, 0, 0, 1101752, 0, 0, 0, 0, 0, 0, 13184652, 0, 9821604, 0, 0, 0, 2787016, 0, 0, 0, 0, 0, 0, 0, -3203125], 'euler11': [1, 8684, 19487171], 'euler13': [1, 0, 62748517], 'euler17': [1, 0, 410338673], 'euler19': [1, 0, 893871739], 'euler2': [1, -13, 128], 'euler23': [1, -67976, 3404825447], 'euler29': [1, -253622, 17249876309], 'euler3': [1, 0, 0], 'euler31': [1, 0, 27512614111], 'euler37': [1, 278382, 94931877133], 'euler41': [1, 0, 194754273881], 'euler43': [1, -1014204, 271818611107], 'euler47': [1, 0, 506623120463], 'euler5': [1, 0, 78125], 'euler53': [1, -1804610, 1174711139837], 'euler59': [1, 0, 2488651484819], 'euler61': [1, 0, 3142742836021], 'euler67': [1, 4863092, 6060711605323], 'euler7': [1, 0, 0], 'euler71': [1, -3721744, 9095120158391], 'euler73': [1, 0, 11047398519097], 'euler79': [1, -1101752, 19203908986159], 'euler83': [1, 0, 27136050989627], 'euler89': [1, 0, 44231334895529], 'euler97': [1, 0, 80798284478113], 'euler_factors': [[1, -13, 128], [1, 0, 0], [1, 0, 78125], [1, 0, 0], [1, 8684, 19487171], [1, 0, 62748517], [1, 0, 410338673], [1, 0, 893871739], [1, -67976, 3404825447], [1, -253622, 17249876309], [1, 0, 27512614111], [1, 278382, 94931877133], [1, 0, 194754273881], [1, -1014204, 271818611107], [1, 0, 506623120463], [1, -1804610, 1174711139837], [1, 0, 2488651484819], [1, 0, 3142742836021], [1, 4863092, 6060711605323], [1, -3721744, 9095120158391], [1, 0, 11047398519097], [1, -1101752, 19203908986159], [1, 0, 27136050989627], [1, 0, 44231334895529], [1, 0, 80798284478113]], 'id': 20540765, 'index': 30, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/441/8/a/f/1/1', 'ModularForm/GL2/Q/holomorphic/441/8/a/f'], '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': '2-21e2-1.1-c7-0-30', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-21e2-1.1-c7-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 11.737197120202836, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c7-0', 'trace_hash': 1033323457801319890, 'z1': {'__RealLiteral__': 0, 'data': '0.57918062571625166496922105297', 'prec': 103}}