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{'Lhash': '1665572168243957733631718583101,2040151286721258845132277604618,2563281990870072259241711026554,2870226636085928207948038401458', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 8, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.267744865025342, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1]], [5, [1, 0, 8, 0, 25]]], 'bad_primes': [2, 3, 5], 'central_character': '180.1', 'coefficient_field': '1.1.1.1', 'conductor': 1049760000, 'conductor_radical': 30, 'degree': 8, 'euler_factors': [[1], [1], [1, 0, 8, 0, 25], [1, -8, 32, -120, 386, -840, 1568, -2744, 2401], [1, 0, -28, 0, 438, 0, -3388, 0, 14641], [1, -12, 72, -372, 1598, -4836, 12168, -26364, 28561], [1, 0, 0, 0, 322, 0, 0, 0, 83521], [1, 0, -44, 0, 1206, 0, -15884, 0, 130321], [1, 0, 0, 0, -734, 0, 0, 0, 279841], [1, 0, -80, 0, 3282, 0, -67280, 0, 707281], [1, 32, 508, 5024, 33670, 155744, 488188, 953312, 923521], 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{'algebraic': True, 'analytic_conductor': 4.267744865025342, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 1049760000, 'conductor_radical': 30, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 12, 0, 0, 0], 'euler11': [1, 0, -28, 0, 438, 0, -3388, 0, 14641], 'euler13': [1, -12, 72, -372, 1598, -4836, 12168, -26364, 28561], 'euler17': [1, 0, 0, 0, 322, 0, 0, 0, 83521], 'euler19': [1, 0, -44, 0, 1206, 0, -15884, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, 0, 0, -734, 0, 0, 0, 279841], 'euler29': [1, 0, -80, 0, 3282, 0, -67280, 0, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 32, 508, 5024, 33670, 155744, 488188, 953312, 923521], 'euler37': [1, 12, 72, 660, 5726, 24420, 98568, 607836, 1874161], 'euler41': [1, 0, -160, 0, 9762, 0, -268960, 0, 2825761], 'euler43': [1, 0, 0, 0, 3698, 0, 0, 0, 3418801], 'euler47': [1, 0, 0, 0, -1918, 0, 0, 0, 4879681], 'euler5': [1, 0, 8, 0, 25, 0, 0, 0, 0], 'euler53': [1, 0, 0, 0, -5582, 0, 0, 0, 7890481], 'euler59': [1, 0, 220, 0, 19062, 0, 765820, 0, 12117361], 'euler61': [1, 0, 244, 0, 22326, 0, 907924, 0, 13845841], 'euler67': [1, -32, 512, -6240, 59666, -418080, 2298368, -9624416, 20151121], 'euler7': [1, -8, 32, -120, 386, -840, 1568, -2744, 2401], 'euler71': [1, 0, -220, 0, 22182, 0, -1109020, 0, 25411681], 'euler73': [1, -28, 392, -4788, 48878, -349524, 2088968, -10892476, 28398241], 'euler79': [1, 0, -316, 0, 37446, 0, -1972156, 0, 38950081], 'euler83': [1, 0, 0, 0, -13294, 0, 0, 0, 47458321], 'euler89': [1, 0, 352, 0, 46818, 0, 2788192, 0, 62742241], 'euler97': [1, -12, 72, -1380, 26126, -133860, 677448, -10952076, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 8, 0, 25, 0, 0, 0, 0], [1, -8, 32, -120, 386, -840, 1568, -2744, 2401], [1, 0, -28, 0, 438, 0, -3388, 0, 14641], [1, -12, 72, -372, 1598, -4836, 12168, -26364, 28561], [1, 0, 0, 0, 322, 0, 0, 0, 83521], [1, 0, -44, 0, 1206, 0, -15884, 0, 130321], [1, 0, 0, 0, -734, 0, 0, 0, 279841], [1, 0, -80, 0, 3282, 0, -67280, 0, 707281], [1, 32, 508, 5024, 33670, 155744, 488188, 953312, 923521], [1, 12, 72, 660, 5726, 24420, 98568, 607836, 1874161], [1, 0, -160, 0, 9762, 0, -268960, 0, 2825761], [1, 0, 0, 0, 3698, 0, 0, 0, 3418801], [1, 0, 0, 0, -1918, 0, 0, 0, 4879681], [1, 0, 0, 0, -5582, 0, 0, 0, 7890481], [1, 0, 220, 0, 19062, 0, 765820, 0, 12117361], [1, 0, 244, 0, 22326, 0, 907924, 0, 13845841], [1, -32, 512, -6240, 59666, -418080, 2298368, -9624416, 20151121], [1, 0, -220, 0, 22182, 0, -1109020, 0, 25411681], [1, -28, 392, -4788, 48878, -349524, 2088968, -10892476, 28398241], [1, 0, -316, 0, 37446, 0, -1972156, 0, 38950081], [1, 0, 0, 0, -13294, 0, 0, 0, 47458321], [1, 0, 352, 0, 46818, 0, 2788192, 0, 62742241], [1, -12, 72, -1380, 26126, -133860, 677448, -10952076, 88529281]], 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/180/2/j/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': '8-180e4-1.1-c1e4-0-2', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '8-180e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.198877490147783, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1876804174302536674, 'z1': {'__RealLiteral__': 0, 'data': '1.31390476835185187048159087643', 'prec': 103}}
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{'Lhash': '1665572168243957733631718583101,2040151286721258845132277604618,2563281990870072259241711026554,2870226636085928207948038401458', 'Lhash_array': ['1665572168243957733631718583101', '2040151286721258845132277604618', '2563281990870072259241711026554', '2870226636085928207948038401458'], 'factors': ['2-180-15.2-c1-0-0', '2-180-15.8-c1-0-0', '2-180-15.2-c1-0-1', '2-180-15.8-c1-0-1'], 'label': '8-180e4-1.1-c1e4-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/180/2/j/a'}