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{'Lhash': '783505938484030328107227751469,927049468559207994813597415516,1651082834653088214062984270924,2048131334161901639496787576802', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': 20, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 775267.7653077003, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[3, [1]], [11, [1]]], 'bad_primes': [3, 11], 'central_character': '1089.1', 'coefficient_field': '1.1.1.1', 'conductor': 1406408618241, 'conductor_radical': 33, 'degree': 8, 'euler_factors': [[1, 0, 0, 0, 17, 0, 0, 0, 256], [1], [1, 0, -60, 0, 1775, 0, -37500, 0, 390625], [1, -20, 316, -3140, 26266, -153860, 758716, -2352980, 5764801], [1], [1, -68, 2290, -50048, 769339, -8458112, 65404690, -328223012, 815730721], [1, 0, -996, 0, 411671, 0, -83186916, 0, 6975757441], [1, 24, 580, 13896, 412134, 5016456, 75586180, 1129101144, 16983563041], [1, 0, -1320, 0, 857042, 0, -369390120, 0, 78310985281], [1, 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-
lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 775267.7653077003, 'bad_primes': [3, 11], 'central_character': '1.1', 'conductor': 1406408618241, 'conductor_radical': 33, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 68, 0, 0, -17, 0, 0, -24, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1360, 0, 0, 0, 0, 0, 176, 0, 0, 0], 'euler11': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler13': [1, -68, 2290, -50048, 769339, -8458112, 65404690, -328223012, 815730721], 'euler17': [1, 0, -996, 0, 411671, 0, -83186916, 0, 6975757441], 'euler19': [1, 24, 580, 13896, 412134, 5016456, 75586180, 1129101144, 16983563041], 'euler2': [1, 0, 0, 0, 17, 0, 0, 0, 256], 'euler23': [1, 0, -1320, 0, 857042, 0, -369390120, 0, 78310985281], 'euler29': [1, 0, -1324, 0, 1822431, 0, -936440044, 0, 500246412961], 'euler3': [1, 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'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2, 2, 2, 2], 'order_of_vanishing': 0, 'prelabel': '8-33e8-1.1-c2e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.447302156924686, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c2e4-0', 'trace_hash': 2070438177951985908, 'z1': {'__RealLiteral__': 0, 'data': '0.61807720387855055469328090350', 'prec': 103}}
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{'Lhash': '783505938484030328107227751469,927049468559207994813597415516,1651082834653088214062984270924,2048131334161901639496787576802', 'Lhash_array': ['783505938484030328107227751469', '927049468559207994813597415516', '1651082834653088214062984270924', '2048131334161901639496787576802'], 'label': '8-33e8-1.1-c2e4-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1089/3/b/d'}