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lfunc_lfunctions • Show schema
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{'Lhash': '1255058311411900967924563270085', 'a10': [-0.27590351949164993, 0.30334508550179523], 'a2': [1.0462010636713093, 0.9515583715006773], 'a3': [-1.0865191636997846, 1.348879574651911], 'a4': [0.18907333125395775, 1.991042760818695], 'a5': [0.0, 0.2899491274051111], 'a6': [-2.420255156168275, 0.3773128397508877], 'a7': [0.0, 1.6234720510642948], 'a8': [-1.6967846868030818, 2.262945365365803], 'a9': [-0.6389522138262413, -2.9311670147650313], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.2038710957873398, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0462010636713093, -0.9515583715006773]]], [3, [[1.0, 0], [1.0865191636997846, -1.348879574651911]]], [23, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 3, 23], 'central_character': '276.47', 'coefficient_field': 'CDF', 'conductor': 276, 'conductor_radical': 138, 'conjugate': '3743265464734934926610715551386', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.2038710957873398, 'bad_primes': [2, 3, 23], 'central_character': '12.11', 'conductor': 276, 'conductor_radical': 138, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/276/2/c/a/47/18'], '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': '2-276-12.11-c1-0-9', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-276-12.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.484544070005111, 'root_angle': -0.4071480408242445, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.990066435645546728629486642275', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1255058311411900967924563270085', 'Lhash_array': ['1255058311411900967924563270085'], 'label': '2-276-12.11-c1-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/276/2/c/a/47/18'}