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lfunc_lfunctions • Show schema
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{'Lhash': '3040340164893940519056501459216', 'a10': [0.0, -228.44254036801226], 'a2': [6.076409189395702, 0.0], 'a3': [0.0, -0.2501621735476626], 'a4': [20.922748636972536, 0.0], 'a5': [0.0, -37.594989614373034], 'a6': [0.0, -1.5200877301842195], 'a7': [40.707712060438055, 27.2742035411571], 'a8': [29.912635054785074, 0.0], 'a9': [80.93741888692591, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.9594871574560155, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [-40.707712060438055, -27.2742035411571]]], [11, [[1.0, 0], [36.4828726939094, 0]]]], 'bad_primes': [7, 11], 'central_character': '77.34', 'coefficient_field': 'CDF', 'conductor': 77, 'conductor_radical': 77, 'conjugate': '2083166230907776423567447966342', 'degree': 2, 'euler_factors': [[[1.0, 0], [-6.076409189395702, 0], [16.0, 0]], [[1.0, 0], [0, 0.2501621735476626], [-81.0, 0]], [[1.0, 0], [0, 37.594989614373034], [-625.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.9594871574560155, 'bad_primes': [7, 11], 'central_character': '7.6', 'conductor': 77, 'conductor_radical': 77, 'degree': 2, 'index': 21, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/77/5/d/a/34/23'], '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': '2-77-7.6-c4-0-21', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-77-7.6-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.8212563083590996, 'root_angle': 0.09395033510037976, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '2.39840549465803421578808380899', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3040340164893940519056501459216', 'Lhash_array': ['3040340164893940519056501459216'], 'label': '2-77-7.6-c4-0-21', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/77/5/d/a/34/23'}