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lfunc_lfunctions • Show schema
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{'Lhash': '688640534837675162526338452862', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-1.7312872828233743, 0.05142318868037739], 'a4': [0, 0], 'a5': [0.9775201720553252, -2.0110828707999397], 'a6': [0, 0], 'a7': [0, 0], 'a8': [0, 0], 'a9': [2.9947113113318844, -0.17805662520912854], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 23.476018194256444, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [1.7312872828233743, -0.05142318868037739]]], [5, [[1.0, 0], [-0.9775201720553252, 2.0110828707999397]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5, 7], 'central_character': '2940.1469', 'coefficient_field': 'CDF', 'conductor': 2940, 'conductor_radical': 210, 'conjugate': '1326812691189480921103214717860', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.7312872828233743, -0.05142318868037739]], [[1.0, 0], [-0.9775201720553252, 2.0110828707999397]], [[1.0, 0], [0, 0]], [[1.0, 0], 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'data': '1.87284372871091421092744514584', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.01175835982048751351110313670', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 23.476018194256444, 'bad_primes': [2, 3, 5, 7], 'central_character': '105.104', 'conductor': 2940, 'conductor_radical': 210, 'degree': 2, 'index': 21, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2940/2/f/b/1469/4'], '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': '2-2940-105.104-c1-0-21', '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': '2-2940-105.104-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.845205691635438, 'root_angle': -0.1156383414884477, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.54324159568393014469072238734', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '688640534837675162526338452862', 'Lhash_array': ['688640534837675162526338452862'], 'label': '2-2940-105.104-c1-0-21', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2940/2/f/b/1469/4'}