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lfunc_lfunctions • Show schema
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{'Lhash': '1287403117948191964624246900786', 'a10': [0.0, 0.0], 'a2': [0.10766584719974404, -0.14818932553793962], 'a3': [1.3999068361463773, -0.4548573039550499], 'a4': [0.607665847199744, 1.8702031740303053], 'a5': [0.0, 0.0], 'a6': [0.08331715842530854, -0.2564238468497946], 'a7': [0.0, 3.2608556170799923], 'a8': [0.6909830056250525, 0.2245139882897927], 'a9': [-0.6742070001967385, 0.48984005832184924], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.990650126330026, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]]], 'bad_primes': [5], 'central_character': '625.249', 'coefficient_field': 'CDF', 'conductor': 625, 'conductor_radical': 5, 'conjugate': '2739137914725569733362231556880', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.10766584719974404, 0.14818932553793962], [-0.6180339887498949, -1.902113032590307]], [[1.0, 0], [-1.3999068361463773, 0.4548573039550499], [2.4270509831248424, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.990650126330026, 'bad_primes': [5], 'central_character': '25.9', 'conductor': 625, 'conductor_radical': 5, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/625/2/e/a/249/2'], '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': '2-5e4-25.9-c1-0-13', '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': '2-5e4-25.9-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.233976303887314, 'root_angle': -0.18, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.01558198900896374371762983638', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1287403117948191964624246900786', 'Lhash_array': ['1287403117948191964624246900786'], 'label': '2-5e4-25.9-c1-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/625/2/e/a/249/2'}