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lfunc_lfunctions • Show schema
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{'Lhash': '2060853356638005687386526367669', 'a10': [9.575507653592549, 0.0], 'a2': [-4.0, 0.0], 'a3': [0.0, 0.0], 'a4': [16.0, 0.0], 'a5': [-2.3938769133981372, 0.0], 'a6': [0.0, 0.0], 'a7': [-51.696938456699066, 0.0], 'a8': [-64.0, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 25.98217880970287, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [4.0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '162.1', 'coefficient_field': 'CDF', 'conductor': 162, 'conductor_radical': 6, 'degree': 2, 'euler_factors': [[[1.0, 0], [4.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.3938769133981372, 0], [3125.0, 0]], [[1.0, 0], [51.696938456699066, 0], [16807.0, 0]], [[1.0, 0], [-670.96835363806, 0], [161051.0, 0]], [[1.0, 0], [846.9387691339814, 0], [371293.0, 0]], [[1.0, 0], [1135.5122149297124, 0], [1419857.0, 0]], [[1.0, 0], [-1002.4203686306845, 0], [2476099.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 25.98217880970287, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 162, 'conductor_radical': 6, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/162/6/a/e/1/1'], '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': '2-162-1.1-c5-0-13', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 1, 'prelabel': '2-162-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.097271702558426, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '1.62572664444521784498626883956', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2060853356638005687386526367669', 'Lhash_array': ['2060853356638005687386526367669'], 'label': '2-162-1.1-c5-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/162/6/a/e/1/1'}