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lfunc_lfunctions • Show schema
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{'Lhash': '1617083960475397095955658851885', 'a10': [0.0, 0.0], 'a2': [2.0, 2.0], 'a3': [-0.12372435695794524, 0.12372435695794524], 'a4': [0.0, 8.0], 'a5': [0.0, 0.0], 'a6': [-0.494897427831781, -1.2446030555722283e-60], 'a7': [60.49489742783178, 60.49489742783178], 'a8': [-16.0, 16.0], 'a9': [0.0, 80.96938456699068], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.168498154192218, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-2.0, -2.0]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5], 'central_character': '50.7', 'coefficient_field': 'CDF', 'conductor': 50, 'conductor_radical': 10, 'conjugate': '3148779988546131791736708137671', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.0, -2.0]], [[1.0, 0], [0.12372435695794524, -0.12372435695794524], [0, -81.0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-60.49489742783178, -60.49489742783178], [0, 2401.0]], [[1.0, 0], [136.48469228349535, 0], [14641.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.168498154192218, 'bad_primes': [2, 5], 'central_character': '5.2', 'conductor': 50, 'conductor_radical': 10, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/50/5/c/d/7/1'], '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': '2-50-5.2-c4-0-2', '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': '2-50-5.2-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.273433120677232, 'root_angle': -0.22912764979963543, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '1.27565431687900062895696871103', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1617083960475397095955658851885', 'Lhash_array': ['1617083960475397095955658851885'], 'label': '2-50-5.2-c4-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/50/5/c/d/7/1'}