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lfunc_lfunctions • Show schema
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{'Lhash': '1278637334402007122408298979428', 'a10': [0.0, 0.0], 'a2': [-0.766044443118978, 0.6427876096865394], 'a3': [2.7431870547135286, 0.9984384349400967], 'a4': [0.17364817766693036, -0.984807753012208], 'a5': [0.0, 0.0], 'a6': [-2.7431870547135286, 0.9984384349400967], 'a7': [-0.3667935406393375, 0.6353050482754123], 'a8': [0.5, 0.8660254037844386], 'a9': [4.2300625794253195, 3.5494439502526], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.58578819202164, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.766044443118978, -0.6427876096865394]]], [5, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [-4.104486392781572, 1.4673757022217992]]]], 'bad_primes': [2, 5, 19], 'central_character': '950.101', 'coefficient_field': 'CDF', 'conductor': 950, 'conductor_radical': 190, 'conjugate': '2340532194060004896567547935785', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.766044443118978, -0.6427876096865394]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.58578819202164, 'bad_primes': [2, 5, 19], 'central_character': '19.6', 'conductor': 950, 'conductor_radical': 190, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/950/2/l/l/101/5'], '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': '2-950-19.6-c1-0-12', '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': '2-950-19.6-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.7542309619967678, 'root_angle': -0.2744556711493385, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.00866700506574891814248421738', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1278637334402007122408298979428', 'Lhash_array': ['1278637334402007122408298979428'], 'label': '2-950-19.6-c1-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/950/2/l/l/101/5'}