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lfunc_lfunctions • Show schema
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{'Lhash': '318897495311797751141622689698', 'a10': [4.587603438035308, -61.45949090890292], 'a2': [-4.459622877623749, 3.240105679459301], 'a3': [0.0, 0.0], 'a4': [6.9178154415611335, -21.290846697709455], 'a5': [-7.226698529190536, 8.530816395175513], 'a6': [0.0, 0.0], 'a7': [-10.269624424724428, 0.0], 'a8': [24.506350401415567, 75.42279118668486], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 13.275429751291645, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [7.226698529190536, -8.530816395175513]]]], 'bad_primes': [3, 5], 'central_character': '225.136', 'coefficient_field': 'CDF', 'conductor': 225, 'conductor_radical': 15, 'conjugate': '1890747198721790016582530820817', 'degree': 2, 'euler_factors': [[[1.0, 0], [4.459622877623749, -3.240105679459301], [2.4721359549995796, -7.608452130361228]], [[1.0, 0], [0, 0]], [[1.0, 0], [7.226698529190536, -8.530816395175513]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 13.275429751291645, 'bad_primes': [3, 5], 'central_character': '25.11', 'conductor': 225, 'conductor_radical': 15, 'degree': 2, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/225/4/h/d/136/1'], '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': '2-15e2-25.11-c3-0-4', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-15e2-25.11-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.6435463152389933, 'root_angle': 0.4037160513312168, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '0.25156576682437814232268392516', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '318897495311797751141622689698', 'Lhash_array': ['318897495311797751141622689698'], 'label': '2-15e2-25.11-c3-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/225/4/h/d/136/1'}