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lfunc_lfunctions • Show schema
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{'Lhash': '2121071920565742437689815300443', 'a10': [1.3218265762877222, 1.19672789077171], 'a2': [0.04928318774414173, 0.1516780555796622], 'a3': [0.0, 0.0], 'a4': [6.451558555049377, -4.6873316621601875], 'a5': [9.69768253039612, -5.563717600638075], 'a6': [0.0, 0.0], 'a7': [29.344810644244305, 0.0], 'a8': [2.061119208589108, 1.4974907603287393], '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], [-9.69768253039612, 5.563717600638075]]]], 'bad_primes': [3, 5], 'central_character': '225.181', 'coefficient_field': 'CDF', 'conductor': 225, 'conductor_radical': 15, 'conjugate': '1868481235739426652552503809444', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.04928318774414173, -0.1516780555796622], [-6.47213595499958, 4.702282018339785]], [[1.0, 0], [0, 0]], [[1.0, 0], [-9.69768253039612, 5.563717600638075]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 13.275429751291645, 'bad_primes': [3, 5], 'central_character': '25.6', 'conductor': 225, 'conductor_radical': 15, 'degree': 2, 'index': 21, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/225/4/h/d/181/9'], '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': '2-15e2-25.6-c3-0-21', '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': '2-15e2-25.6-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.6435463152389933, 'root_angle': 0.07420226789283385, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.67323071529636162596525106323', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2121071920565742437689815300443', 'Lhash_array': ['2121071920565742437689815300443'], 'label': '2-15e2-25.6-c3-0-21', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/225/4/h/d/181/9'}