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lfunc_lfunctions • Show schema
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{'Lhash': '2296550816994678212810524987671', 'a10': [0.28255157682985516, 1.9759923347324493], 'a2': [-0.631219541878294, 0.631219541878294], 'a3': [-1.4150100380678066, 0.9988726606366523], 'a4': [0.0, 1.2031237799019132], 'a5': [1.3414039375773223, -1.7890319941946413], 'a6': [0.2626740447405279, -1.5236899312241685], 'a7': [-3.109381259934576, -3.109381259934576], 'a8': [-2.021874324929155, -2.021874324929155], 'a9': [1.0045068156653105, -2.8268296831047213], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.275736457606492, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [1.4150100380678066, -0.9988726606366523]]], [5, [[1.0, 0], [-1.3414039375773223, 1.7890319941946413]]], [19, [[1.0, 0], [0, -1.0]]]], 'bad_primes': [3, 5, 19], 'central_character': '285.77', 'coefficient_field': 'CDF', 'conductor': 285, 'conductor_radical': 285, 'conjugate': '575239776064584052408106349578', 'degree': 2, 'euler_factors': 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.275736457606492, 'bad_primes': [3, 5, 19], 'central_character': '15.2', 'conductor': 285, 'conductor_radical': 285, 'degree': 2, 'index': 21, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/285/2/k/d/77/7'], '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': '2-285-15.2-c1-0-21', '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': '2-285-15.2-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5085544264647834, 'root_angle': 0.166461411806625, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.81165915638047607742526741549', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2296550816994678212810524987671', 'Lhash_array': ['2296550816994678212810524987671'], 'factors': ['2-285-15.2-c1-0-21'], 'label': '2-285-15.2-c1-0-21', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/285/2/k/d/77/7'}