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lfunc_lfunctions • Show schema
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{'Lhash': '2217410032313875993607158710012', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, 0.0], 'a4': [0.0, 0.0], 'a5': [0.7071067811865476, -0.7071067811865476], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.437307236383047, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-0.7071067811865476, 0.7071067811865476]]]], 'bad_primes': [2, 3, 5], 'central_character': '2880.449', 'coefficient_field': 'CDF', 'conductor': 2880, 'conductor_radical': 30, 'conjugate': '979173532743102494819968686572', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.7071067811865476, 0.7071067811865476]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 2.0], [-1.0, 0]], [[1.0, 0], [1.4142135623730951, 0], [1.0, 0]], [[1.0, 0], [0, 0], [1.0, 0]], 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True, 'rational': False, 'root_analytic_conductor': 1.1988774901477828, 'root_angle': 0.4459132760153037, 'root_number': '0.16910197872576274814293476805101 + 0.98559855965348878087536279295316*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.2229566380076518', 'prec': 60}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.74922808533727725495448654560', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.35494142730473124917319451416', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.55450206630268070716617230156', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.437307236383047, 'bad_primes': [2, 3, 5], 'central_character': '15.14', 'conductor': 2880, 'conductor_radical': 30, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2880/1/c/a/449/3'], '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': '2-2880-15.14-c0-0-3', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-2880-15.14-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.1988774901477828, 'root_angle': 0.22295663800765184, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.74922808533727725495448654560', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2217410032313875993607158710012', 'Lhash_array': ['2217410032313875993607158710012'], 'label': '2-2880-15.14-c0-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2880/1/c/a/449/3'}