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lfunc_lfunctions • Show schema
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{'Lhash': '1669239393572857545669699746440', 'a10': [3.1622776601683795, 0.0], 'a2': [1.4142135623730951, 0.0], 'a3': [0.0, 1.0], 'a4': [2.0, 0.0], 'a5': [2.23606797749979, 0.0], 'a6': [0.0, 1.4142135623730951], 'a7': [-1.5811388300841898, 1.5811388300841898], 'a8': [2.8284271247461903, 0.0], 'a9': [2.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.026835377872677, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.4142135623730951, 0]]], [5, [[1.0, 0], [-2.23606797749979, 0]]], [11, [[1.0, 0], [1.5289611963132421, -2.9431747586863373]]]], 'bad_primes': [2, 5, 11], 'central_character': '880.813', 'coefficient_field': 'CDF', 'conductor': 880, 'conductor_radical': 110, 'conjugate': '2553351030724279879066071096116', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.4142135623730951, 0]], [[1.0, 0], [0, -1.0], [-3.0, 0]], [[1.0, 0], [-2.23606797749979, 0]], [[1.0, 0], [1.5811388300841898, -1.5811388300841898], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.026835377872677, 'bad_primes': [2, 5, 11], 'central_character': '880.813', 'conductor': 880, 'conductor_radical': 110, 'degree': 2, 'index': 75, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/880/2/t/a/813/4'], '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': '2-880-880.813-c1-0-75', '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': '2-880-880.813-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.650817869615466, 'root_angle': -0.14814146167314252, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.31679769904445719895099435886', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1669239393572857545669699746440', 'Lhash_array': ['1669239393572857545669699746440'], 'factors': ['2-880-880.813-c1-0-75'], 'label': '2-880-880.813-c1-0-75', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/880/2/t/a/813/4'}