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lfunc_lfunctions • Show schema
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{'Lhash': '1555456086229308697171615374745', 'a10': [2.9132250964371345, -1.230089239644364], 'a2': [-1.360746947046047, -0.38518533994021964], 'a3': [0.0, 0.4233880277551022], 'a4': [1.7032645077902748, 1.0482795507410954], 'a5': [-1.745174907052768, 1.397985888266889], 'a6': [0.1630828613974682, -0.5761239661836024], 'a7': [0.0, 0.0], 'a8': [-1.9139300638829149, -2.082515716763055], 'a9': [2.8207425779536446, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.8253393980854815, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.360746947046047, 0.38518533994021964]]], [5, [[1.0, 0], [1.745174907052768, -1.397985888266889]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5, 7], 'central_character': '980.979', 'coefficient_field': 'CDF', 'conductor': 980, 'conductor_radical': 70, 'conjugate': '605357045383128045823875967450', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.360746947046047, 0.38518533994021964]], 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{'__RealLiteral__': 0, 'data': '4.09638739652273207096865611077', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.8253393980854815, 'bad_primes': [2, 5, 7], 'central_character': '140.139', 'conductor': 980, 'conductor_radical': 70, 'degree': 2, 'index': 64, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/980/2/c/e/979/6'], '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': '2-980-140.139-c1-0-64', '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': '2-980-140.139-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.797380810344827, 'root_angle': 0.20529566980831246, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.22703849621438465423137230664', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1555456086229308697171615374745', 'Lhash_array': ['1555456086229308697171615374745'], 'label': '2-980-140.139-c1-0-64', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/980/2/c/e/979/6'}