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lfunc_lfunctions • Show schema
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{'Lhash': '1908274312984664085899469209974', 'a10': [0.0, 0.0], 'a2': [0.6396623644680286, -1.2612819111852713], 'a3': [-0.7300697583928656, 1.5706680578276822], 'a4': [-1.1816641189663417, -1.6135891391390496], 'a5': [0.0, 0.0], 'a6': [1.5140570619343745, 1.9255210238287843], 'a7': [1.2553850616579392, 0.0], 'a8': [-2.7910568576261374, 0.45825933432731214], 'a9': [-1.9339962957603656, -2.2933944989872947], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.791024121276825, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.6396623644680286, 1.2612819111852713]]], [3, [[1.0, 0], [0.7300697583928656, -1.5706680578276822]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5], 'central_character': '600.299', 'coefficient_field': 'CDF', 'conductor': 600, 'conductor_radical': 30, 'conjugate': '1142402872686896725543419884160', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.6396623644680286, 1.2612819111852713]], [[1.0, 0], 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'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.59905724093068899390410472141', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.791024121276825, 'bad_primes': [2, 3, 5], 'central_character': '120.59', 'conductor': 600, 'conductor_radical': 30, 'degree': 2, 'index': 42, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/600/2/m/e/299/18'], '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': '2-600-120.59-c1-0-42', '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': '2-600-120.59-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.188840816797061, 'root_angle': 0.2195570479775972, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.50536300195108651305721961199', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1908274312984664085899469209974', 'Lhash_array': ['1908274312984664085899469209974'], 'label': '2-600-120.59-c1-0-42', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/600/2/m/e/299/18'}