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lfunc_lfunctions • Show schema
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{'Lhash': '1444126186649295469862251559569', 'a10': [0, 6061.48113987536], 'a2': [-14.787865820904695, 10.744013417324169], 'a3': [0, 0], 'a4': [63.69297594544628, -196.02682350099943], 'a5': [194.9169408992499, -268.28015344727584], 'a6': [0, 0], 'a7': [-72.5991223202371, -23.58888477106705], 'a8': [441.2284881531754, 1357.9616541217542], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 30.926117522928067, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [-4373.828405270616, 597.3241006755887]]]], 'bad_primes': [3, 11], 'central_character': '99.8', 'coefficient_field': 'CDF', 'conductor': 99, 'conductor_radical': 33, 'conjugate': '763610444240048459337452034413', 'degree': 2, 'euler_factors': [[[1.0, 0], [14.787865820904695, -10.744013417324169], [39.554175279993274, -121.73523408577965]], [[1.0, 0], [0, 0]], [[1.0, 0], [-194.9169408992499, 268.28015344727584], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 30.926117522928067, 'bad_primes': [3, 11], 'central_character': '33.8', 'conductor': 99, 'conductor_radical': 33, 'degree': 2, 'index': 19, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/99/8/j/a/8/4'], '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': '2-99-33.8-c7-0-19', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-99-33.8-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.561125562593248, 'root_angle': 0.06528822657250898, 'self_dual': False, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '1.13921469085353107772165168730826', 'prec': 113}}
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lfunc_instances • Show schema
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{'Lhash': '1444126186649295469862251559569', 'Lhash_array': ['1444126186649295469862251559569'], 'label': '2-99-33.8-c7-0-19', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/99/8/j/a/8/4'}