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lfunc_lfunctions • Show schema
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{'Lhash': '888060207538940746912156761414', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.8502171357296141, 0.5264321628773558], 'a4': [-0.6026346363792564, 0.7980172272802395], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-0.7390089172206591, 0.6736956436465572], 'a8': [0.0, 0.0], 'a9': [0.44573835577653825, 0.8951632913550623], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.0794776223251843, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.8502171357296141, -0.5264321628773558]]], [7, [[1.0, 0], [0.7390089172206591, -0.6736956436465572]]], [103, [[1.0, 0], [-0.9324722294043558, 0.3612416661871529]]]], 'bad_primes': [3, 7, 103], 'central_character': '2163.1007', 'coefficient_field': 'CDF', 'conductor': 2163, 'conductor_radical': 2163, 'conjugate': '2694979615095715944444626839339', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0], [0.6026346363792564, -0.7980172272802395]], [[1.0, 0], [-0.8502171357296141, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.0794776223251843, 'bad_primes': [3, 7, 103], 'central_character': '2163.1007', 'conductor': 2163, 'conductor_radical': 2163, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2163/1/bu/b/1007/1'], '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': '2-2163-2163.1007-c0-0-1', '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': '2-2163-2163.1007-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.0389791250670941, 'root_angle': -0.37362794317239756, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.70055597920992841013299559571', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '888060207538940746912156761414', 'Lhash_array': ['888060207538940746912156761414'], 'label': '2-2163-2163.1007-c0-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2163/1/bu/b/1007/1'}