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lfunc_lfunctions • Show schema
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{'Lhash': '961492076167223042695409325824', 'a10': [11.27418198020253, -6.275376315596756], 'a2': [0.0, 2.580600916260212], 'a3': [0.0, 1.7320508075688772], 'a4': [-2.6595010890030464, 0.0], 'a5': [-2.431750014524131, -4.368820420532513], 'a6': [-4.469731901021485, 0.0], 'a7': [10.61561794189764, 0.0], 'a8': [0.0, 3.4592927179645554], 'a9': [-3.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.400569120430244, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, -1.7320508075688772]]], [5, [[1.0, 0], [2.431750014524131, 4.368820420532513]]], [23, [[1.0, 0], [-18.286502140765588, -13.950048009084972]]]], 'bad_primes': [3, 5, 23], 'central_character': '345.229', 'coefficient_field': 'CDF', 'conductor': 345, 'conductor_radical': 345, 'conjugate': '2375217991094979043680492459344', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -2.580600916260212], [-4.0, 0]], [[1.0, 0], [0, -1.7320508075688772]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.400569120430244, 'bad_primes': [3, 5, 23], 'central_character': '115.114', 'conductor': 345, 'conductor_radical': 345, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/345/3/d/a/229/37'], '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': '2-345-115.114-c2-0-12', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-345-115.114-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.066034755254781, 'root_angle': -0.47711773239304245, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.75848350956810560044034343967', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '961492076167223042695409325824', 'Lhash_array': ['961492076167223042695409325824'], 'label': '2-345-115.114-c2-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/345/3/d/a/229/37'}