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lfunc_lfunctions • Show schema
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{'Lhash': '2431188742517226190870851739853', 'a10': [0.0, 0.0], 'a2': [0.599277666511347, -0.8005412409243604], 'a3': [0.09946787640390391, 0.2666836971670802], 'a4': [-0.28173255684142967, -0.9594929736144974], 'a5': [0.0, 0.0], 'a6': [0.27310017472860126, 0.08018944652641435], 'a7': [0.2298429438132142, -1.056570960785646], 'a8': [-0.9369497249997617, -0.3494641795990983], 'a9': [0.6945232384558576, -0.6018078118877825], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.1478495290559056, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.599277666511347, 0.8005412409243604]]], [5, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [0.8005412409243604, 0.599277666511347]]]], 'bad_primes': [2, 5, 23], 'central_character': '2300.43', 'coefficient_field': 'CDF', 'conductor': 2300, 'conductor_radical': 230, 'conjugate': '1207116393191204120081877406932', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.599277666511347, 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[0.28173255684142967, -0.9594929736144974]], [[1.0, 0], [1.4161987117198185, 0.5282148099681573], [0.7557495743542583, 0.6548607339452851]], [[1.0, 0], [-1.899453437235451, -0.5577298512751716], [0.8412535328311812, 0.5406408174555976]], [[1.0, 0], [0, 0], [0.28173255684142967, 0.9594929736144974]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 1, 'label': '2-2300-460.43-c0-0-1', 'leading_term': '1.6250286477160935343203261634963', 'load_key': 'CMFs-workshop', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/2300/1/bh/a/43/2', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05859375', 'prec': 34}, 'plot_values': [1.6250286477160936, 1.7189683207241397, 1.8324765598950914, 1.966324225198101, 2.1198293218478796, 2.2910594689776236, 2.477102675110866, 2.6743271736081886, 2.8785908949004075, 3.085395143955662, 3.289995029848308, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.1478495290559056, 'bad_primes': [2, 5, 23], 'central_character': '460.43', 'conductor': 2300, 'conductor_radical': 230, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2300/1/bh/a/43/2'], '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': '2-2300-460.43-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': '2-2300-460.43-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.0713773980516417, 'root_angle': 0.3301691340029347, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.91786975218527244430048509855', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2431188742517226190870851739853', 'Lhash_array': ['2431188742517226190870851739853'], 'label': '2-2300-460.43-c0-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2300/1/bh/a/43/2'}