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lfunc_lfunctions • Show schema
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{'Lhash': '861651364997377478138743819798', 'a10': [-1.0, 0.0], 'a2': [1.0, 0.0], 'a3': [-0.07495684695574029, 0.0], 'a4': [1.0, 0.0], 'a5': [-1.0, 0.0], 'a6': [-0.07495684695574029, 0.0], 'a7': [1.0, 0.0], 'a8': [1.0, 0.0], 'a9': [-2.994381471094454, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 54.21842297244941, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [5, [[1.0, 0], [1.0, 0]]], [7, [[1.0, 0], [-1.0, 0]]], [97, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 7, 97], 'central_character': '6790.1', 'coefficient_field': 'CDF', 'conductor': 6790, 'conductor_radical': 6790, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [0.07495684695574029, 0], [3.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [0.30189919964123113, 0], [11.0, 0]], [[1.0, 0], [4.380945057720128, 0], [13.0, 0]], [[1.0, 0], [-4.3035203992304245, 0], [17.0, 0]], [[1.0, 0], [7.087317107632636, 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'4.54226707734274954386060628562528', '4.97101346645086717524751386849365', '5.83147356239365498198183026503856', '6.43755954758960894031529091748544', '7.24303445128029514788431322741254', '8.029178157399923691731151255887847'], 'prelabel': '2-6790-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.363316031004605, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.67972307577675164384469786224', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.15718186015632359071739226224', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.75755165930600631645285844877', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 54.21842297244941, 'bad_primes': [2, 5, 7, 97], 'central_character': '1.1', 'conductor': 6790, 'conductor_radical': 6790, 'degree': 2, 'index': 33, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6790/2/a/bd/1/7'], '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': '2-6790-1.1-c1-0-33', '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': '2-6790-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.363316031004605, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.67972307577675164384469786224', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '861651364997377478138743819798', 'Lhash_array': ['861651364997377478138743819798'], 'label': '2-6790-1.1-c1-0-33', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6790/2/a/bd/1/7'}