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lfunc_lfunctions • Show schema
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{'Lhash': '144694208801425812689077903887', 'a10': [5.802146749053218, -0.46742707647230997], 'a2': [-1.3943848325969195, 0.23598927650141444], 'a3': [-2.432815544512187, -1.703475783341193], 'a4': [1.888618122752678, -0.6581197356181857], 'a5': [-4.100366600487602, -0.35873559384299664], 'a6': [3.794283113422178, 1.8011824147762903], 'a7': [-3.2062455327472312, -1.851126721419649], 'a8': [-2.478151264674163, 1.3633658017545567], 'a9': [1.9907012992132316, 5.469406868467334], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.427452221446925, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.3943848325969195, -0.23598927650141444]]], [19, [[1.0, 0], [0.5255462701663774, 4.327100775104991]]]], 'bad_primes': [2, 19], 'central_character': '304.213', 'coefficient_field': 'CDF', 'conductor': 304, 'conductor_radical': 38, 'conjugate': '985671209526177964533054515849', 'degree': 2, 'euler_factors': [[[1.0, 0], 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{'__RealLiteral__': 0, 'data': '-0.140598265926', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.11414360453533086020809122331', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.29092425962547993485343208368', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.22012163299313355477326363618', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.427452221446925, 'bad_primes': [2, 19], 'central_character': '304.213', 'conductor': 304, 'conductor_radical': 38, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/304/2/bi/a/213/2'], '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': '2-304-304.213-c1-0-2', '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': '2-304-304.213-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.55802831214549, 'root_angle': -0.14059826592565777, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.11414360453533086020809122331', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '144694208801425812689077903887', 'Lhash_array': ['144694208801425812689077903887'], 'label': '2-304-304.213-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/304/2/bi/a/213/2'}