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lfunc_lfunctions • Show schema
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{'Lhash': '426810646011041613556682567517', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-2.2872703073484413, -2.2872703073484413], 'a4': [0.0, 0.0], 'a5': [-1.2220045668302324, -1.8726197795190715], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [0.0, 7.463210917755668], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.8253393980854815, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.2220045668302324, 1.8726197795190715]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5, 7], 'central_character': '980.97', 'coefficient_field': 'CDF', 'conductor': 980, 'conductor_radical': 70, 'conjugate': '1297447802072062063724762010571', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [2.2872703073484413, 2.2872703073484413], [0, 3.0]], [[1.0, 0], [1.2220045668302324, 1.8726197795190715]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.2300629240933483, 0], [11.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.8253393980854815, 'bad_primes': [2, 5, 7], 'central_character': '35.27', 'conductor': 980, 'conductor_radical': 70, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/980/2/m/a/97/1'], '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': '2-980-35.27-c1-0-3', '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': '2-980-35.27-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.797380810344827, 'root_angle': -0.0437163770711057, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.33669423257023511870683137088', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '426810646011041613556682567517', 'Lhash_array': ['426810646011041613556682567517'], 'label': '2-980-35.27-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/980/2/m/a/97/1'}