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lfunc_lfunctions • Show schema
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{'Lhash': '255187591599038178835563617037', 'a10': [0.1685553386149112, -2.2297060563725464], 'a2': [-0.8005412409243604, 0.599277666511347], 'a3': [-0.09558641683558153, -0.03565189022310929], 'a4': [0.28173255684142967, -0.9594929736144974], 'a5': [-1.4711485424083641, 1.6839602032618661], 'a6': [0.09788625032869325, -0.028741996390901244], 'a7': [-2.1553170236654013, 0.4688605195070217], 'a8': [0.3494641795990983, 0.9369497249997617], 'a9': [-2.25938301725579, -1.95776652895617], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.8365592464894498, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.8005412409243604, -0.599277666511347]]], [5, [[1.0, 0], [1.4711485424083641, -1.6839602032618661]]], [23, [[1.0, 0], [3.5296245320642528, -3.246806224992524]]]], 'bad_primes': [2, 5, 23], 'central_character': '230.107', 'coefficient_field': 'CDF', 'conductor': 230, 'conductor_radical': 230, 'conjugate': 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False, 'root_analytic_conductor': 1.355197124587213, 'root_angle': 0.4895425026282534, 'root_number': '-0.9978421114319398 + 0.06565912467470261*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.489542502628', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.20130751450998712522374884626', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.56623990796033619443834989063', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.01035435252080290535388415745', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.8365592464894498, 'bad_primes': [2, 5, 23], 'central_character': '115.107', 'conductor': 230, 'conductor_radical': 230, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/230/2/l/a/107/3'], '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': '2-230-115.107-c1-0-1', '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': '2-230-115.107-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.355197124587213, 'root_angle': 0.4895425026282534, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.20130751450998712522374884626', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '255187591599038178835563617037', 'Lhash_array': ['255187591599038178835563617037'], 'factors': ['2-230-115.107-c1-0-1'], 'label': '2-230-115.107-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/230/2/l/a/107/3'}