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lfunc_lfunctions • Show schema
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{'Lhash': '710712240727706056517681002046', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-1.7300333913141457, -0.08357311133418514], 'a4': [0.0, 0.0], 'a5': [0.4317331320986023, -0.4317331320986023], 'a6': [0.0, 0.0], 'a7': [-3.102775049096641, 0.0], 'a8': [0.0, 0.0], 'a9': [2.9860310701238477, 0.28916854644830997], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.0662554376171682, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [1.7300333913141457, 0.08357311133418514]]]], 'bad_primes': [2, 3], 'central_character': '384.287', 'coefficient_field': 'CDF', 'conductor': 384, 'conductor_radical': 6, 'conjugate': '2056942099250269262592667419492', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.7300333913141457, 0.08357311133418514]], [[1.0, 0], [-0.4317331320986023, 0.4317331320986023], [0, -5.0]], [[1.0, 0], [3.102775049096641, 0], [7.0, 0]], [[1.0, 0], [-2.9860310701238477, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.0662554376171682, 'bad_primes': [2, 3], 'central_character': '48.11', 'conductor': 384, 'conductor_radical': 6, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/384/2/k/b/287/1'], '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': '2-384-48.11-c1-0-0', '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': '2-384-48.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7510726534376488, 'root_angle': -0.23416767485891052, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.56065310157211185376996434404', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '710712240727706056517681002046', 'Lhash_array': ['710712240727706056517681002046'], 'label': '2-384-48.11-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/384/2/k/b/287/1'}