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lfunc_lfunctions • Show schema
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{'Lhash': '888500922633768136866717043291', 'a10': [-0.7117882209570433, 0], 'a2': [-0.2181142123680502, 0], 'a3': [0, 2.3632084049241637], 'a4': [-1.952426190363065, 0], 'a5': [3.2633738683472764, 0], 'a6': [0, -0.5154493399015903], 'a7': [0, 0], 'a8': [0.8620803254538932, 0], 'a9': [-2.5847539651042104, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.999140307798303, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [2.8817860426192676, -3.8334461264722086]]]], 'bad_primes': [7, 23], 'central_character': '1127.1126', 'coefficient_field': 'CDF', 'conductor': 1127, 'conductor_radical': 161, 'conjugate': '2072405095423177708788644821889', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.2181142123680502, 0], [2.0, 0]], [[1.0, 0], [0, -2.3632084049241637], [-3.0, 0]], [[1.0, 0], [-3.2633738683472764, 0], [5.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -3.739207596391902], [-11.0, 0]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 8.999140307798303, 'bad_primes': [7, 23], 'central_character': '161.160', 'conductor': 1127, 'conductor_radical': 161, 'degree': 2, 'index': 24, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1127/2/c/a/1126/13'], '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': '2-1127-161.160-c1-0-24', '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': '2-1127-161.160-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.9998567145445967, 'root_angle': -0.37238579346353284, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.70090364211857850903011793116', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '888500922633768136866717043291', 'Lhash_array': ['888500922633768136866717043291'], 'factors': ['2-1127-161.160-c1-0-24'], 'label': '2-1127-161.160-c1-0-24', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1127/2/c/a/1126/13'}