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lfunc_lfunctions • Show schema
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{'Lhash': '1297502252590412834482651899018', 'a10': [2.1675056777332324, -0.5494716889833374], 'a2': [-0.5877852522924731, -0.8090169943749475], 'a3': [-1.5388417685876268, 0.5], 'a4': [-0.30901699437494745, 0.9510565162951535], 'a5': [-0.8294959373163704, 2.076520284027015], 'a6': [1.3090169943749475, 0.9510565162951535], 'a7': [4.768783508503152, 1.5494716889833373], 'a8': [0.9510565162951535, -0.30901699437494745], 'a9': [-0.30901699437494745, 0.2245139882897927], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.8783544222340847, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.5877852522924731, 0.8090169943749475]]], [5, [[1.0, 0], [0.8294959373163704, -2.076520284027015]]], [11, [[1.0, 0], [0.9694248147274337, -3.171784281534714]]]], 'bad_primes': [2, 5, 11], 'central_character': '110.69', 'coefficient_field': 'CDF', 'conductor': 110, 'conductor_radical': 110, 'conjugate': '2955592086535197035076217137871', 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.8783544222340847, 'bad_primes': [2, 5, 11], 'central_character': '55.14', 'conductor': 110, 'conductor_radical': 110, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/110/2/j/b/69/2'], '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': '2-110-55.14-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': '2-110-55.14-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.9372056456477866, 'root_angle': -0.13852123703352917, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.02354880150477497830439179101', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1297502252590412834482651899018', 'Lhash_array': ['1297502252590412834482651899018'], 'label': '2-110-55.14-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/110/2/j/b/69/2'}