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lfunc_lfunctions • Show schema
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{'Lhash': '5114139664196921012487307679402', 'a10': [2.034473108605209e-59, 86.09281070521435], 'a2': [1.6625077511098136, -2.288245611270737], 'a3': [3.263283577596596, -10.043354143903406], 'a4': [-2.4721359549995796, -7.608452130361228], 'a5': [-24.625187032271135, 17.8912456390311], 'a6': [-17.556426800401038, -24.16434843614756], 'a7': [86.52180956117394, -28.112640080138007], 'a8': [-21.519952382846636, -6.9922563911811375], 'a9': [-24.689566207679345, -17.938019847883083], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.274139187844576, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.6625077511098136, 2.288245611270737]]], [11, [[1.0, 0], [-18.626762721182974, -119.55770033974703]]]], 'bad_primes': [2, 11], 'central_character': '22.7', 'coefficient_field': 'CDF', 'conductor': 22, 'conductor_radical': 22, 'conjugate': '2321637712676779474861033158974', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'prec': 47}, 'spectral_label': 'c4-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '4.03434484492506444843614661199', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '5.18620625857112749101609176906', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '8.048206998193170893027069487940', 'prec': 107}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.274139187844576, 'bad_primes': [2, 11], 'central_character': '11.7', 'conductor': 22, 'conductor_radical': 22, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/22/5/d/a/7/4'], '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': '2-22-11.7-c4-0-3', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-22-11.7-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5080249294506294, 'root_angle': 0.23646845202910977, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '4.03434484492506444843614661199', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '5114139664196921012487307679402', 'Lhash_array': ['5114139664196921012487307679402'], 'label': '2-22-11.7-c4-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/22/5/d/a/7/4'}