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lfunc_lfunctions • Show schema
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{'Lhash': '1838547980207106493202266600859', 'a10': [-5.75951647622125, -0.1819569949170874], 'a2': [-1.8222277132088431, 1.8222277132088431], 'a3': [-1.2829272034002612, 1.1636570761077272], 'a4': [0.0, -4.641027677572659], 'a5': [1.5304232947600127, 1.630277442294994], 'a6': [0.21733733131040187, -4.458233676820546], 'a7': [-1.8372100357541237, -1.8372100357541237], 'a8': [4.812553825424488, 4.812553825424488], 'a9': [0.29180441844883037, -2.9857746367356226], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.275736457606492, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [1.2829272034002612, -1.1636570761077272]]], [5, [[1.0, 0], [-1.5304232947600127, -1.630277442294994]]], [19, [[1.0, 0], [0, 1.0]]]], 'bad_primes': [3, 5, 19], 'central_character': '285.77', 'coefficient_field': 'CDF', 'conductor': 285, 'conductor_radical': 285, 'conjugate': '795498028850412068405546264561', 'degree': 2, 'euler_factors': [[[1.0, 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-0.1506501385245615, 'root_number': '0.8900774041709639 - 0.45580940598486835*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.0753250692623', 'prec': 54}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.45035862395844092410057598079', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.32129872748440316224311253800', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.31048188232454499220673656976', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.275736457606492, 'bad_primes': [3, 5, 19], 'central_character': '15.2', 'conductor': 285, 'conductor_radical': 285, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/285/2/k/c/77/1'], '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': '2-285-15.2-c1-0-14', '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': '2-285-15.2-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5085544264647834, 'root_angle': -0.07532506926228075, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.45035862395844092410057598079', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1838547980207106493202266600859', 'Lhash_array': ['1838547980207106493202266600859'], 'label': '2-285-15.2-c1-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/285/2/k/c/77/1'}