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  • lfunc_lfunctions • Show schema
    {'Lhash': '3471979055144161289226241978111', 'a10': [-1.395541493394377, 0.3185232391079511], 'a2': [0.7818314824680298, 0.6234898018587335], 'a3': [-0.24078730940376433, -0.05495813208737119], 'a4': [0.2225209339563144, 0.9749279121818236], 'a5': [-0.8924822833873556, 1.1191373854343893], 'a6': [-0.15398926418495207, -0.1930964297137938], 'a7': [0.9044592348750375, -3.962694825303055], 'a8': [-0.4338837391175581, 0.9009688679024191], 'a9': [-2.6479484716198862, -1.2751847758423247], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.46313233172342644, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [-0.7818314824680298, -0.6234898018587335]]], [29, [[1.0, 0], [-1.254987786879034, -5.23688892900971]]]], 'bad_primes': [2, 29], 'central_character': '58.35', 'coefficient_field': 'CDF', 'conductor': 58, 'conductor_radical': 58, 'conjugate': '4443040786955272060584436875111', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'prec': 40}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.73890854034941633941409857341', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '4.91520109101563756724897059359', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '5.89775981222853185465821573931', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 0.46313233172342644, 'bad_primes': [2, 29], 'central_character': '29.6', 'conductor': 58, 'conductor_radical': 58, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/58/2/e/a/35/2'], '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': '2-58-29.6-c1-0-0', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-58-29.6-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.6805382661712907, 'root_angle': -0.08643392117986864, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.73890854034941633941409857341', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '3471979055144161289226241978111', 'Lhash_array': ['3471979055144161289226241978111'], 'factors': ['2-58-29.6-c1-0-0'], 'label': '2-58-29.6-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/58/2/e/a/35/2'}