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  • lfunc_lfunctions • Show schema
    {'Lhash': '3077632170218498285778086068901', 'a10': [-0.3594841311045039, -1.575002887004851], 'a2': [0.6234898018587335, -0.7818314824680298], 'a3': [-0.760452999006923, 3.3317622816547043], 'a4': [-0.2225209339563144, -0.9749279121818236], 'a5': [1.0072521523647233, -1.2630542490907535], 'a6': [2.1307419542234567, 2.6718659003901353], 'a7': [0.3384334231378015, -1.4827737092684516], 'a8': [-0.9009688679024191, -0.4338837391175581], 'a9': [-7.8194445340510805, -3.7656460207722624], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.46313233172342644, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [-0.6234898018587335, 0.7818314824680298]]], [29, [[1.0, 0], [4.3170279591716065, -3.2192032554237135]]]], 'bad_primes': [2, 29], 'central_character': '58.23', 'coefficient_field': 'CDF', 'conductor': 58, 'conductor_radical': 58, 'conjugate': '4558939942977367281097301599348', 'degree': 2, 'euler_factors': [[[1.0, 0], 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0, 'data': '-0.052360394611', 'prec': 37}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.42782369973587164779305623392', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '5.62337168461694740137725333271', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '6.43749940039944252757714314594', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 0.46313233172342644, 'bad_primes': [2, 29], 'central_character': '29.23', 'conductor': 58, 'conductor_radical': 58, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/58/2/d/b/23/1'], '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': '2-58-29.23-c1-0-0', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-58-29.23-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.6805382661712907, 'root_angle': -0.05236039461099521, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.42782369973587164779305623392', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '3077632170218498285778086068901', 'Lhash_array': ['3077632170218498285778086068901'], 'factors': ['2-58-29.23-c1-0-0'], 'label': '2-58-29.23-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/58/2/d/b/23/1'}