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  • lfunc_lfunctions • Show schema
    {'Lhash': '2445122151696884743927754760801', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, 0.0], 'a4': [0.0, 0.0], 'a5': [-1.0, -2.0], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [3.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.5552128646809735, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.0, 2.0]]]], 'bad_primes': [2, 5], 'central_character': '320.129', 'coefficient_field': 'CDF', 'conductor': 320, 'conductor_radical': 10, 'conjugate': '1254903227713579933686319690315', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0], [-3.0, 0]], [[1.0, 0], [1.0, 2.0]], [[1.0, 0], [0, 0], [-7.0, 0]], [[1.0, 0], [0, 0], [11.0, 0]], [[1.0, 0], [0, 4.0], [-13.0, 0]], [[1.0, 0], [0, 8.0], [-17.0, 0]], [[1.0, 0], [0, 0], [19.0, 0]], [[1.0, 0], [0, 0], [-23.0, 0]], [[1.0, 0], [-10.0, 0], [29.0, 0]], [[1.0, 0], [0, 0], [31.0, 0]], [[1.0, 0], [0, -12.0], 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'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.92886127396355264597428082082', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.62020807869565141328442857275', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.47609537034312021662712926526', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 2.5552128646809735, 'bad_primes': [2, 5], 'central_character': '5.4', 'conductor': 320, 'conductor_radical': 10, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/320/2/c/a/129/1'], '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': '2-320-5.4-c1-0-7', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-320-5.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.598503320197044, 'root_angle': 0.17620819117478337, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.92886127396355264597428082082', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2445122151696884743927754760801', 'Lhash_array': ['2445122151696884743927754760801'], 'factors': ['2-320-5.4-c1-0-7'], 'label': '2-320-5.4-c1-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/320/2/c/a/129/1'}