Formats: - HTML - YAML - JSON - 2026-09-22T06:38:15.956379
  • lfunc_lfunctions • Show schema
    {'Lhash': '1396239786221237248027250366716', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [3.153940012558871, 0.0], 'a4': [0.0, 0.0], 'a5': [1.1532881012231428, 0.0], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [6.947337602819848, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 53.21230790698127, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0, 0]]], [17, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 7, 17], 'central_character': '6664.1', 'coefficient_field': 'CDF', 'conductor': 6664, 'conductor_radical': 238, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-3.153940012558871, 0], [3.0, 0]], [[1.0, 0], [-1.1532881012231428, 0], [5.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.206444721097037, 0], [11.0, 0]], [[1.0, 0], [-1.3045517441767966, 0], [13.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-5.737818998259081, 0], [19.0, 0]], [[1.0, 0], [-2.251965562218448, 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'5.80327983099221630916221610717082', '6.89747967083913885196101986655354', '7.50547710270984828526705022644131', '7.955345401553337994749959185174456'], 'prelabel': '2-6664-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.294676682827093, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.10143898166407722163892776644', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.13093234065339221534366500185', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '2.63681989475361700956837282972', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 53.21230790698127, 'bad_primes': [2, 7, 17], 'central_character': '1.1', 'conductor': 6664, 'conductor_radical': 238, 'degree': 2, 'index': 95, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6664/2/a/z/1/10'], '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': '2-6664-1.1-c1-0-95', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-6664-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.294676682827093, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.10143898166407722163892776644', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1396239786221237248027250366716', 'Lhash_array': ['1396239786221237248027250366716'], 'factors': ['2-6664-1.1-c1-0-95'], 'label': '2-6664-1.1-c1-0-95', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6664/2/a/z/1/10'}