Formats: - HTML - YAML - JSON - 2026-08-09T11:23:34.204279
  • lfunc_lfunctions • Show schema
    {'Lhash': '3053506224907055666478125131039', 'a10': [0, 0], 'a2': [0, 0], 'a3': [356597.5079404028, 0], 'a4': [0, 0], 'a5': [80616288.33851157, 0], 'a6': [0, 0], 'a7': [-9587259860.8202, 0], 'a8': [0, 0], 'a9': [33018603842.305637, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 26.816322987608302, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '11.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]]], 'bad_primes': [2], 'central_character': '8.1', 'coefficient_field': 'CDF', 'conductor': 8, 'conductor_radical': 2, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-356597.5079404028, 0], [94143178827.0, 0]], [[1.0, 0], [-80616288.33851157, 0], [11920928955078124, 0]], [[1.0, 0], [9587259860.8202, 0], [27368747340080914000, 0]], [[1.0, 0], [1651118120125.8604, 0], [895430243255237400000000, 0]], [[1.0, 0], [3344849174406.508, 0], [41753905413413120000000000, 0]], [[1.0, 0], [-55498634759790.19, 0], [19967568900859523000000000000, 0]], [[1.0, 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'12.87184891258049384133492809062894', '13.59572452201746085591125148884501', '15.21033728097310357439945938911277'], 'prelabel': '2-2e3-1.1-c23-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.178447932306388, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c23-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.40879168467817439754597202072', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.25143665535516040844785771045', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '5.69275095569615358046547172310', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 26.816322987608302, 'bad_primes': [2], 'central_character': '1.1', 'conductor': 8, 'conductor_radical': 2, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/8/24/a/a/1/3'], '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': '2-2e3-1.1-c23-0-5', 'motivic_weight': 23, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [23], 'order_of_vanishing': 1, 'prelabel': '2-2e3-1.1-c23-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.178447932306388, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c23-0', 'z1': {'__RealLiteral__': 0, 'data': '2.40879168467817439754597202072', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '3053506224907055666478125131039', 'Lhash_array': ['3053506224907055666478125131039'], 'factors': ['2-2e3-1.1-c23-0-5'], 'label': '2-2e3-1.1-c23-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/8/24/a/a/1/3'}