Formats: - HTML - YAML - JSON - 2026-07-28T23:05:22.493859
  • lfunc_lfunctions • Show schema
    {'Lhash': '1561606207367170060641872392647', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [1.5615528128088303, 0.0], 'a4': [0.0, 0.0], 'a5': [-1.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-0.4384471871911697, 0.0], 'a8': [0.0, 0.0], 'a9': [-0.5615528128088303, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.026835377872677, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.0, 0]]], [11, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 11], 'central_character': '880.1', 'coefficient_field': 'CDF', 'conductor': 880, 'conductor_radical': 110, 'conjugate': '1561606207367170060641872392647', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-1.5615528128088303, 0], [3.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [0.4384471871911697, 0], [7.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-7.123105625617661, 0], [13.0, 0]], [[1.0, 0], [-4.68465843842649, 0], [17.0, 0]], [[1.0, 0], 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'7.999164874241700356366186399818766', '8.360088928861532647193462840980123', '9.099967237966268641525759865103256', '10.03074935626406960154103357608900'], 'prelabel': '2-880-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.650817869615466, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.23189008634241684855923277270', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.87859095198752881762150845620', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.54836043949067546959013704476', 'prec': 103}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 7.026835377872677, 'bad_primes': [2, 5, 11], 'central_character': '1.1', 'conductor': 880, 'conductor_radical': 110, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/880/2/a/k/1/2'], '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': '2-880-1.1-c1-0-7', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-880-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.650817869615466, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.23189008634241684855923277270', 'prec': 103}}
  • lfunc_instances • Show schema
    {'Lhash': '1561606207367170060641872392647', 'Lhash_array': ['1561606207367170060641872392647'], 'factors': ['2-880-1.1-c1-0-7'], 'label': '2-880-1.1-c1-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/880/2/a/k/1/2'}