Formats: - HTML - YAML - JSON - 2026-07-17T14:32:37.768280
  • lfunc_lfunctions • Show schema
    {'Lhash': '679390051035415432399658038618', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-3.1347883426207437, 0.0], 'a4': [0.0, 0.0], 'a5': [-3.001369941942149, 0.0], 'a6': [0.0, 0.0], 'a7': [-0.714287953259991, 0.0], 'a8': [0.0, 0.0], 'a9': [6.826897953030907, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 33.79269013540588, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 23], 'central_character': '4232.1', 'coefficient_field': 'CDF', 'conductor': 4232, 'conductor_radical': 46, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [3.1347883426207437, 0], [3.0, 0]], [[1.0, 0], [3.001369941942149, 0], [5.0, 0]], [[1.0, 0], [0.714287953259991, 0], [7.0, 0]], [[1.0, 0], [-1.1773259146104578, 0], [11.0, 0]], [[1.0, 0], [-4.393020098158288, 0], [13.0, 0]], [[1.0, 0], [2.250574971734849, 0], [17.0, 0]], [[1.0, 0], [-8.025068576858168, 0], [19.0, 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'5.55270421557237345778490078305633', '6.09697297956988938672980459442387', '6.95070000939671041781450351982352', '7.40314731371507788324230486898382', '8.230465746651060397417090228866472'], 'prelabel': '2-4232-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.813148040038708, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.53594425065794722681186413665', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.43716977819071094388698681332', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.30478839243943206159918257903', 'prec': 103}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 33.79269013540588, 'bad_primes': [2, 23], 'central_character': '1.1', 'conductor': 4232, 'conductor_radical': 46, 'degree': 2, 'index': 16, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/4232/2/a/bb/1/1'], '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': '2-4232-1.1-c1-0-16', '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': '2-4232-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.813148040038708, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.53594425065794722681186413665', 'prec': 103}}
  • lfunc_instances • Show schema
    {'Lhash': '679390051035415432399658038618', 'Lhash_array': ['679390051035415432399658038618'], 'factors': ['2-4232-1.1-c1-0-16'], 'label': '2-4232-1.1-c1-0-16', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/4232/2/a/bb/1/1'}