Formats: - HTML - YAML - JSON - 2026-10-07T03:53:37.561685
  • lfunc_lfunctions • Show schema
    {'Lhash': '2273224704684449698687325195455', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, -1.0], 'a4': [0, 0], 'a5': [-2.4403764330166005, 0], 'a6': [0, 0], 'a7': [-4.613267104213528, 0], 'a8': [0, 0], 'a9': [-1.0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 28.362862797958805, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 1.0]]], [37, [[1.0, 0], [-6.047841799177145, 0.6508529573765117]]]], 'bad_primes': [2, 3, 37], 'central_character': '3552.2737', 'coefficient_field': 'CDF', 'conductor': 3552, 'conductor_radical': 222, 'conjugate': '151595285716760789032600992423', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 1.0]], [[1.0, 0], [2.4403764330166005, 0], [5.0, 0]], [[1.0, 0], [4.613267104213528, 0], [7.0, 0]], [[1.0, 0], [0, 5.063405274517946], [-11.0, 0]], [[1.0, 0], [0.7125807632653574, 0], [13.0, 0]], [[1.0, 0], [0, 7.275675291888605], [-17.0, 0]], [[1.0, 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'3.62806336917899091630861293147259', '4.37313266397605830158091463447319', '5.23213645167889624643370074669295', '6.35475317456224183119713370336066', '6.79773464618436641416654587209676', '7.68714685607032177393346442719606', '8.341534430458132980418019711537256', '9.292953550926231432789427732494866'], 'prelabel': '2-3552-296.221-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.325679562080205, 'root_angle': -0.24443322496620493, 'root_number': '0.0349699477334792765742166323395901901532031766542043066 - 0.9993883643286616370386279006028056612248308516734707009*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.24443322496620493', 'prec': 57}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.79325809830814222482231439528', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.18787210299769157655147462929', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.62806336917899091630861293147', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 28.362862797958805, 'bad_primes': [2, 3, 37], 'central_character': '296.221', 'conductor': 3552, 'conductor_radical': 222, 'degree': 2, 'index': 74, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3552/2/o/a/2737/75'], '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': '2-3552-296.221-c1-0-74', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-3552-296.221-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.325679562080205, 'root_angle': -0.24443322496620493, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.79325809830814222482231439528', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2273224704684449698687325195455', 'Lhash_array': ['2273224704684449698687325195455'], 'factors': ['2-3552-296.221-c1-0-74'], 'label': '2-3552-296.221-c1-0-74', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3552/2/o/a/2737/75'}