Formats: - HTML - YAML - JSON - 2026-09-15T03:41:43.108817
  • lfunc_lfunctions • Show schema
    {'Lhash': '2615528233275396349499490013549', 'a10': [0.0, 0.0], 'a2': [0.0, -1.0], 'a3': [1.0, -1.0], 'a4': [1.0, 0.0], 'a5': [0.0, 0.0], 'a6': [-1.0, -1.0], 'a7': [3.0, -3.0], 'a8': [0.0, -3.0], 'a9': [0.0, 1.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.3861621869684395, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]], [37, [[1.0, 0], [6.0, 1.0]]]], 'bad_primes': [5, 37], 'central_character': '925.43', 'coefficient_field': 'CDF', 'conductor': 925, 'conductor_radical': 185, 'conjugate': '1507845278792040617194940648508', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 1.0], [-2.0, 0]], [[1.0, 0], [-1.0, 1.0], [0, -3.0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-3.0, 3.0], [0, -7.0]], [[1.0, 0], [0, 2.0], [-11.0, 0]], [[1.0, 0], [0, 2.0], [-13.0, 0]], [[1.0, 0], [4.0, 0], [17.0, 0]], [[1.0, 0], [3.0, -3.0], [0, -19.0]], [[1.0, 0], [0, -8.0], [-23.0, 0]], [[1.0, 0], [-7.0, -7.0], [0, 29.0]], [[1.0, 0], 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'data': '0.326322246946', 'prec': 40}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.06328796973274289544140808536', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.71879321911847734031924670457', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.49344072393122078262140021508', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 7.3861621869684395, 'bad_primes': [5, 37], 'central_character': '185.43', 'conductor': 925, 'conductor_radical': 185, 'degree': 2, 'index': 48, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/925/2/f/b/43/1'], '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': '2-925-185.43-c1-0-48', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-925-185.43-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.717749470971973, 'root_angle': 0.3263222469460484, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.06328796973274289544140808536', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2615528233275396349499490013549', 'Lhash_array': ['2615528233275396349499490013549'], 'factors': ['2-925-185.43-c1-0-48'], 'label': '2-925-185.43-c1-0-48', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/925/2/f/b/43/1'}