Formats: - HTML - YAML - JSON - 2026-10-07T18:40:42.113832
  • lfunc_lfunctions • Show schema
    {'Lhash': '1854367528360975354634237862255', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [3.360020585824492, 0.0], 'a4': [0.0, 0.0], 'a5': [-1.0, 0.0], 'a6': [0.0, 0.0], 'a7': [1.90754355903902, 0.0], 'a8': [0.0, 0.0], 'a9': [8.289738337164364, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 14.692473971915598, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.0, 0]]], [23, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 23], 'central_character': '1840.1', 'coefficient_field': 'CDF', 'conductor': 1840, 'conductor_radical': 230, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-3.360020585824492, 0], [3.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-1.90754355903902, 0], [7.0, 0]], [[1.0, 0], [-5.480207233954908, 0], [11.0, 0]], [[1.0, 0], [1.0493650409035329, 0], [13.0, 0]], [[1.0, 0], [6.742215363949836, 0], [17.0, 0]], [[1.0, 0], [-1.550489482615036, 0], [19.0, 0]], [[1.0, 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'7.64422522541150567841712381975032', '8.679654147968431029051762360127222', '9.097331557364757832805985247878492'], 'prelabel': '2-1840-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.833076306560515, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.46283804703528930027940476065', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.24996613830601281615029504073', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.39846428044004453365231618992', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 14.692473971915598, 'bad_primes': [2, 5, 23], 'central_character': '1.1', 'conductor': 1840, 'conductor_radical': 230, 'degree': 2, 'index': 29, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1840/2/a/v/1/5'], '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': '2-1840-1.1-c1-0-29', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-1840-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.833076306560515, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.46283804703528930027940476065', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1854367528360975354634237862255', 'Lhash_array': ['1854367528360975354634237862255'], 'factors': ['2-1840-1.1-c1-0-29'], 'label': '2-1840-1.1-c1-0-29', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1840/2/a/v/1/5'}