Formats: - HTML - YAML - JSON - 2026-09-22T01:37:30.698419
  • lfunc_lfunctions • Show schema
    {'Lhash': '2164888235869419362436186587062', 'a10': [1.8323703376532245, 0.0], 'a2': [1.8323703376532245, 0.0], 'a3': [1.0, 0.0], 'a4': [1.3575810543113922, 0.0], 'a5': [1.0, 0.0], 'a6': [1.8323703376532245, 0.0], 'a7': [-1.4793091624579797, 0.0], 'a8': [-1.1771494204262627, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 63.361294003886016, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[3, [[1.0, 0], [-1.0, 0]]], [5, [[1.0, 0], [-1.0, 0]]], [23, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 5, 23], 'central_character': '7935.1', 'coefficient_field': 'CDF', 'conductor': 7935, 'conductor_radical': 345, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.8323703376532245, 0], [2.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [1.4793091624579797, 0], [7.0, 0]], [[1.0, 0], [1.0341889067718757, 0], [11.0, 0]], [[1.0, 0], [-2.3116795001112043, 0], [13.0, 0]], [[1.0, 0], [6.5390693542528275, 0], [17.0, 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'6.15410667085462306458885877771192', '6.47334307703313405378614589001480', '7.27647745059524736284157639430612'], 'prelabel': '2-7935-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.959980779115362, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.70779569345026947760004560076', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.58788946138009423763632618378', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.12824367012157628260917790289', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 63.361294003886016, 'bad_primes': [3, 5, 23], 'central_character': '1.1', 'conductor': 7935, 'conductor_radical': 345, 'degree': 2, 'index': 323, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/7935/2/a/bg/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': '2-7935-1.1-c1-0-323', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-7935-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.959980779115362, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.70779569345026947760004560076', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2164888235869419362436186587062', 'Lhash_array': ['2164888235869419362436186587062'], 'factors': ['2-7935-1.1-c1-0-323'], 'label': '2-7935-1.1-c1-0-323', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/7935/2/a/bg/1/5'}