Formats: - HTML - YAML - JSON - 2026-09-21T08:52:16.289287
  • lfunc_lfunctions • Show schema
    {'Lhash': '1033483754355240396299839436789', 'a10': [0.0, 0.0], 'a2': [-2.3913823806309007, 0.0], 'a3': [1.0, 0.0], 'a4': [3.718709690391915, 0.0], 'a5': [0.0, 0.0], 'a6': [-2.3913823806309007, 0.0], 'a7': [1.3273273097610139, 0.0], 'a8': [-4.110092071022816, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 17.367462439628493, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[3, [[1.0, 0], [-1.0, 0]]], [5, [[1.0, 0], [0, 0]]], [29, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [3, 5, 29], 'central_character': '2175.1', 'coefficient_field': 'CDF', 'conductor': 2175, 'conductor_radical': 435, 'degree': 2, 'euler_factors': [[[1.0, 0], [2.3913823806309007, 0], [2.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.3273273097610139, 0], [7.0, 0]], [[1.0, 0], [-3.0, 0], [11.0, 0]], [[1.0, 0], [6.110092071022816, 0], [13.0, 0]], [[1.0, 0], [0.6726726902389861, 0], [17.0, 0]], [[1.0, 0], [5.43741938078383, 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'7.09860990898367678667105539683366', '7.67669623247393556519258627824799', '8.459932900895329354240406095714705', '9.094643408536488392872081325238649'], 'prelabel': '2-2175-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.167428756395062, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.815274929991884740931393064079', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.01969015414635785340615067494', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '2.66993356258791298783687593554', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 17.367462439628493, 'bad_primes': [3, 5, 29], 'central_character': '1.1', 'conductor': 2175, 'conductor_radical': 435, 'degree': 2, 'index': 22, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2175/2/a/u/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': '2-2175-1.1-c1-0-22', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-2175-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.167428756395062, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.815274929991884740931393064079', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1033483754355240396299839436789', 'Lhash_array': ['1033483754355240396299839436789'], 'factors': ['2-2175-1.1-c1-0-22'], 'label': '2-2175-1.1-c1-0-22', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2175/2/a/u/1/1'}