Formats: - HTML - YAML - JSON - 2026-10-17T03:23:41.237505
  • lfunc_lfunctions • Show schema
    {'Lhash': '751808344984544796775424423634', 'a10': [0.0, 0.0], 'a2': [0.0, 1.8793852415718169], 'a3': [0.0, 1.0], 'a4': [-2.5320888862379562, 0.0], 'a5': [0.0, 0.0], 'a6': [-1.8793852415718169, 0.0], 'a7': [0.0, 1.532088886237956], 'a8': [0.0, -2.879385241571817], 'a9': [-1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.0854664024767802, 'analytic_normalization': 0, 'bad_lfactors': [[3, [[1.0, 0], [0, -1.0]]], [5, [[1.0, 0], [0, 0]]], [29, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [3, 5, 29], 'central_character': '2175.2174', 'coefficient_field': 'CDF', 'conductor': 2175, 'conductor_radical': 435, 'conjugate': '3120510580040145016286835170811', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -1.8793852415718169], [-1.0, 0]], [[1.0, 0], [0, -1.0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -1.532088886237956], [-1.0, 0]], [[1.0, 0], [0.3472963553338607, 0], [1.0, 0]], [[1.0, 0], [0, -1.8793852415718169], [-1.0, 0]], [[1.0, 0], [0, 0.3472963553338607], [-1.0, 0]], [[1.0, 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'2-2175-435.434-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.0418571890987651, 'root_angle': 0.17620819117478337, 'root_number': '0.44721359549995793928183473374601 + 0.89442719099991587856366946749279*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.17620819117478337', 'prec': 57}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.59307221157721873904594030647', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '1.35548121006515235899879292803', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '2.66794085219172610065449103803', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 1.0854664024767802, 'bad_primes': [3, 5, 29], 'central_character': '435.434', 'conductor': 2175, 'conductor_radical': 435, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2175/1/b/c/2174/6'], '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': '2-2175-435.434-c0-0-2', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-2175-435.434-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.0418571890987651, 'root_angle': 0.17620819117478337, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.59307221157721873904594030647', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '751808344984544796775424423634', 'Lhash_array': ['751808344984544796775424423634'], 'factors': ['2-2175-435.434-c0-0-2'], 'label': '2-2175-435.434-c0-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2175/1/b/c/2174/6'}