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  • lfunc_lfunctions • Show schema
    {'Lhash': '633667887868392761325341075879', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [-1.824670676739918, -1.2925079966659743], 'a6': [0, 0], 'a7': [0, 2.543662307036246], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 27.308837491277906, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.824670676739918, 1.2925079966659743]]], [19, [[1.0, 0], [-2.704978646313936, -3.418053616166023]]]], 'bad_primes': [2, 3, 5, 19], 'central_character': '3420.2629', 'coefficient_field': 'CDF', 'conductor': 3420, 'conductor_radical': 570, 'conjugate': '856821541440149534258544662404', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.824670676739918, 1.2925079966659743]], [[1.0, 0], [0, -2.543662307036246], [-7.0, 0]], [[1.0, 0], [2.2237679437689413, 0], [11.0, 0]], [[1.0, 0], [6.081158104789313, 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'primitive': True, 'rational': False, 'root_analytic_conductor': 5.225785825239866, 'root_angle': -0.05791635234570554, 'root_number': '0.93451613411846516036554206445921763927706134775085586404 - 0.3559207707795076640530714373264541198919554420288701366*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.05791635234570554', 'prec': 54}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.49987582363334691852378781752', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '2.08764105155139581372616022141', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.02384114531867683699355562403', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 27.308837491277906, 'bad_primes': [2, 3, 5, 19], 'central_character': '95.64', 'conductor': 3420, 'conductor_radical': 570, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3420/2/bj/c/2629/3'], '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': '2-3420-95.64-c1-0-10', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-3420-95.64-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.225785825239866, 'root_angle': -0.05791635234570554, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.49987582363334691852378781752', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '633667887868392761325341075879', 'Lhash_array': ['633667887868392761325341075879'], 'factors': ['2-3420-95.64-c1-0-10'], 'label': '2-3420-95.64-c1-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3420/2/bj/c/2629/3'}