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  • lfunc_lfunctions • Show schema
    {'Lhash': '706796917066684724307541529600', 'a10': [-532.4893520879633, -3966.561460300537], 'a2': [-11.21312044804967, 1.505300573815857], 'a3': [0, 0], 'a4': [123.4681403649393, -33.758233289430976], 'a5': [0, 353.7428745796137], 'a6': [0, 0], 'a7': [0, -343.0], 'a8': [-1333.6468414671779, 564.3917985270696], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 78.72102642199872, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [11.21312044804967, -1.505300573815857]]], [3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0, 343.0]]]], 'bad_primes': [2, 3, 7], 'central_character': '252.71', 'coefficient_field': 'CDF', 'conductor': 252, 'conductor_radical': 42, 'conjugate': '857976285532732125668623406955', 'degree': 2, 'euler_factors': [[[1.0, 0], [11.21312044804967, -1.505300573815857]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -353.7428745796137], [-78125.0, 0]], [[1.0, 0], [0, 343.0]], [[1.0, 0], [-1812.8215871839816, 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'data': '-0.14043405737991196', 'prec': 57}, 'spectral_label': 'c7-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.55756445580464531966727448626', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '1.62625619743287622377543650491', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '2.85565070762843154735858877214', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 78.72102642199872, 'bad_primes': [2, 3, 7], 'central_character': '12.11', 'conductor': 252, 'conductor_radical': 42, 'degree': 2, 'index': 30, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/252/8/e/a/71/6'], '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': '2-252-12.11-c7-0-30', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-252-12.11-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.87248704828577, 'root_angle': -0.14043405737991194, 'self_dual': False, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '0.55756445580464531966727448626', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '706796917066684724307541529600', 'Lhash_array': ['706796917066684724307541529600'], 'factors': ['2-252-12.11-c7-0-30'], 'label': '2-252-12.11-c7-0-30', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/252/8/e/a/71/6'}