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  • lfunc_lfunctions • Show schema
    {'Lhash': '1517562301661011263847842686831', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-1.1149075414767557, 0.0], 'a4': [0.0, 0.0], 'a5': [1.4728339089952556, 0.0], 'a6': [0.0, 0.0], 'a7': [-1.0, 0.0], 'a8': [0.0, 0.0], 'a9': [-1.7569811739582561, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 60.81406617940717, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [1.0, 0]]], [17, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 7, 17], 'central_character': '7616.1', 'coefficient_field': 'CDF', 'conductor': 7616, 'conductor_radical': 238, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.1149075414767557, 0], [3.0, 0]], [[1.0, 0], [-1.4728339089952556, 0], [5.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-2.0, 0], [11.0, 0]], [[1.0, 0], [0.7158527350369995, 0], [13.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-1.2841472649630006, 0], [19.0, 0]], [[1.0, 0], [-2.2298150829535115, 0], 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'7.36078431838473837543093332180460'], 'prelabel': '2-7616-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.798337398407892, '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': '1.19714557101758753292908131097', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.22686654450316719803388932934', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.10489677150231877786290367268', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 60.81406617940717, 'bad_primes': [2, 7, 17], 'central_character': '1.1', 'conductor': 7616, 'conductor_radical': 238, 'degree': 2, 'index': 132, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/7616/2/a/bg/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': '2-7616-1.1-c1-0-132', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-7616-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.798337398407892, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.19714557101758753292908131097', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1517562301661011263847842686831', 'Lhash_array': ['1517562301661011263847842686831'], 'factors': ['2-7616-1.1-c1-0-132'], 'label': '2-7616-1.1-c1-0-132', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/7616/2/a/bg/1/1'}