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lfunc_lfunctions • Show schema
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{'Lhash': '1152787347517276170237003104211', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, 0.0], 'a4': [0.0, 0.0], 'a5': [0.13397459621556135, 2.232050807568877], 'a6': [0.0, 0.0], 'a7': [1.7320508075688772, 2.0], 'a8': [0.0, 0.0], 'a9': [-1.5, -2.598076211353316], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.471622513191703, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-0.13397459621556135, -2.232050807568877]]], [7, [[1.0, 0], [-1.7320508075688772, -2.0]]]], 'bad_primes': [2, 5, 7], 'central_character': '560.529', 'coefficient_field': 'CDF', 'conductor': 560, 'conductor_radical': 70, 'conjugate': '2247454124638952539364856985521', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0], [1.5, 2.598076211353316]], [[1.0, 0], [-0.13397459621556135, -2.232050807568877]], [[1.0, 0], [-1.7320508075688772, -2.0]], [[1.0, 0], [-1.5, 2.598076211353316], [-5.5, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.471622513191703, 'bad_primes': [2, 5, 7], 'central_character': '35.4', 'conductor': 560, 'conductor_radical': 70, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/560/2/bw/d/529/1'], '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': '2-560-35.4-c1-0-3', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-560-35.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.114621127576215, 'root_angle': -0.19638114422872952, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.909388870489807595718687289013', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1152787347517276170237003104211', 'Lhash_array': ['1152787347517276170237003104211'], 'label': '2-560-35.4-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/560/2/bw/d/529/1'}