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lfunc_lfunctions • Show schema
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{'Lhash': '537168252598085789375980293898', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.7071067811865476, 0.7071067811865476], 'a4': [0.0, 0.0], 'a5': [0.8608852257657662, 2.063704588369718], 'a6': [0.0, 0.0], 'a7': [0.7073975396444646, 0.0], 'a8': [0.0, 0.0], 'a9': [0.0, -1.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.665638594042921, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0.7071067811865476, -0.7071067811865476]]], [5, [[1.0, 0], [-0.8608852257657662, -2.063704588369718]]]], 'bad_primes': [2, 3, 5], 'central_character': '960.529', 'coefficient_field': 'CDF', 'conductor': 960, 'conductor_radical': 30, 'conjugate': '2481246576625460644024530975793', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0.7071067811865476, -0.7071067811865476]], [[1.0, 0], [-0.8608852257657662, -2.063704588369718]], [[1.0, 0], [-0.7073975396444646, 0], [7.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.665638594042921, 'bad_primes': [2, 3, 5], 'central_character': '80.29', 'conductor': 960, 'conductor_radical': 30, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/960/2/bl/a/529/9'], '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': '2-960-80.29-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': '2-960-80.29-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.768688966648822, 'root_angle': -0.4262416830142376, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.42375103400051508239134159372', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '537168252598085789375980293898', 'Lhash_array': ['537168252598085789375980293898'], 'label': '2-960-80.29-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/960/2/bl/a/529/9'}