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lfunc_lfunctions • Show schema
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{'Lhash': '2637982096151893052943337447118', 'a10': [0.0, 38.326701932434524], 'a2': [0.0, -3.200221855266107], 'a3': [0.9300729840405739, 5.112236716385291], 'a4': [-2.2414199229228426, 0.0], 'a5': [-11.976264042246395, 0.0], 'a6': [16.360291669070048, -2.9764398905192095], 'a7': [0.0, 0.0], 'a8': [0.0, -18.4287338179623], 'a9': [-25.269928488715724, 9.509506515860505], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.673280770843874, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.9300729840405739, -5.112236716385291]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 7], 'central_character': '147.146', 'coefficient_field': 'CDF', 'conductor': 147, 'conductor_radical': 21, 'conjugate': '508893385041083289296081400351', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 3.200221855266107], [-8.0, 0]], [[1.0, 0], [-0.9300729840405739, -5.112236716385291]], [[1.0, 0], [11.976264042246395, 0], [125.0, 0]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 8.673280770843874, 'bad_primes': [3, 7], 'central_character': '21.20', 'conductor': 147, 'conductor_radical': 21, 'degree': 2, 'index': 28, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/147/4/c/b/146/6'], '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': '2-147-21.20-c3-0-28', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-147-21.20-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.9450434242713426, 'root_angle': 0.44633817841157847, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '2.08100094432720455692244011374', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2637982096151893052943337447118', 'Lhash_array': ['2637982096151893052943337447118'], 'label': '2-147-21.20-c3-0-28', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/147/4/c/b/146/6'}