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lfunc_lfunctions • Show schema
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{'Lhash': '1424533952786413252270193280083', 'a10': [38.31301699317695, -22.120030674477416], 'a2': [1.211247572384034, -2.097942335913608], 'a3': [0.9572690026826386, -0.552679516385706], 'a4': [5.065758636787569, 8.774151337796924], 'a5': [15.815518588725626, 9.13109391457427], 'a6': [-1.65252603997003e-60, -2.677726890114273], 'a7': [-36.57032847968944, 32.61305068354716], 'a8': [63.303473720658666, 0.0], 'a9': [-39.889090704335324, 69.0899317676322], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.9594871574560155, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [36.57032847968944, -32.61305068354716]]], [11, [[1.0, 0], [-18.2414363469547, -31.595094555959157]]]], 'bad_primes': [7, 11], 'central_character': '77.12', 'coefficient_field': 'CDF', 'conductor': 77, 'conductor_radical': 77, 'conjugate': '2780852620427735603803150171144', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.211247572384034, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.9594871574560155, 'bad_primes': [7, 11], 'central_character': '7.5', 'conductor': 77, 'conductor_radical': 77, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/77/5/g/a/12/17'], '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': '2-77-7.5-c4-0-10', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-77-7.5-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.8212563083590996, 'root_angle': -0.09573331968265955, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '1.12375914351315605066548926839', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1424533952786413252270193280083', 'Lhash_array': ['1424533952786413252270193280083'], 'label': '2-77-7.5-c4-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/77/5/g/a/12/17'}