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lfunc_lfunctions • Show schema
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{'Lhash': '2178799278372381912809979258089', 'a10': [0.0, 151.36838778148817], 'a2': [7.035537624524917, 0.0], 'a3': [0.0, 3.4377633738104842], 'a4': [33.49878966610571, 0.0], 'a5': [0.0, 21.514828838927503], 'a6': [0.0, 24.186513560657378], 'a7': [-36.48627521472208, 32.70705919148888], 'a8': [123.11339307953453, 0.0], 'a9': [69.18178298568716, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.9594871574560155, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [36.48627521472208, -32.70705919148888]]], [11, [[1.0, 0], [-36.4828726939094, 0]]]], 'bad_primes': [7, 11], 'central_character': '77.34', 'coefficient_field': 'CDF', 'conductor': 77, 'conductor_radical': 77, 'conjugate': '3468829733055616248194320970675', 'degree': 2, 'euler_factors': [[[1.0, 0], [-7.035537624524917, 0], [16.0, 0]], [[1.0, 0], [0, -3.4377633738104842], [-81.0, 0]], [[1.0, 0], [0, -21.514828838927503], [-625.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.9594871574560155, 'bad_primes': [7, 11], 'central_character': '7.6', 'conductor': 77, 'conductor_radical': 77, 'degree': 2, 'index': 16, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/77/5/d/a/34/26'], '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': '2-77-7.6-c4-0-16', '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': '2-77-7.6-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.8212563083590996, 'root_angle': -0.11631587049278079, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '1.71876957103172448488776282019', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2178799278372381912809979258089', 'Lhash_array': ['2178799278372381912809979258089'], 'label': '2-77-7.6-c4-0-16', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/77/5/d/a/34/26'}