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lfunc_lfunctions • Show schema
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{'Lhash': '2701137071414564606559667667024', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [2.491473964914397, 1.671094695746993], 'a4': [0.0, 0.0], 'a5': [4.199055549438503, -2.714393577344618], 'a6': [0.0, 0.0], 'a7': [0.0, -12.769210654136339], 'a8': [0.0, 0.0], 'a9': [3.41488503569253, 8.326977854720356], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.269763172323563, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-2.491473964914397, -1.671094695746993]]], [5, [[1.0, 0], [-4.199055549438503, 2.714393577344618]]]], 'bad_primes': [2, 3, 5], 'central_character': '120.89', 'coefficient_field': 'CDF', 'conductor': 120, 'conductor_radical': 30, 'conjugate': '2308896694231485669825829794851', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-2.491473964914397, -1.671094695746993]], [[1.0, 0], [-4.199055549438503, 2.714393577344618]], [[1.0, 0], [0, 12.769210654136339], [-49.0, 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{'__RealLiteral__': 0, 'data': '5.67317692769647442407234042253', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.269763172323563, 'bad_primes': [2, 3, 5], 'central_character': '15.14', 'conductor': 120, 'conductor_radical': 30, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/120/3/c/a/89/10'], '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': '2-120-15.14-c2-0-7', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-120-15.14-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.8082486478146647, 'root_angle': 0.0026970470194415783, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '2.13082143528212624652951049034', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2701137071414564606559667667024', 'Lhash_array': ['2701137071414564606559667667024'], 'label': '2-120-15.14-c2-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/120/3/c/a/89/10'}