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lfunc_lfunctions • Show schema
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{'Lhash': '697438485603884983262050937618', 'a10': [0.0, 0.0], 'a2': [1.7258503614258642, 1.7258503614258642], 'a3': [-2.01057737070902, -2.01057737070902], 'a4': [0.0, 3.9571189400675717], 'a5': [0.0, 0.0], 'a6': [0.0, -6.939911363825652], 'a7': [-0.7258503614258641, -0.7258503614258641], 'a8': [-3.3776944300690226, 3.3776944300690226], 'a9': [0.0, 5.084842727214393], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.188406156649233, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]], [31, [[1.0, 0], [5.53654345006612, 0.5888010067331217]]]], 'bad_primes': [5, 31], 'central_character': '775.557', 'coefficient_field': 'CDF', 'conductor': 775, 'conductor_radical': 155, 'conjugate': '2268432579362740278615127233670', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.7258503614258642, -1.7258503614258642], [0, 2.0]], [[1.0, 0], [2.01057737070902, 2.01057737070902], [0, 3.0]], [[1.0, 0], [0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.188406156649233, 'bad_primes': [5, 31], 'central_character': '155.92', 'conductor': 775, 'conductor_radical': 155, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/775/2/f/f/557/7'], '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': '2-775-155.92-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': '2-775-155.92-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.487650730438104, 'root_angle': -0.3950334552662842, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.55018195508945231827894783702', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '697438485603884983262050937618', 'Lhash_array': ['697438485603884983262050937618'], 'label': '2-775-155.92-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/775/2/f/f/557/7'}