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lfunc_lfunctions • Show schema
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{'Lhash': '214193873505419844092523269651', 'a10': [0, 0], 'a2': [0, 0], 'a3': [388621.95605889737, -1546233.7480465095], 'a4': [0, 0], 'a5': [0, 199246642.35489693], 'a6': [0, 0], 'a7': [4033340961.0222383, 0], 'a8': [0, 0], 'a9': [-2239811778866.913, -1201800767380.2295], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 205.5806019502736, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '13.0', 'prec': 14}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-388621.95605889737, 1546233.7480465095]]]], 'bad_primes': [2, 3], 'central_character': '48.17', 'coefficient_field': 'CDF', 'conductor': 48, 'conductor_radical': 6, 'conjugate': '1182773251361819125079510043967', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-388621.95605889737, 1546233.7480465095]], [[1.0, 0], [0, -199246642.35489693], [-1490116119384765700, 0]], [[1.0, 0], [-4033340961.0222383, 0], [9387480337647754000000, 0]], [[1.0, 0], [0, -41262487391286.33], 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'prec': 67}, 'spectral_label': 'c26-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.16896917294628039530735106349', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.54201182034488602594181273061', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.03487755510861801741763835321', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 205.5806019502736, 'bad_primes': [2, 3], 'central_character': '3.2', 'conductor': 48, 'conductor_radical': 6, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/48/27/e/b/17/5'], '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': '2-48-3.2-c26-0-5', 'motivic_weight': 26, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [26], 'order_of_vanishing': 0, 'prelabel': '2-48-3.2-c26-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 14.338082227071848, 'root_angle': -0.21081059226852025, 'self_dual': False, 'spectral_label': 'c26-0', 'z1': {'__RealLiteral__': 0, 'data': '0.16896917294628039530735106349', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '214193873505419844092523269651', 'Lhash_array': ['214193873505419844092523269651'], 'label': '2-48-3.2-c26-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/48/27/e/b/17/5'}