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lfunc_lfunctions • Show schema
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{'Lhash': '2710051414733092242117960393446', 'a10': [4.830799843615922, -0.9134122598288987], 'a2': [2.190312469547089, 0.19162751066484093], 'a3': [0.0, 0.0], 'a4': [2.791132105385447, 0.49215189690107697], 'a5': [2.152568809150543, -0.6053490909154928], 'a6': [0.0, 0.0], 'a7': [0.0005304581144124126, 0.00037143077041608], 'a8': [1.7716197446838533, 0.4747040798830703], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.233941281861857, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-2.152568809150543, 0.6053490909154928]]]], 'bad_primes': [3, 5], 'central_character': '405.368', 'coefficient_field': 'CDF', 'conductor': 405, 'conductor_radical': 15, 'conjugate': '2626270051413016110827729351491', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.190312469547089, -0.19162751066484093], [1.969615506024416, 0.3472963553338607]], [[1.0, 0], [0, 0]], [[1.0, 0], [-2.152568809150543, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.233941281861857, 'bad_primes': [3, 5], 'central_character': '135.113', 'conductor': 405, 'conductor_radical': 15, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/405/2/r/a/368/14'], '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': '2-405-135.113-c1-0-12', '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': '2-405-135.113-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7983162352216746, 'root_angle': -0.013785481137915029, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.13785361222183083549442324322', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2710051414733092242117960393446', 'Lhash_array': ['2710051414733092242117960393446'], 'label': '2-405-135.113-c1-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/405/2/r/a/368/14'}