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lfunc_lfunctions • Show schema
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{'Lhash': '4873622368094040866761733719359', 'a10': [-2.1498509931630956, 0.4410932042597518], 'a2': [0.692401365425807, -1.2331181407944976], 'a3': [-1.1865560058675912, -2.598195234731017], 'a4': [-1.0411606983129562, -1.707625368834885], 'a5': [-1.0162398975410136, -1.172803361382492], 'a6': [-4.025454675889546, -0.33583019226659194], 'a7': [4.2543841444653605, 2.734126671531563], 'a8': [-2.826604909130769, 0.1015120075549518], 'a9': [-3.3781211208826565, 3.898559597310513], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.4692473971915598, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.692401365425807, 1.2331181407944976]]], [23, [[1.0, 0], [-3.0857074179250503, 3.6712953750634556]]]], 'bad_primes': [2, 23], 'central_character': '184.107', 'coefficient_field': 'CDF', 'conductor': 184, 'conductor_radical': 46, 'conjugate': '1424890651576564329541757164337', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'-0.9838365822251395 + 0.17906864459071686*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.471345789736', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '3.84461015300003628172809360827', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.37346824196515804514713576596', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.37223811187821526009440401016', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.4692473971915598, 'bad_primes': [2, 23], 'central_character': '184.107', 'conductor': 184, 'conductor_radical': 46, 'degree': 2, 'index': 21, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/184/2/j/a/107/15'], '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': '2-184-184.107-c1-0-21', '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': '2-184-184.107-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.212125157395704, 'root_angle': 0.47134578973590163, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '3.84461015300003628172809360827', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '4873622368094040866761733719359', 'Lhash_array': ['4873622368094040866761733719359'], 'label': '2-184-184.107-c1-0-21', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/184/2/j/a/107/15'}