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lfunc_lfunctions • Show schema
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{'Lhash': '1870619189551517222792283693063', 'a10': [0.7710785910513973, -0.9889629105889488], 'a2': [-0.8151032944292004, -2.434217701336572], 'a3': [1.9927157066147145, -1.1195362766485444], 'a4': [-3.6643077889554188, 2.7639097131905204], 'a5': [0.26993836537889687, 0.40715595873794536], 'a6': [-4.3494641592287895, -3.9381661394437235], 'a7': [0.3022859810358342, 0.6670411089659819], 'a8': [5.481565970842334, 3.7617842528938605], 'a9': [1.1570202616407077, -1.899661521902552], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.849294518691866, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[983, [[1.0, 0], [-18.94384456550188, 24.982609012633265]]]], 'bad_primes': [983], 'central_character': '983.492', 'coefficient_field': 'CDF', 'conductor': 983, 'conductor_radical': 983, 'conjugate': '1227462548384201771081463446150', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.8151032944292004, 2.434217701336572], [-1.5967146479555487, 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'rational': False, 'root_analytic_conductor': 2.8016592438574444, 'root_angle': 0.9036018893815583, 'root_number': '-0.9544922876980478 + 0.29823559935887456*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.451800944691', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.47565834719340534481561285813', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.52705417764941343620100714647', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.28602553769022889788128343727', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.849294518691866, 'bad_primes': [983], 'central_character': '983.492', 'conductor': 983, 'conductor_radical': 983, 'degree': 2, 'index': 54, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/983/2/c/a/492/5'], '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': '2-983-983.492-c1-0-54', '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': '2-983-983.492-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.8016592438574444, 'root_angle': 0.45180094469077914, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.47565834719340534481561285813', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1870619189551517222792283693063', 'Lhash_array': ['1870619189551517222792283693063'], 'label': '2-983-983.492-c1-0-54', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/983/2/c/a/492/5'}