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lfunc_lfunctions • Show schema
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{'Lhash': '4266996197329513152043658949813', 'a10': [-0.4490661409147457, -0.0758180293549424], 'a2': [0.9704889691387937, -1.0286647465427798], 'a3': [0.44043014150495036, -1.675118291480912], 'a4': [-0.11630232155984334, -1.9966155789234419], 'a5': [-0.17891120111085645, -0.267759534587912], 'a6': [-1.2957025387285945, -2.078738783765838], 'a7': [-0.8627081366583061, 2.082761683890104], 'a8': [-2.166718178595709, -1.8180572968261737], 'a9': [-2.612042580907859, -1.4755451723089374], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.5331277188085841, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.9704889691387937, 1.0286647465427798]]], [3, [[1.0, 0], [-0.44043014150495036, 1.675118291480912]]]], 'bad_primes': [2, 3], 'central_character': '192.107', 'coefficient_field': 'CDF', 'conductor': 192, 'conductor_radical': 6, 'conjugate': '1962233614611074066506442806946', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.5331277188085841, 'bad_primes': [2, 3], 'central_character': '192.107', 'conductor': 192, 'conductor_radical': 6, 'degree': 2, 'index': 28, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/192/2/s/a/107/23'], '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': '2-192-192.107-c1-0-28', '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': '2-192-192.107-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2381953475960827, 'root_angle': 0.31001383760487194, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '3.36606648279997486158733950256', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '4266996197329513152043658949813', 'Lhash_array': ['4266996197329513152043658949813'], 'factors': ['2-192-192.107-c1-0-28'], 'label': '2-192-192.107-c1-0-28', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/192/2/s/a/107/23'}