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lfunc_lfunctions • Show schema
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{'Lhash': '2108322130944603290969553308238', 'a10': [13.557943831765604, 4.022705439712063], 'a2': [2.711588766353121, 0.8045410879424127], 'a3': [2.5890286759495504, 4.505211483949552], 'a4': [6.705427275624878, 4.36316915226833], 'a5': [5.0, 0.0], 'a6': [3.3957533247634704, 14.299260797585232], 'a7': [0.0, -6.992248490057644], 'a8': [14.672012417539493, 17.225912214439237], 'a9': [-13.593861030221838, 23.32824344632523], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.080229200688877, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-2.711588766353121, -0.8045410879424127]]], [3, [[1.0, 0], [-2.5890286759495504, -4.505211483949552]]], [5, [[1.0, 0], [-5.0, 0]]]], 'bad_primes': [2, 3, 5], 'central_character': '120.11', 'coefficient_field': 'CDF', 'conductor': 120, 'conductor_radical': 30, 'conjugate': '3215209119328549825570344248741', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.711588766353121, 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{'__RealLiteral__': 0, 'data': '1.66317290471445233752978972466', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.86248883544642159294474498931', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.58527362169684932362620565289', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.080229200688877, 'bad_primes': [2, 3, 5], 'central_character': '24.11', 'conductor': 120, 'conductor_radical': 30, 'degree': 2, 'index': 26, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/120/4/b/a/11/22'], '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': '2-120-24.11-c3-0-26', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-120-24.11-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6608700082283008, 'root_angle': -0.19529794882988102, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.66317290471445233752978972466', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2108322130944603290969553308238', 'Lhash_array': ['2108322130944603290969553308238'], 'label': '2-120-24.11-c3-0-26', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/120/4/b/a/11/22'}