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  • lfunc_lfunctions • Show schema
    {'Lhash': '1339064626036744455507312233501', 'a10': [2.457729296614336, 3.326303512128473], 'a2': [-0.32117617267967163, 1.8214805890126198], 'a3': [-2.2779695373511264, -1.5950514418653439], 'a4': [-1.335252160680781, -0.48599204172743676], 'a5': [1.5403440158887254, -1.6209072498806938], 'a6': [3.636984777321632, -3.636984777321632], 'a7': [-0.30994008629553793, 3.542631397080363], 'a8': [-0.5355036141658832, 0.9275194673720705], 'a9': [1.618895680925987, 4.447879327796764], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.4772324373936878, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[5, [[1.0, 0], [-1.5403440158887254, 1.6209072498806938]]], [37, [[1.0, 0], [1.7498768100410977, 5.825627103555496]]]], 'bad_primes': [5, 37], 'central_character': '185.98', 'coefficient_field': 'CDF', 'conductor': 185, 'conductor_radical': 185, 'conjugate': '2172140995436402291266128743948', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.05633573304478188498859260837', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.43729657091494257988568598222', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.27267967288401186051940823479', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 1.4772324373936878, 'bad_primes': [5, 37], 'central_character': '185.98', 'conductor': 185, 'conductor_radical': 185, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/185/2/z/a/98/3'], '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': '2-185-185.98-c1-0-1', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-185-185.98-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2154145125814846, 'root_angle': -0.25028282526119866, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.05633573304478188498859260837', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1339064626036744455507312233501', 'Lhash_array': ['1339064626036744455507312233501'], 'factors': ['2-185-185.98-c1-0-1'], 'label': '2-185-185.98-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/185/2/z/a/98/3'}