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lfunc_lfunctions • Show schema
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{'Lhash': '2298791841834299115743096352038', 'a10': [0.0, 0.0], 'a2': [2.66387630660176, -0.46971326612390546], 'a3': [1.3730419854530147, 1.960907174697958], 'a4': [4.996221182929631, -1.8184757943966605], 'a5': [0.0, 0.0], 'a6': [4.578678126610902, 4.578678126610902], 'a7': [-3.608372114509167, 0.3156916538026195], 'a8': [7.770006008197888, -4.48601506043806], 'a9': [-0.9338522239881661, 2.5657378985149664], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.3861621869684395, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]], [37, [[1.0, 0], [4.532503133623761, 4.056650754463685]]]], 'bad_primes': [5, 37], 'central_character': '925.868', 'coefficient_field': 'CDF', 'conductor': 925, 'conductor_radical': 185, 'conjugate': '2778867401343263020191897842077', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.66387630660176, 0.46971326612390546], [1.8793852415718169, -0.6840402866513374]], [[1.0, 0], 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[[1.0, 0], [-8.756550720685537, -5.055596915760406], [50.5, 87.4685657822283]], [[1.0, 0], [-4.9242489102808245, -8.529049301722065], [-51.5, 89.20061658979718]], [[1.0, 0], [-0.4852753431902596, 1.0406763318241627], [-68.77827423645971, -81.96675541373065]], [[1.0, 0], [-3.25900231319685, -2.281977986743316], [37.28019562249789, 102.42649566566402]], [[1.0, 0], [2.0716917175125165, 11.749147573381322], [-106.18526614880764, 38.64827619580057]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 47, 'label': '2-925-185.128-c1-0-47', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/925/2/bq/b/868/17', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 10}, 'plot_values': [5.642263308024026, 5.542885414682658, 5.450481353539552, 5.349510447119298, 5.219421776129746, 5.038381273909378, 4.786835881770067, 4.450490075056236, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.3861621869684395, 'bad_primes': [5, 37], 'central_character': '185.128', 'conductor': 925, 'conductor_radical': 185, 'degree': 2, 'index': 47, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/925/2/bq/b/868/17'], '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': '2-925-185.128-c1-0-47', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-925-185.128-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.717749470971973, 'root_angle': -0.059022363366312156, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.81342701326408219571534996117', 'prec': 100}}
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lfunc_instances • Show schema
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{'Lhash': '2298791841834299115743096352038', 'Lhash_array': ['2298791841834299115743096352038'], 'factors': ['2-925-185.128-c1-0-47'], 'label': '2-925-185.128-c1-0-47', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/925/2/bq/b/868/17'}