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lfunc_lfunctions • Show schema
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{'Lhash': '2956767343189150212316119188064', 'a10': [0.2737950098693433, 2.219242278925545], 'a2': [-0.9876883405951378, 0.15643446504023087], 'a3': [-0.17642160579825608, -0.34624689693774574], 'a4': [0.9510565162951535, -0.30901699437494745], 'a5': [0.0767418397372994, -2.2347506997501387], 'a6': [0.22841451117030528, 0.3143856035480691], 'a7': [-0.013687033437198978, -0.006973891864334086], 'a8': [-0.8910065241883679, 0.4539904997395468], 'a9': [1.6745934262308366, -2.3048801160040013], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.8783544222340847, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.9876883405951378, -0.15643446504023087]]], [5, [[1.0, 0], [-0.0767418397372994, 2.2347506997501387]]], [11, [[1.0, 0], [-2.433432593820821, 2.253531852743704]]]], 'bad_primes': [2, 5, 11], 'central_character': '110.7', 'coefficient_field': 'CDF', 'conductor': 110, 'conductor_radical': 110, 'conjugate': 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{'__RealLiteral__': 0, 'data': '0.134531661261', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.33247816287611911136931004971', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.21462900478563658545352072343', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '6.19309470777183387510697281519', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.8783544222340847, 'bad_primes': [2, 5, 11], 'central_character': '55.7', 'conductor': 110, 'conductor_radical': 110, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/110/2/k/a/7/2'], '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': '2-110-55.7-c1-0-1', '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': '2-110-55.7-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.9372056456477866, 'root_angle': 0.13453166126102728, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.33247816287611911136931004971', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2956767343189150212316119188064', 'Lhash_array': ['2956767343189150212316119188064'], 'label': '2-110-55.7-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/110/2/k/a/7/2'}