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lfunc_lfunctions • Show schema
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{'Lhash': '2524680822901186054085490687176', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [-0.18923046932264279, -2.2280466398798593], 'a6': [0, 0], 'a7': [-3.076005850307242, -3.076005850307242], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 17.24768683659657, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0.18923046932264279, 2.2280466398798593]]]], 'bad_primes': [2, 3, 5], 'central_character': '2160.1457', 'coefficient_field': 'CDF', 'conductor': 2160, 'conductor_radical': 30, 'conjugate': '480155886697568726720877032264', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.18923046932264279, 2.2280466398798593]], [[1.0, 0], [3.076005850307242, 3.076005850307242], [0, 7.0]], [[1.0, 0], [0, 5.659958101261232], [-11.0, 0]], [[1.0, 0], [-3.4575220990244246, 3.4575220990244246], [0, 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64}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.99162199934795862295701881032', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.64266568788863543796546037353', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.68349330895747631425570585633', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 17.24768683659657, 'bad_primes': [2, 3, 5], 'central_character': '15.2', 'conductor': 2160, 'conductor_radical': 30, 'degree': 2, 'index': 47, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2160/2/w/g/1457/6'], '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': '2-2160-15.2-c1-0-47', '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': '2-2160-15.2-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.153033449973233, 'root_angle': -0.4765889399688101, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.99162199934795862295701881032', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2524680822901186054085490687176', 'Lhash_array': ['2524680822901186054085490687176'], 'label': '2-2160-15.2-c1-0-47', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2160/2/w/g/1457/6'}