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lfunc_lfunctions • Show schema
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{'Lhash': '2798983540913909687254006174471', 'a10': [-1.7829022914421728, 1.3495404474006139], 'a2': [-0.5406408174555976, -0.8412535328311812], 'a3': [0.6659930125320146, 0.09575533915442594], 'a4': [-0.41541501300188644, 0.9096319953545183], 'a5': [-0.17139591678558486, -2.229489502040597], 'a6': [-0.27950848936391565, -0.6120382194696252], 'a7': [1.6232948121353832, -1.4065929616868742], 'a8': [0.9898214418809327, -0.14231483827328514], 'a9': [-2.4441013130786033, -0.7176528969453273], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.8365592464894498, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.5406408174555976, 0.8412535328311812]]], [5, [[1.0, 0], [0.17139591678558486, 2.229489502040597]]], [23, [[1.0, 0], [2.94656308257576, -3.7838823978027696]]]], 'bad_primes': [2, 5, 23], 'central_character': '230.219', 'coefficient_field': 'CDF', 'conductor': 230, 'conductor_radical': 230, 'conjugate': 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[[1.0, 0], [-1.8648496910355334, 6.351094795206277], [-69.82404322498803, -44.8731878488146]], [[1.0, 0], [0.6221360315163376, -4.327051144021004], [-85.39487465169027, -25.074197558887242]], [[1.0, 0], [1.5170971697205045, 5.166758471072121], [-81.60159268462458, 52.442159293192965]], [[1.0, 0], [12.286946237081892, 3.607772932516618], [84.9666068159493, 54.60472256301536]], [[1.0, 0], [-7.7041405938361756, 11.987876761682145], [-42.7877463391943, -93.6920955215154]], [[1.0, 0], [3.893926372635356, -0.5598620907995462], [102.66574817675122, -30.145383582032977]], [[1.0, 0], [4.078021030497479, 8.929620478237906], [-71.37982000003608, 82.37670360461415]], [[1.0, 0], [2.592426348552404, 4.033894138049359], [-46.94189646921317, 102.78841547506057]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 9, 'label': '2-230-115.104-c1-0-9', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 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0.5172479723280943, 'root_number': '-0.05415959077315234 + 0.9985322922806676*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.258623986164', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.20800868978405972867055828281', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.77989219493178442352667526195', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.53209331155583144735600083735', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.8365592464894498, 'bad_primes': [2, 5, 23], 'central_character': '115.104', 'conductor': 230, 'conductor_radical': 230, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/230/2/j/a/219/4'], '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': '2-230-115.104-c1-0-9', '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': '2-230-115.104-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.355197124587213, 'root_angle': 0.25862398616404714, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.20800868978405972867055828281', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2798983540913909687254006174471', 'Lhash_array': ['2798983540913909687254006174471'], 'label': '2-230-115.104-c1-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/230/2/j/a/219/4'}