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lfunc_lfunctions • Show schema
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{'Lhash': '3383880525397521571266897163819', 'a10': [27.302282933291746, 0.0], 'a2': [4.288568944086358, 0.0], 'a3': [-2.8503880169265323, 0.0], 'a4': [10.391823588181982, 0.0], 'a5': [6.366292180271397, 0.0], 'a6': [-12.224085527987027, 0.0], 'a7': [-29.4307828364911, 0.0], 'a8': [10.257500360010448, 0.0], 'a9': [-18.87528815296163, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 17.051551991659046, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[17, [[1.0, 0], [0, 0]]]], 'bad_primes': [17], 'central_character': '289.1', 'coefficient_field': 'CDF', 'conductor': 289, 'conductor_radical': 17, 'degree': 2, 'euler_factors': [[[1.0, 0], [-4.288568944086358, 0], [8.0, 0]], [[1.0, 0], [2.8503880169265323, 0], [27.0, 0]], [[1.0, 0], [-6.366292180271397, 0], [125.0, 0]], [[1.0, 0], [29.4307828364911, 0], [343.0, 0]], [[1.0, 0], [61.35946844394512, 0], [1331.0, 0]], [[1.0, 0], [-18.558239181649455, 0], [2197.0, 0]], [[1.0, 0], [0, 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'4.98689887679114743215200727867452', '5.81714747595891308493470587967504', '6.26133384294909824008489140311867', '7.60186484150607411021742420230408', '9.241960682136902541950362826713393', '10.15581888790174070642541458905024', '11.19321496561140884396605412157871'], 'prelabel': '2-17e2-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.129352490604193, 'root_angle': 1.0, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.66941105442484189568232135199', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.37531954117928163134716772537', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.98689887679114743215200727867', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 17.051551991659046, 'bad_primes': [17], 'central_character': '1.1', 'conductor': 289, 'conductor_radical': 17, 'degree': 2, 'index': 57, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/289/4/a/h/1/10'], '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': '2-17e2-1.1-c3-0-57', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 1, 'prelabel': '2-17e2-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.129352490604193, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '2.66941105442484189568232135199', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3383880525397521571266897163819', 'Lhash_array': ['3383880525397521571266897163819'], 'label': '2-17e2-1.1-c3-0-57', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/289/4/a/h/1/10'}