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'17.70115337145780505421991111456764', '19.08117028631012313255617425684249', '20.28532374838293855514717649071381', '20.58561056656826117159746637880205', '21.47064512361908584399553012875010', '22.44011139079520987686395056832584', '23.74338877657051435643787226644169', '24.20318576127480771016158811837006', '24.84457899962566353199445389259473'], 'prelabel': '4-3e2-1.1-c10e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.380605576557321, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c10e2-0', 'trace_hash': 679532711257155789, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.08462692934217493550687428847', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '5.24946800564837304581190225336', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '7.16165388174068795820950336271', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.633109546725926, 'bad_primes': [3], 'central_character': '1.1', 'conductor': 9, 'conductor_radical': 3, 'degree': 4, 'dirichlet_coefficients': [1, 0, -54, 1328, 0, 0, 34468, 0, -56133, 0, 0, -71712, -339308, 0, 0, 715008, 0, 0, -1898924, 0, -1861272, 0, 0, 0, 11441330, 0, 6219828, 45773504, 0, 0, -59586236, 0, 0, 0, 0, -74544624, -121623692, 0, 18322632, 0, 0, 0, 214839412, 0, 0, 0, 0, -38610432, 326081770, 0, 0, -450601024, 0, 0, 0, 0, 102541896, 0, 0, 0, 2061587284, 0, -1934792244, -442978304, 0, 0, 3753484948, 0, 0, 0, 0, 0, -5693056988, 0, -617831820, -2521771072, 0, 0, 2977295236, 0, 2978726805, 0, 0, -2471769216, 0, 0, 0, 0, 0, 0, -11695268144, 0, 3217656744, 0, 0, 0, -3185897852, 0, 0, 15194086240], 'euler11': [1, 0, -16976849522, 0, 672749994932560009201], 'euler13': [1, 339308, 304499463414, 46776489152300492, 19004963774880799438801], 'euler17': [1, 0, -3914170410818, 0, 4064231406647572522401601], 'euler19': [1, 1898924, 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'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': '4-3e2-1.1-c10e2-0-0', 'motivic_weight': 10, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [10, 10], 'order_of_vanishing': 0, 'prelabel': '4-3e2-1.1-c10e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.380605576557321, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c10e2-0', 'trace_hash': 679532711257155789, 'z1': {'__RealLiteral__': 0, 'data': '2.08462692934217493550687428847', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2642578578232538818727925283283,6654491268239046421652505760402', 'Lhash_array': ['2642578578232538818727925283283', '6654491268239046421652505760402'], 'label': '4-3e2-1.1-c10e2-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3/11/b/a'}