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'13.61784875165198485825219203222081', '13.64776901001646144077118082940976', '14.82994923139838765169869162226254', '14.97426113238234915340638152515262', '15.37947389080488218696688756903573', '16.19095312274660929696368495158851', '16.28130488900852758725213997978149', '16.52216286400100048398235069591446'], 'prelabel': '6-23e3-1.1-c5e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.9206321500221106, 'root_angle': 1.0, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c5e3-0', 'trace_hash': 1881656822031816888, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.77232553239567056013537377254', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.71137790019432399643875222060', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.31223549562239653015692499360', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 50.19554410564032, 'bad_primes': [23], 'central_character': '1.1', 'conductor': 12167, 'conductor_radical': 23, 'degree': 6, 'dirichlet_coefficients': [1, -4, -20, -32, -58, 80, -282, 72, -104, 232, 136, 640, -1116, 1128, 1160, 704, -896, 416, 1654, 1856, 5640, -544, -1587, -1440, -6679, 4464, 2800, 9024, -844, -4640, -3020, 3712, -2720, 3584, 16356, 3328, 8938, -6616, 22320, -4176, -12792, -22560, -16730, -4352, 6032, 6348, 22500, -14080, 15995, 26716, 17920, 35712, 17108, -11200, -7888, -20304, -33080, 3376, 54176, -37120, -71324, 12080, 29328, -33728, 64728, 10880, -62960, 28672, 31740, -65424, 98400, -7488, -81772, -35752, 133580, -52928, -38352, -89280, 58224, -40832, 61144, 51168, 9892, -180480, 51968, 66920, 16880, 9792, 27542, -24128, 314712, 50784, 60400, -90000, -95932, -74240, -273672, -63980, -14144, 213728], 'euler11': [1, -136, 439465, -42965720, 70776277715, -3527489745736, 4177248169415651], 'euler13': [1, 1116, 1042356, 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{'__RealLiteral__': 0, 'data': '2.77232553239567056013537377254', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3514340125169417419970635609208,4704730422855120487569423764393,5466407914351207261170082937560', 'Lhash_array': ['3514340125169417419970635609208', '4704730422855120487569423764393', '5466407914351207261170082937560'], 'label': '6-23e3-1.1-c5e3-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/23/6/a/a'}