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lfunc_lfunctions • Show schema
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-
lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.37640782133997414, 'bad_primes': [3, 5], 'central_character': '1.1', 'conductor': 2562890625, 'conductor_radical': 15, 'degree': 16, 'dirichlet_coefficients': [1, 0, -6, 0, 0, 0, -16, 0, 18, 0, 0, 0, 68, 0, 0, 79, 0, 0, 0, 0, 96, 0, 0, 0, -110, 0, 198, 0, 0, 0, 616, 0, 0, 0, 0, 0, -1156, 0, -408, 0, 0, 0, 548, 0, 0, 0, 0, -474, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, -288, 0, 0, 0, 404, 0, 0, 0, 0, 0, -2512, 0, 660, 0, 0, 0, 0, 0, -1278, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1088, 0, -3696, 0, 0, 0, 1904, 0, 0, 0], 'euler11': [1, 0, -6668, 0, 23701528, 0, -53774399396, 0, 85262300555470, 0, -95264628768377156, 0, 74385548046847329688, 0, -37073528646366199515308, 0, 9849732675807611094711841], 'euler13': [1, -68, 2312, -194140, 26324624, -1134357844, 35118972504, -2712014278764, 208067507527870, -5958295370444508, 169512572553059736, -12029297045455631812, 613313330769306272144, -9937229269755579563980, 259996900872925492914248, 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'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3, 3, 3, 3, 3, 3, 3, 3], 'order_of_vanishing': 0, 'prelabel': '16-15e8-1.1-c3e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.9407596133370679, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e8-0', 'trace_hash': 926192766922848477, 'z1': {'__RealLiteral__': 0, 'data': '1.33574749407580803200854942549', 'prec': 103}}
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{'Lhash': '1693261112618551348384099661968,3578638622009654406502272837500,3962181962054899799273330835515,4841458066518256428783484086996,4944541425254761490017965493010,5925026136641079599192564508027,5953647002961763973383055047659,7060322560569050718462398090531', 'Lhash_array': ['1693261112618551348384099661968', '3578638622009654406502272837500', '3962181962054899799273330835515', '4841458066518256428783484086996', '4944541425254761490017965493010', '5925026136641079599192564508027', '5953647002961763973383055047659', '7060322560569050718462398090531'], 'factors': ['2-15-15.2-c3-0-0', '2-15-15.2-c3-0-1', '2-15-15.8-c3-0-0', '2-15-15.8-c3-0-1', '2-15-15.8-c3-0-2', '2-15-15.2-c3-0-2', '2-15-15.2-c3-0-3', '2-15-15.8-c3-0-3'], 'label': '16-15e8-1.1-c3e8-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/15/4/e/a'}