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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1433442.4899220534, 'bad_primes': [3, 7, 13], 'central_character': '1.1', 'conductor': 6978821031, 'conductor_radical': 273, 'degree': 6, 'dirichlet_coefficients': [1, 0, 9, -13, -27, 0, 0, 7, 54, 0, -19, -117, -39, 0, -243, 65, 25, 0, -169, 351, 0, 0, 28, 63, 210, 0, 270, 0, 274, 0, 118, -182, -171, 0, 0, -702, 151, 0, -351, -189, -66, 0, 598, 247, -1458, 0, -682, 585, 0, 0, 225, 507, -467, 0, 513, 0, -1521, 0, -289, 3159, -577, 0, 0, 44, 1053, 0, 839, -325, 252, 0, 1039, 378, -434, 0, 1890, 2197, 0, 0, -1260, -1755, 1215, 0, 836, 0, -675, 0, 2466, -133, 787, 0, 0, -364, 1062, 0, 4563, -1638, 267, 0, -1026, -2730], 'euler11': [1, 19, 3355, 52645, 4465505, 33659659, 2357947691], 'euler13': [1, 39, 507, 2197, 0, 0, 0], 'euler17': [1, -25, 13071, -255179, 64217823, -603439225, 118587876497], 'euler19': [1, 169, 27040, 2261733, 185467360, 7950753889, 322687697779], 'euler2': [1, 0, 13, -7, 104, 0, 512], 'euler23': [1, -28, 30890, -575155, 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[1, -274, 65448, -11935583, 1596211272, -162981589954, 14507145975869], [1, -118, 67562, -5423567, 2012739542, -104725434358, 26439622160671], [1, -151, 94233, -9299487, 4773184149, -387424687759, 129961739795077], [1, 66, 142702, 3205533, 9835164542, 313506879906, 327381934393961], [1, -598, 277896, -95440011, 22094677272, -3780175103302, 502592611936843], [1, 682, 461881, 152251940, 47953871063, 7351424854378, 1119130473102767], [1, 467, 437855, 134146427, 65186538835, 10350756647243, 3299763591802133], [1, 289, 521573, 103645473, 107120141167, 12190174222249, 8662995818654939], [1, 577, 582415, 231450861, 132197139115, 29727256006297, 11694146092834141], [1, -839, 815995, -499210255, 245421104185, -75894582639791, 27206534396294947], [1, -1039, 1009259, -559869309, 361224897949, -133096194993919, 45848500718449031], [1, 434, 988104, 344792565, 384389253768, 65679054209426, 58871586708267913], [1, 1260, 1969516, 1298400207, 971048199124, 306290193956460, 119851595982618319], [1, 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'6-1911e3-1.1-c3e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 10.618505074678373, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3e3-0', 'trace_hash': 1841305349469496237, 'z1': {'__RealLiteral__': 0, 'data': '0.939951161569732697132348539497', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1191529654149093086400630973548,1281735845302877284809007290952,2194749804780451362514232969595', 'Lhash_array': ['1191529654149093086400630973548', '1281735845302877284809007290952', '2194749804780451362514232969595'], 'factors': ['2-1911-1.1-c3-0-126', '2-1911-1.1-c3-0-141', '2-1911-1.1-c3-0-231'], 'label': '6-1911e3-1.1-c3e3-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1911/4/a/j'}