------------------------------- Table 3: a_i's, m_i's, b_i's, p_i's ------------------------------- [1,3,4,10,16,34,2,8,5,14,56,26] [2,3,9,18,36,36,5,10,15,30,60,60] [1,6,41,10,4,105,23,7,33,2,45,16] [3,7,73,19,37,109,31,11,151,331,61,1321] ------------------------------- Table 4: a_i's, m_i's, b_i's, p_i's ------------------------------- [2,3,5,1,5,9,25] [2,4,8,16,12,24,48] [1,2,8,129,11,233,48] [3,5,17,257,13,241,97] ------------------------------- Data for Theorem 3: a_i's, m_i's, b_i's, p_i's (for ell) ------------------------------- [1,4,32,0,8,16] [2,8,48,24,16,48] [2,4,43,8,256,4] [3,17,97,241,257,673] ------------------------------- Table 6: a_i's, m_i's, b_i's, p_i's ------------------------------- [2, 5, 0, 11, 14, 7, 15, 2, 12, 19, 9, 59, 18, 33, 31, 3, 75, 69, 17, 1] [3, 8, 5, 20, 35, 48, 28, 7, 15, 24, 16, 70, 21, 64, 48, 60, 84, 105, 32, 64] [4, 12, 30, 15, 66, 84, 100, 64, 92, 153, 223, 9, 52, 31, 236, 34, 11729, 575, 2056, 5012354] [7, 17, 31, 41, 71, 97, 113, 127, 151, 241, 257, 281, 337, 641, 673, 1321, 14449, 29191, 65537, 6700417] ------------------------------- Table 8: a_i's, m_i's, p_i's ------------------------------- [0, 0, 1, 4, 49, 103, 13, 40, 67, 0, 1, 16, 52, 25, 26, 5, 47, 103, 19, 55, 97, 181, 223, 34, 0, 11, 2, 38, 29, 0, 1, 2, 47, 5, 59, 50, 18, 29, 7, 107, 173, 239, 9, 383, 65, 43, 263, 17, 89, 3, 107, 251, 35, 89, 629, 413, 53, 125, 107, 23, 143, 39, 79, 119, 479] [2, 3, 9, 27, 108, 108, 81, 81, 81, 7, 21, 63, 63, 126, 35, 35, 70, 105, 105, 105, 210, 210, 315, 315, 5, 15, 45, 45, 90, 11, 11, 33, 66, 99, 99, 99, 55, 55, 55, 165, 330, 495, 44, 396, 132, 88, 264, 144, 144, 16, 288, 288, 162, 162, 1296, 432, 216, 216, 180, 240, 240, 160, 160, 480, 480] [3, 7, 73, 262657, 246241, 279073, 2593, 71119, 97685839, 127, 337, 92737, 649657, 77158673929, 71, 122921, 281, 29191, 106681, 152041, 664441, 1564921, 870031, 983431, 31, 151, 631, 23311, 18837001, 23, 89, 599479, 20857, 199, 153649, 33057806959, 881, 3191, 201961, 2048568835297380486760231, 415365721, 991, 2113, 15975607282273, 4327489, 353, 7393, 577, 487824887233, 257, 1153, 278452876033, 135433, 272010961, 10369, 209924353, 33975937, 138991501037953, 54001, 394783681, 46908728641, 414721, 44479210368001, 23041, 14768784307009061644318236958041601] ------------------------------- Table 9: a_i's, m_i's, p_i's ------------------------------- [0, 0, 0, 1, 11, 7, 27, 3, 3, 2, 57, 21, 27, 117, 25, 53, 109, 11, 123, 13, 8, 53, 73, 93, 293, 153, 173, 373, 193, 59, 233, 169, 149, 65, 177, 29, 253, 113, 289, 1429, 69, 209, 769, 349, 41, 89, 229, 369, 509] [2, 3, 5, 20, 40, 8, 80, 16, 7, 35, 70, 28, 35, 140, 56, 112, 112, 32, 160, 25, 25, 200, 200, 400, 400, 200, 400, 400, 200, 160, 336, 240, 280, 224, 224, 210, 336, 224, 480, 1680, 560, 224, 1120, 560, 336, 840, 560, 1120, 560] [3, 7, 31, 41, 61681, 17, 4278255361, 257, 127, 122921, 281, 113, 71, 7416361, 15790321, 5153, 54410972897, 65537, 414721, 601, 1801, 340801, 401, 1601, 82471201, 3173389601, 25601, 432363203127002885506543172618401, 2787601, 44479210368001, 2017, 46908728641, 84179842077657862011867889681, 358429848460993, 2689, 1564921, 25629623713, 183076097, 23041, 4841172001, 3421249381705368039830334190046211225116161, 449, 86800001, 557761, 1538595959564161, 755667361, 4481, 16824641, 736961]