# CCZ-invariants for all known APN functions in dimension 8

We consider the 8180 APN functions in dimension 8 constructed by the matrix method [1] We enumerate the functions in the order in which they appear in [1].

The Walsh spectra of quadratic APN functions over GF(2^8) can take three distinct values.

All of these 8180 functions have one of the 21 values 11818, 12370, 13200, 13800, 13804, 13842, 13848, 14024, 14028, 14030, 14032, 14034, 14036, 14038, 14040, 14042, 14044, 14046, 14048, 14050, 15358 as their ${\displaystyle \Gamma }$-rank. The following table lists the indices of the functions having each of the given ${\displaystyle \Gamma }$-rank.

Γ-rank Indices
11818 1
12370 2
13200 4
13800 5
13804 6
13842 7
13848 8
14024 9
14028 20
14030 13, 5828
14032 15, 16, 18, 1449
14034 22, 23
14036 17, 19, 21
14038 8052
14040 10, 3197
14042 49, 228, 610, 700, 973, 1373, 1560, 1606, 1794, 2109, 2709, 2871, 2949, 3122, 3262, 3593, 4310, 4533, 5056, 5216, 5871, 5876, 5878, 5947, 6073, 6081, 6266, 6450, 6546, 6713, 6849, 6933, 7028, 7837, 8058
14044 11, 29, 48, 62, 72, 150, 158, 180, 185, 195, 202, 221, 285, 314, 316, 325, 327, 330, 336, 352, 362, 373, 380, 384, 387, 396, 400, 406, 422, 452, 453, 458, 465, 468, 491, 498, 502, 504, 505, 548, 559, 570, 597, 609, 613, 634, 643, 654, 682, 702, 713, 720, 736, 777, 780, 796, 831, 837, 854, 872, 882, 889, 911, 913, 916, 921, 932, 936, 938, 943, 969, 981, 984, 999, 1000, 1066, 1072, 1091, 1095, 1119, 1138, 1143, 1149, 1150, 1157, 1166, 1183, 1201, 1231, 1252, 1257, 1258, 1264, 1285, 1335, 1339, 1357, 1361, 1375, 1379, 1381, 1384, 1394, 1400, 1401, 1410, 1423, 1443, 1447, 1458, 1506, 1509, 1510, 1554, 1557, 1574, 1584, 1597, 1605, 1615, 1638, 1667, 1669, 1675, 1703, 1712, 1718, 1737, 1743, 1778, 1786, 1787, 1811, 1818, 1873, 1875, 1898, 1972, 1978, 2005, 2017, 2031, 2032, 2064, 2097, 2099, 2101, 2104, 2111, 2117, 2119, 2130, 2136, 2148, 2201, 2209, 2216, 2235, 2251, 2290, 2294, 2296, 2306, 2308, 2325, 2351, 2356, 2357, 2365, 2375, 2389, 2403, 2408, 2426, 2427, 2434, 2441, 2453, 2458, 2459, 2482, 2529, 2530, 2541, 2553, 2554, 2576, 2577, 2595, 2600, 2635, 2642, 2655, 2693, 2742, 2747, 2755, 2757, 2773, 2777, 2791, 2797, 2807, 2808, 2811, 2846, 2850, 2856, 2861, 2870, 2883, 2887, 2891, 2902, 2912, 2918, 2969, 2993, 3039, 3040, 3045, 3057, 3072, 3075, 3081, 3109, 3121, 3160, 3169, 3183, 3212, 3230, 3237, 3246, 3255, 3269, 3294, 3314, 3317, 3319, 3327, 3350, 3354, 3381, 3415, 3426, 3447, 3475, 3486, 3489, 3497, 3503, 3519, 3540, 3557, 3558, 3603, 3613, 3634, 3654, 3675, 3734, 3737, 3767, 3775, 3781, 3793, 3795, 3814, 3815, 3828, 3851, 3861, 3882, 3897, 3907, 3915, 3935, 3942, 3944, 3956, 3978, 4007, 4048, 4050, 4060, 4071, 4072, 4074, 4082, 4090, 4128, 4144, 4149, 4179, 4198, 4199, 4206, 4207, 4217, 4219, 4223, 4232, 4233, 4236, 4237, 4238, 4242, 4256, 4261, 4266, 4283, 4286, 4325, 4356, 4362, 4366, 4367, 4377, 4391, 4400, 4406, 4425, 4429, 4454, 4463, 4473, 4479, 4523, 4599, 4609, 4611, 4620, 4638, 4657, 4680, 4714, 4738, 4742, 4751, 4753, 4765, 4785, 4788, 4789, 4811, 4823, 4825, 4834, 4844, 4856, 4880, 4883, 4904, 4906, 4910, 4911, 4915, 4916, 4922, 4925, 4926, 4941, 4955, 4967, 4978, 4988, 5008, 5010, 5017, 5028, 5029, 5047, 5071, 5089, 5101, 5107, 5108, 5119, 5121, 5148, 5150, 5153, 5159, 5192, 5198, 5218, 5225, 5234, 5247, 5250, 5251, 5271, 5279, 5310, 5326, 5329, 5351, 5369, 5381, 5386, 5388, 5398, 5403, 5422, 5423, 5425, 5427, 5444, 5448, 5451, 5463, 5465, 5479, 5488, 5493, 5496, 5514, 5565, 5580, 5584, 5609, 5615, 5648, 5654, 5665, 5686, 5687, 5710, 5714, 5719, 5730, 5733, 5754, 5755, 5757, 5761, 5781, 5797, 5802, 5893, 5908, 5912, 5928, 6004, 6022, 6026, 6080, 6101, 6120, 6146, 6148, 6152, 6154, 6165, 6166, 6168, 6178, 6189, 6196, 6229, 6232, 6235, 6244, 6252, 6258, 6259, 6280, 6295, 6307, 6314, 6336, 6340, 6362, 6385, 6387, 6400, 6413, 6422, 6428, 6441, 6442, 6451, 6485, 6499, 6540, 6549, 6551, 6556, 6577, 6581, 6600, 6607, 6637, 6675, 6704, 6715, 6748, 6779, 6784, 6797, 6810, 6828, 6837, 6850, 6854, 6855, 6858, 6897, 6899, 6904, 6910, 6928, 6948, 6965, 6977, 6978, 6979, 6996, 7002, 7032, 7040, 7042, 7049, 7059, 7068, 7079, 7118, 7145, 7154, 7164, 7176, 7195, 7196, 7207, 7227, 7230, 7232, 7234, 7250, 7253, 7258, 7263, 7288, 7289, 7298, 7314, 7316, 7322, 7325, 7329, 7338, 7342, 7364, 7365, 7372, 7420, 7427, 7470, 7501, 7545, 7554, 7555, 7562, 7605, 7606, 7626, 7632, 7642, 7649, 7660, 7663, 7684, 7689, 7690, 7700, 7701, 7708, 7721, 7722, 7723, 7726, 7736, 7741, 7778, 7785, 7789, 7819, 7850, 7877, 7885, 7901, 7924, 7926, 7936, 7941, 7945, 7953, 7985, 7988, 7999, 8029, 8046, 8064, 8069, 8083, 8119, 8131, 8132, 8147, 8151, 8153, 8154, 8162
14046 12, 14, 26, 27, 28, 30, 31, 35, 37, 41, 42, 44, 45, 46, 47, 50, 52, 59, 64, 67, 71, 74, 76, 78, 81, 84, 91, 94, 96, 97, 100, 103, 104, 105, 109, 111, 112, 115, 116, 119, 120, 121, 122, 125, 135, 137, 140, 146, 148, 149, 151, 152, 153, 154, 159, 161, 162, 163, 166, 167, 169, 172, 176, 181, 182, 186, 189, 190, 191, 193, 198, 199, 200, 207, 210, 211, 212, 214, 215, 217, 218, 220, 225, 226, 227, 229, 235, 237, 239, 241, 243, 246, 248, 251, 253, 256, 259, 263, 265, 266, 267, 268, 276, 277, 278, 279, 280, 282, 287, 288, 289, 293, 294, 298, 304, 305, 307, 308, 309, 311, 313, 315, 317, 320, 322, 324, 328, 329, 332, 335, 341, 350, 354, 356, 358, 360, 361, 366, 370, 371, 374, 375, 379, 386, 393, 397, 402, 404, 405, 407, 408, 411, 414, 417, 418, 419, 420, 425, 429, 432, 439, 442, 443, 445, 446, 448, 449, 450, 457, 459, 461, 462, 466, 469, 471, 473, 475, 478, 480, 483, 492, 497, 508, 512, 513, 514, 515, 516, 524, 525, 527, 528, 530, 531, 533, 536, 551, 554, 555, 557, 561, 563, 565, 566, 567, 569, 572, 574, 575, 578, 579, 582, 584, 585, 587, 593, 608, 614, 618, 622, 623, 626, 628, 631, 641, 644, 647, 648, 649, 652, 653, 659, 661, 666, 667, 672, 681, 684, 685, 687, 689, 691, 692, 693, 703, 705, 706, 714, 716, 718, 721, 725, 729, 731, 739, 740, 742, 746, 750, 754, 755, 756, 757, 758, 760, 764, 769, 772, 774, 775, 779, 781, 783, 786, 788, 790, 791, 792, 793, 795, 800, 805, 809, 810, 818, 819, 822, 823, 833, 836, 839, 842, 844, 845, 850, 851, 853, 855, 856, 857, 858, 859, 860, 861, 865, 866, 867, 871, 877, 883, 886, 887, 891, 894, 899, 900, 903, 906, 909, 912, 914, 919, 920, 924, 928, 929, 933, 942, 946, 952, 953, 956, 957, 958, 959, 961, 963, 965, 966, 967, 968, 970, 974, 975, 976, 977, 983, 985, 986, 987, 991, 992, 998, 1004, 1008, 1009, 1010, 1016, 1017, 1019, 1021, 1022, 1023, 1025, 1026, 1027, 1028, 1034, 1035, 1036, 1040, 1045, 1048, 1051, 1054, 1059, 1060, 1061, 1068, 1070, 1073, 1074, 1076, 1077, 1078, 1079, 1080, 1081, 1084, 1089, 1090, 1093, 1099, 1102, 1107, 1109, 1113, 1114, 1122, 1123, 1125, 1127, 1128, 1130, 1131, 1133, 1135, 1142, 1147, 1153, 1154, 1160, 1164, 1167, 1171, 1176, 1178, 1180, 1190, 1193, 1194, 1195, 1199, 1200, 1203, 1205, 1206, 1209, 1210, 1211, 1212, 1215, 1216, 1217, 1219, 1220, 1221, 1222, 1223, 1225, 1227, 1228, 1229, 1233, 1235, 1242, 1246, 1247, 1249, 1251, 1253, 1255, 1259, 1261, 1265, 1267, 1271, 1272, 1273, 1274, 1276, 1281, 1282, 1287, 1291, 1292, 1293, 1295, 1299, 1302, 1305, 1307, 1309, 1311, 1313, 1314, 1316, 1321, 1322, 1323, 1325, 1326, 1327, 1332, 1337, 1340, 1341, 1343, 1347, 1348, 1350, 1352, 1354, 1355, 1356, 1358, 1360, 1362, 1368, 1369, 1372, 1374, 1378, 1385, 1392, 1397, 1398, 1403, 1407, 1415, 1418, 1419, 1420, 1422, 1427, 1429, 1432, 1435, 1436, 1440, 1450, 1451, 1452, 1453, 1455, 1459, 1461, 1463, 1464, 1468, 1471, 1475, 1477, 1480, 1481, 1484, 1485, 1486, 1487, 1488, 1491, 1494, 1497, 1502, 1503, 1504, 1507, 1508, 1511, 1514, 1515, 1516, 1517, 1524, 1527, 1529, 1532, 1538, 1539, 1540, 1545, 1549, 1550, 1551, 1558, 1562, 1566, 1568, 1569, 1570, 1572, 1576, 1580, 1583, 1585, 1586, 1591, 1593, 1601, 1602, 1604, 1607, 1609, 1612, 1616, 1619, 1620, 1621, 1622, 1628, 1632, 1633, 1635, 1637, 1642, 1644, 1646, 1650, 1654, 1656, 1660, 1661, 1663, 1671, 1677, 1684, 1688, 1695, 1696, 1698, 1699, 1702, 1709, 1715, 1719, 1722, 1726, 1730, 1731, 1734, 1735, 1738, 1742, 1744, 1745, 1746, 1759, 1763, 1767, 1774, 1775, 1782, 1784, 1789, 1790, 1792, 1797, 1803, 1804, 1806, 1809, 1816, 1819, 1823, 1828, 1830, 1831, 1836, 1838, 1840, 1841, 1844, 1845, 1847, 1849, 1852, 1855, 1857, 1862, 1864, 1866, 1867, 1868, 1874, 1877, 1878, 1881, 1883, 1884, 1888, 1892, 1893, 1897, 1904, 1905, 1907, 1908, 1911, 1914, 1917, 1925, 1928, 1932, 1933, 1935, 1936, 1939, 1941, 1947, 1948, 1954, 1958, 1959, 1960, 1962, 1964, 1965, 1966, 1969, 1971, 1973, 1976, 1980, 1985, 1991, 1992, 1997, 1999, 2000, 2001, 2002, 2003, 2006, 2007, 2010, 2014, 2015, 2016, 2019, 2020, 2021, 2024, 2025, 2026, 2029, 2030, 2033, 2038, 2040, 2046, 2054, 2057, 2060, 2065, 2066, 2069, 2070, 2071, 2072, 2074, 2075, 2076, 2081, 2082, 2084, 2087, 2090, 2093, 2098, 2100, 2107, 2110, 2112, 2124, 2129, 2132, 2134, 2138, 2142, 2143, 2150, 2151, 2152, 2154, 2156, 2163, 2164, 2165, 2166, 2167, 2169, 2170, 2174, 2175, 2182, 2184, 2191, 2192, 2193, 2194, 2197, 2198, 2203, 2205, 2207, 2218, 2221, 2222, 2236, 2239, 2241, 2242, 2244, 2249, 2250, 2252, 2256, 2260, 2261, 2264, 2272, 2273, 2274, 2275, 2277, 2279, 2281, 2282, 2283, 2286, 2293, 2297, 2298, 2307, 2311, 2312, 2313, 2316, 2321, 2322, 2323, 2327, 2328, 2331, 2333, 2334, 2337, 2341, 2343, 2344, 2349, 2350, 2353, 2354, 2359, 2361, 2367, 2368, 2371, 2374, 2376, 2379, 2381, 2382, 2384, 2386, 2392, 2397, 2405, 2409, 2410, 2412, 2417, 2422, 2424, 2429, 2430, 2437, 2445, 2446, 2447, 2448, 2449, 2451, 2454, 2457, 2460, 2461, 2462, 2463, 2465, 2466, 2469, 2472, 2476, 2477, 2478, 2480, 2481, 2487, 2492, 2495, 2498, 2503, 2504, 2505, 2508, 2510, 2512, 2516, 2519, 2520, 2521, 2523, 2524, 2531, 2534, 2535, 2542, 2546, 2548, 2549, 2550, 2561, 2562, 2565, 2569, 2571, 2572, 2574, 2578, 2579, 2582, 2583, 2584, 2586, 2591, 2594, 2599, 2602, 2606, 2608, 2612, 2613, 2616, 2620, 2621, 2623, 2624, 2626, 2630, 2632, 2633, 2634, 2638, 2639, 2644, 2649, 2651, 2654, 2657, 2662, 2663, 2665, 2666, 2671, 2676, 2678, 2682, 2685, 2688, 2695, 2697, 2699, 2700, 2702, 2704, 2705, 2708, 2710, 2711, 2713, 2714, 2715, 2716, 2717, 2718, 2720, 2721, 2722, 2725, 2733, 2735, 2737, 2739, 2749, 2750, 2751, 2752, 2756, 2759, 2760, 2761, 2763, 2766, 2768, 2771, 2774, 2776, 2784, 2785, 2789, 2792, 2798, 2800, 2805, 2809, 2813, 2815, 2822, 2823, 2825, 2829, 2838, 2839, 2841, 2842, 2844, 2848, 2858, 2860, 2864, 2865, 2866, 2868, 2872, 2873, 2874, 2876, 2877, 2878, 2879, 2880, 2882, 2884, 2885, 2886, 2889, 2893, 2895, 2896, 2898, 2901, 2904, 2913, 2916, 2917, 2920, 2921, 2925, 2926, 2936, 2938, 2939, 2940, 2944, 2947, 2950, 2956, 2957, 2964, 2965, 2968, 2971, 2974, 2975, 2976, 2979, 2980, 2981, 2982, 2984, 2985, 2987, 2989, 2990, 2997, 3003, 3005, 3006, 3007, 3008, 3010, 3013, 3014, 3015, 3016, 3017, 3019, 3023, 3025, 3027, 3032, 3036, 3041, 3042, 3043, 3046, 3047, 3054, 3056, 3060, 3061, 3064, 3065, 3068, 3069, 3070, 3073, 3076, 3080, 3082, 3083, 3084, 3085, 3087, 3089, 3093, 3095, 3098, 3099, 3101, 3104, 3105, 3106, 3108, 3113, 3114, 3118, 3126, 3128, 3129, 3132, 3139, 3140, 3141, 3146, 3150, 3151, 3154, 3155, 3156, 3158, 3163, 3164, 3170, 3173, 3176, 3177, 3179, 3180, 3185, 3190, 3194, 3195, 3199, 3200, 3201, 3202, 3203, 3204, 3208, 3217, 3218, 3219, 3222, 3242, 3243, 3244, 3245, 3248, 3249, 3250, 3253, 3257, 3259, 3263, 3264, 3265, 3267, 3270, 3271, 3272, 3273, 3275, 3276, 3282, 3287, 3289, 3290, 3296, 3297, 3300, 3305, 3306, 3312, 3313, 3316, 3321, 3322, 3324, 3326, 3330, 3331, 3332, 3333, 3334, 3337, 3340, 3341, 3345, 3352, 3353, 3360, 3364, 3366, 3369, 3371, 3376, 3391, 3395, 3398, 3402, 3403, 3408, 3409, 3410, 3412, 3414, 3416, 3417, 3418, 3423, 3425, 3429, 3431, 3435, 3436, 3439, 3440, 3442, 3451, 3452, 3453, 3458, 3459, 3460, 3462, 3464, 3468, 3469, 3471, 3472, 3474, 3479, 3480, 3481, 3484, 3487, 3488, 3490, 3491, 3494, 3495, 3502, 3506, 3509, 3511, 3512, 3514, 3516, 3518, 3522, 3524, 3527, 3528, 3530, 3537, 3539, 3541, 3542, 3543, 3544, 3545, 3547, 3548, 3549, 3550, 3554, 3559, 3560, 3563, 3564, 3565, 3567, 3569, 3577, 3579, 3582, 3583, 3584, 3587, 3589, 3590, 3594, 3600, 3601, 3602, 3605, 3612, 3615, 3619, 3620, 3622, 3624, 3626, 3629, 3630, 3632, 3635, 3639, 3641, 3642, 3644, 3646, 3648, 3649, 3656, 3660, 3665, 3670, 3671, 3674, 3678, 3681, 3683, 3684, 3685, 3686, 3691, 3692, 3694, 3696, 3697, 3700, 3702, 3706, 3707, 3708, 3709, 3714, 3716, 3717, 3719, 3723, 3724, 3725, 3726, 3729, 3731, 3732, 3742, 3744, 3745, 3746, 3751, 3752, 3754, 3759, 3769, 3772, 3774, 3779, 3782, 3787, 3788, 3798, 3801, 3803, 3805, 3806, 3807, 3809, 3811, 3812, 3818, 3821, 3822, 3825, 3827, 3831, 3832, 3834, 3836, 3837, 3838, 3843, 3849, 3853, 3856, 3860, 3862, 3865, 3866, 3868, 3869, 3870, 3872, 3873, 3875, 3877, 3880, 3883, 3894, 3895, 3896, 3898, 3900, 3903, 3905, 3914, 3916, 3919, 3921, 3924, 3926, 3928, 3930, 3931, 3936, 3937, 3946, 3948, 3950, 3951, 3954, 3955, 3958, 3960, 3963, 3969, 3972, 3973, 3974, 3975, 3977, 3981, 3983, 3986, 3987, 3990, 3991, 3998, 4002, 4004, 4008, 4010, 4014, 4015, 4016, 4021, 4024, 4025, 4026, 4027, 4028, 4029, 4031, 4033, 4035, 4038, 4039, 4041, 4042, 4043, 4044, 4047, 4049, 4053, 4054, 4056, 4061, 4063, 4065, 4066, 4068, 4078, 4083, 4084, 4087, 4091, 4093, 4095, 4096, 4099, 4100, 4101, 4103, 4106, 4110, 4112, 4114, 4115, 4116, 4117, 4119, 4123, 4131, 4134, 4135, 4136, 4142, 4146, 4148, 4150, 4154, 4155, 4157, 4160, 4167, 4168, 4169, 4171, 4176, 4177, 4180, 4182, 4184, 4187, 4189, 4190, 4191, 4202, 4204, 4205, 4211, 4214, 4215, 4216, 4222, 4225, 4228, 4240, 4246, 4247, 4248, 4252, 4255, 4258, 4262, 4264, 4268, 4269, 4276, 4282, 4284, 4287, 4288, 4289, 4291, 4292, 4293, 4294, 4296, 4297, 4300, 4302, 4303, 4306, 4307, 4308, 4309, 4313, 4316, 4319, 4321, 4331, 4332, 4334, 4338, 4339, 4341, 4342, 4347, 4348, 4358, 4370, 4373, 4374, 4375, 4380, 4381, 4383, 4384, 4385, 4386, 4394, 4395, 4396, 4402, 4404, 4405, 4407, 4408, 4409, 4413, 4415, 4417, 4418, 4426, 4431, 4432, 4433, 4434, 4439, 4443, 4450, 4455, 4459, 4461, 4462, 4464, 4474, 4475, 4477, 4480, 4482, 4483, 4484, 4485, 4491, 4493, 4494, 4495, 4497, 4498, 4502, 4505, 4507, 4508, 4509, 4510, 4512, 4513, 4515, 4517, 4519, 4520, 4524, 4525, 4527, 4528, 4531, 4532, 4534, 4537, 4539, 4540, 4553, 4554, 4556, 4557, 4558, 4561, 4576, 4580, 4582, 4583, 4586, 4591, 4596, 4602, 4605, 4606, 4607, 4608, 4610, 4612, 4614, 4615, 4617, 4623, 4624, 4626, 4627, 4637, 4642, 4644, 4645, 4651, 4652, 4653, 4654, 4656, 4659, 4662, 4663, 4664, 4671, 4672, 4676, 4678, 4683, 4684, 4686, 4688, 4694, 4699, 4701, 4703, 4706, 4711, 4712, 4713, 4715, 4716, 4717, 4718, 4721, 4722, 4726, 4727, 4728, 4731, 4734, 4737, 4739, 4743, 4744, 4745, 4747, 4749, 4750, 4752, 4754, 4757, 4762, 4768, 4770, 4772, 4773, 4775, 4778, 4781, 4782, 4787, 4791, 4792, 4793, 4794, 4798, 4806, 4807, 4810, 4814, 4818, 4826, 4832, 4833, 4835, 4837, 4839, 4847, 4850, 4853, 4854, 4863, 4868, 4870, 4872, 4874, 4877, 4882, 4884, 4887, 4893, 4894, 4898, 4913, 4914, 4919, 4920, 4921, 4924, 4927, 4929, 4933, 4935, 4936, 4938, 4944, 4946, 4950, 4952, 4954, 4961, 4963, 4964, 4968, 4969, 4972, 4973, 4981, 4985, 4987, 4989, 4990, 4991, 4992, 4994, 4995, 4996, 4998, 5000, 5002, 5004, 5016, 5019, 5020, 5023, 5024, 5030, 5033, 5035, 5036, 5037, 5040, 5041, 5048, 5053, 5057, 5061, 5064, 5066, 5067, 5072, 5075, 5080, 5082, 5083, 5085, 5091, 5094, 5097, 5102, 5104, 5106, 5110, 5118, 5124, 5125, 5129, 5131, 5132, 5134, 5139, 5140, 5141, 5152, 5154, 5155, 5156, 5157, 5158, 5160, 5161, 5162, 5166, 5171, 5176, 5183, 5184, 5187, 5188, 5194, 5195, 5196, 5200, 5202, 5205, 5210, 5211, 5212, 5213, 5217, 5219, 5220, 5221, 5222, 5231, 5232, 5236, 5237, 5241, 5243, 5244, 5246, 5249, 5252, 5256, 5262, 5265, 5269, 5273, 5276, 5280, 5281, 5288, 5289, 5293, 5296, 5298, 5301, 5303, 5305, 5308, 5309, 5311, 5312, 5321, 5325, 5330, 5332, 5335, 5336, 5337, 5338, 5340, 5341, 5349, 5352, 5353, 5354, 5357, 5358, 5360, 5362, 5364, 5365, 5366, 5378, 5379, 5391, 5394, 5396, 5401, 5406, 5407, 5410, 5413, 5417, 5420, 5421, 5424, 5429, 5431, 5433, 5435, 5436, 5439, 5442, 5443, 5445, 5446, 5447, 5449, 5450, 5452, 5455, 5457, 5458, 5461, 5464, 5467, 5470, 5473, 5475, 5476, 5477, 5481, 5492, 5495, 5497, 5503, 5504, 5507, 5509, 5511, 5512, 5513, 5520, 5522, 5523, 5528, 5532, 5534, 5536, 5542, 5546, 5547, 5549, 5550, 5551, 5557, 5558, 5568, 5569, 5571, 5575, 5576, 5578, 5583, 5588, 5592, 5595, 5602, 5605, 5608, 5610, 5611, 5614, 5617, 5620, 5622, 5625, 5627, 5633, 5634, 5635, 5643, 5649, 5650, 5656, 5657, 5658, 5659, 5664, 5670, 5672, 5675, 5681, 5682, 5688, 5691, 5692, 5708, 5709, 5713, 5715, 5717, 5720, 5724, 5727, 5735, 5737, 5741, 5743, 5744, 5747, 5752, 5759, 5760, 5768, 5769, 5770, 5772, 5774, 5782, 5785, 5786, 5787, 5789, 5790, 5793, 5796, 5799, 5800, 5804, 5809, 5811, 5813, 5815, 5817, 5823, 5825, 5827, 5830, 5831, 5832, 5836, 5837, 5839, 5840, 5846, 5848, 5852, 5855, 5858, 5860, 5861, 5862, 5864, 5866, 5869, 5870, 5872, 5873, 5877, 5880, 5883, 5885, 5896, 5905, 5909, 5911, 5914, 5917, 5918, 5927, 5929, 5931, 5936, 5938, 5941, 5945, 5948, 5949, 5950, 5951, 5952, 5956, 5958, 5960, 5961, 5962, 5964, 5966, 5968, 5969, 5972, 5974, 5979, 5983, 5984, 5985, 5986, 5987, 5988, 5991, 5992, 5995, 5996, 5997, 5998, 5999, 6001, 6010, 6011, 6012, 6019, 6021, 6023, 6024, 6027, 6029, 6030, 6033, 6034, 6044, 6045, 6046, 6047, 6048, 6049, 6050, 6053, 6054, 6056, 6057, 6059, 6061, 6066, 6067, 6074, 6075, 6082, 6083, 6088, 6096, 6099, 6105, 6108, 6110, 6112, 6113, 6114, 6116, 6117, 6128, 6133, 6136, 6138, 6140, 6144, 6147, 6149, 6151, 6159, 6161, 6163, 6164, 6171, 6173, 6174, 6179, 6181, 6185, 6186, 6187, 6188, 6190, 6191, 6192, 6194, 6195, 6197, 6199, 6200, 6204, 6205, 6206, 6215, 6216, 6217, 6219, 6220, 6221, 6222, 6224, 6225, 6226, 6227, 6230, 6231, 6234, 6237, 6238, 6242, 6243, 6246, 6255, 6262, 6263, 6267, 6269, 6270, 6281, 6282, 6283, 6286, 6288, 6291, 6298, 6299, 6309, 6315, 6317, 6319, 6325, 6326, 6327, 6328, 6329, 6337, 6338, 6339, 6342, 6348, 6351, 6353, 6356, 6361, 6364, 6366, 6374, 6378, 6380, 6382, 6389, 6397, 6399, 6401, 6405, 6407, 6409, 6417, 6418, 6421, 6424, 6426, 6429, 6432, 6433, 6435, 6436, 6439, 6446, 6449, 6453, 6454, 6458, 6462, 6476, 6478, 6479, 6482, 6486, 6487, 6489, 6490, 6493, 6495, 6496, 6498, 6503, 6507, 6509, 6511, 6513, 6515, 6521, 6522, 6523, 6524, 6525, 6527, 6531, 6532, 6533, 6534, 6536, 6537, 6538, 6539, 6547, 6548, 6555, 6557, 6558, 6559, 6564, 6567, 6572, 6575, 6585, 6590, 6594, 6595, 6598, 6601, 6602, 6611, 6616, 6620, 6622, 6623, 6628, 6634, 6635, 6636, 6643, 6646, 6650, 6653, 6656, 6658, 6659, 6663, 6666, 6668, 6676, 6679, 6681, 6685, 6686, 6690, 6696, 6700, 6701, 6707, 6708, 6709, 6711, 6712, 6714, 6716, 6717, 6720, 6721, 6722, 6725, 6730, 6743, 6745, 6751, 6753, 6758, 6759, 6764, 6765, 6770, 6771, 6773, 6775, 6780, 6781, 6790, 6791, 6795, 6798, 6799, 6800, 6801, 6803, 6804, 6806, 6807, 6809, 6812, 6815, 6818, 6819, 6825, 6826, 6831, 6832, 6834, 6836, 6839, 6840, 6842, 6844, 6846, 6848, 6856, 6864, 6865, 6867, 6870, 6872, 6876, 6882, 6883, 6884, 6886, 6890, 6896, 6902, 6903, 6911, 6918, 6923, 6924, 6926, 6930, 6931, 6936, 6937, 6940, 6944, 6945, 6950, 6955, 6957, 6958, 6959, 6960, 6967, 6971, 6973, 6981, 6982, 6991, 6992, 6995, 6997, 6998, 7000, 7006, 7008, 7009, 7011, 7014, 7015, 7017, 7019, 7021, 7023, 7024, 7033, 7035, 7038, 7039, 7043, 7045, 7048, 7054, 7060, 7061, 7064, 7065, 7066, 7071, 7072, 7073, 7075, 7080, 7084, 7086, 7087, 7097, 7101, 7106, 7114, 7117, 7119, 7120, 7125, 7126, 7128, 7131, 7132, 7139, 7141, 7148, 7150, 7153, 7155, 7167, 7169, 7172, 7174, 7177, 7179, 7180, 7183, 7184, 7185, 7189, 7192, 7205, 7206, 7210, 7212, 7213, 7219, 7220, 7221, 7222, 7223, 7224, 7226, 7235, 7237, 7239, 7240, 7242, 7243, 7247, 7248, 7249, 7257, 7260, 7264, 7265, 7267, 7268, 7271, 7272, 7273, 7282, 7283, 7290, 7292, 7293, 7294, 7295, 7301, 7303, 7306, 7309, 7315, 7317, 7319, 7320, 7321, 7323, 7324, 7327, 7331, 7335, 7339, 7340, 7349, 7350, 7351, 7353, 7355, 7356, 7357, 7362, 7367, 7370, 7371, 7374, 7376, 7380, 7381, 7386, 7391, 7393, 7395, 7402, 7403, 7406, 7408, 7409, 7410, 7411, 7414, 7415, 7416, 7418, 7421, 7422, 7428, 7432, 7434, 7435, 7436, 7439, 7444, 7446, 7451, 7452, 7457, 7458, 7462, 7463, 7464, 7466, 7475, 7479, 7481, 7483, 7488, 7490, 7491, 7493, 7496, 7497, 7498, 7499, 7500, 7503, 7505, 7507, 7508, 7509, 7511, 7514, 7515, 7516, 7517, 7520, 7521, 7523, 7524, 7525, 7526, 7528, 7529, 7530, 7531, 7535, 7537, 7538, 7539, 7544, 7546, 7547, 7549, 7551, 7556, 7557, 7560, 7567, 7569, 7572, 7573, 7574, 7576, 7581, 7587, 7588, 7592, 7593, 7596, 7597, 7599, 7600, 7604, 7607, 7610, 7612, 7617, 7622, 7623, 7627, 7631, 7633, 7635, 7645, 7646, 7647, 7651, 7657, 7658, 7659, 7661, 7662, 7669, 7674, 7675, 7677, 7680, 7681, 7685, 7687, 7688, 7691, 7694, 7699, 7702, 7707, 7710, 7712, 7716, 7717, 7718, 7719, 7729, 7732, 7733, 7738, 7740, 7745, 7746, 7748, 7756, 7760, 7762, 7767, 7768, 7769, 7770, 7771, 7772, 7777, 7780, 7782, 7786, 7787, 7790, 7792, 7795, 7797, 7799, 7801, 7803, 7807, 7808, 7810, 7813, 7820, 7821, 7823, 7824, 7826, 7829, 7831, 7833, 7835, 7836, 7839, 7840, 7843, 7846, 7847, 7851, 7853, 7857, 7860, 7861, 7866, 7868, 7873, 7875, 7876, 7879, 7881, 7882, 7884, 7890, 7892, 7893, 7896, 7899, 7902, 7903, 7905, 7907, 7913, 7915, 7916, 7917, 7919, 7921, 7930, 7931, 7935, 7937, 7938, 7950, 7954, 7955, 7956, 7960, 7963, 7965, 7969, 7972, 7973, 7974, 7976, 7989, 7995, 7996, 7998, 8003, 8004, 8009, 8010, 8015, 8017, 8018, 8023, 8026, 8027, 8030, 8031, 8032, 8034, 8035, 8037, 8039, 8041, 8042, 8044, 8047, 8048, 8051, 8053, 8054, 8055, 8056, 8057, 8060, 8062, 8063, 8067, 8072, 8080, 8084, 8085, 8086, 8091, 8092, 8098, 8101, 8102, 8109, 8110, 8111, 8114, 8121, 8123, 8125, 8126, 8129, 8138, 8139, 8141, 8142, 8146, 8148, 8152, 8164, 8167, 8168, 8172, 8175
14048 24, 25, 32, 34, 36, 38, 39, 40, 51, 53, 54, 57, 58, 60, 63, 65, 68, 70, 73, 75, 80, 82, 83, 86, 87, 89, 92, 93, 95, 98, 102, 106, 113, 118, 126, 127, 128, 129, 130, 131, 132, 133, 134, 138, 141, 142, 144, 145, 147, 156, 160, 164, 165, 168, 170, 173, 174, 175, 178, 179, 184, 187, 188, 194, 196, 197, 201, 203, 205, 216, 219, 222, 223, 224, 230, 231, 232, 233, 234, 236, 238, 240, 244, 245, 247, 249, 250, 252, 255, 258, 260, 261, 264, 269, 271, 274, 281, 284, 286, 291, 292, 295, 296, 300, 301, 302, 303, 306, 312, 319, 321, 323, 326, 331, 333, 334, 337, 338, 339, 342, 344, 345, 346, 348, 351, 353, 357, 359, 363, 365, 368, 369, 372, 376, 381, 382, 383, 385, 388, 389, 391, 392, 394, 398, 399, 403, 409, 410, 412, 415, 416, 421, 424, 426, 427, 428, 430, 434, 435, 436, 440, 447, 451, 454, 455, 456, 463, 464, 467, 470, 472, 474, 476, 477, 479, 481, 482, 484, 486, 487, 488, 489, 490, 494, 495, 496, 499, 500, 501, 509, 510, 511, 517, 518, 520, 522, 523, 526, 532, 534, 535, 537, 539, 540, 541, 542, 543, 544, 546, 547, 549, 550, 552, 553, 556, 558, 560, 562, 564, 568, 571, 573, 576, 577, 580, 586, 588, 589, 590, 591, 592, 595, 596, 598, 599, 600, 601, 602, 604, 605, 611, 612, 615, 616, 617, 619, 621, 624, 625, 627, 629, 630, 632, 633, 635, 636, 637, 638, 639, 640, 642, 645, 646, 651, 655, 657, 658, 660, 662, 664, 668, 669, 670, 671, 673, 674, 675, 683, 686, 688, 690, 694, 696, 697, 699, 701, 704, 707, 708, 709, 710, 711, 712, 717, 719, 722, 726, 728, 732, 733, 734, 735, 737, 738, 741, 743, 744, 745, 748, 751, 752, 753, 759, 761, 762, 763, 765, 766, 767, 768, 770, 771, 773, 776, 778, 782, 785, 787, 794, 797, 798, 801, 802, 804, 806, 808, 812, 813, 815, 816, 817, 820, 821, 825, 826, 827, 828, 830, 832, 834, 835, 840, 847, 849, 852, 863, 864, 868, 869, 870, 873, 874, 875, 876, 878, 879, 884, 885, 888, 890, 892, 893, 895, 896, 897, 898, 904, 905, 907, 908, 910, 915, 918, 922, 923, 925, 926, 927, 931, 934, 935, 937, 939, 940, 941, 944, 945, 947, 951, 954, 960, 962, 964, 971, 972, 978, 979, 982, 988, 989, 990, 993, 994, 995, 996, 997, 1001, 1003, 1007, 1011, 1012, 1013, 1014, 1015, 1018, 1020, 1024, 1030, 1031, 1033, 1038, 1039, 1041, 1043, 1044, 1046, 1047, 1050, 1052, 1055, 1056, 1057, 1058, 1062, 1065, 1067, 1069, 1071, 1075, 1082, 1083, 1085, 1086, 1087, 1088, 1092, 1097, 1098, 1100, 1101, 1103, 1105, 1106, 1108, 1110, 1111, 1112, 1116, 1118, 1120, 1121, 1124, 1129, 1132, 1134, 1136, 1137, 1139, 1140, 1144, 1145, 1146, 1148, 1151, 1152, 1155, 1159, 1161, 1163, 1168, 1169, 1170, 1174, 1177, 1179, 1182, 1184, 1185, 1186, 1187, 1188, 1191, 1192, 1196, 1197, 1202, 1207, 1208, 1218, 1224, 1226, 1230, 1232, 1234, 1237, 1238, 1239, 1240, 1241, 1243, 1244, 1245, 1248, 1254, 1256, 1260, 1262, 1266, 1269, 1270, 1275, 1277, 1278, 1280, 1283, 1284, 1290, 1296, 1297, 1300, 1301, 1303, 1306, 1308, 1312, 1318, 1319, 1320, 1328, 1329, 1331, 1333, 1334, 1336, 1338, 1342, 1345, 1346, 1351, 1353, 1359, 1365, 1366, 1367, 1371, 1377, 1382, 1383, 1386, 1388, 1389, 1390, 1393, 1395, 1396, 1399, 1402, 1406, 1408, 1409, 1412, 1413, 1414, 1416, 1421, 1424, 1428, 1431, 1433, 1434, 1439, 1441, 1442, 1444, 1445, 1446, 1448, 1454, 1460, 1466, 1472, 1473, 1474, 1476, 1478, 1479, 1482, 1483, 1489, 1490, 1492, 1493, 1495, 1496, 1498, 1499, 1501, 1505, 1520, 1521, 1523, 1525, 1530, 1533, 1534, 1535, 1537, 1541, 1542, 1544, 1546, 1547, 1553, 1555, 1556, 1561, 1563, 1564, 1565, 1567, 1571, 1573, 1575, 1578, 1581, 1582, 1587, 1588, 1592, 1594, 1595, 1596, 1598, 1599, 1600, 1610, 1613, 1617, 1618, 1624, 1625, 1627, 1629, 1630, 1639, 1640, 1643, 1645, 1647, 1649, 1651, 1652, 1657, 1658, 1662, 1664, 1665, 1668, 1670, 1673, 1674, 1676, 1678, 1679, 1680, 1685, 1687, 1689, 1690, 1691, 1693, 1694, 1704, 1705, 1706, 1707, 1708, 1710, 1711, 1713, 1714, 1716, 1717, 1721, 1723, 1725, 1727, 1728, 1729, 1733, 1739, 1740, 1741, 1747, 1748, 1749, 1750, 1752, 1753, 1754, 1755, 1756, 1758, 1760, 1761, 1762, 1764, 1765, 1768, 1769, 1770, 1771, 1776, 1777, 1779, 1781, 1783, 1785, 1788, 1793, 1795, 1796, 1799, 1800, 1801, 1805, 1807, 1810, 1812, 1813, 1814, 1817, 1820, 1824, 1826, 1829, 1832, 1835, 1837, 1839, 1842, 1843, 1848, 1850, 1853, 1854, 1856, 1859, 1861, 1863, 1869, 1870, 1871, 1872, 1876, 1879, 1880, 1882, 1887, 1889, 1890, 1891, 1894, 1895, 1901, 1902, 1903, 1906, 1909, 1912, 1913, 1915, 1916, 1918, 1921, 1922, 1924, 1926, 1927, 1929, 1931, 1934, 1940, 1942, 1943, 1946, 1949, 1951, 1955, 1956, 1963, 1967, 1968, 1970, 1974, 1975, 1977, 1979, 1981, 1982, 1983, 1984, 1989, 1993, 1995, 1998, 2008, 2009, 2013, 2018, 2022, 2023, 2028, 2034, 2036, 2037, 2041, 2042, 2045, 2048, 2051, 2052, 2053, 2055, 2056, 2059, 2061, 2063, 2067, 2068, 2077, 2078, 2080, 2083, 2085, 2089, 2091, 2094, 2095, 2096, 2103, 2105, 2108, 2115, 2116, 2121, 2123, 2126, 2127, 2128, 2131, 2135, 2140, 2141, 2144, 2145, 2146, 2147, 2149, 2153, 2155, 2157, 2159, 2160, 2161, 2162, 2168, 2171, 2172, 2173, 2176, 2179, 2180, 2183, 2185, 2187, 2190, 2195, 2196, 2199, 2202, 2204, 2206, 2208, 2210, 2211, 2212, 2213, 2214, 2217, 2219, 2220, 2223, 2224, 2225, 2228, 2230, 2231, 2232, 2234, 2237, 2238, 2243, 2245, 2247, 2254, 2255, 2258, 2259, 2262, 2263, 2265, 2266, 2269, 2270, 2271, 2276, 2278, 2280, 2284, 2285, 2292, 2295, 2299, 2300, 2301, 2302, 2303, 2305, 2309, 2317, 2318, 2319, 2320, 2324, 2326, 2330, 2332, 2336, 2339, 2342, 2345, 2346, 2347, 2355, 2360, 2362, 2363, 2364, 2366, 2369, 2370, 2372, 2377, 2380, 2383, 2385, 2387, 2388, 2395, 2396, 2398, 2399, 2400, 2402, 2404, 2407, 2411, 2414, 2415, 2416, 2418, 2419, 2420, 2421, 2423, 2425, 2431, 2433, 2435, 2436, 2438, 2439, 2440, 2443, 2444, 2450, 2452, 2455, 2464, 2467, 2468, 2470, 2471, 2474, 2475, 2479, 2484, 2485, 2486, 2488, 2490, 2491, 2496, 2497, 2499, 2500, 2501, 2502, 2506, 2507, 2509, 2511, 2513, 2514, 2515, 2518, 2526, 2527, 2532, 2533, 2536, 2537, 2538, 2540, 2543, 2544, 2551, 2552, 2555, 2559, 2560, 2563, 2566, 2567, 2570, 2573, 2575, 2580, 2581, 2587, 2590, 2593, 2596, 2597, 2601, 2603, 2604, 2605, 2607, 2610, 2615, 2618, 2619, 2628, 2631, 2636, 2637, 2640, 2641, 2643, 2646, 2648, 2652, 2656, 2659, 2660, 2661, 2664, 2667, 2668, 2669, 2670, 2672, 2673, 2674, 2675, 2679, 2681, 2684, 2686, 2687, 2689, 2691, 2694, 2696, 2698, 2701, 2703, 2706, 2712, 2719, 2723, 2726, 2727, 2728, 2730, 2731, 2732, 2738, 2740, 2741, 2744, 2745, 2748, 2753, 2754, 2758, 2762, 2765, 2769, 2770, 2778, 2780, 2781, 2783, 2786, 2787, 2788, 2790, 2794, 2799, 2801, 2803, 2804, 2806, 2810, 2816, 2817, 2819, 2820, 2821, 2824, 2826, 2828, 2832, 2834, 2835, 2836, 2840, 2843, 2847, 2851, 2852, 2853, 2854, 2855, 2859, 2862, 2863, 2867, 2875, 2881, 2892, 2894, 2899, 2900, 2905, 2906, 2909, 2911, 2914, 2915, 2919, 2923, 2924, 2927, 2928, 2930, 2931, 2932, 2934, 2935, 2937, 2941, 2943, 2945, 2946, 2948, 2951, 2953, 2954, 2959, 2963, 2966, 2972, 2973, 2977, 2978, 2983, 2986, 2988, 2991, 2992, 2994, 2998, 2999, 3000, 3001, 3002, 3004, 3018, 3020, 3021, 3022, 3024, 3028, 3029, 3030, 3031, 3033, 3034, 3035, 3037, 3038, 3048, 3049, 3050, 3051, 3052, 3053, 3055, 3058, 3059, 3062, 3063, 3066, 3067, 3071, 3088, 3090, 3091, 3097, 3100, 3103, 3110, 3111, 3115, 3119, 3124, 3125, 3127, 3130, 3134, 3135, 3136, 3137, 3138, 3143, 3144, 3145, 3148, 3152, 3153, 3157, 3159, 3161, 3162, 3166, 3171, 3174, 3175, 3178, 3181, 3182, 3184, 3186, 3187, 3188, 3189, 3191, 3192, 3193, 3196, 3198, 3205, 3206, 3207, 3209, 3210, 3211, 3213, 3214, 3216, 3220, 3221, 3223, 3225, 3226, 3227, 3228, 3229, 3232, 3233, 3234, 3235, 3236, 3238, 3239, 3240, 3241, 3247, 3251, 3254, 3256, 3258, 3260, 3261, 3268, 3274, 3277, 3278, 3279, 3280, 3281, 3283, 3284, 3285, 3286, 3291, 3293, 3298, 3299, 3301, 3303, 3304, 3307, 3308, 3309, 3310, 3311, 3315, 3318, 3320, 3323, 3325, 3328, 3329, 3335, 3342, 3343, 3344, 3346, 3348, 3349, 3356, 3357, 3358, 3359, 3361, 3362, 3363, 3365, 3367, 3368, 3373, 3374, 3375, 3377, 3378, 3380, 3382, 3383, 3384, 3385, 3386, 3387, 3389, 3390, 3392, 3393, 3394, 3396, 3399, 3400, 3401, 3404, 3405, 3406, 3407, 3411, 3413, 3419, 3420, 3421, 3427, 3433, 3434, 3437, 3438, 3441, 3443, 3444, 3445, 3446, 3448, 3449, 3450, 3454, 3455, 3456, 3457, 3461, 3463, 3465, 3466, 3467, 3470, 3473, 3476, 3477, 3482, 3483, 3485, 3493, 3496, 3499, 3500, 3504, 3505, 3507, 3508, 3510, 3513, 3515, 3523, 3526, 3529, 3533, 3534, 3535, 3536, 3538, 3546, 3551, 3552, 3561, 3566, 3568, 3570, 3575, 3578, 3580, 3581, 3585, 3596, 3597, 3598, 3604, 3606, 3607, 3608, 3609, 3610, 3611, 3614, 3616, 3618, 3621, 3623, 3625, 3628, 3631, 3633, 3636, 3637, 3638, 3640, 3643, 3645, 3647, 3650, 3651, 3652, 3653, 3655, 3657, 3659, 3661, 3663, 3664, 3666, 3669, 3672, 3673, 3676, 3677, 3679, 3680, 3682, 3687, 3689, 3693, 3699, 3701, 3703, 3704, 3710, 3711, 3712, 3713, 3715, 3718, 3721, 3728, 3730, 3733, 3735, 3736, 3739, 3740, 3741, 3743, 3747, 3748, 3750, 3753, 3756, 3757, 3760, 3762, 3764, 3765, 3766, 3770, 3771, 3773, 3776, 3780, 3783, 3785, 3786, 3789, 3790, 3791, 3792, 3796, 3797, 3799, 3800, 3802, 3804, 3813, 3816, 3817, 3819, 3820, 3823, 3824, 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6563, 6565, 6566, 6568, 6569, 6570, 6571, 6573, 6576, 6578, 6579, 6580, 6582, 6583, 6587, 6588, 6589, 6591, 6593, 6596, 6597, 6599, 6603, 6604, 6606, 6609, 6610, 6612, 6613, 6614, 6617, 6618, 6619, 6621, 6624, 6625, 6626, 6630, 6631, 6638, 6640, 6641, 6642, 6644, 6645, 6647, 6648, 6649, 6652, 6655, 6662, 6664, 6665, 6667, 6669, 6670, 6671, 6672, 6673, 6680, 6682, 6687, 6688, 6689, 6692, 6693, 6694, 6695, 6697, 6698, 6703, 6705, 6710, 6718, 6719, 6723, 6724, 6726, 6727, 6728, 6729, 6731, 6732, 6734, 6735, 6736, 6737, 6739, 6741, 6742, 6746, 6749, 6750, 6754, 6756, 6760, 6763, 6766, 6767, 6768, 6772, 6774, 6776, 6777, 6778, 6782, 6785, 6786, 6787, 6789, 6792, 6794, 6796, 6802, 6808, 6813, 6814, 6816, 6817, 6820, 6821, 6822, 6827, 6829, 6830, 6833, 6838, 6841, 6843, 6845, 6847, 6851, 6852, 6853, 6857, 6860, 6861, 6862, 6863, 6866, 6868, 6869, 6871, 6873, 6874, 6875, 6878, 6880, 6887, 6889, 6891, 6892, 6893, 6894, 6895, 6900, 6901, 6905, 6907, 6909, 6913, 6914, 6915, 6916, 6917, 6919, 6921, 6922, 6929, 6932, 6934, 6935, 6938, 6941, 6942, 6946, 6952, 6954, 6956, 6962, 6963, 6964, 6966, 6970, 6972, 6974, 6976, 6980, 6983, 6984, 6985, 6988, 6990, 6993, 6994, 6999, 7001, 7003, 7004, 7005, 7007, 7012, 7013, 7016, 7022, 7025, 7026, 7029, 7031, 7036, 7041, 7044, 7046, 7047, 7050, 7052, 7056, 7057, 7058, 7063, 7069, 7074, 7076, 7077, 7078, 7081, 7082, 7085, 7088, 7090, 7091, 7092, 7093, 7094, 7095, 7098, 7099, 7100, 7102, 7103, 7104, 7105, 7107, 7108, 7109, 7111, 7112, 7113, 7115, 7116, 7121, 7123, 7124, 7127, 7129, 7130, 7133, 7134, 7135, 7136, 7138, 7140, 7142, 7143, 7144, 7146, 7151, 7152, 7156, 7161, 7162, 7163, 7166, 7168, 7170, 7173, 7175, 7178, 7182, 7186, 7187, 7188, 7190, 7191, 7193, 7194, 7197, 7198, 7199, 7200, 7202, 7203, 7204, 7209, 7211, 7214, 7215, 7216, 7218, 7225, 7228, 7229, 7231, 7236, 7238, 7241, 7245, 7246, 7251, 7252, 7256, 7259, 7262, 7266, 7270, 7274, 7275, 7276, 7277, 7278, 7279, 7280, 7281, 7284, 7286, 7287, 7291, 7296, 7297, 7299, 7300, 7302, 7304, 7307, 7308, 7311, 7312, 7326, 7328, 7330, 7332, 7333, 7334, 7336, 7337, 7341, 7343, 7344, 7345, 7346, 7347, 7348, 7352, 7358, 7359, 7360, 7368, 7369, 7373, 7375, 7377, 7382, 7384, 7387, 7389, 7390, 7392, 7396, 7397, 7400, 7401, 7404, 7405, 7412, 7413, 7417, 7424, 7425, 7426, 7429, 7430, 7431, 7441, 7442, 7443, 7447, 7448, 7449, 7450, 7453, 7454, 7455, 7459, 7460, 7465, 7467, 7469, 7471, 7472, 7473, 7474, 7478, 7482, 7484, 7487, 7489, 7492, 7494, 7495, 7502, 7504, 7506, 7510, 7513, 7518, 7522, 7527, 7532, 7533, 7534, 7540, 7550, 7552, 7553, 7558, 7563, 7564, 7565, 7566, 7575, 7578, 7579, 7580, 7582, 7584, 7586, 7589, 7590, 7591, 7595, 7598, 7601, 7602, 7603, 7608, 7611, 7614, 7615, 7616, 7618, 7619, 7621, 7628, 7629, 7630, 7634, 7637, 7638, 7639, 7640, 7641, 7643, 7644, 7648, 7652, 7654, 7655, 7656, 7664, 7665, 7666, 7667, 7668, 7670, 7671, 7672, 7673, 7678, 7682, 7683, 7686, 7693, 7695, 7696, 7697, 7698, 7703, 7709, 7711, 7713, 7714, 7715, 7720, 7724, 7727, 7728, 7730, 7731, 7734, 7735, 7737, 7739, 7742, 7747, 7751, 7752, 7753, 7755, 7757, 7758, 7761, 7763, 7764, 7765, 7773, 7775, 7776, 7779, 7781, 7783, 7784, 7788, 7791, 7793, 7794, 7796, 7798, 7800, 7804, 7805, 7806, 7809, 7811, 7812, 7814, 7815, 7818, 7822, 7825, 7827, 7830, 7832, 7834, 7838, 7844, 7845, 7849, 7852, 7854, 7855, 7856, 7858, 7859, 7862, 7863, 7864, 7865, 7869, 7871, 7872, 7874, 7878, 7880, 7883, 7888, 7895, 7897, 7900, 7908, 7909, 7910, 7911, 7912, 7914, 7918, 7920, 7922, 7923, 7925, 7928, 7929, 7932, 7933, 7934, 7939, 7942, 7947, 7949, 7951, 7952, 7961, 7962, 7966, 7967, 7968, 7970, 7975, 7977, 7978, 7979, 7980, 7982, 7986, 7987, 7990, 7991, 7993, 7997, 8000, 8002, 8005, 8007, 8008, 8011, 8013, 8016, 8019, 8020, 8021, 8022, 8024, 8025, 8028, 8036, 8038, 8040, 8043, 8045, 8049, 8050, 8059, 8065, 8068, 8071, 8075, 8076, 8077, 8078, 8079, 8081, 8082, 8093, 8094, 8095, 8096, 8099, 8100, 8103, 8104, 8106, 8107, 8108, 8112, 8116, 8117, 8118, 8120, 8122, 8127, 8128, 8130, 8133, 8135, 8137, 8140, 8145, 8150, 8155, 8156, 8157, 8159, 8160, 8161, 8163, 8165, 8166, 8169, 8171, 8173, 8174, 8176, 8177, 8178
14050 33, 43, 55, 56, 61, 66, 69, 77, 79, 85, 88, 90, 99, 101, 107, 108, 110, 114, 117, 123, 124, 136, 139, 143, 155, 157, 171, 177, 183, 192, 204, 206, 208, 209, 213, 242, 254, 257, 262, 270, 272, 273, 275, 283, 290, 297, 299, 310, 318, 340, 343, 347, 349, 355, 364, 367, 377, 378, 390, 395, 401, 413, 423, 431, 433, 437, 438, 441, 444, 460, 485, 493, 503, 506, 507, 519, 521, 529, 538, 545, 581, 583, 594, 603, 606, 607, 620, 650, 656, 663, 665, 676, 677, 678, 679, 680, 695, 698, 715, 723, 724, 727, 730, 747, 749, 784, 789, 799, 803, 807, 811, 814, 824, 829, 838, 841, 843, 846, 848, 862, 880, 881, 901, 902, 917, 930, 948, 949, 950, 955, 980, 1002, 1005, 1006, 1029, 1032, 1037, 1042, 1049, 1053, 1063, 1064, 1094, 1096, 1104, 1115, 1117, 1126, 1141, 1156, 1158, 1162, 1165, 1172, 1173, 1175, 1181, 1189, 1198, 1204, 1213, 1214, 1236, 1250, 1263, 1268, 1279, 1286, 1288, 1289, 1294, 1298, 1304, 1310, 1315, 1317, 1324, 1330, 1344, 1349, 1363, 1364, 1370, 1376, 1380, 1387, 1391, 1404, 1405, 1411, 1417, 1425, 1426, 1430, 1437, 1438, 1456, 1457, 1462, 1465, 1467, 1469, 1470, 1500, 1512, 1513, 1518, 1519, 1522, 1526, 1528, 1531, 1536, 1543, 1548, 1552, 1559, 1577, 1579, 1589, 1590, 1603, 1608, 1611, 1614, 1623, 1626, 1631, 1634, 1636, 1641, 1648, 1653, 1655, 1659, 1666, 1672, 1681, 1682, 1683, 1686, 1692, 1697, 1700, 1701, 1720, 1724, 1732, 1736, 1751, 1757, 1766, 1772, 1773, 1780, 1791, 1798, 1802, 1808, 1815, 1821, 1822, 1825, 1827, 1833, 1834, 1846, 1851, 1858, 1860, 1865, 1885, 1886, 1896, 1899, 1900, 1910, 1919, 1920, 1923, 1930, 1937, 1938, 1944, 1945, 1950, 1952, 1953, 1957, 1961, 1986, 1987, 1988, 1990, 1994, 1996, 2004, 2011, 2012, 2027, 2035, 2039, 2043, 2044, 2047, 2049, 2050, 2058, 2062, 2073, 2079, 2086, 2088, 2092, 2102, 2106, 2113, 2114, 2118, 2120, 2122, 2125, 2133, 2137, 2139, 2158, 2177, 2178, 2181, 2186, 2188, 2189, 2200, 2215, 2226, 2227, 2229, 2233, 2240, 2246, 2248, 2253, 2257, 2267, 2268, 2287, 2288, 2289, 2291, 2304, 2310, 2314, 2315, 2329, 2335, 2338, 2340, 2348, 2352, 2358, 2373, 2378, 2390, 2391, 2393, 2394, 2401, 2406, 2413, 2428, 2432, 2442, 2456, 2473, 2483, 2489, 2493, 2494, 2517, 2522, 2525, 2528, 2539, 2545, 2547, 2556, 2557, 2558, 2564, 2568, 2585, 2588, 2589, 2592, 2598, 2609, 2611, 2614, 2617, 2622, 2625, 2627, 2629, 2645, 2647, 2650, 2653, 2658, 2677, 2680, 2683, 2690, 2692, 2707, 2724, 2729, 2734, 2736, 2743, 2746, 2764, 2767, 2772, 2775, 2779, 2782, 2793, 2795, 2796, 2802, 2812, 2814, 2818, 2827, 2830, 2831, 2833, 2837, 2845, 2849, 2857, 2869, 2888, 2890, 2897, 2903, 2907, 2908, 2910, 2922, 2929, 2933, 2942, 2952, 2955, 2958, 2960, 2961, 2962, 2967, 2970, 2995, 2996, 3009, 3011, 3012, 3026, 3044, 3074, 3077, 3078, 3079, 3086, 3092, 3094, 3096, 3102, 3107, 3112, 3116, 3117, 3120, 3123, 3131, 3133, 3142, 3147, 3149, 3165, 3167, 3168, 3172, 3215, 3224, 3231, 3252, 3266, 3288, 3292, 3295, 3302, 3336, 3338, 3339, 3347, 3351, 3355, 3370, 3372, 3379, 3388, 3397, 3422, 3424, 3428, 3430, 3432, 3478, 3492, 3498, 3501, 3517, 3520, 3521, 3525, 3531, 3532, 3553, 3555, 3556, 3562, 3571, 3572, 3573, 3574, 3576, 3586, 3588, 3591, 3592, 3595, 3599, 3617, 3627, 3658, 3662, 3667, 3668, 3688, 3690, 3695, 3698, 3705, 3720, 3722, 3727, 3738, 3749, 3755, 3758, 3761, 3763, 3768, 3777, 3778, 3784, 3794, 3808, 3810, 3833, 3835, 3847, 3852, 3854, 3858, 3878, 3889, 3902, 3904, 3910, 3920, 3949, 3957, 3962, 3967, 3970, 3989, 3992, 3994, 3996, 4009, 4012, 4022, 4030, 4037, 4045, 4051, 4064, 4079, 4080, 4085, 4086, 4088, 4092, 4097, 4102, 4105, 4120, 4127, 4137, 4140, 4161, 4163, 4164, 4173, 4174, 4175, 4178, 4181, 4188, 4194, 4201, 4218, 4229, 4249, 4251, 4257, 4265, 4267, 4280, 4285, 4290, 4304, 4312, 4315, 4318, 4328, 4335, 4343, 4344, 4346, 4352, 4355, 4359, 4360, 4361, 4368, 4379, 4392, 4410, 4423, 4424, 4427, 4437, 4447, 4448, 4451, 4458, 4465, 4466, 4468, 4470, 4476, 4481, 4500, 4521, 4544, 4549, 4550, 4559, 4566, 4567, 4570, 4572, 4577, 4585, 4590, 4592, 4613, 4621, 4629, 4635, 4641, 4647, 4649, 4655, 4665, 4666, 4679, 4685, 4690, 4695, 4697, 4700, 4707, 4709, 4774, 4776, 4777, 4783, 4784, 4786, 4805, 4809, 4820, 4821, 4827, 4830, 4838, 4842, 4848, 4860, 4866, 4869, 4871, 4896, 4899, 4902, 4905, 4930, 4931, 4939, 4942, 4948, 4949, 4956, 4957, 4966, 4974, 4975, 5007, 5011, 5013, 5018, 5026, 5038, 5043, 5049, 5050, 5051, 5054, 5058, 5062, 5068, 5069, 5070, 5073, 5093, 5095, 5099, 5100, 5112, 5113, 5115, 5126, 5133, 5137, 5149, 5163, 5164, 5168, 5179, 5182, 5208, 5215, 5226, 5230, 5235, 5238, 5239, 5242, 5245, 5248, 5254, 5263, 5266, 5275, 5278, 5282, 5283, 5287, 5295, 5299, 5306, 5313, 5322, 5327, 5331, 5350, 5355, 5361, 5370, 5371, 5375, 5376, 5377, 5382, 5384, 5402, 5405, 5412, 5428, 5441, 5456, 5459, 5460, 5462, 5485, 5486, 5490, 5499, 5506, 5510, 5515, 5517, 5521, 5529, 5540, 5541, 5555, 5562, 5573, 5591, 5594, 5599, 5604, 5612, 5626, 5632, 5638, 5640, 5641, 5653, 5662, 5666, 5674, 5683, 5721, 5722, 5731, 5748, 5749, 5751, 5753, 5763, 5767, 5777, 5779, 5780, 5792, 5795, 5798, 5803, 5806, 5810, 5824, 5826, 5833, 5835, 5842, 5843, 5851, 5859, 5865, 5874, 5884, 5886, 5890, 5897, 5930, 5932, 5935, 5940, 5944, 5953, 5965, 5971, 5973, 5975, 5994, 6000, 6002, 6014, 6025, 6031, 6035, 6043, 6058, 6060, 6062, 6063, 6071, 6084, 6087, 6092, 6094, 6097, 6106, 6107, 6109, 6129, 6131, 6141, 6142, 6145, 6162, 6175, 6180, 6202, 6203, 6209, 6213, 6218, 6223, 6260, 6261, 6276, 6284, 6285, 6290, 6293, 6304, 6323, 6324, 6349, 6352, 6357, 6358, 6359, 6365, 6369, 6372, 6375, 6376, 6377, 6383, 6398, 6402, 6406, 6412, 6437, 6444, 6472, 6481, 6494, 6520, 6543, 6545, 6552, 6560, 6574, 6584, 6586, 6592, 6605, 6608, 6615, 6627, 6629, 6632, 6633, 6639, 6651, 6654, 6657, 6660, 6661, 6674, 6677, 6678, 6683, 6684, 6691, 6699, 6702, 6706, 6733, 6738, 6740, 6744, 6747, 6752, 6755, 6757, 6761, 6762, 6769, 6783, 6788, 6793, 6805, 6811, 6823, 6824, 6835, 6859, 6877, 6879, 6881, 6885, 6888, 6898, 6906, 6908, 6912, 6920, 6925, 6927, 6939, 6943, 6947, 6949, 6951, 6953, 6961, 6968, 6969, 6975, 6986, 6987, 6989, 7010, 7018, 7020, 7027, 7030, 7034, 7037, 7051, 7053, 7055, 7062, 7067, 7070, 7083, 7089, 7096, 7110, 7122, 7137, 7147, 7149, 7157, 7158, 7159, 7160, 7165, 7171, 7181, 7201, 7208, 7217, 7233, 7244, 7254, 7255, 7261, 7269, 7285, 7305, 7310, 7313, 7318, 7354, 7361, 7363, 7366, 7378, 7379, 7383, 7385, 7388, 7394, 7398, 7399, 7407, 7419, 7423, 7433, 7437, 7438, 7440, 7445, 7456, 7461, 7468, 7476, 7477, 7480, 7485, 7486, 7512, 7519, 7536, 7541, 7542, 7543, 7548, 7559, 7561, 7568, 7570, 7571, 7577, 7583, 7585, 7594, 7609, 7613, 7620, 7624, 7625, 7636, 7650, 7653, 7676, 7679, 7692, 7704, 7705, 7706, 7725, 7743, 7744, 7749, 7750, 7754, 7759, 7766, 7774, 7802, 7816, 7817, 7828, 7841, 7842, 7848, 7867, 7870, 7886, 7887, 7889, 7891, 7894, 7898, 7904, 7906, 7927, 7940, 7943, 7944, 7946, 7948, 7957, 7958, 7959, 7964, 7971, 7981, 7983, 7984, 7992, 7994, 8001, 8006, 8012, 8014, 8033, 8061, 8066, 8070, 8073, 8074, 8087, 8088, 8089, 8090, 8097, 8105, 8113, 8115, 8124, 8134, 8136, 8143, 8144, 8149, 8158, 8170, 8179, 8180
15358 3
1. Yu, Yuyin, Mingsheng Wang, and Yongqiang Li. "A Matrix Approach for Constructing Quadratic APN Functions."