GlobalWaveshaperTables.cpp

#include "Arduino.h"
#include "GlobalWaveshaperTables.h"

const uint8_t WAVE_SHAPER_TABLES[][4096]  = 
{
	{	
		// ChebyShev 3rd
		0, 8, 17, 26, 35, 44, 53, 62, 71, 80, 89, 98, 107, 115, 124, 133, 142, 151, 160, 168, 177, 186, 195, 203, 212, 221, 229, 238, 247, 256, 264, 273, 281, 290, 299, 307, 316, 324, 333, 342, 350, 359, 367, 376, 384, 393, 401, 410, 418, 426, 435, 443, 452, 460, 468, 477, 485, 494, 502, 510, 518, 527, 535, 543, 552, 560, 568, 576, 585, 593, 601, 609, 617, 625, 634, 642, 650, 658, 666, 674, 682, 690, 698, 707, 715, 723, 731, 739, 747, 755, 763, 771, 778, 786, 794, 802, 810, 818, 826, 834, 842, 850, 857, 865, 873, 881, 889, 896, 904, 912, 920, 927, 935, 943, 951, 958, 966, 974, 981, 989, 997, 1004, 1012, 1019, 1027, 1035, 1042, 1050, 1057, 1065, 1072, 1080, 1087, 1095, 1102, 1110, 1117, 1125, 1132, 1140, 1147, 1154, 1162, 1169, 1177, 1184, 1191, 1199, 1206, 1213, 1221, 1228, 1235, 1242, 1250, 1257, 1264, 1271, 1279, 1286, 1293, 1300, 1307, 1315, 1322, 1329, 1336, 1343, 1350, 1357, 1365, 1372, 1379, 1386, 1393, 1400, 1407, 1414, 1421, 1428, 1435, 1442, 1449, 1456, 1463, 1470, 1477, 1483, 1490, 1497, 1504, 1511, 1518, 1525, 1532, 1538, 1545, 1552, 1559, 1566, 1572, 1579, 1586, 1593, 1599, 1606, 1613, 1619, 1626, 1633, 1640, 1646, 1653, 1659, 1666, 1673, 1679, 1686, 1693, 1699, 1706, 1712, 1719, 1725, 1732, 1738, 1745, 1751, 1758, 1764, 1771, 1777, 1784, 1790, 1796, 1803, 1809, 1816, 1822, 1828, 1835, 1841, 1847, 1854, 1860, 1866, 1873, 1879, 1885, 1891, 1898, 1904, 1910, 1916, 1923, 1929, 1935, 1941, 1947, 1954, 1960, 1966, 1972, 1978, 1984, 1990, 1996, 2002, 2009, 2015, 2021, 2027, 2033, 2039, 2045, 2051, 2057, 2063, 2069, 2075, 2081, 2086, 2092, 2098, 2104, 2110, 2116, 2122, 2128, 2134, 2139, 2145, 2151, 2157, 2163, 2169, 2174, 2180, 2186, 2192, 2197, 2203, 2209, 2215, 2220, 2226, 2232, 2237, 2243, 2249, 2254, 2260, 2266, 2271, 2277, 2282, 2288, 2294, 2299, 2305, 2310, 2316, 2321, 2327, 2332, 2338, 2343, 2349, 2354, 2360, 2365, 2371, 2376, 2381, 2387, 2392, 2398, 2403, 2408, 2414, 2419, 2424, 2430, 2435, 2440, 2446, 2451, 2456, 2461, 2467, 2472, 2477, 2482, 2488, 2493, 2498, 2503, 2509, 2514, 2519, 2524, 2529, 2534, 2539, 2545, 2550, 2555, 2560, 2565, 2570, 2575, 2580, 2585, 2590, 2595, 2600, 2605, 2610, 2615, 2620, 2625, 2630, 2635, 2640, 2645, 2650, 2655, 2660, 2664, 2669, 2674, 2679, 2684, 2689, 2694, 2698, 2703, 2708, 2713, 2718, 2722, 2727, 2732, 2737, 2741, 2746, 2751, 2756, 2760, 2765, 2770, 2774, 2779, 2784, 2788, 2793, 2797, 2802, 2807, 2811, 2816, 2820, 2825, 2830, 2834, 2839, 2843, 2848, 2852, 2857, 2861, 2866, 2870, 2875, 2879, 2884, 2888, 2892, 2897, 2901, 2906, 2910, 2914, 2919, 2923, 2928, 2932, 2936, 2941, 2945, 2949, 2953, 2958, 2962, 2966, 2971, 2975, 2979, 2983, 2988, 2992, 2996, 3000, 3004, 3009, 3013, 3017, 3021, 3025, 3029, 3033, 3038, 3042, 3046, 3050, 3054, 3058, 3062, 3066, 3070, 3074, 3078, 3082, 3086, 3090, 3094, 3098, 3102, 3106, 3110, 3114, 3118, 3122, 3126, 3130, 3134, 3138, 3141, 3145, 3149, 3153, 3157, 3161, 3165, 3168, 3172, 3176, 3180, 3184, 3187, 3191, 3195, 3199, 3202, 3206, 3210, 3214, 3217, 3221, 3225, 3228, 3232, 3236, 3239, 3243, 3247, 3250, 3254, 3258, 3261, 3265, 3268, 3272, 3276, 3279, 3283, 3286, 3290, 3293, 3297, 3300, 3304, 3307, 3311, 3314, 3318, 3321, 3325, 3328, 3331, 3335, 3338, 3342, 3345, 3349, 3352, 3355, 3359, 3362, 3365, 3369, 3372, 3375, 3379, 3382, 3385, 3389, 3392, 3395, 3398, 3402, 3405, 3408, 3411, 3415, 3418, 3421, 3424, 3427, 3430, 3434, 3437, 3440, 3443, 3446, 3449, 3452, 3456, 3459, 3462, 3465, 3468, 3471, 3474, 3477, 3480, 3483, 3486, 3489, 3492, 3495, 3498, 3501, 3504, 3507, 3510, 3513, 3516, 3519, 3522, 3525, 3528, 3531, 3534, 3536, 3539, 3542, 3545, 3548, 3551, 3554, 3556, 3559, 3562, 3565, 3568, 3570, 3573, 3576, 3579, 3582, 3584, 3587, 3590, 3592, 3595, 3598, 3601, 3603, 3606, 3609, 3611, 3614, 3617, 3619, 3622, 3625, 3627, 3630, 3632, 3635, 3638, 3640, 3643, 3645, 3648, 3650, 3653, 3655, 3658, 3660, 3663, 3665, 3668, 3670, 3673, 3675, 3678, 3680, 3683, 3685, 3688, 3690, 3692, 3695, 3697, 3700, 3702, 3704, 3707, 3709, 3711, 3714, 3716, 3718, 3721, 3723, 3725, 3728, 3730, 3732, 3735, 3737, 3739, 3741, 3744, 3746, 3748, 3750, 3752, 3755, 3757, 3759, 3761, 3763, 3765, 3768, 3770, 3772, 3774, 3776, 3778, 3780, 3783, 3785, 3787, 3789, 3791, 3793, 3795, 3797, 3799, 3801, 3803, 3805, 3807, 3809, 3811, 3813, 3815, 3817, 3819, 3821, 3823, 3825, 3827, 3829, 3831, 3833, 3835, 3836, 3838, 3840, 3842, 3844, 3846, 3848, 3849, 3851, 3853, 3855, 3857, 3859, 3860, 3862, 3864, 3866, 3868, 3869, 3871, 3873, 3875, 3876, 3878, 3880, 3881, 3883, 3885, 3887, 3888, 3890, 3892, 3893, 3895, 3897, 3898, 3900, 3901, 3903, 3905, 3906, 3908, 3909, 3911, 3913, 3914, 3916, 3917, 3919, 3920, 3922, 3923, 3925, 3926, 3928, 3929, 3931, 3932, 3934, 3935, 3937, 3938, 3940, 3941, 3943, 3944, 3945, 3947, 3948, 3950, 3951, 3952, 3954, 3955, 3957, 3958, 3959, 3961, 3962, 3963, 3965, 3966, 3967, 3968, 3970, 3971, 3972, 3974, 3975, 3976, 3977, 3979, 3980, 3981, 3982, 3983, 3985, 3986, 3987, 3988, 3989, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3999, 4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010, 4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 4023, 4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 4032, 4033, 4034, 4034, 4035, 4036, 4037, 4038, 4039, 4040, 4040, 4041, 4042, 4043, 4044, 4045, 4045, 4046, 4047, 4048, 4048, 4049, 4050, 4051, 4051, 4052, 4053, 4054, 4054, 4055, 4056, 4056, 4057, 4058, 4058, 4059, 4060, 4060, 4061, 4062, 4062, 4063, 4064, 4064, 4065, 4065, 4066, 4067, 4067, 4068, 4068, 4069, 4070, 4070, 4071, 4071, 4072, 4072, 4073, 4073, 4074, 4074, 4075, 4075, 4076, 4076, 4077, 4077, 4078, 4078, 4079, 4079, 4079, 4080, 4080, 4081, 4081, 4081, 4082, 4082, 4083, 4083, 4083, 4084, 4084, 4084, 4085, 4085, 4085, 4086, 4086, 4086, 4087, 4087, 4087, 4088, 4088, 4088, 4088, 4089, 4089, 4089, 4090, 4090, 4090, 4090, 4090, 4091, 4091, 4091, 4091, 4091, 4092, 4092, 4092, 4092, 4092, 4093, 4093, 4093, 4093, 4093, 4093, 4093, 4093, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4095, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4093, 4093, 4093, 4093, 4093, 4093, 4093, 4093, 4092, 4092, 4092, 4092, 4092, 4092, 4091, 4091, 4091, 4091, 4091, 4090, 4090, 4090, 4090, 4089, 4089, 4089, 4089, 4088, 4088, 4088, 4088, 4087, 4087, 4087, 4086, 4086, 4086, 4085, 4085, 4085, 4085, 4084, 4084, 4083, 4083, 4083, 4082, 4082, 4082, 4081, 4081, 4080, 4080, 4080, 4079, 4079, 4078, 4078, 4078, 4077, 4077, 4076, 4076, 4075, 4075, 4074, 4074, 4073, 4073, 4072, 4072, 4071, 4071, 4070, 4070, 4069, 4069, 4068, 4068, 4067, 4067, 4066, 4066, 4065, 4064, 4064, 4063, 4063, 4062, 4062, 4061, 4060, 4060, 4059, 4058, 4058, 4057, 4057, 4056, 4055, 4055, 4054, 4053, 4053, 4052, 4051, 4051, 4050, 4049, 4049, 4048, 4047, 4046, 4046, 4045, 4044, 4043, 4043, 4042, 4041, 4040, 4040, 4039, 4038, 4037, 4037, 4036, 4035, 4034, 4033, 4033, 4032, 4031, 4030, 4029, 4029, 4028, 4027, 4026, 4025, 4024, 4023, 4023, 4022, 4021, 4020, 4019, 4018, 4017, 4016, 4015, 4015, 4014, 4013, 4012, 4011, 4010, 4009, 4008, 4007, 4006, 4005, 4004, 4003, 4002, 4001, 4000, 3999, 3998, 3997, 3996, 3995, 3994, 3993, 3992, 3991, 3990, 3989, 3988, 3987, 3986, 3985, 3984, 3983, 3982, 3981, 3980, 3979, 3977, 3976, 3975, 3974, 3973, 3972, 3971, 3970, 3969, 3967, 3966, 3965, 3964, 3963, 3962, 3961, 3959, 3958, 3957, 3956, 3955, 3954, 3952, 3951, 3950, 3949, 3948, 3946, 3945, 3944, 3943, 3941, 3940, 3939, 3938, 3936, 3935, 3934, 3933, 3931, 3930, 3929, 3928, 3926, 3925, 3924, 3922, 3921, 3920, 3919, 3917, 3916, 3915, 3913, 3912, 3911, 3909, 3908, 3907, 3905, 3904, 3902, 3901, 3900, 3898, 3897, 3896, 3894, 3893, 3891, 3890, 3889, 3887, 3886, 3884, 3883, 3882, 3880, 3879, 3877, 3876, 3874, 3873, 3871, 3870, 3869, 3867, 3866, 3864, 3863, 3861, 3860, 3858, 3857, 3855, 3854, 3852, 3851, 3849, 3848, 3846, 3845, 3843, 3841, 3840, 3838, 3837, 3835, 3834, 3832, 3831, 3829, 3827, 3826, 3824, 3823, 3821, 3819, 3818, 3816, 3815, 3813, 3811, 3810, 3808, 3807, 3805, 3803, 3802, 3800, 3798, 3797, 3795, 3793, 3792, 3790, 3788, 3787, 3785, 3783, 3782, 3780, 3778, 3777, 3775, 3773, 3771, 3770, 3768, 3766, 3765, 3763, 3761, 3759, 3758, 3756, 3754, 3752, 3751, 3749, 3747, 3745, 3744, 3742, 3740, 3738, 3736, 3735, 3733, 3731, 3729, 3727, 3726, 3724, 3722, 3720, 3718, 3717, 3715, 3713, 3711, 3709, 3707, 3706, 3704, 3702, 3700, 3698, 3696, 3694, 3693, 3691, 3689, 3687, 3685, 3683, 3681, 3679, 3677, 3676, 3674, 3672, 3670, 3668, 3666, 3664, 3662, 3660, 3658, 3656, 3654, 3652, 3650, 3648, 3647, 3645, 3643, 3641, 3639, 3637, 3635, 3633, 3631, 3629, 3627, 3625, 3623, 3621, 3619, 3617, 3615, 3613, 3611, 3609, 3607, 3605, 3603, 3601, 3599, 3596, 3594, 3592, 3590, 3588, 3586, 3584, 3582, 3580, 3578, 3576, 3574, 3572, 3570, 3568, 3565, 3563, 3561, 3559, 3557, 3555, 3553, 3551, 3549, 3546, 3544, 3542, 3540, 3538, 3536, 3534, 3532, 3529, 3527, 3525, 3523, 3521, 3519, 3516, 3514, 3512, 3510, 3508, 3506, 3503, 3501, 3499, 3497, 3495, 3492, 3490, 3488, 3486, 3484, 3481, 3479, 3477, 3475, 3473, 3470, 3468, 3466, 3464, 3461, 3459, 3457, 3455, 3452, 3450, 3448, 3446, 3443, 3441, 3439, 3437, 3434, 3432, 3430, 3427, 3425, 3423, 3421, 3418, 3416, 3414, 3411, 3409, 3407, 3404, 3402, 3400, 3398, 3395, 3393, 3391, 3388, 3386, 3384, 3381, 3379, 3377, 3374, 3372, 3369, 3367, 3365, 3362, 3360, 3358, 3355, 3353, 3351, 3348, 3346, 3343, 3341, 3339, 3336, 3334, 3331, 3329, 3327, 3324, 3322, 3319, 3317, 3315, 3312, 3310, 3307, 3305, 3303, 3300, 3298, 3295, 3293, 3290, 3288, 3285, 3283, 3281, 3278, 3276, 3273, 3271, 3268, 3266, 3263, 3261, 3258, 3256, 3253, 3251, 3248, 3246, 3244, 3241, 3239, 3236, 3234, 3231, 3229, 3226, 3224, 3221, 3219, 3216, 3214, 3211, 3208, 3206, 3203, 3201, 3198, 3196, 3193, 3191, 3188, 3186, 3183, 3181, 3178, 3176, 3173, 3170, 3168, 3165, 3163, 3160, 3158, 3155, 3152, 3150, 3147, 3145, 3142, 3140, 3137, 3134, 3132, 3129, 3127, 3124, 3121, 3119, 3116, 3114, 3111, 3108, 3106, 3103, 3101, 3098, 3095, 3093, 3090, 3088, 3085, 3082, 3080, 3077, 3074, 3072, 3069, 3066, 3064, 3061, 3059, 3056, 3053, 3051, 3048, 3045, 3043, 3040, 3037, 3035, 3032, 3029, 3027, 3024, 3021, 3019, 3016, 3013, 3011, 3008, 3005, 3002, 3000, 2997, 2994, 2992, 2989, 2986, 2984, 2981, 2978, 2976, 2973, 2970, 2967, 2965, 2962, 2959, 2957, 2954, 2951, 2948, 2946, 2943, 2940, 2937, 2935, 2932, 2929, 2927, 2924, 2921, 2918, 2916, 2913, 2910, 2907, 2905, 2902, 2899, 2896, 2894, 2891, 2888, 2885, 2882, 2880, 2877, 2874, 2871, 2869, 2866, 2863, 2860, 2858, 2855, 2852, 2849, 2846, 2844, 2841, 2838, 2835, 2832, 2830, 2827, 2824, 2821, 2818, 2816, 2813, 2810, 2807, 2804, 2802, 2799, 2796, 2793, 2790, 2788, 2785, 2782, 2779, 2776, 2773, 2771, 2768, 2765, 2762, 2759, 2756, 2754, 2751, 2748, 2745, 2742, 2739, 2737, 2734, 2731, 2728, 2725, 2722, 2720, 2717, 2714, 2711, 2708, 2705, 2702, 2700, 2697, 2694, 2691, 2688, 2685, 2682, 2679, 2677, 2674, 2671, 2668, 2665, 2662, 2659, 2657, 2654, 2651, 2648, 2645, 2642, 2639, 2636, 2633, 2631, 2628, 2625, 2622, 2619, 2616, 2613, 2610, 2607, 2605, 2602, 2599, 2596, 2593, 2590, 2587, 2584, 2581, 2578, 2575, 2573, 2570, 2567, 2564, 2561, 2558, 2555, 2552, 2549, 2546, 2543, 2541, 2538, 2535, 2532, 2529, 2526, 2523, 2520, 2517, 2514, 2511, 2508, 2505, 2502, 2500, 2497, 2494, 2491, 2488, 2485, 2482, 2479, 2476, 2473, 2470, 2467, 2464, 2461, 2458, 2455, 2453, 2450, 2447, 2444, 2441, 2438, 2435, 2432, 2429, 2426, 2423, 2420, 2417, 2414, 2411, 2408, 2405, 2402, 2399, 2396, 2393, 2390, 2388, 2385, 2382, 2379, 2376, 2373, 2370, 2367, 2364, 2361, 2358, 2355, 2352, 2349, 2346, 2343, 2340, 2337, 2334, 2331, 2328, 2325, 2322, 2319, 2316, 2313, 2310, 2307, 2304, 2301, 2298, 2295, 2292, 2289, 2286, 2283, 2280, 2278, 2275, 2272, 2269, 2266, 2263, 2260, 2257, 2254, 2251, 2248, 2245, 2242, 2239, 2236, 2233, 2230, 2227, 2224, 2221, 2218, 2215, 2212, 2209, 2206, 2203, 2200, 2197, 2194, 2191, 2188, 2185, 2182, 2179, 2176, 2173, 2170, 2167, 2164, 2161, 2158, 2155, 2152, 2149, 2146, 2143, 2140, 2137, 2134, 2131, 2128, 2125, 2122, 2119, 2116, 2113, 2110, 2107, 2104, 2101, 2098, 2095, 2092, 2089, 2086, 2083, 2080, 2077, 2074, 2071, 2068, 2065, 2062, 2059, 2056, 2053, 2050, 2047, 2044, 2041, 2038, 2035, 2032, 2029, 2026, 2023, 2020, 2017, 2014, 2011, 2008, 2005, 2002, 1999, 1996, 1993, 1990, 1987, 1984, 1981, 1978, 1975, 1972, 1969, 1966, 1963, 1960, 1957, 1954, 1951, 1948, 1945, 1942, 1939, 1936, 1933, 1930, 1927, 1924, 1921, 1918, 1915, 1912, 1909, 1906, 1903, 1900, 1897, 1894, 1891, 1888, 1885, 1882, 1879, 1876, 1873, 1870, 1867, 1864, 1861, 1858, 1855, 1852, 1849, 1846, 1843, 1840, 1837, 1834, 1831, 1828, 1825, 1822, 1819, 1816, 1814, 1811, 1808, 1805, 1802, 1799, 1796, 1793, 1790, 1787, 1784, 1781, 1778, 1775, 1772, 1769, 1766, 1763, 1760, 1757, 1754, 1751, 1748, 1745, 1742, 1739, 1736, 1733, 1730, 1727, 1724, 1721, 1718, 1715, 1712, 1709, 1706, 1704, 1701, 1698, 1695, 1692, 1689, 1686, 1683, 1680, 1677, 1674, 1671, 1668, 1665, 1662, 1659, 1656, 1653, 1650, 1647, 1644, 1641, 1639, 1636, 1633, 1630, 1627, 1624, 1621, 1618, 1615, 1612, 1609, 1606, 1603, 1600, 1597, 1594, 1592, 1589, 1586, 1583, 1580, 1577, 1574, 1571, 1568, 1565, 1562, 1559, 1556, 1553, 1551, 1548, 1545, 1542, 1539, 1536, 1533, 1530, 1527, 1524, 1521, 1519, 1516, 1513, 1510, 1507, 1504, 1501, 1498, 1495, 1492, 1489, 1487, 1484, 1481, 1478, 1475, 1472, 1469, 1466, 1463, 1461, 1458, 1455, 1452, 1449, 1446, 1443, 1440, 1437, 1435, 1432, 1429, 1426, 1423, 1420, 1417, 1415, 1412, 1409, 1406, 1403, 1400, 1397, 1394, 1392, 1389, 1386, 1383, 1380, 1377, 1374, 1372, 1369, 1366, 1363, 1360, 1357, 1355, 1352, 1349, 1346, 1343, 1340, 1338, 1335, 1332, 1329, 1326, 1323, 1321, 1318, 1315, 1312, 1309, 1306, 1304, 1301, 1298, 1295, 1292, 1290, 1287, 1284, 1281, 1278, 1276, 1273, 1270, 1267, 1264, 1262, 1259, 1256, 1253, 1250, 1248, 1245, 1242, 1239, 1236, 1234, 1231, 1228, 1225, 1223, 1220, 1217, 1214, 1212, 1209, 1206, 1203, 1200, 1198, 1195, 1192, 1189, 1187, 1184, 1181, 1178, 1176, 1173, 1170, 1167, 1165, 1162, 1159, 1157, 1154, 1151, 1148, 1146, 1143, 1140, 1137, 1135, 1132, 1129, 1127, 1124, 1121, 1118, 1116, 1113, 1110, 1108, 1105, 1102, 1100, 1097, 1094, 1092, 1089, 1086, 1083, 1081, 1078, 1075, 1073, 1070, 1067, 1065, 1062, 1059, 1057, 1054, 1051, 1049, 1046, 1043, 1041, 1038, 1035, 1033, 1030, 1028, 1025, 1022, 1020, 1017, 1014, 1012, 1009, 1006, 1004, 1001, 999, 996, 993, 991, 988, 986, 983, 980, 978, 975, 973, 970, 967, 965, 962, 960, 957, 954, 952, 949, 947, 944, 942, 939, 936, 934, 931, 929, 926, 924, 921, 918, 916, 913, 911, 908, 906, 903, 901, 898, 896, 893, 891, 888, 886, 883, 880, 878, 875, 873, 870, 868, 865, 863, 860, 858, 855, 853, 850, 848, 846, 843, 841, 838, 836, 833, 831, 828, 826, 823, 821, 818, 816, 813, 811, 809, 806, 804, 801, 799, 796, 794, 791, 789, 787, 784, 782, 779, 777, 775, 772, 770, 767, 765, 763, 760, 758, 755, 753, 751, 748, 746, 743, 741, 739, 736, 734, 732, 729, 727, 725, 722, 720, 717, 715, 713, 710, 708, 706, 703, 701, 699, 696, 694, 692, 690, 687, 685, 683, 680, 678, 676, 673, 671, 669, 667, 664, 662, 660, 657, 655, 653, 651, 648, 646, 644, 642, 639, 637, 635, 633, 630, 628, 626, 624, 621, 619, 617, 615, 613, 610, 608, 606, 604, 602, 599, 597, 595, 593, 591, 588, 586, 584, 582, 580, 578, 575, 573, 571, 569, 567, 565, 562, 560, 558, 556, 554, 552, 550, 548, 545, 543, 541, 539, 537, 535, 533, 531, 529, 526, 524, 522, 520, 518, 516, 514, 512, 510, 508, 506, 504, 502, 500, 498, 495, 493, 491, 489, 487, 485, 483, 481, 479, 477, 475, 473, 471, 469, 467, 465, 463, 461, 459, 457, 455, 453, 451, 449, 447, 446, 444, 442, 440, 438, 436, 434, 432, 430, 428, 426, 424, 422, 420, 418, 417, 415, 413, 411, 409, 407, 405, 403, 401, 400, 398, 396, 394, 392, 390, 388, 387, 385, 383, 381, 379, 377, 376, 374, 372, 370, 368, 367, 365, 363, 361, 359, 358, 356, 354, 352, 350, 349, 347, 345, 343, 342, 340, 338, 336, 335, 333, 331, 329, 328, 326, 324, 323, 321, 319, 317, 316, 314, 312, 311, 309, 307, 306, 304, 302, 301, 299, 297, 296, 294, 292, 291, 289, 287, 286, 284, 283, 281, 279, 278, 276, 275, 273, 271, 270, 268, 267, 265, 263, 262, 260, 259, 257, 256, 254, 253, 251, 249, 248, 246, 245, 243, 242, 240, 239, 237, 236, 234, 233, 231, 230, 228, 227, 225, 224, 223, 221, 220, 218, 217, 215, 214, 212, 211, 210, 208, 207, 205, 204, 203, 201, 200, 198, 197, 196, 194, 193, 192, 190, 189, 187, 186, 185, 183, 182, 181, 179, 178, 177, 175, 174, 173, 172, 170, 169, 168, 166, 165, 164, 163, 161, 160, 159, 158, 156, 155, 154, 153, 151, 150, 149, 148, 146, 145, 144, 143, 142, 140, 139, 138, 137, 136, 135, 133, 132, 131, 130, 129, 128, 127, 125, 124, 123, 122, 121, 120, 119, 118, 117, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 79, 78, 77, 76, 75, 74, 73, 72, 71, 71, 70, 69, 68, 67, 66, 65, 65, 64, 63, 62, 61, 61, 60, 59, 58, 57, 57, 56, 55, 54, 54, 53, 52, 51, 51, 50, 49, 48, 48, 47, 46, 45, 45, 44, 43, 43, 42, 41, 41, 40, 39, 39, 38, 37, 37, 36, 36, 35, 34, 34, 33, 32, 32, 31, 31, 30, 30, 29, 28, 28, 27, 27, 26, 26, 25, 25, 24, 24, 23, 23, 22, 22, 21, 21, 20, 20, 19, 19, 18, 18, 17, 17, 16, 16, 16, 15, 15, 14, 14, 14, 13, 13, 12, 12, 12, 11, 11, 11, 10, 10, 9, 9, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 26, 26, 27, 27, 28, 29, 29, 30, 30, 31, 32, 32, 33, 34, 34, 35, 36, 36, 37, 38, 38, 39, 40, 40, 41, 42, 43, 43, 44, 45, 46, 46, 47, 48, 49, 49, 50, 51, 52, 53, 54, 54, 55, 56, 57, 58, 59, 60, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 97, 98, 99, 100, 101, 102, 103, 105, 106, 107, 108, 109, 111, 112, 113, 114, 115, 117, 118, 119, 120, 122, 123, 124, 126, 127, 128, 129, 131, 132, 133, 135, 136, 137, 139, 140, 142, 143, 144, 146, 147, 149, 150, 151, 153, 154, 156, 157, 159, 160, 162, 163, 165, 166, 168, 169, 171, 172, 174, 175, 177, 178, 180, 181, 183, 185, 186, 188, 189, 191, 193, 194, 196, 197, 199, 201, 202, 204, 206, 207, 209, 211, 213, 214, 216, 218, 219, 221, 223, 225, 226, 228, 230, 232, 234, 235, 237, 239, 241, 243, 245, 246, 248, 250, 252, 254, 256, 258, 259, 261, 263, 265, 267, 269, 271, 273, 275, 277, 279, 281, 283, 285, 287, 289, 291, 293, 295, 297, 299, 301, 303, 305, 307, 309, 311, 314, 316, 318, 320, 322, 324, 326, 329, 331, 333, 335, 337, 339, 342, 344, 346, 348, 350, 353, 355, 357, 359, 362, 364, 366, 369, 371, 373, 376, 378, 380, 383, 385, 387, 390, 392, 394, 397, 399, 402, 404, 406, 409, 411, 414, 416, 419, 421, 424, 426, 429, 431, 434, 436, 439, 441, 444, 446, 449, 451, 454, 456, 459, 462, 464, 467, 469, 472, 475, 477, 480, 483, 485, 488, 491, 493, 496, 499, 502, 504, 507, 510, 512, 515, 518, 521, 524, 526, 529, 532, 535, 538, 540, 543, 546, 549, 552, 555, 558, 560, 563, 566, 569, 572, 575, 578, 581, 584, 587, 590, 593, 596, 599, 602, 605, 608, 611, 614, 617, 620, 623, 626, 629, 632, 635, 638, 642, 645, 648, 651, 654, 657, 660, 664, 667, 670, 673, 676, 679, 683, 686, 689, 692, 696, 699, 702, 705, 709, 712, 715, 719, 722, 725, 729, 732, 735, 739, 742, 745, 749, 752, 756, 759, 763, 766, 769, 773, 776, 780, 783, 787, 790, 794, 797, 801, 804, 808, 811, 815, 818, 822, 826, 829, 833, 836, 840, 844, 847, 851, 855, 858, 862, 866, 869, 873, 877, 880, 884, 888, 892, 895, 899, 903, 907, 910, 914, 918, 922, 926, 929, 933, 937, 941, 945, 949, 953, 956, 960, 964, 968, 972, 976, 980, 984, 988, 992, 996, 1000, 1004, 1008, 1012, 1016, 1020, 1024, 1028, 1032, 1036, 1040, 1044, 1048, 1052, 1056, 1061, 1065, 1069, 1073, 1077, 1081, 1085, 1090, 1094, 1098, 1102, 1106, 1111, 1115, 1119, 1123, 1128, 1132, 1136, 1141, 1145, 1149, 1153, 1158, 1162, 1166, 1171, 1175, 1180, 1184, 1188, 1193, 1197, 1202, 1206, 1210, 1215, 1219, 1224, 1228, 1233, 1237, 1242, 1246, 1251, 1255, 1260, 1264, 1269, 1274, 1278, 1283, 1287, 1292, 1297, 1301, 1306, 1310, 1315, 1320, 1324, 1329, 1334, 1338, 1343, 1348, 1353, 1357, 1362, 1367, 1372, 1376, 1381, 1386, 1391, 1396, 1400, 1405, 1410, 1415, 1420, 1425, 1430, 1434, 1439, 1444, 1449, 1454, 1459, 1464, 1469, 1474, 1479, 1484, 1489, 1494, 1499, 1504, 1509, 1514, 1519, 1524, 1529, 1534, 1539, 1544, 1549, 1555, 1560, 1565, 1570, 1575, 1580, 1585, 1591, 1596, 1601, 1606, 1612, 1617, 1622, 1627, 1633, 1638, 1643, 1648, 1654, 1659, 1664, 1670, 1675, 1680, 1686, 1691, 1696, 1702, 1707, 1713, 1718, 1723, 1729, 1734, 1740, 1745, 1751, 1756, 1762, 1767, 1773, 1778, 1784, 1789, 1795, 1800, 1806, 1812, 1817, 1823, 1828, 1834, 1840, 1845, 1851, 1857, 1862, 1868, 1874, 1879, 1885, 1891, 1897, 1902, 1908, 1914, 1920, 1925, 1931, 1937, 1943, 1949, 1955, 1960, 1966, 1972, 1978, 1984, 1990, 1996, 2002, 2008, 2013, 2019, 2025, 2031, 2037, 2043, 2049, 2055, 2061, 2067, 2073, 2079, 2085, 2092, 2098, 2104, 2110, 2116, 2122, 2128, 2134, 2140, 2147, 2153, 2159, 2165, 2171, 2178, 2184, 2190, 2196, 2203, 2209, 2215, 2221, 2228, 2234, 2240, 2247, 2253, 2259, 2266, 2272, 2278, 2285, 2291, 2298, 2304, 2310, 2317, 2323, 2330, 2336, 2343, 2349, 2356, 2362, 2369, 2375, 2382, 2388, 2395, 2401, 2408, 2415, 2421, 2428, 2435, 2441, 2448, 2454, 2461, 2468, 2475, 2481, 2488, 2495, 2501, 2508, 2515, 2522, 2528, 2535, 2542, 2549, 2556, 2562, 2569, 2576, 2583, 2590, 2597, 2604, 2611, 2617, 2624, 2631, 2638, 2645, 2652, 2659, 2666, 2673, 2680, 2687, 2694, 2701, 2708, 2715, 2722, 2729, 2737, 2744, 2751, 2758, 2765, 2772, 2779, 2787, 2794, 2801, 2808, 2815, 2823, 2830, 2837, 2844, 2852, 2859, 2866, 2873, 2881, 2888, 2895, 2903, 2910, 2917, 2925, 2932, 2940, 2947, 2954, 2962, 2969, 2977, 2984, 2992, 2999, 3007, 3014, 3022, 3029, 3037, 3044, 3052, 3059, 3067, 3075, 3082, 3090, 3097, 3105, 3113, 3120, 3128, 3136, 3143, 3151, 3159, 3167, 3174, 3182, 3190, 3198, 3205, 3213, 3221, 3229, 3237, 3244, 3252, 3260, 3268, 3276, 3284, 3292, 3300, 3308, 3316, 3323, 3331, 3339, 3347, 3355, 3363, 3371, 3379, 3387, 3396, 3404, 3412, 3420, 3428, 3436, 3444, 3452, 3460, 3469, 3477, 3485, 3493, 3501, 3509, 3518, 3526, 3534, 3542, 3551, 3559, 3567, 3576, 3584, 3592, 3600, 3609, 3617, 3626, 3634, 3642, 3651, 3659, 3668, 3676, 3684, 3693, 3701, 3710, 3718, 3727, 3735, 3744, 3752, 3761, 3770, 3778, 3787, 3795, 3804, 3813, 3821, 3830, 3838, 3847, 3856, 3865, 3873, 3882, 3891, 3899, 3908, 3917, 3926, 3934, 3943, 3952, 3961, 3970, 3979, 3987, 3996, 4005, 4014, 4023, 4032, 4041, 4050, 4059, 4068, 4077, 4086
	},
	{
		// ChebyShev 4th
		4095, 4079, 4063, 4047, 4031, 4015, 3999, 3983, 3968, 3952, 3936, 3921, 3905, 3890, 3874, 3859, 3844, 3828, 3813, 3798, 3782, 3767, 3752, 3737, 3722, 3707, 3692, 3677, 3662, 3647, 3632, 3617, 3602, 3588, 3573, 3558, 3544, 3529, 3514, 3500, 3485, 3471, 3457, 3442, 3428, 3414, 3399, 3385, 3371, 3357, 3343, 3328, 3314, 3300, 3286, 3273, 3259, 3245, 3231, 3217, 3203, 3190, 3176, 3162, 3149, 3135, 3122, 3108, 3095, 3081, 3068, 3055, 3041, 3028, 3015, 3001, 2988, 2975, 2962, 2949, 2936, 2923, 2910, 2897, 2884, 2871, 2858, 2846, 2833, 2820, 2808, 2795, 2782, 2770, 2757, 2745, 2732, 2720, 2707, 2695, 2683, 2670, 2658, 2646, 2634, 2621, 2609, 2597, 2585, 2573, 2561, 2549, 2537, 2525, 2514, 2502, 2490, 2478, 2466, 2455, 2443, 2432, 2420, 2408, 2397, 2385, 2374, 2363, 2351, 2340, 2329, 2317, 2306, 2295, 2284, 2272, 2261, 2250, 2239, 2228, 2217, 2206, 2195, 2184, 2174, 2163, 2152, 2141, 2131, 2120, 2109, 2099, 2088, 2077, 2067, 2056, 2046, 2035, 2025, 2015, 2004, 1994, 1984, 1974, 1963, 1953, 1943, 1933, 1923, 1913, 1903, 1893, 1883, 1873, 1863, 1853, 1843, 1834, 1824, 1814, 1804, 1795, 1785, 1775, 1766, 1756, 1747, 1737, 1728, 1718, 1709, 1700, 1690, 1681, 1672, 1663, 1653, 1644, 1635, 1626, 1617, 1608, 1599, 1590, 1581, 1572, 1563, 1554, 1545, 1536, 1528, 1519, 1510, 1501, 1493, 1484, 1476, 1467, 1458, 1450, 1441, 1433, 1425, 1416, 1408, 1399, 1391, 1383, 1375, 1366, 1358, 1350, 1342, 1334, 1326, 1318, 1310, 1302, 1294, 1286, 1278, 1270, 1262, 1254, 1246, 1239, 1231, 1223, 1216, 1208, 1200, 1193, 1185, 1178, 1170, 1163, 1155, 1148, 1140, 1133, 1126, 1118, 1111, 1104, 1097, 1089, 1082, 1075, 1068, 1061, 1054, 1047, 1040, 1033, 1026, 1019, 1012, 1005, 998, 992, 985, 978, 971, 965, 958, 951, 945, 938, 931, 925, 918, 912, 905, 899, 893, 886, 880, 873, 867, 861, 855, 848, 842, 836, 830, 824, 818, 812, 806, 800, 794, 788, 782, 776, 770, 764, 758, 752, 747, 741, 735, 729, 724, 718, 712, 707, 701, 696, 690, 685, 679, 674, 668, 663, 657, 652, 647, 642, 636, 631, 626, 621, 615, 610, 605, 600, 595, 590, 585, 580, 575, 570, 565, 560, 555, 550, 545, 541, 536, 531, 526, 522, 517, 512, 508, 503, 498, 494, 489, 485, 480, 476, 471, 467, 462, 458, 454, 449, 445, 441, 436, 432, 428, 424, 420, 415, 411, 407, 403, 399, 395, 391, 387, 383, 379, 375, 371, 367, 364, 360, 356, 352, 348, 345, 341, 337, 334, 330, 326, 323, 319, 316, 312, 308, 305, 302, 298, 295, 291, 288, 284, 281, 278, 275, 271, 268, 265, 262, 258, 255, 252, 249, 246, 243, 240, 237, 234, 231, 228, 225, 222, 219, 216, 213, 210, 207, 205, 202, 199, 196, 193, 191, 188, 185, 183, 180, 178, 175, 172, 170, 167, 165, 162, 160, 157, 155, 153, 150, 148, 146, 143, 141, 139, 136, 134, 132, 130, 128, 125, 123, 121, 119, 117, 115, 113, 111, 109, 107, 105, 103, 101, 99, 97, 95, 94, 92, 90, 88, 86, 85, 83, 81, 79, 78, 76, 74, 73, 71, 70, 68, 67, 65, 63, 62, 61, 59, 58, 56, 55, 53, 52, 51, 49, 48, 47, 46, 44, 43, 42, 41, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 20, 19, 18, 17, 16, 16, 15, 14, 14, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 11, 11, 12, 12, 13, 14, 14, 15, 16, 16, 17, 18, 18, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 68, 70, 71, 73, 74, 75, 77, 78, 80, 81, 83, 84, 86, 87, 89, 90, 92, 93, 95, 97, 98, 100, 101, 103, 105, 106, 108, 110, 111, 113, 115, 117, 118, 120, 122, 124, 126, 127, 129, 131, 133, 135, 137, 138, 140, 142, 144, 146, 148, 150, 152, 154, 156, 158, 160, 162, 164, 166, 168, 170, 172, 174, 176, 178, 180, 183, 185, 187, 189, 191, 193, 195, 198, 200, 202, 204, 207, 209, 211, 213, 216, 218, 220, 222, 225, 227, 229, 232, 234, 236, 239, 241, 244, 246, 248, 251, 253, 256, 258, 261, 263, 266, 268, 271, 273, 276, 278, 281, 283, 286, 288, 291, 294, 296, 299, 301, 304, 307, 309, 312, 315, 317, 320, 323, 325, 328, 331, 334, 336, 339, 342, 345, 347, 350, 353, 356, 358, 361, 364, 367, 370, 373, 375, 378, 381, 384, 387, 390, 393, 396, 399, 402, 405, 407, 410, 413, 416, 419, 422, 425, 428, 431, 434, 437, 440, 444, 447, 450, 453, 456, 459, 462, 465, 468, 471, 474, 478, 481, 484, 487, 490, 493, 496, 500, 503, 506, 509, 512, 516, 519, 522, 525, 529, 532, 535, 538, 542, 545, 548, 552, 555, 558, 562, 565, 568, 572, 575, 578, 582, 585, 588, 592, 595, 599, 602, 605, 609, 612, 616, 619, 623, 626, 629, 633, 636, 640, 643, 647, 650, 654, 657, 661, 664, 668, 671, 675, 678, 682, 686, 689, 693, 696, 700, 703, 707, 711, 714, 718, 721, 725, 729, 732, 736, 740, 743, 747, 751, 754, 758, 762, 765, 769, 773, 776, 780, 784, 787, 791, 795, 799, 802, 806, 810, 814, 817, 821, 825, 829, 832, 836, 840, 844, 848, 851, 855, 859, 863, 867, 870, 874, 878, 882, 886, 890, 894, 897, 901, 905, 909, 913, 917, 921, 925, 928, 932, 936, 940, 944, 948, 952, 956, 960, 964, 968, 972, 976, 980, 983, 987, 991, 995, 999, 1003, 1007, 1011, 1015, 1019, 1023, 1027, 1031, 1035, 1039, 1043, 1047, 1051, 1055, 1059, 1063, 1067, 1072, 1076, 1080, 1084, 1088, 1092, 1096, 1100, 1104, 1108, 1112, 1116, 1120, 1124, 1128, 1133, 1137, 1141, 1145, 1149, 1153, 1157, 1161, 1165, 1170, 1174, 1178, 1182, 1186, 1190, 1194, 1199, 1203, 1207, 1211, 1215, 1219, 1223, 1228, 1232, 1236, 1240, 1244, 1248, 1253, 1257, 1261, 1265, 1269, 1274, 1278, 1282, 1286, 1290, 1295, 1299, 1303, 1307, 1311, 1316, 1320, 1324, 1328, 1333, 1337, 1341, 1345, 1350, 1354, 1358, 1362, 1366, 1371, 1375, 1379, 1383, 1388, 1392, 1396, 1401, 1405, 1409, 1413, 1418, 1422, 1426, 1430, 1435, 1439, 1443, 1448, 1452, 1456, 1460, 1465, 1469, 1473, 1478, 1482, 1486, 1490, 1495, 1499, 1503, 1508, 1512, 1516, 1521, 1525, 1529, 1533, 1538, 1542, 1546, 1551, 1555, 1559, 1564, 1568, 1572, 1577, 1581, 1585, 1590, 1594, 1598, 1603, 1607, 1611, 1616, 1620, 1624, 1629, 1633, 1637, 1642, 1646, 1650, 1655, 1659, 1663, 1668, 1672, 1676, 1681, 1685, 1689, 1694, 1698, 1702, 1707, 1711, 1715, 1720, 1724, 1729, 1733, 1737, 1742, 1746, 1750, 1755, 1759, 1763, 1768, 1772, 1776, 1781, 1785, 1789, 1794, 1798, 1802, 1807, 1811, 1816, 1820, 1824, 1829, 1833, 1837, 1842, 1846, 1850, 1855, 1859, 1863, 1868, 1872, 1876, 1881, 1885, 1890, 1894, 1898, 1903, 1907, 1911, 1916, 1920, 1924, 1929, 1933, 1937, 1942, 1946, 1950, 1955, 1959, 1963, 1968, 1972, 1976, 1981, 1985, 1990, 1994, 1998, 2003, 2007, 2011, 2016, 2020, 2024, 2029, 2033, 2037, 2042, 2046, 2050, 2055, 2059, 2063, 2067, 2072, 2076, 2080, 2085, 2089, 2093, 2098, 2102, 2106, 2111, 2115, 2119, 2124, 2128, 2132, 2137, 2141, 2145, 2149, 2154, 2158, 2162, 2167, 2171, 2175, 2180, 2184, 2188, 2192, 2197, 2201, 2205, 2210, 2214, 2218, 2222, 2227, 2231, 2235, 2239, 2244, 2248, 2252, 2256, 2261, 2265, 2269, 2274, 2278, 2282, 2286, 2291, 2295, 2299, 2303, 2308, 2312, 2316, 2320, 2324, 2329, 2333, 2337, 2341, 2346, 2350, 2354, 2358, 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92, 90, 89, 87, 86, 84, 83, 81, 80, 78, 77, 75, 74, 73, 71, 70, 68, 67, 66, 64, 63, 62, 60, 59, 58, 57, 55, 54, 53, 52, 50, 49, 48, 47, 46, 45, 44, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 27, 26, 25, 24, 23, 22, 22, 21, 20, 19, 18, 18, 17, 16, 16, 15, 14, 14, 13, 12, 12, 11, 11, 10, 9, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 12, 12, 13, 14, 14, 15, 16, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 46, 47, 48, 49, 51, 52, 53, 55, 56, 58, 59, 61, 62, 63, 65, 67, 68, 70, 71, 73, 74, 76, 78, 79, 81, 83, 85, 86, 88, 90, 92, 94, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 128, 130, 132, 134, 136, 139, 141, 143, 146, 148, 150, 153, 155, 157, 160, 162, 165, 167, 170, 172, 175, 178, 180, 183, 185, 188, 191, 193, 196, 199, 202, 205, 207, 210, 213, 216, 219, 222, 225, 228, 231, 234, 237, 240, 243, 246, 249, 252, 255, 258, 262, 265, 268, 271, 275, 278, 281, 284, 288, 291, 295, 298, 302, 305, 308, 312, 316, 319, 323, 326, 330, 334, 337, 341, 345, 348, 352, 356, 360, 364, 367, 371, 375, 379, 383, 387, 391, 395, 399, 403, 407, 411, 415, 420, 424, 428, 432, 436, 441, 445, 449, 454, 458, 462, 467, 471, 476, 480, 485, 489, 494, 498, 503, 508, 512, 517, 522, 526, 531, 536, 541, 545, 550, 555, 560, 565, 570, 575, 580, 585, 590, 595, 600, 605, 610, 615, 621, 626, 631, 636, 642, 647, 652, 657, 663, 668, 674, 679, 685, 690, 696, 701, 707, 712, 718, 724, 729, 735, 741, 747, 752, 758, 764, 770, 776, 782, 788, 794, 800, 806, 812, 818, 824, 830, 836, 842, 848, 855, 861, 867, 873, 880, 886, 893, 899, 905, 912, 918, 925, 931, 938, 945, 951, 958, 965, 971, 978, 985, 992, 998, 1005, 1012, 1019, 1026, 1033, 1040, 1047, 1054, 1061, 1068, 1075, 1082, 1089, 1097, 1104, 1111, 1118, 1126, 1133, 1140, 1148, 1155, 1163, 1170, 1178, 1185, 1193, 1200, 1208, 1216, 1223, 1231, 1239, 1246, 1254, 1262, 1270, 1278, 1286, 1294, 1302, 1310, 1318, 1326, 1334, 1342, 1350, 1358, 1366, 1375, 1383, 1391, 1399, 1408, 1416, 1425, 1433, 1441, 1450, 1458, 1467, 1476, 1484, 1493, 1501, 1510, 1519, 1528, 1536, 1545, 1554, 1563, 1572, 1581, 1590, 1599, 1608, 1617, 1626, 1635, 1644, 1653, 1663, 1672, 1681, 1690, 1700, 1709, 1718, 1728, 1737, 1747, 1756, 1766, 1775, 1785, 1795, 1804, 1814, 1824, 1834, 1843, 1853, 1863, 1873, 1883, 1893, 1903, 1913, 1923, 1933, 1943, 1953, 1963, 1974, 1984, 1994, 2004, 2015, 2025, 2035, 2046, 2056, 2067, 2077, 2088, 2099, 2109, 2120, 2131, 2141, 2152, 2163, 2174, 2184, 2195, 2206, 2217, 2228, 2239, 2250, 2261, 2272, 2284, 2295, 2306, 2317, 2329, 2340, 2351, 2363, 2374, 2385, 2397, 2408, 2420, 2432, 2443, 2455, 2466, 2478, 2490, 2502, 2514, 2525, 2537, 2549, 2561, 2573, 2585, 2597, 2609, 2621, 2634, 2646, 2658, 2670, 2683, 2695, 2707, 2720, 2732, 2745, 2757, 2770, 2782, 2795, 2808, 2820, 2833, 2846, 2858, 2871, 2884, 2897, 2910, 2923, 2936, 2949, 2962, 2975, 2988, 3001, 3015, 3028, 3041, 3055, 3068, 3081, 3095, 3108, 3122, 3135, 3149, 3162, 3176, 3190, 3203, 3217, 3231, 3245, 3259, 3273, 3286, 3300, 3314, 3328, 3343, 3357, 3371, 3385, 3399, 3414, 3428, 3442, 3457, 3471, 3485, 3500, 3514, 3529, 3544, 3558, 3573, 3588, 3602, 3617, 3632, 3647, 3662, 3677, 3692, 3707, 3722, 3737, 3752, 3767, 3782, 3798, 3813, 3828, 3844, 3859, 3874, 3890, 3905, 3921, 3936, 3952, 3968, 3983, 3999, 4015, 4031, 4047, 4063, 4079
	},
	{
		// ChebyShev 5th
		0, 24, 49, 74, 99, 123, 148, 172, 196, 221, 245, 269, 292, 316, 340, 364, 387, 410, 434, 457, 480, 503, 526, 549, 572, 594, 617, 639, 662, 684, 706, 728, 750, 772, 794, 816, 838, 859, 881, 902, 923, 944, 966, 987, 1008, 1028, 1049, 1070, 1090, 1111, 1131, 1152, 1172, 1192, 1212, 1232, 1252, 1272, 1291, 1311, 1330, 1350, 1369, 1389, 1408, 1427, 1446, 1465, 1484, 1502, 1521, 1540, 1558, 1577, 1595, 1613, 1631, 1650, 1668, 1685, 1703, 1721, 1739, 1756, 1774, 1791, 1809, 1826, 1843, 1860, 1877, 1894, 1911, 1928, 1945, 1961, 1978, 1994, 2011, 2027, 2043, 2059, 2075, 2091, 2107, 2123, 2139, 2155, 2170, 2186, 2201, 2217, 2232, 2247, 2262, 2277, 2292, 2307, 2322, 2337, 2352, 2366, 2381, 2395, 2410, 2424, 2438, 2452, 2466, 2480, 2494, 2508, 2522, 2536, 2549, 2563, 2577, 2590, 2603, 2617, 2630, 2643, 2656, 2669, 2682, 2695, 2708, 2720, 2733, 2746, 2758, 2771, 2783, 2795, 2808, 2820, 2832, 2844, 2856, 2868, 2880, 2891, 2903, 2915, 2926, 2938, 2949, 2960, 2972, 2983, 2994, 3005, 3016, 3027, 3038, 3049, 3059, 3070, 3081, 3091, 3102, 3112, 3123, 3133, 3143, 3153, 3163, 3173, 3183, 3193, 3203, 3213, 3223, 3232, 3242, 3251, 3261, 3270, 3280, 3289, 3298, 3307, 3316, 3325, 3334, 3343, 3352, 3361, 3369, 3378, 3387, 3395, 3404, 3412, 3421, 3429, 3437, 3445, 3453, 3461, 3469, 3477, 3485, 3493, 3501, 3509, 3516, 3524, 3531, 3539, 3546, 3554, 3561, 3568, 3575, 3583, 3590, 3597, 3604, 3611, 3617, 3624, 3631, 3638, 3644, 3651, 3657, 3664, 3670, 3677, 3683, 3689, 3695, 3701, 3708, 3714, 3720, 3726, 3731, 3737, 3743, 3749, 3754, 3760, 3766, 3771, 3777, 3782, 3787, 3793, 3798, 3803, 3808, 3813, 3818, 3823, 3828, 3833, 3838, 3843, 3847, 3852, 3857, 3861, 3866, 3870, 3875, 3879, 3884, 3888, 3892, 3896, 3901, 3905, 3909, 3913, 3917, 3921, 3924, 3928, 3932, 3936, 3939, 3943, 3947, 3950, 3954, 3957, 3960, 3964, 3967, 3970, 3974, 3977, 3980, 3983, 3986, 3989, 3992, 3995, 3998, 4000, 4003, 4006, 4009, 4011, 4014, 4016, 4019, 4021, 4024, 4026, 4028, 4031, 4033, 4035, 4037, 4039, 4042, 4044, 4046, 4048, 4049, 4051, 4053, 4055, 4057, 4058, 4060, 4062, 4063, 4065, 4066, 4068, 4069, 4070, 4072, 4073, 4074, 4076, 4077, 4078, 4079, 4080, 4081, 4082, 4083, 4084, 4085, 4086, 4086, 4087, 4088, 4089, 4089, 4090, 4090, 4091, 4091, 4092, 4092, 4093, 4093, 4093, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4093, 4093, 4093, 4092, 4092, 4092, 4091, 4091, 4090, 4090, 4089, 4088, 4088, 4087, 4086, 4086, 4085, 4084, 4083, 4082, 4081, 4080, 4079, 4078, 4077, 4076, 4075, 4074, 4073, 4071, 4070, 4069, 4068, 4066, 4065, 4064, 4062, 4061, 4059, 4058, 4056, 4055, 4053, 4051, 4050, 4048, 4046, 4045, 4043, 4041, 4039, 4037, 4035, 4034, 4032, 4030, 4028, 4026, 4024, 4021, 4019, 4017, 4015, 4013, 4011, 4008, 4006, 4004, 4001, 3999, 3997, 3994, 3992, 3989, 3987, 3984, 3982, 3979, 3977, 3974, 3971, 3969, 3966, 3963, 3961, 3958, 3955, 3952, 3949, 3946, 3944, 3941, 3938, 3935, 3932, 3929, 3926, 3923, 3920, 3916, 3913, 3910, 3907, 3904, 3901, 3897, 3894, 3891, 3887, 3884, 3881, 3877, 3874, 3871, 3867, 3864, 3860, 3857, 3853, 3850, 3846, 3842, 3839, 3835, 3831, 3828, 3824, 3820, 3817, 3813, 3809, 3805, 3801, 3798, 3794, 3790, 3786, 3782, 3778, 3774, 3770, 3766, 3762, 3758, 3754, 3750, 3746, 3742, 3738, 3733, 3729, 3725, 3721, 3717, 3712, 3708, 3704, 3699, 3695, 3691, 3686, 3682, 3678, 3673, 3669, 3664, 3660, 3656, 3651, 3647, 3642, 3637, 3633, 3628, 3624, 3619, 3615, 3610, 3605, 3601, 3596, 3591, 3586, 3582, 3577, 3572, 3567, 3563, 3558, 3553, 3548, 3543, 3538, 3534, 3529, 3524, 3519, 3514, 3509, 3504, 3499, 3494, 3489, 3484, 3479, 3474, 3469, 3464, 3459, 3454, 3448, 3443, 3438, 3433, 3428, 3423, 3418, 3412, 3407, 3402, 3397, 3391, 3386, 3381, 3376, 3370, 3365, 3360, 3354, 3349, 3344, 3338, 3333, 3327, 3322, 3317, 3311, 3306, 3300, 3295, 3289, 3284, 3278, 3273, 3267, 3262, 3256, 3251, 3245, 3240, 3234, 3228, 3223, 3217, 3212, 3206, 3200, 3195, 3189, 3183, 3178, 3172, 3166, 3161, 3155, 3149, 3144, 3138, 3132, 3126, 3121, 3115, 3109, 3103, 3098, 3092, 3086, 3080, 3074, 3069, 3063, 3057, 3051, 3045, 3039, 3033, 3028, 3022, 3016, 3010, 3004, 2998, 2992, 2986, 2980, 2974, 2968, 2962, 2957, 2951, 2945, 2939, 2933, 2927, 2921, 2915, 2909, 2903, 2897, 2891, 2885, 2879, 2873, 2866, 2860, 2854, 2848, 2842, 2836, 2830, 2824, 2818, 2812, 2806, 2800, 2794, 2787, 2781, 2775, 2769, 2763, 2757, 2751, 2745, 2739, 2732, 2726, 2720, 2714, 2708, 2702, 2695, 2689, 2683, 2677, 2671, 2665, 2658, 2652, 2646, 2640, 2634, 2628, 2621, 2615, 2609, 2603, 2597, 2590, 2584, 2578, 2572, 2565, 2559, 2553, 2547, 2541, 2534, 2528, 2522, 2516, 2509, 2503, 2497, 2491, 2484, 2478, 2472, 2466, 2460, 2453, 2447, 2441, 2435, 2428, 2422, 2416, 2410, 2403, 2397, 2391, 2385, 2378, 2372, 2366, 2360, 2353, 2347, 2341, 2335, 2328, 2322, 2316, 2310, 2303, 2297, 2291, 2285, 2278, 2272, 2266, 2260, 2253, 2247, 2241, 2235, 2228, 2222, 2216, 2210, 2204, 2197, 2191, 2185, 2179, 2172, 2166, 2160, 2154, 2148, 2141, 2135, 2129, 2123, 2116, 2110, 2104, 2098, 2092, 2085, 2079, 2073, 2067, 2061, 2055, 2048, 2042, 2036, 2030, 2024, 2017, 2011, 2005, 1999, 1993, 1987, 1981, 1974, 1968, 1962, 1956, 1950, 1944, 1938, 1931, 1925, 1919, 1913, 1907, 1901, 1895, 1889, 1883, 1877, 1870, 1864, 1858, 1852, 1846, 1840, 1834, 1828, 1822, 1816, 1810, 1804, 1798, 1792, 1786, 1780, 1774, 1768, 1762, 1756, 1750, 1744, 1738, 1732, 1726, 1720, 1714, 1708, 1702, 1696, 1690, 1684, 1678, 1672, 1666, 1660, 1655, 1649, 1643, 1637, 1631, 1625, 1619, 1613, 1608, 1602, 1596, 1590, 1584, 1578, 1573, 1567, 1561, 1555, 1549, 1544, 1538, 1532, 1526, 1520, 1515, 1509, 1503, 1497, 1492, 1486, 1480, 1475, 1469, 1463, 1457, 1452, 1446, 1440, 1435, 1429, 1423, 1418, 1412, 1407, 1401, 1395, 1390, 1384, 1379, 1373, 1367, 1362, 1356, 1351, 1345, 1340, 1334, 1329, 1323, 1318, 1312, 1307, 1301, 1296, 1290, 1285, 1279, 1274, 1268, 1263, 1258, 1252, 1247, 1241, 1236, 1231, 1225, 1220, 1215, 1209, 1204, 1199, 1193, 1188, 1183, 1177, 1172, 1167, 1162, 1156, 1151, 1146, 1141, 1136, 1130, 1125, 1120, 1115, 1110, 1104, 1099, 1094, 1089, 1084, 1079, 1074, 1069, 1064, 1058, 1053, 1048, 1043, 1038, 1033, 1028, 1023, 1018, 1013, 1008, 1003, 998, 993, 988, 984, 979, 974, 969, 964, 959, 954, 949, 945, 940, 935, 930, 925, 920, 916, 911, 906, 901, 897, 892, 887, 883, 878, 873, 868, 864, 859, 854, 850, 845, 841, 836, 831, 827, 822, 818, 813, 809, 804, 800, 795, 791, 786, 782, 777, 773, 768, 764, 759, 755, 751, 746, 742, 738, 733, 729, 724, 720, 716, 712, 707, 703, 699, 695, 690, 686, 682, 678, 673, 669, 665, 661, 657, 653, 649, 644, 640, 636, 632, 628, 624, 620, 616, 612, 608, 604, 600, 596, 592, 588, 584, 580, 576, 573, 569, 565, 561, 557, 553, 550, 546, 542, 538, 534, 531, 527, 523, 519, 516, 512, 508, 505, 501, 497, 494, 490, 486, 483, 479, 476, 472, 469, 465, 462, 458, 455, 451, 448, 444, 441, 437, 434, 430, 427, 424, 420, 417, 414, 410, 407, 404, 400, 397, 394, 391, 387, 384, 381, 378, 374, 371, 368, 365, 362, 359, 356, 353, 349, 346, 343, 340, 337, 334, 331, 328, 325, 322, 319, 316, 313, 311, 308, 305, 302, 299, 296, 293, 290, 288, 285, 282, 279, 277, 274, 271, 268, 266, 263, 260, 258, 255, 252, 250, 247, 245, 242, 239, 237, 234, 232, 229, 227, 224, 222, 219, 217, 214, 212, 210, 207, 205, 202, 200, 198, 195, 193, 191, 189, 186, 184, 182, 180, 177, 175, 173, 171, 169, 166, 164, 162, 160, 158, 156, 154, 152, 150, 148, 146, 144, 142, 140, 138, 136, 134, 132, 130, 128, 126, 124, 123, 121, 119, 117, 115, 114, 112, 110, 108, 107, 105, 103, 102, 100, 98, 97, 95, 93, 92, 90, 89, 87, 85, 84, 82, 81, 79, 78, 76, 75, 74, 72, 71, 69, 68, 67, 65, 64, 63, 61, 60, 59, 57, 56, 55, 54, 52, 51, 50, 49, 48, 47, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 27, 26, 25, 24, 23, 22, 22, 21, 20, 19, 19, 18, 17, 17, 16, 15, 15, 14, 13, 13, 12, 12, 11, 10, 10, 9, 9, 8, 8, 7, 7, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 14, 14, 15, 15, 16, 17, 17, 18, 19, 20, 20, 21, 22, 23, 23, 24, 25, 26, 27, 28, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 67, 68, 69, 71, 72, 73, 75, 76, 78, 79, 80, 82, 83, 85, 86, 88, 89, 91, 92, 94, 95, 97, 99, 100, 102, 103, 105, 107, 108, 110, 112, 113, 115, 117, 119, 120, 122, 124, 126, 127, 129, 131, 133, 135, 136, 138, 140, 142, 144, 146, 148, 150, 152, 154, 156, 158, 160, 162, 164, 166, 168, 170, 172, 174, 176, 178, 180, 182, 184, 186, 189, 191, 193, 195, 197, 199, 202, 204, 206, 208, 211, 213, 215, 217, 220, 222, 224, 227, 229, 231, 234, 236, 239, 241, 243, 246, 248, 251, 253, 256, 258, 261, 263, 266, 268, 271, 273, 276, 278, 281, 284, 286, 289, 291, 294, 297, 299, 302, 305, 307, 310, 313, 316, 318, 321, 324, 327, 329, 332, 335, 338, 340, 343, 346, 349, 352, 355, 358, 360, 363, 366, 369, 372, 375, 378, 381, 384, 387, 390, 393, 396, 399, 402, 405, 408, 411, 414, 417, 420, 423, 426, 429, 433, 436, 439, 442, 445, 448, 452, 455, 458, 461, 464, 468, 471, 474, 477, 481, 484, 487, 490, 494, 497, 500, 504, 507, 510, 514, 517, 520, 524, 527, 531, 534, 537, 541, 544, 548, 551, 555, 558, 562, 565, 569, 572, 576, 579, 583, 586, 590, 593, 597, 601, 604, 608, 611, 615, 619, 622, 626, 629, 633, 637, 640, 644, 648, 652, 655, 659, 663, 666, 670, 674, 678, 681, 685, 689, 693, 697, 700, 704, 708, 712, 716, 719, 723, 727, 731, 735, 739, 743, 747, 750, 754, 758, 762, 766, 770, 774, 778, 782, 786, 790, 794, 798, 802, 806, 810, 814, 818, 822, 826, 830, 834, 838, 842, 846, 850, 854, 859, 863, 867, 871, 875, 879, 883, 887, 892, 896, 900, 904, 908, 912, 917, 921, 925, 929, 934, 938, 942, 946, 950, 955, 959, 963, 967, 972, 976, 980, 985, 989, 993, 998, 1002, 1006, 1011, 1015, 1019, 1024, 1028, 1032, 1037, 1041, 1045, 1050, 1054, 1059, 1063, 1067, 1072, 1076, 1081, 1085, 1090, 1094, 1098, 1103, 1107, 1112, 1116, 1121, 1125, 1130, 1134, 1139, 1143, 1148, 1152, 1157, 1161, 1166, 1170, 1175, 1179, 1184, 1188, 1193, 1198, 1202, 1207, 1211, 1216, 1220, 1225, 1230, 1234, 1239, 1244, 1248, 1253, 1257, 1262, 1267, 1271, 1276, 1281, 1285, 1290, 1295, 1299, 1304, 1309, 1313, 1318, 1323, 1327, 1332, 1337, 1341, 1346, 1351, 1355, 1360, 1365, 1370, 1374, 1379, 1384, 1389, 1393, 1398, 1403, 1408, 1412, 1417, 1422, 1427, 1431, 1436, 1441, 1446, 1451, 1455, 1460, 1465, 1470, 1475, 1479, 1484, 1489, 1494, 1499, 1503, 1508, 1513, 1518, 1523, 1528, 1532, 1537, 1542, 1547, 1552, 1557, 1562, 1566, 1571, 1576, 1581, 1586, 1591, 1596, 1601, 1605, 1610, 1615, 1620, 1625, 1630, 1635, 1640, 1645, 1650, 1654, 1659, 1664, 1669, 1674, 1679, 1684, 1689, 1694, 1699, 1704, 1709, 1714, 1718, 1723, 1728, 1733, 1738, 1743, 1748, 1753, 1758, 1763, 1768, 1773, 1778, 1783, 1788, 1793, 1798, 1803, 1808, 1813, 1818, 1822, 1827, 1832, 1837, 1842, 1847, 1852, 1857, 1862, 1867, 1872, 1877, 1882, 1887, 1892, 1897, 1902, 1907, 1912, 1917, 1922, 1927, 1932, 1937, 1942, 1947, 1952, 1957, 1962, 1967, 1972, 1977, 1982, 1987, 1992, 1997, 2002, 2007, 2012, 2017, 2022, 2027, 2032, 2037, 2042, 2047, 2052, 2057, 2062, 2067, 2072, 2077, 2082, 2087, 2092, 2097, 2102, 2107, 2112, 2117, 2122, 2127, 2132, 2137, 2142, 2147, 2152, 2157, 2162, 2167, 2172, 2177, 2182, 2187, 2192, 2197, 2202, 2207, 2212, 2217, 2222, 2227, 2232, 2237, 2242, 2247, 2252, 2257, 2262, 2267, 2272, 2276, 2281, 2286, 2291, 2296, 2301, 2306, 2311, 2316, 2321, 2326, 2331, 2336, 2341, 2346, 2351, 2356, 2361, 2366, 2371, 2376, 2380, 2385, 2390, 2395, 2400, 2405, 2410, 2415, 2420, 2425, 2430, 2435, 2440, 2444, 2449, 2454, 2459, 2464, 2469, 2474, 2479, 2484, 2489, 2493, 2498, 2503, 2508, 2513, 2518, 2523, 2528, 2532, 2537, 2542, 2547, 2552, 2557, 2562, 2566, 2571, 2576, 2581, 2586, 2591, 2595, 2600, 2605, 2610, 2615, 2619, 2624, 2629, 2634, 2639, 2643, 2648, 2653, 2658, 2663, 2667, 2672, 2677, 2682, 2686, 2691, 2696, 2701, 2705, 2710, 2715, 2720, 2724, 2729, 2734, 2739, 2743, 2748, 2753, 2757, 2762, 2767, 2771, 2776, 2781, 2785, 2790, 2795, 2799, 2804, 2809, 2813, 2818, 2823, 2827, 2832, 2837, 2841, 2846, 2850, 2855, 2860, 2864, 2869, 2874, 2878, 2883, 2887, 2892, 2896, 2901, 2906, 2910, 2915, 2919, 2924, 2928, 2933, 2937, 2942, 2946, 2951, 2955, 2960, 2964, 2969, 2973, 2978, 2982, 2987, 2991, 2996, 3000, 3004, 3009, 3013, 3018, 3022, 3027, 3031, 3035, 3040, 3044, 3049, 3053, 3057, 3062, 3066, 3070, 3075, 3079, 3083, 3088, 3092, 3096, 3101, 3105, 3109, 3114, 3118, 3122, 3127, 3131, 3135, 3139, 3144, 3148, 3152, 3156, 3160, 3165, 3169, 3173, 3177, 3182, 3186, 3190, 3194, 3198, 3202, 3207, 3211, 3215, 3219, 3223, 3227, 3231, 3235, 3240, 3244, 3248, 3252, 3256, 3260, 3264, 3268, 3272, 3276, 3280, 3284, 3288, 3292, 3296, 3300, 3304, 3308, 3312, 3316, 3320, 3324, 3328, 3332, 3336, 3340, 3344, 3347, 3351, 3355, 3359, 3363, 3367, 3371, 3375, 3378, 3382, 3386, 3390, 3394, 3397, 3401, 3405, 3409, 3413, 3416, 3420, 3424, 3428, 3431, 3435, 3439, 3442, 3446, 3450, 3454, 3457, 3461, 3465, 3468, 3472, 3475, 3479, 3483, 3486, 3490, 3493, 3497, 3501, 3504, 3508, 3511, 3515, 3518, 3522, 3525, 3529, 3532, 3536, 3539, 3543, 3546, 3550, 3553, 3557, 3560, 3563, 3567, 3570, 3574, 3577, 3580, 3584, 3587, 3590, 3594, 3597, 3600, 3604, 3607, 3610, 3613, 3617, 3620, 3623, 3626, 3630, 3633, 3636, 3639, 3642, 3646, 3649, 3652, 3655, 3658, 3661, 3665, 3668, 3671, 3674, 3677, 3680, 3683, 3686, 3689, 3692, 3695, 3698, 3701, 3704, 3707, 3710, 3713, 3716, 3719, 3722, 3725, 3728, 3731, 3734, 3736, 3739, 3742, 3745, 3748, 3751, 3754, 3756, 3759, 3762, 3765, 3767, 3770, 3773, 3776, 3778, 3781, 3784, 3787, 3789, 3792, 3795, 3797, 3800, 3803, 3805, 3808, 3810, 3813, 3816, 3818, 3821, 3823, 3826, 3828, 3831, 3833, 3836, 3838, 3841, 3843, 3846, 3848, 3851, 3853, 3855, 3858, 3860, 3863, 3865, 3867, 3870, 3872, 3874, 3877, 3879, 3881, 3883, 3886, 3888, 3890, 3892, 3895, 3897, 3899, 3901, 3903, 3905, 3908, 3910, 3912, 3914, 3916, 3918, 3920, 3922, 3924, 3926, 3928, 3930, 3932, 3934, 3936, 3938, 3940, 3942, 3944, 3946, 3948, 3950, 3952, 3954, 3956, 3958, 3959, 3961, 3963, 3965, 3967, 3968, 3970, 3972, 3974, 3975, 3977, 3979, 3981, 3982, 3984, 3986, 3987, 3989, 3991, 3992, 3994, 3995, 3997, 3999, 4000, 4002, 4003, 4005, 4006, 4008, 4009, 4011, 4012, 4014, 4015, 4016, 4018, 4019, 4021, 4022, 4023, 4025, 4026, 4027, 4029, 4030, 4031, 4032, 4034, 4035, 4036, 4037, 4039, 4040, 4041, 4042, 4043, 4044, 4046, 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055, 4056, 4057, 4058, 4059, 4060, 4061, 4062, 4063, 4064, 4065, 4066, 4066, 4067, 4068, 4069, 4070, 4071, 4071, 4072, 4073, 4074, 4074, 4075, 4076, 4077, 4077, 4078, 4079, 4079, 4080, 4080, 4081, 4082, 4082, 4083, 4083, 4084, 4084, 4085, 4085, 4086, 4086, 4087, 4087, 4088, 4088, 4089, 4089, 4089, 4090, 4090, 4090, 4091, 4091, 4091, 4092, 4092, 4092, 4092, 4093, 4093, 4093, 4093, 4093, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4093, 4093, 4093, 4093, 4093, 4092, 4092, 4092, 4091, 4091, 4091, 4091, 4090, 4090, 4090, 4089, 4089, 4088, 4088, 4087, 4087, 4087, 4086, 4086, 4085, 4085, 4084, 4084, 4083, 4082, 4082, 4081, 4081, 4080, 4079, 4079, 4078, 4077, 4077, 4076, 4075, 4075, 4074, 4073, 4072, 4072, 4071, 4070, 4069, 4068, 4067, 4067, 4066, 4065, 4064, 4063, 4062, 4061, 4060, 4059, 4058, 4057, 4056, 4055, 4054, 4053, 4052, 4051, 4050, 4049, 4047, 4046, 4045, 4044, 4043, 4042, 4040, 4039, 4038, 4037, 4035, 4034, 4033, 4031, 4030, 4029, 4027, 4026, 4025, 4023, 4022, 4020, 4019, 4018, 4016, 4015, 4013, 4012, 4010, 4009, 4007, 4005, 4004, 4002, 4001, 3999, 3997, 3996, 3994, 3992, 3991, 3989, 3987, 3986, 3984, 3982, 3980, 3979, 3977, 3975, 3973, 3971, 3970, 3968, 3966, 3964, 3962, 3960, 3958, 3956, 3954, 3952, 3950, 3948, 3946, 3944, 3942, 3940, 3938, 3936, 3934, 3932, 3930, 3928, 3925, 3923, 3921, 3919, 3917, 3914, 3912, 3910, 3908, 3905, 3903, 3901, 3899, 3896, 3894, 3892, 3889, 3887, 3884, 3882, 3880, 3877, 3875, 3872, 3870, 3867, 3865, 3862, 3860, 3857, 3855, 3852, 3849, 3847, 3844, 3842, 3839, 3836, 3834, 3831, 3828, 3826, 3823, 3820, 3817, 3815, 3812, 3809, 3806, 3804, 3801, 3798, 3795, 3792, 3789, 3786, 3783, 3781, 3778, 3775, 3772, 3769, 3766, 3763, 3760, 3757, 3754, 3751, 3748, 3745, 3741, 3738, 3735, 3732, 3729, 3726, 3723, 3720, 3716, 3713, 3710, 3707, 3703, 3700, 3697, 3694, 3690, 3687, 3684, 3680, 3677, 3674, 3670, 3667, 3664, 3660, 3657, 3653, 3650, 3646, 3643, 3639, 3636, 3632, 3629, 3625, 3622, 3618, 3615, 3611, 3608, 3604, 3600, 3597, 3593, 3589, 3586, 3582, 3578, 3575, 3571, 3567, 3563, 3560, 3556, 3552, 3548, 3544, 3541, 3537, 3533, 3529, 3525, 3521, 3518, 3514, 3510, 3506, 3502, 3498, 3494, 3490, 3486, 3482, 3478, 3474, 3470, 3466, 3462, 3458, 3454, 3450, 3445, 3441, 3437, 3433, 3429, 3425, 3421, 3416, 3412, 3408, 3404, 3399, 3395, 3391, 3387, 3382, 3378, 3374, 3370, 3365, 3361, 3356, 3352, 3348, 3343, 3339, 3335, 3330, 3326, 3321, 3317, 3312, 3308, 3303, 3299, 3294, 3290, 3285, 3281, 3276, 3272, 3267, 3263, 3258, 3253, 3249, 3244, 3240, 3235, 3230, 3226, 3221, 3216, 3211, 3207, 3202, 3197, 3193, 3188, 3183, 3178, 3174, 3169, 3164, 3159, 3154, 3149, 3145, 3140, 3135, 3130, 3125, 3120, 3115, 3110, 3106, 3101, 3096, 3091, 3086, 3081, 3076, 3071, 3066, 3061, 3056, 3051, 3046, 3041, 3036, 3030, 3025, 3020, 3015, 3010, 3005, 3000, 2995, 2990, 2984, 2979, 2974, 2969, 2964, 2958, 2953, 2948, 2943, 2938, 2932, 2927, 2922, 2917, 2911, 2906, 2901, 2895, 2890, 2885, 2879, 2874, 2869, 2863, 2858, 2853, 2847, 2842, 2836, 2831, 2826, 2820, 2815, 2809, 2804, 2798, 2793, 2787, 2782, 2776, 2771, 2765, 2760, 2754, 2749, 2743, 2738, 2732, 2727, 2721, 2715, 2710, 2704, 2699, 2693, 2687, 2682, 2676, 2671, 2665, 2659, 2654, 2648, 2642, 2637, 2631, 2625, 2619, 2614, 2608, 2602, 2597, 2591, 2585, 2579, 2574, 2568, 2562, 2556, 2550, 2545, 2539, 2533, 2527, 2521, 2516, 2510, 2504, 2498, 2492, 2486, 2481, 2475, 2469, 2463, 2457, 2451, 2445, 2439, 2434, 2428, 2422, 2416, 2410, 2404, 2398, 2392, 2386, 2380, 2374, 2368, 2362, 2356, 2350, 2344, 2338, 2332, 2326, 2320, 2314, 2308, 2302, 2296, 2290, 2284, 2278, 2272, 2266, 2260, 2254, 2248, 2242, 2236, 2230, 2224, 2217, 2211, 2205, 2199, 2193, 2187, 2181, 2175, 2169, 2163, 2156, 2150, 2144, 2138, 2132, 2126, 2120, 2113, 2107, 2101, 2095, 2089, 2083, 2077, 2070, 2064, 2058, 2052, 2046, 2039, 2033, 2027, 2021, 2015, 2009, 2002, 1996, 1990, 1984, 1978, 1971, 1965, 1959, 1953, 1946, 1940, 1934, 1928, 1922, 1915, 1909, 1903, 1897, 1890, 1884, 1878, 1872, 1866, 1859, 1853, 1847, 1841, 1834, 1828, 1822, 1816, 1809, 1803, 1797, 1791, 1784, 1778, 1772, 1766, 1759, 1753, 1747, 1741, 1734, 1728, 1722, 1716, 1709, 1703, 1697, 1691, 1684, 1678, 1672, 1666, 1659, 1653, 1647, 1641, 1634, 1628, 1622, 1616, 1610, 1603, 1597, 1591, 1585, 1578, 1572, 1566, 1560, 1553, 1547, 1541, 1535, 1529, 1522, 1516, 1510, 1504, 1497, 1491, 1485, 1479, 1473, 1466, 1460, 1454, 1448, 1442, 1436, 1429, 1423, 1417, 1411, 1405, 1399, 1392, 1386, 1380, 1374, 1368, 1362, 1355, 1349, 1343, 1337, 1331, 1325, 1319, 1313, 1307, 1300, 1294, 1288, 1282, 1276, 1270, 1264, 1258, 1252, 1246, 1240, 1234, 1228, 1221, 1215, 1209, 1203, 1197, 1191, 1185, 1179, 1173, 1167, 1161, 1155, 1149, 1143, 1137, 1132, 1126, 1120, 1114, 1108, 1102, 1096, 1090, 1084, 1078, 1072, 1066, 1061, 1055, 1049, 1043, 1037, 1031, 1025, 1020, 1014, 1008, 1002, 996, 991, 985, 979, 973, 968, 962, 956, 950, 945, 939, 933, 928, 922, 916, 911, 905, 899, 894, 888, 882, 877, 871, 866, 860, 854, 849, 843, 838, 832, 827, 821, 816, 810, 805, 799, 794, 788, 783, 777, 772, 767, 761, 756, 750, 745, 740, 734, 729, 724, 718, 713, 708, 703, 697, 692, 687, 682, 676, 671, 666, 661, 656, 651, 646, 640, 635, 630, 625, 620, 615, 610, 605, 600, 595, 590, 585, 580, 575, 570, 565, 560, 556, 551, 546, 541, 536, 531, 527, 522, 517, 512, 508, 503, 498, 493, 489, 484, 479, 475, 470, 466, 461, 457, 452, 447, 443, 438, 434, 430, 425, 421, 416, 412, 408, 403, 399, 395, 390, 386, 382, 377, 373, 369, 365, 361, 356, 352, 348, 344, 340, 336, 332, 328, 324, 320, 316, 312, 308, 304, 300, 296, 293, 289, 285, 281, 277, 274, 270, 266, 263, 259, 255, 252, 248, 244, 241, 237, 234, 230, 227, 223, 220, 217, 213, 210, 207, 203, 200, 197, 193, 190, 187, 184, 181, 178, 174, 171, 168, 165, 162, 159, 156, 153, 150, 148, 145, 142, 139, 136, 133, 131, 128, 125, 123, 120, 117, 115, 112, 110, 107, 105, 102, 100, 97, 95, 93, 90, 88, 86, 83, 81, 79, 77, 75, 73, 70, 68, 66, 64, 62, 60, 59, 57, 55, 53, 51, 49, 48, 46, 44, 43, 41, 39, 38, 36, 35, 33, 32, 30, 29, 28, 26, 25, 24, 23, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 8, 7, 6, 6, 5, 4, 4, 3, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 24, 25, 26, 28, 29, 31, 32, 34, 36, 37, 39, 41, 43, 45, 46, 48, 50, 52, 55, 57, 59, 61, 63, 66, 68, 70, 73, 75, 78, 80, 83, 85, 88, 91, 94, 96, 99, 102, 105, 108, 111, 114, 117, 120, 124, 127, 130, 134, 137, 140, 144, 147, 151, 155, 158, 162, 166, 170, 173, 177, 181, 185, 189, 193, 198, 202, 206, 210, 215, 219, 224, 228, 233, 237, 242, 247, 251, 256, 261, 266, 271, 276, 281, 286, 291, 296, 301, 307, 312, 317, 323, 328, 334, 340, 345, 351, 357, 363, 368, 374, 380, 386, 393, 399, 405, 411, 417, 424, 430, 437, 443, 450, 456, 463, 470, 477, 483, 490, 497, 504, 511, 519, 526, 533, 540, 548, 555, 563, 570, 578, 585, 593, 601, 609, 617, 625, 633, 641, 649, 657, 665, 673, 682, 690, 699, 707, 716, 725, 733, 742, 751, 760, 769, 778, 787, 796, 805, 814, 824, 833, 843, 852, 862, 871, 881, 891, 901, 911, 921, 931, 941, 951, 961, 971, 982, 992, 1003, 1013, 1024, 1035, 1045, 1056, 1067, 1078, 1089, 1100, 1111, 1122, 1134, 1145, 1156, 1168, 1179, 1191, 1203, 1214, 1226, 1238, 1250, 1262, 1274, 1286, 1299, 1311, 1323, 1336, 1348, 1361, 1374, 1386, 1399, 1412, 1425, 1438, 1451, 1464, 1477, 1491, 1504, 1517, 1531, 1545, 1558, 1572, 1586, 1600, 1614, 1628, 1642, 1656, 1670, 1684, 1699, 1713, 1728, 1742, 1757, 1772, 1787, 1802, 1817, 1832, 1847, 1862, 1877, 1893, 1908, 1924, 1939, 1955, 1971, 1987, 2003, 2019, 2035, 2051, 2067, 2083, 2100, 2116, 2133, 2149, 2166, 2183, 2200, 2217, 2234, 2251, 2268, 2285, 2303, 2320, 2338, 2355, 2373, 2391, 2409, 2426, 2444, 2463, 2481, 2499, 2517, 2536, 2554, 2573, 2592, 2610, 2629, 2648, 2667, 2686, 2705, 2725, 2744, 2764, 2783, 2803, 2822, 2842, 2862, 2882, 2902, 2922, 2942, 2963, 2983, 3004, 3024, 3045, 3066, 3086, 3107, 3128, 3150, 3171, 3192, 3213, 3235, 3256, 3278, 3300, 3322, 3344, 3366, 3388, 3410, 3432, 3455, 3477, 3500, 3522, 3545, 3568, 3591, 3614, 3637, 3660, 3684, 3707, 3730, 3754, 3778, 3802, 3825, 3849, 3873, 3898, 3922, 3946, 3971, 3995, 4020, 4045, 4070
	},
	{
		// ChebyShev 6th
		4095, 4059, 4023, 3987, 3952, 3917, 3882, 3848, 3813, 3779, 3745, 3711, 3677, 3644, 3610, 3577, 3544, 3512, 3479, 3447, 3415, 3383, 3351, 3320, 3288, 3257, 3226, 3195, 3165, 3134, 3104, 3074, 3044, 3015, 2985, 2956, 2927, 2898, 2869, 2841, 2812, 2784, 2756, 2728, 2700, 2673, 2646, 2619, 2592, 2565, 2538, 2512, 2486, 2459, 2434, 2408, 2382, 2357, 2332, 2307, 2282, 2257, 2232, 2208, 2184, 2160, 2136, 2112, 2089, 2065, 2042, 2019, 1996, 1973, 1951, 1928, 1906, 1884, 1862, 1840, 1819, 1797, 1776, 1755, 1734, 1713, 1692, 1672, 1651, 1631, 1611, 1591, 1571, 1552, 1532, 1513, 1494, 1475, 1456, 1437, 1419, 1400, 1382, 1364, 1346, 1328, 1310, 1293, 1275, 1258, 1241, 1224, 1207, 1190, 1174, 1157, 1141, 1125, 1109, 1093, 1077, 1062, 1046, 1031, 1016, 1001, 986, 971, 956, 942, 927, 913, 899, 885, 871, 857, 844, 830, 817, 804, 791, 778, 765, 752, 740, 727, 715, 703, 690, 678, 667, 655, 643, 632, 620, 609, 598, 587, 576, 565, 555, 544, 534, 523, 513, 503, 493, 483, 474, 464, 454, 445, 436, 427, 418, 409, 400, 391, 382, 374, 366, 357, 349, 341, 333, 325, 317, 310, 302, 295, 287, 280, 273, 266, 259, 252, 245, 239, 232, 226, 220, 213, 207, 201, 195, 189, 184, 178, 172, 167, 162, 156, 151, 146, 141, 136, 132, 127, 122, 118, 113, 109, 105, 101, 97, 93, 89, 85, 81, 78, 74, 71, 67, 64, 61, 58, 55, 52, 49, 46, 44, 41, 38, 36, 34, 31, 29, 27, 25, 23, 21, 19, 18, 16, 15, 13, 12, 10, 9, 8, 7, 6, 5, 4, 3, 3, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 17, 18, 20, 22, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 44, 46, 49, 51, 54, 56, 59, 62, 64, 67, 70, 73, 76, 79, 82, 85, 88, 92, 95, 98, 102, 105, 109, 112, 116, 120, 123, 127, 131, 135, 139, 143, 147, 151, 155, 159, 163, 167, 172, 176, 180, 185, 189, 194, 198, 203, 208, 212, 217, 222, 227, 231, 236, 241, 246, 251, 256, 261, 267, 272, 277, 282, 288, 293, 298, 304, 309, 315, 320, 326, 332, 337, 343, 349, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414, 420, 426, 433, 439, 445, 451, 458, 464, 470, 477, 483, 490, 496, 503, 510, 516, 523, 529, 536, 543, 550, 556, 563, 570, 577, 584, 591, 598, 605, 612, 619, 626, 633, 640, 647, 654, 661, 669, 676, 683, 690, 698, 705, 712, 720, 727, 734, 742, 749, 757, 764, 772, 779, 787, 795, 802, 810, 817, 825, 833, 840, 848, 856, 864, 871, 879, 887, 895, 903, 910, 918, 926, 934, 942, 950, 958, 966, 974, 982, 990, 998, 1006, 1014, 1022, 1030, 1038, 1046, 1055, 1063, 1071, 1079, 1087, 1095, 1104, 1112, 1120, 1128, 1137, 1145, 1153, 1161, 1170, 1178, 1186, 1195, 1203, 1211, 1220, 1228, 1236, 1245, 1253, 1262, 1270, 1278, 1287, 1295, 1304, 1312, 1321, 1329, 1337, 1346, 1354, 1363, 1371, 1380, 1388, 1397, 1405, 1414, 1422, 1431, 1440, 1448, 1457, 1465, 1474, 1482, 1491, 1499, 1508, 1517, 1525, 1534, 1542, 1551, 1560, 1568, 1577, 1585, 1594, 1602, 1611, 1620, 1628, 1637, 1646, 1654, 1663, 1671, 1680, 1689, 1697, 1706, 1714, 1723, 1732, 1740, 1749, 1757, 1766, 1775, 1783, 1792, 1800, 1809, 1818, 1826, 1835, 1843, 1852, 1861, 1869, 1878, 1886, 1895, 1903, 1912, 1920, 1929, 1938, 1946, 1955, 1963, 1972, 1980, 1989, 1997, 2006, 2014, 2023, 2031, 2040, 2048, 2057, 2065, 2074, 2082, 2091, 2099, 2108, 2116, 2124, 2133, 2141, 2150, 2158, 2166, 2175, 2183, 2192, 2200, 2208, 2217, 2225, 2233, 2242, 2250, 2258, 2266, 2275, 2283, 2291, 2300, 2308, 2316, 2324, 2332, 2341, 2349, 2357, 2365, 2373, 2382, 2390, 2398, 2406, 2414, 2422, 2430, 2438, 2446, 2454, 2463, 2471, 2479, 2487, 2495, 2503, 2511, 2518, 2526, 2534, 2542, 2550, 2558, 2566, 2574, 2582, 2590, 2597, 2605, 2613, 2621, 2629, 2636, 2644, 2652, 2660, 2667, 2675, 2683, 2690, 2698, 2706, 2713, 2721, 2728, 2736, 2744, 2751, 2759, 2766, 2774, 2781, 2789, 2796, 2803, 2811, 2818, 2826, 2833, 2840, 2848, 2855, 2862, 2870, 2877, 2884, 2891, 2899, 2906, 2913, 2920, 2927, 2935, 2942, 2949, 2956, 2963, 2970, 2977, 2984, 2991, 2998, 3005, 3012, 3019, 3026, 3033, 3040, 3046, 3053, 3060, 3067, 3074, 3080, 3087, 3094, 3101, 3107, 3114, 3121, 3127, 3134, 3140, 3147, 3154, 3160, 3167, 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3791, 3795, 3798, 3802, 3805, 3808, 3812, 3815, 3818, 3822, 3825, 3828, 3832, 3835, 3838, 3841, 3844, 3848, 3851, 3854, 3857, 3860, 3863, 3866, 3869, 3872, 3875, 3878, 3881, 3884, 3887, 3890, 3893, 3896, 3899, 3901, 3904, 3907, 3910, 3913, 3915, 3918, 3921, 3923, 3926, 3929, 3931, 3934, 3937, 3939, 3942, 3944, 3947, 3949, 3952, 3954, 3957, 3959, 3961, 3964, 3966, 3968, 3971, 3973, 3975, 3978, 3980, 3982, 3984, 3986, 3988, 3991, 3993, 3995, 3997, 3999, 4001, 4003, 4005, 4007, 4009, 4011, 4013, 4014, 4016, 4018, 4020, 4022, 4024, 4025, 4027, 4029, 4030, 4032, 4034, 4035, 4037, 4039, 4040, 4042, 4043, 4045, 4046, 4048, 4049, 4050, 4052, 4053, 4055, 4056, 4057, 4059, 4060, 4061, 4062, 4063, 4065, 4066, 4067, 4068, 4069, 4070, 4071, 4072, 4073, 4074, 4075, 4076, 4077, 4078, 4079, 4080, 4080, 4081, 4082, 4083, 4083, 4084, 4085, 4085, 4086, 4087, 4087, 4088, 4088, 4089, 4089, 4090, 4090, 4091, 4091, 4092, 4092, 4092, 4093, 4093, 4093, 4093, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4095, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4094, 4093, 4093, 4093, 4093, 4092, 4092, 4091, 4091, 4091, 4090, 4090, 4089, 4089, 4088, 4088, 4087, 4087, 4086, 4085, 4085, 4084, 4083, 4082, 4082, 4081, 4080, 4079, 4078, 4077, 4076, 4076, 4075, 4074, 4073, 4072, 4070, 4069, 4068, 4067, 4066, 4065, 4064, 4062, 4061, 4060, 4059, 4057, 4056, 4054, 4053, 4052, 4050, 4049, 4047, 4046, 4044, 4043, 4041, 4039, 4038, 4036, 4034, 4033, 4031, 4029, 4027, 4025, 4024, 4022, 4020, 4018, 4016, 4014, 4012, 4010, 4008, 4006, 4004, 4002, 4000, 3997, 3995, 3993, 3991, 3989, 3986, 3984, 3982, 3979, 3977, 3974, 3972, 3970, 3967, 3965, 3962, 3959, 3957, 3954, 3952, 3949, 3946, 3944, 3941, 3938, 3935, 3933, 3930, 3927, 3924, 3921, 3918, 3915, 3912, 3909, 3906, 3903, 3900, 3897, 3894, 3891, 3888, 3884, 3881, 3878, 3875, 3871, 3868, 3865, 3861, 3858, 3855, 3851, 3848, 3844, 3841, 3837, 3834, 3830, 3826, 3823, 3819, 3815, 3812, 3808, 3804, 3800, 3797, 3793, 3789, 3785, 3781, 3777, 3773, 3769, 3765, 3761, 3757, 3753, 3749, 3745, 3741, 3737, 3732, 3728, 3724, 3720, 3716, 3711, 3707, 3703, 3698, 3694, 3689, 3685, 3680, 3676, 3671, 3667, 3662, 3658, 3653, 3648, 3644, 3639, 3634, 3630, 3625, 3620, 3615, 3611, 3606, 3601, 3596, 3591, 3586, 3581, 3576, 3571, 3566, 3561, 3556, 3551, 3546, 3541, 3536, 3530, 3525, 3520, 3515, 3509, 3504, 3499, 3493, 3488, 3483, 3477, 3472, 3466, 3461, 3455, 3450, 3444, 3439, 3433, 3428, 3422, 3416, 3411, 3405, 3399, 3394, 3388, 3382, 3376, 3370, 3365, 3359, 3353, 3347, 3341, 3335, 3329, 3323, 3317, 3311, 3305, 3299, 3293, 3287, 3281, 3274, 3268, 3262, 3256, 3250, 3243, 3237, 3231, 3224, 3218, 3212, 3205, 3199, 3192, 3186, 3180, 3173, 3167, 3160, 3154, 3147, 3140, 3134, 3127, 3121, 3114, 3107, 3101, 3094, 3087, 3080, 3074, 3067, 3060, 3053, 3046, 3040, 3033, 3026, 3019, 3012, 3005, 2998, 2991, 2984, 2977, 2970, 2963, 2956, 2949, 2942, 2935, 2927, 2920, 2913, 2906, 2899, 2891, 2884, 2877, 2870, 2862, 2855, 2848, 2840, 2833, 2826, 2818, 2811, 2803, 2796, 2789, 2781, 2774, 2766, 2759, 2751, 2744, 2736, 2728, 2721, 2713, 2706, 2698, 2690, 2683, 2675, 2667, 2660, 2652, 2644, 2636, 2629, 2621, 2613, 2605, 2597, 2590, 2582, 2574, 2566, 2558, 2550, 2542, 2534, 2526, 2518, 2511, 2503, 2495, 2487, 2479, 2471, 2463, 2454, 2446, 2438, 2430, 2422, 2414, 2406, 2398, 2390, 2382, 2373, 2365, 2357, 2349, 2341, 2332, 2324, 2316, 2308, 2300, 2291, 2283, 2275, 2266, 2258, 2250, 2242, 2233, 2225, 2217, 2208, 2200, 2192, 2183, 2175, 2166, 2158, 2150, 2141, 2133, 2124, 2116, 2108, 2099, 2091, 2082, 2074, 2065, 2057, 2048, 2040, 2031, 2023, 2014, 2006, 1997, 1989, 1980, 1972, 1963, 1955, 1946, 1938, 1929, 1920, 1912, 1903, 1895, 1886, 1878, 1869, 1861, 1852, 1843, 1835, 1826, 1818, 1809, 1800, 1792, 1783, 1775, 1766, 1757, 1749, 1740, 1732, 1723, 1714, 1706, 1697, 1689, 1680, 1671, 1663, 1654, 1646, 1637, 1628, 1620, 1611, 1602, 1594, 1585, 1577, 1568, 1560, 1551, 1542, 1534, 1525, 1517, 1508, 1499, 1491, 1482, 1474, 1465, 1457, 1448, 1440, 1431, 1422, 1414, 1405, 1397, 1388, 1380, 1371, 1363, 1354, 1346, 1337, 1329, 1321, 1312, 1304, 1295, 1287, 1278, 1270, 1262, 1253, 1245, 1236, 1228, 1220, 1211, 1203, 1195, 1186, 1178, 1170, 1161, 1153, 1145, 1137, 1128, 1120, 1112, 1104, 1095, 1087, 1079, 1071, 1063, 1055, 1046, 1038, 1030, 1022, 1014, 1006, 998, 990, 982, 974, 966, 958, 950, 942, 934, 926, 918, 910, 903, 895, 887, 879, 871, 864, 856, 848, 840, 833, 825, 817, 810, 802, 795, 787, 779, 772, 764, 757, 749, 742, 734, 727, 720, 712, 705, 698, 690, 683, 676, 669, 661, 654, 647, 640, 633, 626, 619, 612, 605, 598, 591, 584, 577, 570, 563, 556, 550, 543, 536, 529, 523, 516, 510, 503, 496, 490, 483, 477, 470, 464, 458, 451, 445, 439, 433, 426, 420, 414, 408, 402, 396, 390, 384, 378, 372, 366, 360, 354, 349, 343, 337, 332, 326, 320, 315, 309, 304, 298, 293, 288, 282, 277, 272, 267, 261, 256, 251, 246, 241, 236, 231, 227, 222, 217, 212, 208, 203, 198, 194, 189, 185, 180, 176, 172, 167, 163, 159, 155, 151, 147, 143, 139, 135, 131, 127, 123, 120, 116, 112, 109, 105, 102, 98, 95, 92, 88, 85, 82, 79, 76, 73, 70, 67, 64, 62, 59, 56, 54, 51, 49, 46, 44, 41, 39, 37, 35, 33, 31, 29, 27, 25, 23, 22, 20, 18, 17, 15, 14, 13, 11, 10, 9, 8, 7, 6, 5, 4, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 15, 16, 18, 19, 21, 23, 25, 27, 29, 31, 34, 36, 38, 41, 44, 46, 49, 52, 55, 58, 61, 64, 67, 71, 74, 78, 81, 85, 89, 93, 97, 101, 105, 109, 113, 118, 122, 127, 132, 136, 141, 146, 151, 156, 162, 167, 172, 178, 184, 189, 195, 201, 207, 213, 220, 226, 232, 239, 245, 252, 259, 266, 273, 280, 287, 295, 302, 310, 317, 325, 333, 341, 349, 357, 366, 374, 382, 391, 400, 409, 418, 427, 436, 445, 454, 464, 474, 483, 493, 503, 513, 523, 534, 544, 555, 565, 576, 587, 598, 609, 620, 632, 643, 655, 667, 678, 690, 703, 715, 727, 740, 752, 765, 778, 791, 804, 817, 830, 844, 857, 871, 885, 899, 913, 927, 942, 956, 971, 986, 1001, 1016, 1031, 1046, 1062, 1077, 1093, 1109, 1125, 1141, 1157, 1174, 1190, 1207, 1224, 1241, 1258, 1275, 1293, 1310, 1328, 1346, 1364, 1382, 1400, 1419, 1437, 1456, 1475, 1494, 1513, 1532, 1552, 1571, 1591, 1611, 1631, 1651, 1672, 1692, 1713, 1734, 1755, 1776, 1797, 1819, 1840, 1862, 1884, 1906, 1928, 1951, 1973, 1996, 2019, 2042, 2065, 2089, 2112, 2136, 2160, 2184, 2208, 2232, 2257, 2282, 2307, 2332, 2357, 2382, 2408, 2434, 2459, 2486, 2512, 2538, 2565, 2592, 2619, 2646, 2673, 2700, 2728, 2756, 2784, 2812, 2841, 2869, 2898, 2927, 2956, 2985, 3015, 3044, 3074, 3104, 3134, 3165, 3195, 3226, 3257, 3288, 3320, 3351, 3383, 3415, 3447, 3479, 3512, 3544, 3577, 3610, 3644, 3677, 3711, 3745, 3779, 3813, 3848, 3882, 3917, 3952, 3987, 4023, 4059		
	}

};


/* Javascript/HTML for generating ChebyShev tables:

<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en">
	<head>
		<script src="http://code.jquery.com/jquery-latest.min.js" type="text/javascript"></script>
		<style>
			textarea {
				width: 300px;
				height: 500px;
			}
		</style>
	</head>
	<body>
		<textarea id="chevychev-table-t3"></textarea>
		<textarea id="chevychev-table-t4"></textarea>
		<textarea id="chevychev-table-t5"></textarea>
		<textarea id="chevychev-table-t6"></textarea>
	</body>

	<script>

		$('textarea').val('');

		var table_t3 = $('#chevychev-table-t3');
		var table_t4 = $('#chevychev-table-t4');
		var table_t5 = $('#chevychev-table-t5');
		var table_t6 = $('#chevychev-table-t6');

		for(t=0; t<4096; t++)
		{
			x = (t-2048)/2048;

			// t3 = 4x^3-3x
			t3 = (4 * Math.pow(x,3)) - (3 * x);
			append_table_value(table_t3, t3);

			// t4 = 8x^4-8x^2+1
			t4 = (8 * Math.pow(x,4)) - (8 * Math.pow(x,2)) + 1;
			append_table_value(table_t4, t4);

			// t5 = 16x^5 - 20x^3 + 5x
			t5 = (16 * Math.pow(x,5)) - (20 * Math.pow(x,3)) + (5 * x);
			append_table_value(table_t5, t5);

			// t6 = 32x^6 - 48x^4 + 18x^2 - 1
			t6 = (32 * Math.pow(x,6)) - (48 * Math.pow(x,4)) + (18 * Math.pow(x, 2)) - 1;
			append_table_value(table_t6, t6);
		}

		function convert_to_12_bit(v)
		{
			return(parseInt(((v + 1) / 2) * 4095));
		}

		function append_table_value(table_element, v)
		{
			$(table_element).val($(table_element).val() + convert_to_12_bit(v) + ', ');
		}

	</script>	
</html>

*/