tmk_core/tool/mbed/mbed-sdk/libraries/dsp/cmsis_dsp/CommonTables/arm_common_tables.c

   1 /* ----------------------------------------------------------------------
   2 * Copyright (C) 2010-2013 ARM Limited. All rights reserved.
   3 *
   4 * $Date:        17. January 2013
   5 * $Revision:    V1.4.1
   6 *
   7 * Project:          CMSIS DSP Library
   8 * Title:            arm_common_tables.c
   9 *
  10 * Description:  This file has common tables like fft twiddle factors, Bitreverse, reciprocal etc which are used across different functions
  11 *
  12 * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
  13 *
  14 * Redistribution and use in source and binary forms, with or without
  15 * modification, are permitted provided that the following conditions
  16 * are met:
  17 *   - Redistributions of source code must retain the above copyright
  18 *     notice, this list of conditions and the following disclaimer.
  19 *   - Redistributions in binary form must reproduce the above copyright
  20 *     notice, this list of conditions and the following disclaimer in
  21 *     the documentation and/or other materials provided with the
  22 *     distribution.
  23 *   - Neither the name of ARM LIMITED nor the names of its contributors
  24 *     may be used to endorse or promote products derived from this
  25 *     software without specific prior written permission.
  26 *
  27 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
  28 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
  29 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
  30 * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
  31 * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
  32 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
  33 * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
  34 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
  35 * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
  36 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
  37 * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
  38 * POSSIBILITY OF SUCH DAMAGE.
  39 * -------------------------------------------------------------------- */
  40
  41
  42 #include "arm_math.h"
  43 #include "arm_common_tables.h"
  44
  45 /**
  46  * @ingroup groupTransforms
  47  */
  48
  49 /**
  50  * @addtogroup CFFT_CIFFT Complex FFT Tables
  51  * @{
  52  */
  53
  54 /**
  55 * \par
  56 * Pseudo code for Generation of Bit reversal Table is
  57 * \par
  58 * <pre>for(l=1;l <= N/4;l++)
  59 * {
  60 *   for(i=0;i<logN2;i++)
  61 *   {
  62 *     a[i]=l&(1<<i);
  63 *   }
  64 *   for(j=0; j<logN2; j++)
  65 *   {
  66 *     if (a[j]!=0)
  67 *     y[l]+=(1<<((logN2-1)-j));
  68 *   }
  69 *   y[l] = y[l] >> 1;
  70 *  } </pre>
  71 * \par
  72 * where N = 4096        logN2 = 12
  73 * \par
  74 * N is the maximum FFT Size supported
  75 */
  76
  77 /*
  78 * @brief  Table for bit reversal process
  79 */
  80 const uint16_t armBitRevTable[1024] = {
  81   0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700,
  82   0x80, 0x480, 0x280, 0x680, 0x180, 0x580, 0x380,
  83   0x780, 0x40, 0x440, 0x240, 0x640, 0x140, 0x540,
  84   0x340, 0x740, 0xc0, 0x4c0, 0x2c0, 0x6c0, 0x1c0,
  85   0x5c0, 0x3c0, 0x7c0, 0x20, 0x420, 0x220, 0x620,
  86   0x120, 0x520, 0x320, 0x720, 0xa0, 0x4a0, 0x2a0,
  87   0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x60, 0x460,
  88   0x260, 0x660, 0x160, 0x560, 0x360, 0x760, 0xe0,
  89   0x4e0, 0x2e0, 0x6e0, 0x1e0, 0x5e0, 0x3e0, 0x7e0,
  90   0x10, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310,
  91   0x710, 0x90, 0x490, 0x290, 0x690, 0x190, 0x590,
  92   0x390, 0x790, 0x50, 0x450, 0x250, 0x650, 0x150,
  93   0x550, 0x350, 0x750, 0xd0, 0x4d0, 0x2d0, 0x6d0,
  94   0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x30, 0x430, 0x230,
  95   0x630, 0x130, 0x530, 0x330, 0x730, 0xb0, 0x4b0,
  96   0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0, 0x7b0, 0x70,
  97   0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770,
  98   0xf0, 0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0,
  99   0x7f0, 0x8, 0x408, 0x208, 0x608, 0x108, 0x508,
 100   0x308, 0x708, 0x88, 0x488, 0x288, 0x688, 0x188,
 101   0x588, 0x388, 0x788, 0x48, 0x448, 0x248, 0x648,
 102   0x148, 0x548, 0x348, 0x748, 0xc8, 0x4c8, 0x2c8,
 103   0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x28, 0x428,
 104   0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0xa8,
 105   0x4a8, 0x2a8, 0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8,
 106   0x68, 0x468, 0x268, 0x668, 0x168, 0x568, 0x368,
 107   0x768, 0xe8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8,
 108   0x3e8, 0x7e8, 0x18, 0x418, 0x218, 0x618, 0x118,
 109   0x518, 0x318, 0x718, 0x98, 0x498, 0x298, 0x698,
 110   0x198, 0x598, 0x398, 0x798, 0x58, 0x458, 0x258,
 111   0x658, 0x158, 0x558, 0x358, 0x758, 0xd8, 0x4d8,
 112   0x2d8, 0x6d8, 0x1d8, 0x5d8, 0x3d8, 0x7d8, 0x38,
 113   0x438, 0x238, 0x638, 0x138, 0x538, 0x338, 0x738,
 114   0xb8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8,
 115   0x7b8, 0x78, 0x478, 0x278, 0x678, 0x178, 0x578,
 116   0x378, 0x778, 0xf8, 0x4f8, 0x2f8, 0x6f8, 0x1f8,
 117   0x5f8, 0x3f8, 0x7f8, 0x4, 0x404, 0x204, 0x604,
 118   0x104, 0x504, 0x304, 0x704, 0x84, 0x484, 0x284,
 119   0x684, 0x184, 0x584, 0x384, 0x784, 0x44, 0x444,
 120   0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0xc4,
 121   0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4,
 122   0x24, 0x424, 0x224, 0x624, 0x124, 0x524, 0x324,
 123   0x724, 0xa4, 0x4a4, 0x2a4, 0x6a4, 0x1a4, 0x5a4,
 124   0x3a4, 0x7a4, 0x64, 0x464, 0x264, 0x664, 0x164,
 125   0x564, 0x364, 0x764, 0xe4, 0x4e4, 0x2e4, 0x6e4,
 126   0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x14, 0x414, 0x214,
 127   0x614, 0x114, 0x514, 0x314, 0x714, 0x94, 0x494,
 128   0x294, 0x694, 0x194, 0x594, 0x394, 0x794, 0x54,
 129   0x454, 0x254, 0x654, 0x154, 0x554, 0x354, 0x754,
 130   0xd4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4,
 131   0x7d4, 0x34, 0x434, 0x234, 0x634, 0x134, 0x534,
 132   0x334, 0x734, 0xb4, 0x4b4, 0x2b4, 0x6b4, 0x1b4,
 133   0x5b4, 0x3b4, 0x7b4, 0x74, 0x474, 0x274, 0x674,
 134   0x174, 0x574, 0x374, 0x774, 0xf4, 0x4f4, 0x2f4,
 135   0x6f4, 0x1f4, 0x5f4, 0x3f4, 0x7f4, 0xc, 0x40c,
 136   0x20c, 0x60c, 0x10c, 0x50c, 0x30c, 0x70c, 0x8c,
 137   0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c,
 138   0x4c, 0x44c, 0x24c, 0x64c, 0x14c, 0x54c, 0x34c,
 139   0x74c, 0xcc, 0x4cc, 0x2cc, 0x6cc, 0x1cc, 0x5cc,
 140   0x3cc, 0x7cc, 0x2c, 0x42c, 0x22c, 0x62c, 0x12c,
 141   0x52c, 0x32c, 0x72c, 0xac, 0x4ac, 0x2ac, 0x6ac,
 142   0x1ac, 0x5ac, 0x3ac, 0x7ac, 0x6c, 0x46c, 0x26c,
 143   0x66c, 0x16c, 0x56c, 0x36c, 0x76c, 0xec, 0x4ec,
 144   0x2ec, 0x6ec, 0x1ec, 0x5ec, 0x3ec, 0x7ec, 0x1c,
 145   0x41c, 0x21c, 0x61c, 0x11c, 0x51c, 0x31c, 0x71c,
 146   0x9c, 0x49c, 0x29c, 0x69c, 0x19c, 0x59c, 0x39c,
 147   0x79c, 0x5c, 0x45c, 0x25c, 0x65c, 0x15c, 0x55c,
 148   0x35c, 0x75c, 0xdc, 0x4dc, 0x2dc, 0x6dc, 0x1dc,
 149   0x5dc, 0x3dc, 0x7dc, 0x3c, 0x43c, 0x23c, 0x63c,
 150   0x13c, 0x53c, 0x33c, 0x73c, 0xbc, 0x4bc, 0x2bc,
 151   0x6bc, 0x1bc, 0x5bc, 0x3bc, 0x7bc, 0x7c, 0x47c,
 152   0x27c, 0x67c, 0x17c, 0x57c, 0x37c, 0x77c, 0xfc,
 153   0x4fc, 0x2fc, 0x6fc, 0x1fc, 0x5fc, 0x3fc, 0x7fc,
 154   0x2, 0x402, 0x202, 0x602, 0x102, 0x502, 0x302,
 155   0x702, 0x82, 0x482, 0x282, 0x682, 0x182, 0x582,
 156   0x382, 0x782, 0x42, 0x442, 0x242, 0x642, 0x142,
 157   0x542, 0x342, 0x742, 0xc2, 0x4c2, 0x2c2, 0x6c2,
 158   0x1c2, 0x5c2, 0x3c2, 0x7c2, 0x22, 0x422, 0x222,
 159   0x622, 0x122, 0x522, 0x322, 0x722, 0xa2, 0x4a2,
 160   0x2a2, 0x6a2, 0x1a2, 0x5a2, 0x3a2, 0x7a2, 0x62,
 161   0x462, 0x262, 0x662, 0x162, 0x562, 0x362, 0x762,
 162   0xe2, 0x4e2, 0x2e2, 0x6e2, 0x1e2, 0x5e2, 0x3e2,
 163   0x7e2, 0x12, 0x412, 0x212, 0x612, 0x112, 0x512,
 164   0x312, 0x712, 0x92, 0x492, 0x292, 0x692, 0x192,
 165   0x592, 0x392, 0x792, 0x52, 0x452, 0x252, 0x652,
 166   0x152, 0x552, 0x352, 0x752, 0xd2, 0x4d2, 0x2d2,
 167   0x6d2, 0x1d2, 0x5d2, 0x3d2, 0x7d2, 0x32, 0x432,
 168   0x232, 0x632, 0x132, 0x532, 0x332, 0x732, 0xb2,
 169   0x4b2, 0x2b2, 0x6b2, 0x1b2, 0x5b2, 0x3b2, 0x7b2,
 170   0x72, 0x472, 0x272, 0x672, 0x172, 0x572, 0x372,
 171   0x772, 0xf2, 0x4f2, 0x2f2, 0x6f2, 0x1f2, 0x5f2,
 172   0x3f2, 0x7f2, 0xa, 0x40a, 0x20a, 0x60a, 0x10a,
 173   0x50a, 0x30a, 0x70a, 0x8a, 0x48a, 0x28a, 0x68a,
 174   0x18a, 0x58a, 0x38a, 0x78a, 0x4a, 0x44a, 0x24a,
 175   0x64a, 0x14a, 0x54a, 0x34a, 0x74a, 0xca, 0x4ca,
 176   0x2ca, 0x6ca, 0x1ca, 0x5ca, 0x3ca, 0x7ca, 0x2a,
 177   0x42a, 0x22a, 0x62a, 0x12a, 0x52a, 0x32a, 0x72a,
 178   0xaa, 0x4aa, 0x2aa, 0x6aa, 0x1aa, 0x5aa, 0x3aa,
 179   0x7aa, 0x6a, 0x46a, 0x26a, 0x66a, 0x16a, 0x56a,
 180   0x36a, 0x76a, 0xea, 0x4ea, 0x2ea, 0x6ea, 0x1ea,
 181   0x5ea, 0x3ea, 0x7ea, 0x1a, 0x41a, 0x21a, 0x61a,
 182   0x11a, 0x51a, 0x31a, 0x71a, 0x9a, 0x49a, 0x29a,
 183   0x69a, 0x19a, 0x59a, 0x39a, 0x79a, 0x5a, 0x45a,
 184   0x25a, 0x65a, 0x15a, 0x55a, 0x35a, 0x75a, 0xda,
 185   0x4da, 0x2da, 0x6da, 0x1da, 0x5da, 0x3da, 0x7da,
 186   0x3a, 0x43a, 0x23a, 0x63a, 0x13a, 0x53a, 0x33a,
 187   0x73a, 0xba, 0x4ba, 0x2ba, 0x6ba, 0x1ba, 0x5ba,
 188   0x3ba, 0x7ba, 0x7a, 0x47a, 0x27a, 0x67a, 0x17a,
 189   0x57a, 0x37a, 0x77a, 0xfa, 0x4fa, 0x2fa, 0x6fa,
 190   0x1fa, 0x5fa, 0x3fa, 0x7fa, 0x6, 0x406, 0x206,
 191   0x606, 0x106, 0x506, 0x306, 0x706, 0x86, 0x486,
 192   0x286, 0x686, 0x186, 0x586, 0x386, 0x786, 0x46,
 193   0x446, 0x246, 0x646, 0x146, 0x546, 0x346, 0x746,
 194   0xc6, 0x4c6, 0x2c6, 0x6c6, 0x1c6, 0x5c6, 0x3c6,
 195   0x7c6, 0x26, 0x426, 0x226, 0x626, 0x126, 0x526,
 196   0x326, 0x726, 0xa6, 0x4a6, 0x2a6, 0x6a6, 0x1a6,
 197   0x5a6, 0x3a6, 0x7a6, 0x66, 0x466, 0x266, 0x666,
 198   0x166, 0x566, 0x366, 0x766, 0xe6, 0x4e6, 0x2e6,
 199   0x6e6, 0x1e6, 0x5e6, 0x3e6, 0x7e6, 0x16, 0x416,
 200   0x216, 0x616, 0x116, 0x516, 0x316, 0x716, 0x96,
 201   0x496, 0x296, 0x696, 0x196, 0x596, 0x396, 0x796,
 202   0x56, 0x456, 0x256, 0x656, 0x156, 0x556, 0x356,
 203   0x756, 0xd6, 0x4d6, 0x2d6, 0x6d6, 0x1d6, 0x5d6,
 204   0x3d6, 0x7d6, 0x36, 0x436, 0x236, 0x636, 0x136,
 205   0x536, 0x336, 0x736, 0xb6, 0x4b6, 0x2b6, 0x6b6,
 206   0x1b6, 0x5b6, 0x3b6, 0x7b6, 0x76, 0x476, 0x276,
 207   0x676, 0x176, 0x576, 0x376, 0x776, 0xf6, 0x4f6,
 208   0x2f6, 0x6f6, 0x1f6, 0x5f6, 0x3f6, 0x7f6, 0xe,
 209   0x40e, 0x20e, 0x60e, 0x10e, 0x50e, 0x30e, 0x70e,
 210   0x8e, 0x48e, 0x28e, 0x68e, 0x18e, 0x58e, 0x38e,
 211   0x78e, 0x4e, 0x44e, 0x24e, 0x64e, 0x14e, 0x54e,
 212   0x34e, 0x74e, 0xce, 0x4ce, 0x2ce, 0x6ce, 0x1ce,
 213   0x5ce, 0x3ce, 0x7ce, 0x2e, 0x42e, 0x22e, 0x62e,
 214   0x12e, 0x52e, 0x32e, 0x72e, 0xae, 0x4ae, 0x2ae,
 215   0x6ae, 0x1ae, 0x5ae, 0x3ae, 0x7ae, 0x6e, 0x46e,
 216   0x26e, 0x66e, 0x16e, 0x56e, 0x36e, 0x76e, 0xee,
 217   0x4ee, 0x2ee, 0x6ee, 0x1ee, 0x5ee, 0x3ee, 0x7ee,
 218   0x1e, 0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e,
 219   0x71e, 0x9e, 0x49e, 0x29e, 0x69e, 0x19e, 0x59e,
 220   0x39e, 0x79e, 0x5e, 0x45e, 0x25e, 0x65e, 0x15e,
 221   0x55e, 0x35e, 0x75e, 0xde, 0x4de, 0x2de, 0x6de,
 222   0x1de, 0x5de, 0x3de, 0x7de, 0x3e, 0x43e, 0x23e,
 223   0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0xbe, 0x4be,
 224   0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x7e,
 225   0x47e, 0x27e, 0x67e, 0x17e, 0x57e, 0x37e, 0x77e,
 226   0xfe, 0x4fe, 0x2fe, 0x6fe, 0x1fe, 0x5fe, 0x3fe,
 227   0x7fe, 0x1
 228 };
 229
 230
 231 /*
 232 * @brief  Floating-point Twiddle factors Table Generation
 233 */
 234
 235 /**
 236 * \par
 237 * Example code for Floating-point Twiddle factors Generation:
 238 * \par
 239 * <pre>for(i = 0; i< N/; i++)
 240 * {
 241 *       twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
 242 *       twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
 243 * } </pre>
 244 * \par
 245 * where N = 4096        and PI = 3.14159265358979
 246 * \par
 247 * Cos and Sin values are in interleaved fashion
 248 *
 249 */
 250 const float32_t twiddleCoef_16[32] = {
 251     1.000000000f,  0.000000000f,
 252     0.923879533f,  0.382683432f,
 253     0.707106781f,  0.707106781f,
 254     0.382683432f,  0.923879533f,
 255     0.000000000f,  1.000000000f,
 256    -0.382683432f,  0.923879533f,
 257    -0.707106781f,  0.707106781f,
 258    -0.923879533f,  0.382683432f,
 259    -1.000000000f,  0.000000000f,
 260    -0.923879533f, -0.382683432f,
 261    -0.707106781f, -0.707106781f,
 262    -0.382683432f, -0.923879533f,
 263    -0.000000000f, -1.000000000f,
 264     0.382683432f, -0.923879533f,
 265     0.707106781f, -0.707106781f,
 266     0.923879533f, -0.382683432f
 267 };
 268
 269 /**
 270 * \par
 271 * Example code for Floating-point Twiddle factors Generation:
 272 * \par
 273 * <pre>for(i = 0; i< N/; i++)
 274 * {
 275 *       twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
 276 *       twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
 277 * } </pre>
 278 * \par
 279 * where N = 4096        and PI = 3.14159265358979
 280 * \par
 281 * Cos and Sin values are in interleaved fashion
 282 *
 283 */
 284 const float32_t twiddleCoef_32[64] = {
 285     1.000000000f,  0.000000000f,
 286     0.980785280f,  0.195090322f,
 287     0.923879533f,  0.382683432f,
 288     0.831469612f,  0.555570233f,
 289     0.707106781f,  0.707106781f,
 290     0.555570233f,  0.831469612f,
 291     0.382683432f,  0.923879533f,
 292     0.195090322f,  0.980785280f,
 293     0.000000000f,  1.000000000f,
 294    -0.195090322f,  0.980785280f,
 295    -0.382683432f,  0.923879533f,
 296    -0.555570233f,  0.831469612f,
 297    -0.707106781f,  0.707106781f,
 298    -0.831469612f,  0.555570233f,
 299    -0.923879533f,  0.382683432f,
 300    -0.980785280f,  0.195090322f,
 301    -1.000000000f,  0.000000000f,
 302    -0.980785280f, -0.195090322f,
 303    -0.923879533f, -0.382683432f,
 304    -0.831469612f, -0.555570233f,
 305    -0.707106781f, -0.707106781f,
 306    -0.555570233f, -0.831469612f,
 307    -0.382683432f, -0.923879533f,
 308    -0.195090322f, -0.980785280f,
 309    -0.000000000f, -1.000000000f,
 310     0.195090322f, -0.980785280f,
 311     0.382683432f, -0.923879533f,
 312     0.555570233f, -0.831469612f,
 313     0.707106781f, -0.707106781f,
 314     0.831469612f, -0.555570233f,
 315     0.923879533f, -0.382683432f,
 316     0.980785280f, -0.195090322f
 317 };
 318
 319 /**
 320 * \par
 321 * Example code for Floating-point Twiddle factors Generation:
 322 * \par
 323 * <pre>for(i = 0; i< N/; i++)
 324 * {
 325 *       twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
 326 *       twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
 327 * } </pre>
 328 * \par
 329 * where N = 4096        and PI = 3.14159265358979
 330 * \par
 331 * Cos and Sin values are in interleaved fashion
 332 *
 333 */
 334 const float32_t twiddleCoef_64[128] = {
 335     1.000000000f,  0.000000000f,
 336     0.995184727f,  0.098017140f,
 337     0.980785280f,  0.195090322f,
 338     0.956940336f,  0.290284677f,
 339     0.923879533f,  0.382683432f,
 340     0.881921264f,  0.471396737f,
 341     0.831469612f,  0.555570233f,
 342     0.773010453f,  0.634393284f,
 343     0.707106781f,  0.707106781f,
 344     0.634393284f,  0.773010453f,
 345     0.555570233f,  0.831469612f,
 346     0.471396737f,  0.881921264f,
 347     0.382683432f,  0.923879533f,
 348     0.290284677f,  0.956940336f,
 349     0.195090322f,  0.980785280f,
 350     0.098017140f,  0.995184727f,
 351     0.000000000f,  1.000000000f,
 352    -0.098017140f,  0.995184727f,
 353    -0.195090322f,  0.980785280f,
 354    -0.290284677f,  0.956940336f,
 355    -0.382683432f,  0.923879533f,
 356    -0.471396737f,  0.881921264f,
 357    -0.555570233f,  0.831469612f,
 358    -0.634393284f,  0.773010453f,
 359    -0.707106781f,  0.707106781f,
 360    -0.773010453f,  0.634393284f,
 361    -0.831469612f,  0.555570233f,
 362    -0.881921264f,  0.471396737f,
 363    -0.923879533f,  0.382683432f,
 364    -0.956940336f,  0.290284677f,
 365    -0.980785280f,  0.195090322f,
 366    -0.995184727f,  0.098017140f,
 367    -1.000000000f,  0.000000000f,
 368    -0.995184727f, -0.098017140f,
 369    -0.980785280f, -0.195090322f,
 370    -0.956940336f, -0.290284677f,
 371    -0.923879533f, -0.382683432f,
 372    -0.881921264f, -0.471396737f,
 373    -0.831469612f, -0.555570233f,
 374    -0.773010453f, -0.634393284f,
 375    -0.707106781f, -0.707106781f,
 376    -0.634393284f, -0.773010453f,
 377    -0.555570233f, -0.831469612f,
 378    -0.471396737f, -0.881921264f,
 379    -0.382683432f, -0.923879533f,
 380    -0.290284677f, -0.956940336f,
 381    -0.195090322f, -0.980785280f,
 382    -0.098017140f, -0.995184727f,
 383    -0.000000000f, -1.000000000f,
 384     0.098017140f, -0.995184727f,
 385     0.195090322f, -0.980785280f,
 386     0.290284677f, -0.956940336f,
 387     0.382683432f, -0.923879533f,
 388     0.471396737f, -0.881921264f,
 389     0.555570233f, -0.831469612f,
 390     0.634393284f, -0.773010453f,
 391     0.707106781f, -0.707106781f,
 392     0.773010453f, -0.634393284f,
 393     0.831469612f, -0.555570233f,
 394     0.881921264f, -0.471396737f,
 395     0.923879533f, -0.382683432f,
 396     0.956940336f, -0.290284677f,
 397     0.980785280f, -0.195090322f,
 398     0.995184727f, -0.098017140f
 399 };
 400
 401 /**
 402 * \par
 403 * Example code for Floating-point Twiddle factors Generation:
 404 * \par
 405 * <pre>for(i = 0; i< N/; i++)
 406 * {
 407 *       twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
 408 *       twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
 409 * } </pre>
 410 * \par
 411 * where N = 4096        and PI = 3.14159265358979
 412 * \par
 413 * Cos and Sin values are in interleaved fashion
 414 *
 415 */
 416
 417 const float32_t twiddleCoef_128[256] = {
 418 1.000000000f    ,       0.000000000f    ,
 419 0.998795456f    ,       0.049067674f    ,
 420 0.995184727f    ,       0.098017140f    ,
 421 0.989176510f    ,       0.146730474f    ,
 422 0.980785280f    ,       0.195090322f    ,
 423 0.970031253f    ,       0.242980180f    ,
 424 0.956940336f    ,       0.290284677f    ,
 425 0.941544065f    ,       0.336889853f    ,
 426 0.923879533f    ,       0.382683432f    ,
 427 0.903989293f    ,       0.427555093f    ,
 428 0.881921264f    ,       0.471396737f    ,
 429 0.857728610f    ,       0.514102744f    ,
 430 0.831469612f    ,       0.555570233f    ,
 431 0.803207531f    ,       0.595699304f    ,
 432 0.773010453f    ,       0.634393284f    ,
 433 0.740951125f    ,       0.671558955f    ,
 434 0.707106781f    ,       0.707106781f    ,
 435 0.671558955f    ,       0.740951125f    ,
 436 0.634393284f    ,       0.773010453f    ,
 437 0.595699304f    ,       0.803207531f    ,
 438 0.555570233f    ,       0.831469612f    ,
 439 0.514102744f    ,       0.857728610f    ,
 440 0.471396737f    ,       0.881921264f    ,
 441 0.427555093f    ,       0.903989293f    ,
 442 0.382683432f    ,       0.923879533f    ,
 443 0.336889853f    ,       0.941544065f    ,
 444 0.290284677f    ,       0.956940336f    ,
 445 0.242980180f    ,       0.970031253f    ,
 446 0.195090322f    ,       0.980785280f    ,
 447 0.146730474f    ,       0.989176510f    ,
 448 0.098017140f    ,       0.995184727f    ,
 449 0.049067674f    ,       0.998795456f    ,
 450 0.000000000f    ,       1.000000000f    ,
 451 -0.049067674f   ,       0.998795456f    ,
 452 -0.098017140f   ,       0.995184727f    ,
 453 -0.146730474f   ,       0.989176510f    ,
 454 -0.195090322f   ,       0.980785280f    ,
 455 -0.242980180f   ,       0.970031253f    ,
 456 -0.290284677f   ,       0.956940336f    ,
 457 -0.336889853f   ,       0.941544065f    ,
 458 -0.382683432f   ,       0.923879533f    ,
 459 -0.427555093f   ,       0.903989293f    ,
 460 -0.471396737f   ,       0.881921264f    ,
 461 -0.514102744f   ,       0.857728610f    ,
 462 -0.555570233f   ,       0.831469612f    ,
 463 -0.595699304f   ,       0.803207531f    ,
 464 -0.634393284f   ,       0.773010453f    ,
 465 -0.671558955f   ,       0.740951125f    ,
 466 -0.707106781f   ,       0.707106781f    ,
 467 -0.740951125f   ,       0.671558955f    ,
 468 -0.773010453f   ,       0.634393284f    ,
 469 -0.803207531f   ,       0.595699304f    ,
 470 -0.831469612f   ,       0.555570233f    ,
 471 -0.857728610f   ,       0.514102744f    ,
 472 -0.881921264f   ,       0.471396737f    ,
 473 -0.903989293f   ,       0.427555093f    ,
 474 -0.923879533f   ,       0.382683432f    ,
 475 -0.941544065f   ,       0.336889853f    ,
 476 -0.956940336f   ,       0.290284677f    ,
 477 -0.970031253f   ,       0.242980180f    ,
 478 -0.980785280f   ,       0.195090322f    ,
 479 -0.989176510f   ,       0.146730474f    ,
 480 -0.995184727f   ,       0.098017140f    ,
 481 -0.998795456f   ,       0.049067674f    ,
 482 -1.000000000f   ,       0.000000000f    ,
 483 -0.998795456f   ,       -0.049067674f   ,
 484 -0.995184727f   ,       -0.098017140f   ,
 485 -0.989176510f   ,       -0.146730474f   ,
 486 -0.980785280f   ,       -0.195090322f   ,
 487 -0.970031253f   ,       -0.242980180f   ,
 488 -0.956940336f   ,       -0.290284677f   ,
 489 -0.941544065f   ,       -0.336889853f   ,
 490 -0.923879533f   ,       -0.382683432f   ,
 491 -0.903989293f   ,       -0.427555093f   ,
 492 -0.881921264f   ,       -0.471396737f   ,
 493 -0.857728610f   ,       -0.514102744f   ,
 494 -0.831469612f   ,       -0.555570233f   ,
 495 -0.803207531f   ,       -0.595699304f   ,
 496 -0.773010453f   ,       -0.634393284f   ,
 497 -0.740951125f   ,       -0.671558955f   ,
 498 -0.707106781f   ,       -0.707106781f   ,
 499 -0.671558955f   ,       -0.740951125f   ,
 500 -0.634393284f   ,       -0.773010453f   ,
 501 -0.595699304f   ,       -0.803207531f   ,
 502 -0.555570233f   ,       -0.831469612f   ,
 503 -0.514102744f   ,       -0.857728610f   ,
 504 -0.471396737f   ,       -0.881921264f   ,
 505 -0.427555093f   ,       -0.903989293f   ,
 506 -0.382683432f   ,       -0.923879533f   ,
 507 -0.336889853f   ,       -0.941544065f   ,
 508 -0.290284677f   ,       -0.956940336f   ,
 509 -0.242980180f   ,       -0.970031253f   ,
 510 -0.195090322f   ,       -0.980785280f   ,
 511 -0.146730474f   ,       -0.989176510f   ,
 512 -0.098017140f   ,       -0.995184727f   ,
 513 -0.049067674f   ,       -0.998795456f   ,
 514 -0.000000000f   ,       -1.000000000f   ,
 515 0.049067674f    ,       -0.998795456f   ,
 516 0.098017140f    ,       -0.995184727f   ,
 517 0.146730474f    ,       -0.989176510f   ,
 518 0.195090322f    ,       -0.980785280f   ,
 519 0.242980180f    ,       -0.970031253f   ,
 520 0.290284677f    ,       -0.956940336f   ,
 521 0.336889853f    ,       -0.941544065f   ,
 522 0.382683432f    ,       -0.923879533f   ,
 523 0.427555093f    ,       -0.903989293f   ,
 524 0.471396737f    ,       -0.881921264f   ,
 525 0.514102744f    ,       -0.857728610f   ,
 526 0.555570233f    ,       -0.831469612f   ,
 527 0.595699304f    ,       -0.803207531f   ,
 528 0.634393284f    ,       -0.773010453f   ,
 529 0.671558955f    ,       -0.740951125f   ,
 530 0.707106781f    ,       -0.707106781f   ,
 531 0.740951125f    ,       -0.671558955f   ,
 532 0.773010453f    ,       -0.634393284f   ,
 533 0.803207531f    ,       -0.595699304f   ,
 534 0.831469612f    ,       -0.555570233f   ,
 535 0.857728610f    ,       -0.514102744f   ,
 536 0.881921264f    ,       -0.471396737f   ,
 537 0.903989293f    ,       -0.427555093f   ,
 538 0.923879533f    ,       -0.382683432f   ,
 539 0.941544065f    ,       -0.336889853f   ,
 540 0.956940336f    ,       -0.290284677f   ,
 541 0.970031253f    ,       -0.242980180f   ,
 542 0.980785280f    ,       -0.195090322f   ,
 543 0.989176510f    ,       -0.146730474f   ,
 544 0.995184727f    ,       -0.098017140f   ,
 545 0.998795456f    ,       -0.049067674f
 546 };
 547
 548 /**
 549 * \par
 550 * Example code for Floating-point Twiddle factors Generation:
 551 * \par
 552 * <pre>for(i = 0; i< N/; i++)
 553 * {
 554 *       twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
 555 *       twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
 556 * } </pre>
 557 * \par
 558 * where N = 4096        and PI = 3.14159265358979
 559 * \par
 560 * Cos and Sin values are in interleaved fashion
 561 *
 562 */
 563 const float32_t twiddleCoef_256[512] = {
 564     1.000000000f,  0.000000000f,
 565     0.999698819f,  0.024541229f,
 566     0.998795456f,  0.049067674f,
 567     0.997290457f,  0.073564564f,
 568     0.995184727f,  0.098017140f,
 569     0.992479535f,  0.122410675f,
 570     0.989176510f,  0.146730474f,
 571     0.985277642f,  0.170961889f,
 572     0.980785280f,  0.195090322f,
 573     0.975702130f,  0.219101240f,
 574     0.970031253f,  0.242980180f,
 575     0.963776066f,  0.266712757f,
 576     0.956940336f,  0.290284677f,
 577     0.949528181f,  0.313681740f,
 578     0.941544065f,  0.336889853f,
 579     0.932992799f,  0.359895037f,
 580     0.923879533f,  0.382683432f,
 581     0.914209756f,  0.405241314f,
 582     0.903989293f,  0.427555093f,
 583     0.893224301f,  0.449611330f,
 584     0.881921264f,  0.471396737f,
 585     0.870086991f,  0.492898192f,
 586     0.857728610f,  0.514102744f,
 587     0.844853565f,  0.534997620f,
 588     0.831469612f,  0.555570233f,
 589     0.817584813f,  0.575808191f,
 590     0.803207531f,  0.595699304f,
 591     0.788346428f,  0.615231591f,
 592     0.773010453f,  0.634393284f,
 593     0.757208847f,  0.653172843f,
 594     0.740951125f,  0.671558955f,
 595     0.724247083f,  0.689540545f,
 596     0.707106781f,  0.707106781f,
 597     0.689540545f,  0.724247083f,
 598     0.671558955f,  0.740951125f,
 599     0.653172843f,  0.757208847f,
 600     0.634393284f,  0.773010453f,
 601     0.615231591f,  0.788346428f,
 602     0.595699304f,  0.803207531f,
 603     0.575808191f,  0.817584813f,
 604     0.555570233f,  0.831469612f,
 605     0.534997620f,  0.844853565f,
 606     0.514102744f,  0.857728610f,
 607     0.492898192f,  0.870086991f,
 608     0.471396737f,  0.881921264f,
 609     0.449611330f,  0.893224301f,
 610     0.427555093f,  0.903989293f,
 611     0.405241314f,  0.914209756f,
 612     0.382683432f,  0.923879533f,
 613     0.359895037f,  0.932992799f,
 614     0.336889853f,  0.941544065f,
 615     0.313681740f,  0.949528181f,
 616     0.290284677f,  0.956940336f,
 617     0.266712757f,  0.963776066f,
 618     0.242980180f,  0.970031253f,
 619     0.219101240f,  0.975702130f,
 620     0.195090322f,  0.980785280f,
 621     0.170961889f,  0.985277642f,
 622     0.146730474f,  0.989176510f,
 623     0.122410675f,  0.992479535f,
 624     0.098017140f,  0.995184727f,
 625     0.073564564f,  0.997290457f,
 626     0.049067674f,  0.998795456f,
 627     0.024541229f,  0.999698819f,
 628     0.000000000f,  1.000000000f,
 629    -0.024541229f,  0.999698819f,
 630    -0.049067674f,  0.998795456f,
 631    -0.073564564f,  0.997290457f,
 632    -0.098017140f,  0.995184727f,
 633    -0.122410675f,  0.992479535f,
 634    -0.146730474f,  0.989176510f,
 635    -0.170961889f,  0.985277642f,
 636    -0.195090322f,  0.980785280f,
 637    -0.219101240f,  0.975702130f,
 638    -0.242980180f,  0.970031253f,
 639    -0.266712757f,  0.963776066f,
 640    -0.290284677f,  0.956940336f,
 641    -0.313681740f,  0.949528181f,
 642    -0.336889853f,  0.941544065f,
 643    -0.359895037f,  0.932992799f,
 644    -0.382683432f,  0.923879533f,
 645    -0.405241314f,  0.914209756f,
 646    -0.427555093f,  0.903989293f,
 647    -0.449611330f,  0.893224301f,
 648    -0.471396737f,  0.881921264f,
 649    -0.492898192f,  0.870086991f,
 650    -0.514102744f,  0.857728610f,
 651    -0.534997620f,  0.844853565f,
 652    -0.555570233f,  0.831469612f,
 653    -0.575808191f,  0.817584813f,
 654    -0.595699304f,  0.803207531f,
 655    -0.615231591f,  0.788346428f,
 656    -0.634393284f,  0.773010453f,
 657    -0.653172843f,  0.757208847f,
 658    -0.671558955f,  0.740951125f,
 659    -0.689540545f,  0.724247083f,
 660    -0.707106781f,  0.707106781f,
 661    -0.724247083f,  0.689540545f,
 662    -0.740951125f,  0.671558955f,
 663    -0.757208847f,  0.653172843f,
 664    -0.773010453f,  0.634393284f,
 665    -0.788346428f,  0.615231591f,
 666    -0.803207531f,  0.595699304f,
 667    -0.817584813f,  0.575808191f,
 668    -0.831469612f,  0.555570233f,
 669    -0.844853565f,  0.534997620f,
 670    -0.857728610f,  0.514102744f,
 671    -0.870086991f,  0.492898192f,
 672    -0.881921264f,  0.471396737f,
 673    -0.893224301f,  0.449611330f,
 674    -0.903989293f,  0.427555093f,
 675    -0.914209756f,  0.405241314f,
 676    -0.923879533f,  0.382683432f,
 677    -0.932992799f,  0.359895037f,
 678    -0.941544065f,  0.336889853f,
 679    -0.949528181f,  0.313681740f,
 680    -0.956940336f,  0.290284677f,
 681    -0.963776066f,  0.266712757f,
 682    -0.970031253f,  0.242980180f,
 683    -0.975702130f,  0.219101240f,
 684    -0.980785280f,  0.195090322f,
 685    -0.985277642f,  0.170961889f,
 686    -0.989176510f,  0.146730474f,
 687    -0.992479535f,  0.122410675f,
 688    -0.995184727f,  0.098017140f,
 689    -0.997290457f,  0.073564564f,
 690    -0.998795456f,  0.049067674f,
 691    -0.999698819f,  0.024541229f,
 692    -1.000000000f,  0.000000000f,
 693    -0.999698819f, -0.024541229f,
 694    -0.998795456f, -0.049067674f,
 695    -0.997290457f, -0.073564564f,
 696    -0.995184727f, -0.098017140f,
 697    -0.992479535f, -0.122410675f,
 698    -0.989176510f, -0.146730474f,
 699    -0.985277642f, -0.170961889f,
 700    -0.980785280f, -0.195090322f,
 701    -0.975702130f, -0.219101240f,
 702    -0.970031253f, -0.242980180f,
 703    -0.963776066f, -0.266712757f,
 704    -0.956940336f, -0.290284677f,
 705    -0.949528181f, -0.313681740f,
 706    -0.941544065f, -0.336889853f,
 707    -0.932992799f, -0.359895037f,
 708    -0.923879533f, -0.382683432f,
 709    -0.914209756f, -0.405241314f,
 710    -0.903989293f, -0.427555093f,
 711    -0.893224301f, -0.449611330f,
 712    -0.881921264f, -0.471396737f,
 713    -0.870086991f, -0.492898192f,
 714    -0.857728610f, -0.514102744f,
 715    -0.844853565f, -0.534997620f,
 716    -0.831469612f, -0.555570233f,
 717    -0.817584813f, -0.575808191f,
 718    -0.803207531f, -0.595699304f,
 719    -0.788346428f, -0.615231591f,
 720    -0.773010453f, -0.634393284f,
 721    -0.757208847f, -0.653172843f,
 722    -0.740951125f, -0.671558955f,
 723    -0.724247083f, -0.689540545f,
 724    -0.707106781f, -0.707106781f,
 725    -0.689540545f, -0.724247083f,
 726    -0.671558955f, -0.740951125f,
 727    -0.653172843f, -0.757208847f,
 728    -0.634393284f, -0.773010453f,
 729    -0.615231591f, -0.788346428f,
 730    -0.595699304f, -0.803207531f,
 731    -0.575808191f, -0.817584813f,
 732    -0.555570233f, -0.831469612f,
 733    -0.534997620f, -0.844853565f,
 734    -0.514102744f, -0.857728610f,
 735    -0.492898192f, -0.870086991f,
 736    -0.471396737f, -0.881921264f,
 737    -0.449611330f, -0.893224301f,
 738    -0.427555093f, -0.903989293f,
 739    -0.405241314f, -0.914209756f,
 740    -0.382683432f, -0.923879533f,
 741    -0.359895037f, -0.932992799f,
 742    -0.336889853f, -0.941544065f,
 743    -0.313681740f, -0.949528181f,
 744    -0.290284677f, -0.956940336f,
 745    -0.266712757f, -0.963776066f,
 746    -0.242980180f, -0.970031253f,
 747    -0.219101240f, -0.975702130f,
 748    -0.195090322f, -0.980785280f,
 749    -0.170961889f, -0.985277642f,
 750    -0.146730474f, -0.989176510f,
 751    -0.122410675f, -0.992479535f,
 752    -0.098017140f, -0.995184727f,
 753    -0.073564564f, -0.997290457f,
 754    -0.049067674f, -0.998795456f,
 755    -0.024541229f, -0.999698819f,
 756    -0.000000000f, -1.000000000f,
 757     0.024541229f, -0.999698819f,
 758     0.049067674f, -0.998795456f,
 759     0.073564564f, -0.997290457f,
 760     0.098017140f, -0.995184727f,
 761     0.122410675f, -0.992479535f,
 762     0.146730474f, -0.989176510f,
 763     0.170961889f, -0.985277642f,
 764     0.195090322f, -0.980785280f,
 765     0.219101240f, -0.975702130f,
 766     0.242980180f, -0.970031253f,
 767     0.266712757f, -0.963776066f,
 768     0.290284677f, -0.956940336f,
 769     0.313681740f, -0.949528181f,
 770     0.336889853f, -0.941544065f,
 771     0.359895037f, -0.932992799f,
 772     0.382683432f, -0.923879533f,
 773     0.405241314f, -0.914209756f,
 774     0.427555093f, -0.903989293f,
 775     0.449611330f, -0.893224301f,
 776     0.471396737f, -0.881921264f,
 777     0.492898192f, -0.870086991f,
 778     0.514102744f, -0.857728610f,
 779     0.534997620f, -0.844853565f,
 780     0.555570233f, -0.831469612f,
 781     0.575808191f, -0.817584813f,
 782     0.595699304f, -0.803207531f,
 783     0.615231591f, -0.788346428f,
 784     0.634393284f, -0.773010453f,
 785     0.653172843f, -0.757208847f,
 786     0.671558955f, -0.740951125f,
 787     0.689540545f, -0.724247083f,
 788     0.707106781f, -0.707106781f,
 789     0.724247083f, -0.689540545f,
 790     0.740951125f, -0.671558955f,
 791     0.757208847f, -0.653172843f,
 792     0.773010453f, -0.634393284f,
 793     0.788346428f, -0.615231591f,
 794     0.803207531f, -0.595699304f,
 795     0.817584813f, -0.575808191f,
 796     0.831469612f, -0.555570233f,
 797     0.844853565f, -0.534997620f,
 798     0.857728610f, -0.514102744f,
 799     0.870086991f, -0.492898192f,
 800     0.881921264f, -0.471396737f,
 801     0.893224301f, -0.449611330f,
 802     0.903989293f, -0.427555093f,
 803     0.914209756f, -0.405241314f,
 804     0.923879533f, -0.382683432f,
 805     0.932992799f, -0.359895037f,
 806     0.941544065f, -0.336889853f,
 807     0.949528181f, -0.313681740f,
 808     0.956940336f, -0.290284677f,
 809     0.963776066f, -0.266712757f,
 810     0.970031253f, -0.242980180f,
 811     0.975702130f, -0.219101240f,
 812     0.980785280f, -0.195090322f,
 813     0.985277642f, -0.170961889f,
 814     0.989176510f, -0.146730474f,
 815     0.992479535f, -0.122410675f,
 816     0.995184727f, -0.098017140f,
 817     0.997290457f, -0.073564564f,
 818     0.998795456f, -0.049067674f,
 819     0.999698819f, -0.024541229f
 820 };
 821
 822 /**
 823 * \par
 824 * Example code for Floating-point Twiddle factors Generation:
 825 * \par
 826 * <pre>for(i = 0; i< N/; i++)
 827 * {
 828 *       twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
 829 *       twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
 830 * } </pre>
 831 * \par
 832 * where N = 4096        and PI = 3.14159265358979
 833 * \par
 834 * Cos and Sin values are in interleaved fashion
 835 *
 836 */
 837 const float32_t twiddleCoef_512[1024] = {
 838     1.000000000f,  0.000000000f,
 839     0.999924702f,  0.012271538f,
 840     0.999698819f,  0.024541229f,
 841     0.999322385f,  0.036807223f,
 842     0.998795456f,  0.049067674f,
 843     0.998118113f,  0.061320736f,
 844     0.997290457f,  0.073564564f,
 845     0.996312612f,  0.085797312f,
 846     0.995184727f,  0.098017140f,
 847     0.993906970f,  0.110222207f,
 848     0.992479535f,  0.122410675f,
 849     0.990902635f,  0.134580709f,
 850     0.989176510f,  0.146730474f,
 851     0.987301418f,  0.158858143f,
 852     0.985277642f,  0.170961889f,
 853     0.983105487f,  0.183039888f,
 854     0.980785280f,  0.195090322f,
 855     0.978317371f,  0.207111376f,
 856     0.975702130f,  0.219101240f,
 857     0.972939952f,  0.231058108f,
 858     0.970031253f,  0.242980180f,
 859     0.966976471f,  0.254865660f,
 860     0.963776066f,  0.266712757f,
 861     0.960430519f,  0.278519689f,
 862     0.956940336f,  0.290284677f,
 863     0.953306040f,  0.302005949f,
 864     0.949528181f,  0.313681740f,
 865     0.945607325f,  0.325310292f,
 866     0.941544065f,  0.336889853f,
 867     0.937339012f,  0.348418680f,
 868     0.932992799f,  0.359895037f,
 869     0.928506080f,  0.371317194f,
 870     0.923879533f,  0.382683432f,
 871     0.919113852f,  0.393992040f,
 872     0.914209756f,  0.405241314f,
 873     0.909167983f,  0.416429560f,
 874     0.903989293f,  0.427555093f,
 875     0.898674466f,  0.438616239f,
 876     0.893224301f,  0.449611330f,
 877     0.887639620f,  0.460538711f,
 878     0.881921264f,  0.471396737f,
 879     0.876070094f,  0.482183772f,
 880     0.870086991f,  0.492898192f,
 881     0.863972856f,  0.503538384f,
 882     0.857728610f,  0.514102744f,
 883     0.851355193f,  0.524589683f,
 884     0.844853565f,  0.534997620f,
 885     0.838224706f,  0.545324988f,
 886     0.831469612f,  0.555570233f,
 887     0.824589303f,  0.565731811f,
 888     0.817584813f,  0.575808191f,
 889     0.810457198f,  0.585797857f,
 890     0.803207531f,  0.595699304f,
 891     0.795836905f,  0.605511041f,
 892     0.788346428f,  0.615231591f,
 893     0.780737229f,  0.624859488f,
 894     0.773010453f,  0.634393284f,
 895     0.765167266f,  0.643831543f,
 896     0.757208847f,  0.653172843f,
 897     0.749136395f,  0.662415778f,
 898     0.740951125f,  0.671558955f,
 899     0.732654272f,  0.680600998f,
 900     0.724247083f,  0.689540545f,
 901     0.715730825f,  0.698376249f,
 902     0.707106781f,  0.707106781f,
 903     0.698376249f,  0.715730825f,
 904     0.689540545f,  0.724247083f,
 905     0.680600998f,  0.732654272f,
 906     0.671558955f,  0.740951125f,
 907     0.662415778f,  0.749136395f,
 908     0.653172843f,  0.757208847f,
 909     0.643831543f,  0.765167266f,
 910     0.634393284f,  0.773010453f,
 911     0.624859488f,  0.780737229f,
 912     0.615231591f,  0.788346428f,
 913     0.605511041f,  0.795836905f,
 914     0.595699304f,  0.803207531f,
 915     0.585797857f,  0.810457198f,
 916     0.575808191f,  0.817584813f,
 917     0.565731811f,  0.824589303f,
 918     0.555570233f,  0.831469612f,
 919     0.545324988f,  0.838224706f,
 920     0.534997620f,  0.844853565f,
 921     0.524589683f,  0.851355193f,
 922     0.514102744f,  0.857728610f,
 923     0.503538384f,  0.863972856f,
 924     0.492898192f,  0.870086991f,
 925     0.482183772f,  0.876070094f,
 926     0.471396737f,  0.881921264f,
 927     0.460538711f,  0.887639620f,
 928     0.449611330f,  0.893224301f,
 929     0.438616239f,  0.898674466f,
 930     0.427555093f,  0.903989293f,
 931     0.416429560f,  0.909167983f,
 932     0.405241314f,  0.914209756f,
 933     0.393992040f,  0.919113852f,
 934     0.382683432f,  0.923879533f,
 935     0.371317194f,  0.928506080f,
 936     0.359895037f,  0.932992799f,
 937     0.348418680f,  0.937339012f,
 938     0.336889853f,  0.941544065f,
 939     0.325310292f,  0.945607325f,
 940     0.313681740f,  0.949528181f,
 941     0.302005949f,  0.953306040f,
 942     0.290284677f,  0.956940336f,
 943     0.278519689f,  0.960430519f,
 944     0.266712757f,  0.963776066f,
 945     0.254865660f,  0.966976471f,
 946     0.242980180f,  0.970031253f,
 947     0.231058108f,  0.972939952f,
 948     0.219101240f,  0.975702130f,
 949     0.207111376f,  0.978317371f,
 950     0.195090322f,  0.980785280f,
 951     0.183039888f,  0.983105487f,
 952     0.170961889f,  0.985277642f,
 953     0.158858143f,  0.987301418f,
 954     0.146730474f,  0.989176510f,
 955     0.134580709f,  0.990902635f,
 956     0.122410675f,  0.992479535f,
 957     0.110222207f,  0.993906970f,
 958     0.098017140f,  0.995184727f,
 959     0.085797312f,  0.996312612f,
 960     0.073564564f,  0.997290457f,
 961     0.061320736f,  0.998118113f,
 962     0.049067674f,  0.998795456f,
 963     0.036807223f,  0.999322385f,
 964     0.024541229f,  0.999698819f,
 965     0.012271538f,  0.999924702f,
 966     0.000000000f,  1.000000000f,
 967    -0.012271538f,  0.999924702f,
 968    -0.024541229f,  0.999698819f,
 969    -0.036807223f,  0.999322385f,
 970    -0.049067674f,  0.998795456f,
 971    -0.061320736f,  0.998118113f,
 972    -0.073564564f,  0.997290457f,
 973    -0.085797312f,  0.996312612f,
 974    -0.098017140f,  0.995184727f,
 975    -0.110222207f,  0.993906970f,
 976    -0.122410675f,  0.992479535f,
 977    -0.134580709f,  0.990902635f,
 978    -0.146730474f,  0.989176510f,
 979    -0.158858143f,  0.987301418f,
 980    -0.170961889f,  0.985277642f,
 981    -0.183039888f,  0.983105487f,
 982    -0.195090322f,  0.980785280f,
 983    -0.207111376f,  0.978317371f,
 984    -0.219101240f,  0.975702130f,
 985    -0.231058108f,  0.972939952f,
 986    -0.242980180f,  0.970031253f,
 987    -0.254865660f,  0.966976471f,
 988    -0.266712757f,  0.963776066f,
 989    -0.278519689f,  0.960430519f,
 990    -0.290284677f,  0.956940336f,
 991    -0.302005949f,  0.953306040f,
 992    -0.313681740f,  0.949528181f,
 993    -0.325310292f,  0.945607325f,
 994    -0.336889853f,  0.941544065f,
 995    -0.348418680f,  0.937339012f,
 996    -0.359895037f,  0.932992799f,
 997    -0.371317194f,  0.928506080f,
 998    -0.382683432f,  0.923879533f,
 999    -0.393992040f,  0.919113852f,
1000    -0.405241314f,  0.914209756f,
1001    -0.416429560f,  0.909167983f,
1002    -0.427555093f,  0.903989293f,
1003    -0.438616239f,  0.898674466f,
1004    -0.449611330f,  0.893224301f,
1005    -0.460538711f,  0.887639620f,
1006    -0.471396737f,  0.881921264f,
1007    -0.482183772f,  0.876070094f,
1008    -0.492898192f,  0.870086991f,
1009    -0.503538384f,  0.863972856f,
1010    -0.514102744f,  0.857728610f,
1011    -0.524589683f,  0.851355193f,
1012    -0.534997620f,  0.844853565f,
1013    -0.545324988f,  0.838224706f,
1014    -0.555570233f,  0.831469612f,
1015    -0.565731811f,  0.824589303f,
1016    -0.575808191f,  0.817584813f,
1017    -0.585797857f,  0.810457198f,
1018    -0.595699304f,  0.803207531f,
1019    -0.605511041f,  0.795836905f,
1020    -0.615231591f,  0.788346428f,
1021    -0.624859488f,  0.780737229f,
1022    -0.634393284f,  0.773010453f,
1023    -0.643831543f,  0.765167266f,
1024    -0.653172843f,  0.757208847f,
1025    -0.662415778f,  0.749136395f,
1026    -0.671558955f,  0.740951125f,
1027    -0.680600998f,  0.732654272f,
1028    -0.689540545f,  0.724247083f,
1029    -0.698376249f,  0.715730825f,
1030    -0.707106781f,  0.707106781f,
1031    -0.715730825f,  0.698376249f,
1032    -0.724247083f,  0.689540545f,
1033    -0.732654272f,  0.680600998f,
1034    -0.740951125f,  0.671558955f,
1035    -0.749136395f,  0.662415778f,
1036    -0.757208847f,  0.653172843f,
1037    -0.765167266f,  0.643831543f,
1038    -0.773010453f,  0.634393284f,
1039    -0.780737229f,  0.624859488f,
1040    -0.788346428f,  0.615231591f,
1041    -0.795836905f,  0.605511041f,
1042    -0.803207531f,  0.595699304f,
1043    -0.810457198f,  0.585797857f,
1044    -0.817584813f,  0.575808191f,
1045    -0.824589303f,  0.565731811f,
1046    -0.831469612f,  0.555570233f,
1047    -0.838224706f,  0.545324988f,
1048    -0.844853565f,  0.534997620f,
1049    -0.851355193f,  0.524589683f,
1050    -0.857728610f,  0.514102744f,
1051    -0.863972856f,  0.503538384f,
1052    -0.870086991f,  0.492898192f,
1053    -0.876070094f,  0.482183772f,
1054    -0.881921264f,  0.471396737f,
1055    -0.887639620f,  0.460538711f,
1056    -0.893224301f,  0.449611330f,
1057    -0.898674466f,  0.438616239f,
1058    -0.903989293f,  0.427555093f,
1059    -0.909167983f,  0.416429560f,
1060    -0.914209756f,  0.405241314f,
1061    -0.919113852f,  0.393992040f,
1062    -0.923879533f,  0.382683432f,
1063    -0.928506080f,  0.371317194f,
1064    -0.932992799f,  0.359895037f,
1065    -0.937339012f,  0.348418680f,
1066    -0.941544065f,  0.336889853f,
1067    -0.945607325f,  0.325310292f,
1068    -0.949528181f,  0.313681740f,
1069    -0.953306040f,  0.302005949f,
1070    -0.956940336f,  0.290284677f,
1071    -0.960430519f,  0.278519689f,
1072    -0.963776066f,  0.266712757f,
1073    -0.966976471f,  0.254865660f,
1074    -0.970031253f,  0.242980180f,
1075    -0.972939952f,  0.231058108f,
1076    -0.975702130f,  0.219101240f,
1077    -0.978317371f,  0.207111376f,
1078    -0.980785280f,  0.195090322f,
1079    -0.983105487f,  0.183039888f,
1080    -0.985277642f,  0.170961889f,
1081    -0.987301418f,  0.158858143f,
1082    -0.989176510f,  0.146730474f,
1083    -0.990902635f,  0.134580709f,
1084    -0.992479535f,  0.122410675f,
1085    -0.993906970f,  0.110222207f,
1086    -0.995184727f,  0.098017140f,
1087    -0.996312612f,  0.085797312f,
1088    -0.997290457f,  0.073564564f,
1089    -0.998118113f,  0.061320736f,
1090    -0.998795456f,  0.049067674f,
1091    -0.999322385f,  0.036807223f,
1092    -0.999698819f,  0.024541229f,
1093    -0.999924702f,  0.012271538f,
1094    -1.000000000f,  0.000000000f,
1095    -0.999924702f, -0.012271538f,
1096    -0.999698819f, -0.024541229f,
1097    -0.999322385f, -0.036807223f,
1098    -0.998795456f, -0.049067674f,
1099    -0.998118113f, -0.061320736f,
1100    -0.997290457f, -0.073564564f,
1101    -0.996312612f, -0.085797312f,
1102    -0.995184727f, -0.098017140f,
1103    -0.993906970f, -0.110222207f,
1104    -0.992479535f, -0.122410675f,
1105    -0.990902635f, -0.134580709f,
1106    -0.989176510f, -0.146730474f,
1107    -0.987301418f, -0.158858143f,
1108    -0.985277642f, -0.170961889f,
1109    -0.983105487f, -0.183039888f,
1110    -0.980785280f, -0.195090322f,
1111    -0.978317371f, -0.207111376f,
1112    -0.975702130f, -0.219101240f,
1113    -0.972939952f, -0.231058108f,
1114    -0.970031253f, -0.242980180f,
1115    -0.966976471f, -0.254865660f,
1116    -0.963776066f, -0.266712757f,
1117    -0.960430519f, -0.278519689f,
1118    -0.956940336f, -0.290284677f,
1119    -0.953306040f, -0.302005949f,
1120    -0.949528181f, -0.313681740f,
1121    -0.945607325f, -0.325310292f,
1122    -0.941544065f, -0.336889853f,
1123    -0.937339012f, -0.348418680f,
1124    -0.932992799f, -0.359895037f,
1125    -0.928506080f, -0.371317194f,
1126    -0.923879533f, -0.382683432f,
1127    -0.919113852f, -0.393992040f,
1128    -0.914209756f, -0.405241314f,
1129    -0.909167983f, -0.416429560f,
1130    -0.903989293f, -0.427555093f,
1131    -0.898674466f, -0.438616239f,
1132    -0.893224301f, -0.449611330f,
1133    -0.887639620f, -0.460538711f,
1134    -0.881921264f, -0.471396737f,
1135    -0.876070094f, -0.482183772f,
1136    -0.870086991f, -0.492898192f,
1137    -0.863972856f, -0.503538384f,
1138    -0.857728610f, -0.514102744f,
1139    -0.851355193f, -0.524589683f,
1140    -0.844853565f, -0.534997620f,
1141    -0.838224706f, -0.545324988f,
1142    -0.831469612f, -0.555570233f,
1143    -0.824589303f, -0.565731811f,
1144    -0.817584813f, -0.575808191f,
1145    -0.810457198f, -0.585797857f,
1146    -0.803207531f, -0.595699304f,
1147    -0.795836905f, -0.605511041f,
1148    -0.788346428f, -0.615231591f,
1149    -0.780737229f, -0.624859488f,
1150    -0.773010453f, -0.634393284f,
1151    -0.765167266f, -0.643831543f,
1152    -0.757208847f, -0.653172843f,
1153    -0.749136395f, -0.662415778f,
1154    -0.740951125f, -0.671558955f,
1155    -0.732654272f, -0.680600998f,
1156    -0.724247083f, -0.689540545f,
1157    -0.715730825f, -0.698376249f,
1158    -0.707106781f, -0.707106781f,
1159    -0.698376249f, -0.715730825f,
1160    -0.689540545f, -0.724247083f,
1161    -0.680600998f, -0.732654272f,
1162    -0.671558955f, -0.740951125f,
1163    -0.662415778f, -0.749136395f,
1164    -0.653172843f, -0.757208847f,
1165    -0.643831543f, -0.765167266f,
1166    -0.634393284f, -0.773010453f,
1167    -0.624859488f, -0.780737229f,
1168    -0.615231591f, -0.788346428f,
1169    -0.605511041f, -0.795836905f,
1170    -0.595699304f, -0.803207531f,
1171    -0.585797857f, -0.810457198f,
1172    -0.575808191f, -0.817584813f,
1173    -0.565731811f, -0.824589303f,
1174    -0.555570233f, -0.831469612f,
1175    -0.545324988f, -0.838224706f,
1176    -0.534997620f, -0.844853565f,
1177    -0.524589683f, -0.851355193f,
1178    -0.514102744f, -0.857728610f,
1179    -0.503538384f, -0.863972856f,
1180    -0.492898192f, -0.870086991f,
1181    -0.482183772f, -0.876070094f,
1182    -0.471396737f, -0.881921264f,
1183    -0.460538711f, -0.887639620f,
1184    -0.449611330f, -0.893224301f,
1185    -0.438616239f, -0.898674466f,
1186    -0.427555093f, -0.903989293f,
1187    -0.416429560f, -0.909167983f,
1188    -0.405241314f, -0.914209756f,
1189    -0.393992040f, -0.919113852f,
1190    -0.382683432f, -0.923879533f,
1191    -0.371317194f, -0.928506080f,
1192    -0.359895037f, -0.932992799f,
1193    -0.348418680f, -0.937339012f,
1194    -0.336889853f, -0.941544065f,
1195    -0.325310292f, -0.945607325f,
1196    -0.313681740f, -0.949528181f,
1197    -0.302005949f, -0.953306040f,
1198    -0.290284677f, -0.956940336f,
1199    -0.278519689f, -0.960430519f,
1200    -0.266712757f, -0.963776066f,
1201    -0.254865660f, -0.966976471f,
1202    -0.242980180f, -0.970031253f,
1203    -0.231058108f, -0.972939952f,
1204    -0.219101240f, -0.975702130f,
1205    -0.207111376f, -0.978317371f,
1206    -0.195090322f, -0.980785280f,
1207    -0.183039888f, -0.983105487f,
1208    -0.170961889f, -0.985277642f,
1209    -0.158858143f, -0.987301418f,
1210    -0.146730474f, -0.989176510f,
1211    -0.134580709f, -0.990902635f,
1212    -0.122410675f, -0.992479535f,
1213    -0.110222207f, -0.993906970f,
1214    -0.098017140f, -0.995184727f,
1215    -0.085797312f, -0.996312612f,
1216    -0.073564564f, -0.997290457f,
1217    -0.061320736f, -0.998118113f,
1218    -0.049067674f, -0.998795456f,
1219    -0.036807223f, -0.999322385f,
1220    -0.024541229f, -0.999698819f,
1221    -0.012271538f, -0.999924702f,
1222    -0.000000000f, -1.000000000f,
1223     0.012271538f, -0.999924702f,
1224     0.024541229f, -0.999698819f,
1225     0.036807223f, -0.999322385f,
1226     0.049067674f, -0.998795456f,
1227     0.061320736f, -0.998118113f,
1228     0.073564564f, -0.997290457f,
1229     0.085797312f, -0.996312612f,
1230     0.098017140f, -0.995184727f,
1231     0.110222207f, -0.993906970f,
1232     0.122410675f, -0.992479535f,
1233     0.134580709f, -0.990902635f,
1234     0.146730474f, -0.989176510f,
1235     0.158858143f, -0.987301418f,
1236     0.170961889f, -0.985277642f,
1237     0.183039888f, -0.983105487f,
1238     0.195090322f, -0.980785280f,
1239     0.207111376f, -0.978317371f,
1240     0.219101240f, -0.975702130f,
1241     0.231058108f, -0.972939952f,
1242     0.242980180f, -0.970031253f,
1243     0.254865660f, -0.966976471f,
1244     0.266712757f, -0.963776066f,
1245     0.278519689f, -0.960430519f,
1246     0.290284677f, -0.956940336f,
1247     0.302005949f, -0.953306040f,
1248     0.313681740f, -0.949528181f,
1249     0.325310292f, -0.945607325f,
1250     0.336889853f, -0.941544065f,
1251     0.348418680f, -0.937339012f,
1252     0.359895037f, -0.932992799f,
1253     0.371317194f, -0.928506080f,
1254     0.382683432f, -0.923879533f,
1255     0.393992040f, -0.919113852f,
1256     0.405241314f, -0.914209756f,
1257     0.416429560f, -0.909167983f,
1258     0.427555093f, -0.903989293f,
1259     0.438616239f, -0.898674466f,
1260     0.449611330f, -0.893224301f,
1261     0.460538711f, -0.887639620f,
1262     0.471396737f, -0.881921264f,
1263     0.482183772f, -0.876070094f,
1264     0.492898192f, -0.870086991f,
1265     0.503538384f, -0.863972856f,
1266     0.514102744f, -0.857728610f,
1267     0.524589683f, -0.851355193f,
1268     0.534997620f, -0.844853565f,
1269     0.545324988f, -0.838224706f,
1270     0.555570233f, -0.831469612f,
1271     0.565731811f, -0.824589303f,
1272     0.575808191f, -0.817584813f,
1273     0.585797857f, -0.810457198f,
1274     0.595699304f, -0.803207531f,
1275     0.605511041f, -0.795836905f,
1276     0.615231591f, -0.788346428f,
1277     0.624859488f, -0.780737229f,
1278     0.634393284f, -0.773010453f,
1279     0.643831543f, -0.765167266f,
1280     0.653172843f, -0.757208847f,
1281     0.662415778f, -0.749136395f,
1282     0.671558955f, -0.740951125f,
1283     0.680600998f, -0.732654272f,
1284     0.689540545f, -0.724247083f,
1285     0.698376249f, -0.715730825f,
1286     0.707106781f, -0.707106781f,
1287     0.715730825f, -0.698376249f,
1288     0.724247083f, -0.689540545f,
1289     0.732654272f, -0.680600998f,
1290     0.740951125f, -0.671558955f,
1291     0.749136395f, -0.662415778f,
1292     0.757208847f, -0.653172843f,
1293     0.765167266f, -0.643831543f,
1294     0.773010453f, -0.634393284f,
1295     0.780737229f, -0.624859488f,
1296     0.788346428f, -0.615231591f,
1297     0.795836905f, -0.605511041f,
1298     0.803207531f, -0.595699304f,
1299     0.810457198f, -0.585797857f,
1300     0.817584813f, -0.575808191f,
1301     0.824589303f, -0.565731811f,
1302     0.831469612f, -0.555570233f,
1303     0.838224706f, -0.545324988f,
1304     0.844853565f, -0.534997620f,
1305     0.851355193f, -0.524589683f,
1306     0.857728610f, -0.514102744f,
1307     0.863972856f, -0.503538384f,
1308     0.870086991f, -0.492898192f,
1309     0.876070094f, -0.482183772f,
1310     0.881921264f, -0.471396737f,
1311     0.887639620f, -0.460538711f,
1312     0.893224301f, -0.449611330f,
1313     0.898674466f, -0.438616239f,
1314     0.903989293f, -0.427555093f,
1315     0.909167983f, -0.416429560f,
1316     0.914209756f, -0.405241314f,
1317     0.919113852f, -0.393992040f,
1318     0.923879533f, -0.382683432f,
1319     0.928506080f, -0.371317194f,
1320     0.932992799f, -0.359895037f,
1321     0.937339012f, -0.348418680f,
1322     0.941544065f, -0.336889853f,
1323     0.945607325f, -0.325310292f,
1324     0.949528181f, -0.313681740f,
1325     0.953306040f, -0.302005949f,
1326     0.956940336f, -0.290284677f,
1327     0.960430519f, -0.278519689f,
1328     0.963776066f, -0.266712757f,
1329     0.966976471f, -0.254865660f,
1330     0.970031253f, -0.242980180f,
1331     0.972939952f, -0.231058108f,
1332     0.975702130f, -0.219101240f,
1333     0.978317371f, -0.207111376f,
1334     0.980785280f, -0.195090322f,
1335     0.983105487f, -0.183039888f,
1336     0.985277642f, -0.170961889f,
1337     0.987301418f, -0.158858143f,
1338     0.989176510f, -0.146730474f,
1339     0.990902635f, -0.134580709f,
1340     0.992479535f, -0.122410675f,
1341     0.993906970f, -0.110222207f,
1342     0.995184727f, -0.098017140f,
1343     0.996312612f, -0.085797312f,
1344     0.997290457f, -0.073564564f,
1345     0.998118113f, -0.061320736f,
1346     0.998795456f, -0.049067674f,
1347     0.999322385f, -0.036807223f,
1348     0.999698819f, -0.024541229f,
1349     0.999924702f, -0.012271538f
1350 };
1351 /**
1352 * \par
1353 * Example code for Floating-point Twiddle factors Generation:
1354 * \par
1355 * <pre>for(i = 0; i< N/; i++)
1356 * {
1357 *       twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
1358 *       twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
1359 * } </pre>
1360 * \par
1361 * where N = 4096        and PI = 3.14159265358979
1362 * \par
1363 * Cos and Sin values are in interleaved fashion
1364 *
1365 */
1366 const float32_t twiddleCoef_1024[2048] = {
1367 1.000000000f    ,       0.000000000f    ,
1368 0.999981175f    ,       0.006135885f    ,
1369 0.999924702f    ,       0.012271538f    ,
1370 0.999830582f    ,       0.018406730f    ,
1371 0.999698819f    ,       0.024541229f    ,
1372 0.999529418f    ,       0.030674803f    ,
1373 0.999322385f    ,       0.036807223f    ,
1374 0.999077728f    ,       0.042938257f    ,
1375 0.998795456f    ,       0.049067674f    ,
1376 0.998475581f    ,       0.055195244f    ,
1377 0.998118113f    ,       0.061320736f    ,
1378 0.997723067f    ,       0.067443920f    ,
1379 0.997290457f    ,       0.073564564f    ,
1380 0.996820299f    ,       0.079682438f    ,
1381 0.996312612f    ,       0.085797312f    ,
1382 0.995767414f    ,       0.091908956f    ,
1383 0.995184727f    ,       0.098017140f    ,
1384 0.994564571f    ,       0.104121634f    ,
1385 0.993906970f    ,       0.110222207f    ,
1386 0.993211949f    ,       0.116318631f    ,
1387 0.992479535f    ,       0.122410675f    ,
1388 0.991709754f    ,       0.128498111f    ,
1389 0.990902635f    ,       0.134580709f    ,
1390 0.990058210f    ,       0.140658239f    ,
1391 0.989176510f    ,       0.146730474f    ,
1392 0.988257568f    ,       0.152797185f    ,
1393 0.987301418f    ,       0.158858143f    ,
1394 0.986308097f    ,       0.164913120f    ,
1395 0.985277642f    ,       0.170961889f    ,
1396 0.984210092f    ,       0.177004220f    ,
1397 0.983105487f    ,       0.183039888f    ,
1398 0.981963869f    ,       0.189068664f    ,
1399 0.980785280f    ,       0.195090322f    ,
1400 0.979569766f    ,       0.201104635f    ,
1401 0.978317371f    ,       0.207111376f    ,
1402 0.977028143f    ,       0.213110320f    ,
1403 0.975702130f    ,       0.219101240f    ,
1404 0.974339383f    ,       0.225083911f    ,
1405 0.972939952f    ,       0.231058108f    ,
1406 0.971503891f    ,       0.237023606f    ,
1407 0.970031253f    ,       0.242980180f    ,
1408 0.968522094f    ,       0.248927606f    ,
1409 0.966976471f    ,       0.254865660f    ,
1410 0.965394442f    ,       0.260794118f    ,
1411 0.963776066f    ,       0.266712757f    ,
1412 0.962121404f    ,       0.272621355f    ,
1413 0.960430519f    ,       0.278519689f    ,
1414 0.958703475f    ,       0.284407537f    ,
1415 0.956940336f    ,       0.290284677f    ,
1416 0.955141168f    ,       0.296150888f    ,
1417 0.953306040f    ,       0.302005949f    ,
1418 0.951435021f    ,       0.307849640f    ,
1419 0.949528181f    ,       0.313681740f    ,
1420 0.947585591f    ,       0.319502031f    ,
1421 0.945607325f    ,       0.325310292f    ,
1422 0.943593458f    ,       0.331106306f    ,
1423 0.941544065f    ,       0.336889853f    ,
1424 0.939459224f    ,       0.342660717f    ,
1425 0.937339012f    ,       0.348418680f    ,
1426 0.935183510f    ,       0.354163525f    ,
1427 0.932992799f    ,       0.359895037f    ,
1428 0.930766961f    ,       0.365612998f    ,
1429 0.928506080f    ,       0.371317194f    ,
1430 0.926210242f    ,       0.377007410f    ,
1431 0.923879533f    ,       0.382683432f    ,
1432 0.921514039f    ,       0.388345047f    ,
1433 0.919113852f    ,       0.393992040f    ,
1434 0.916679060f    ,       0.399624200f    ,
1435 0.914209756f    ,       0.405241314f    ,
1436 0.911706032f    ,       0.410843171f    ,
1437 0.909167983f    ,       0.416429560f    ,
1438 0.906595705f    ,       0.422000271f    ,
1439 0.903989293f    ,       0.427555093f    ,
1440 0.901348847f    ,       0.433093819f    ,
1441 0.898674466f    ,       0.438616239f    ,
1442 0.895966250f    ,       0.444122145f    ,
1443 0.893224301f    ,       0.449611330f    ,
1444 0.890448723f    ,       0.455083587f    ,
1445 0.887639620f    ,       0.460538711f    ,
1446 0.884797098f    ,       0.465976496f    ,
1447 0.881921264f    ,       0.471396737f    ,
1448 0.879012226f    ,       0.476799230f    ,
1449 0.876070094f    ,       0.482183772f    ,
1450 0.873094978f    ,       0.487550160f    ,
1451 0.870086991f    ,       0.492898192f    ,
1452 0.867046246f    ,       0.498227667f    ,
1453 0.863972856f    ,       0.503538384f    ,
1454 0.860866939f    ,       0.508830143f    ,
1455 0.857728610f    ,       0.514102744f    ,
1456 0.854557988f    ,       0.519355990f    ,
1457 0.851355193f    ,       0.524589683f    ,
1458 0.848120345f    ,       0.529803625f    ,
1459 0.844853565f    ,       0.534997620f    ,
1460 0.841554977f    ,       0.540171473f    ,
1461 0.838224706f    ,       0.545324988f    ,
1462 0.834862875f    ,       0.550457973f    ,
1463 0.831469612f    ,       0.555570233f    ,
1464 0.828045045f    ,       0.560661576f    ,
1465 0.824589303f    ,       0.565731811f    ,
1466 0.821102515f    ,       0.570780746f    ,
1467 0.817584813f    ,       0.575808191f    ,
1468 0.814036330f    ,       0.580813958f    ,
1469 0.810457198f    ,       0.585797857f    ,
1470 0.806847554f    ,       0.590759702f    ,
1471 0.803207531f    ,       0.595699304f    ,
1472 0.799537269f    ,       0.600616479f    ,
1473 0.795836905f    ,       0.605511041f    ,
1474 0.792106577f    ,       0.610382806f    ,
1475 0.788346428f    ,       0.615231591f    ,
1476 0.784556597f    ,       0.620057212f    ,
1477 0.780737229f    ,       0.624859488f    ,
1478 0.776888466f    ,       0.629638239f    ,
1479 0.773010453f    ,       0.634393284f    ,
1480 0.769103338f    ,       0.639124445f    ,
1481 0.765167266f    ,       0.643831543f    ,
1482 0.761202385f    ,       0.648514401f    ,
1483 0.757208847f    ,       0.653172843f    ,
1484 0.753186799f    ,       0.657806693f    ,
1485 0.749136395f    ,       0.662415778f    ,
1486 0.745057785f    ,       0.666999922f    ,
1487 0.740951125f    ,       0.671558955f    ,
1488 0.736816569f    ,       0.676092704f    ,
1489 0.732654272f    ,       0.680600998f    ,
1490 0.728464390f    ,       0.685083668f    ,
1491 0.724247083f    ,       0.689540545f    ,
1492 0.720002508f    ,       0.693971461f    ,
1493 0.715730825f    ,       0.698376249f    ,
1494 0.711432196f    ,       0.702754744f    ,
1495 0.707106781f    ,       0.707106781f    ,
1496 0.702754744f    ,       0.711432196f    ,
1497 0.698376249f    ,       0.715730825f    ,
1498 0.693971461f    ,       0.720002508f    ,
1499 0.689540545f    ,       0.724247083f    ,
1500 0.685083668f    ,       0.728464390f    ,
1501 0.680600998f    ,       0.732654272f    ,
1502 0.676092704f    ,       0.736816569f    ,
1503 0.671558955f    ,       0.740951125f    ,
1504 0.666999922f    ,       0.745057785f    ,
1505 0.662415778f    ,       0.749136395f    ,
1506 0.657806693f    ,       0.753186799f    ,
1507 0.653172843f    ,       0.757208847f    ,
1508 0.648514401f    ,       0.761202385f    ,
1509 0.643831543f    ,       0.765167266f    ,
1510 0.639124445f    ,       0.769103338f    ,
1511 0.634393284f    ,       0.773010453f    ,
1512 0.629638239f    ,       0.776888466f    ,
1513 0.624859488f    ,       0.780737229f    ,
1514 0.620057212f    ,       0.784556597f    ,
1515 0.615231591f    ,       0.788346428f    ,
1516 0.610382806f    ,       0.792106577f    ,
1517 0.605511041f    ,       0.795836905f    ,
1518 0.600616479f    ,       0.799537269f    ,
1519 0.595699304f    ,       0.803207531f    ,
1520 0.590759702f    ,       0.806847554f    ,
1521 0.585797857f    ,       0.810457198f    ,
1522 0.580813958f    ,       0.814036330f    ,
1523 0.575808191f    ,       0.817584813f    ,
1524 0.570780746f    ,       0.821102515f    ,
1525 0.565731811f    ,       0.824589303f    ,
1526 0.560661576f    ,       0.828045045f    ,
1527 0.555570233f    ,       0.831469612f    ,
1528 0.550457973f    ,       0.834862875f    ,
1529 0.545324988f    ,       0.838224706f    ,
1530 0.540171473f    ,       0.841554977f    ,
1531 0.534997620f    ,       0.844853565f    ,
1532 0.529803625f    ,       0.848120345f    ,
1533 0.524589683f    ,       0.851355193f    ,
1534 0.519355990f    ,       0.854557988f    ,
1535 0.514102744f    ,       0.857728610f    ,
1536 0.508830143f    ,       0.860866939f    ,
1537 0.503538384f    ,       0.863972856f    ,
1538 0.498227667f    ,       0.867046246f    ,
1539 0.492898192f    ,       0.870086991f    ,
1540 0.487550160f    ,       0.873094978f    ,
1541 0.482183772f    ,       0.876070094f    ,
1542 0.476799230f    ,       0.879012226f    ,
1543 0.471396737f    ,       0.881921264f    ,
1544 0.465976496f    ,       0.884797098f    ,
1545 0.460538711f    ,       0.887639620f    ,
1546 0.455083587f    ,       0.890448723f    ,
1547 0.449611330f    ,       0.893224301f    ,
1548 0.444122145f    ,       0.895966250f    ,
1549 0.438616239f    ,       0.898674466f    ,
1550 0.433093819f    ,       0.901348847f    ,
1551 0.427555093f    ,       0.903989293f    ,
1552 0.422000271f    ,       0.906595705f    ,
1553 0.416429560f    ,       0.909167983f    ,
1554 0.410843171f    ,       0.911706032f    ,
1555 0.405241314f    ,       0.914209756f    ,
1556 0.399624200f    ,       0.916679060f    ,
1557 0.393992040f    ,       0.919113852f    ,
1558 0.388345047f    ,       0.921514039f    ,
1559 0.382683432f    ,       0.923879533f    ,
1560 0.377007410f    ,       0.926210242f    ,
1561 0.371317194f    ,       0.928506080f    ,
1562 0.365612998f    ,       0.930766961f    ,
1563 0.359895037f    ,       0.932992799f    ,
1564 0.354163525f    ,       0.935183510f    ,
1565 0.348418680f    ,       0.937339012f    ,
1566 0.342660717f    ,       0.939459224f    ,
1567 0.336889853f    ,       0.941544065f    ,
1568 0.331106306f    ,       0.943593458f    ,
1569 0.325310292f    ,       0.945607325f    ,
1570 0.319502031f    ,       0.947585591f    ,
1571 0.313681740f    ,       0.949528181f    ,
1572 0.307849640f    ,       0.951435021f    ,
1573 0.302005949f    ,       0.953306040f    ,
1574 0.296150888f    ,       0.955141168f    ,
1575 0.290284677f    ,       0.956940336f    ,
1576 0.284407537f    ,       0.958703475f    ,
1577 0.278519689f    ,       0.960430519f    ,
1578 0.272621355f    ,       0.962121404f    ,
1579 0.266712757f    ,       0.963776066f    ,
1580 0.260794118f    ,       0.965394442f    ,
1581 0.254865660f    ,       0.966976471f    ,
1582 0.248927606f    ,       0.968522094f    ,
1583 0.242980180f    ,       0.970031253f    ,
1584 0.237023606f    ,       0.971503891f    ,
1585 0.231058108f    ,       0.972939952f    ,
1586 0.225083911f    ,       0.974339383f    ,
1587 0.219101240f    ,       0.975702130f    ,
1588 0.213110320f    ,       0.977028143f    ,
1589 0.207111376f    ,       0.978317371f    ,
1590 0.201104635f    ,       0.979569766f    ,
1591 0.195090322f    ,       0.980785280f    ,
1592 0.189068664f    ,       0.981963869f    ,
1593 0.183039888f    ,       0.983105487f    ,
1594 0.177004220f    ,       0.984210092f    ,
1595 0.170961889f    ,       0.985277642f    ,
1596 0.164913120f    ,       0.986308097f    ,
1597 0.158858143f    ,       0.987301418f    ,
1598 0.152797185f    ,       0.988257568f    ,
1599 0.146730474f    ,       0.989176510f    ,
1600 0.140658239f    ,       0.990058210f    ,
1601 0.134580709f    ,       0.990902635f    ,
1602 0.128498111f    ,       0.991709754f    ,
1603 0.122410675f    ,       0.992479535f    ,
1604 0.116318631f    ,       0.993211949f    ,
1605 0.110222207f    ,       0.993906970f    ,
1606 0.104121634f    ,       0.994564571f    ,
1607 0.098017140f    ,       0.995184727f    ,
1608 0.091908956f    ,       0.995767414f    ,
1609 0.085797312f    ,       0.996312612f    ,
1610 0.079682438f    ,       0.996820299f    ,
1611 0.073564564f    ,       0.997290457f    ,
1612 0.067443920f    ,       0.997723067f    ,
1613 0.061320736f    ,       0.998118113f    ,
1614 0.055195244f    ,       0.998475581f    ,
1615 0.049067674f    ,       0.998795456f    ,
1616 0.042938257f    ,       0.999077728f    ,
1617 0.036807223f    ,       0.999322385f    ,
1618 0.030674803f    ,       0.999529418f    ,
1619 0.024541229f    ,       0.999698819f    ,
1620 0.018406730f    ,       0.999830582f    ,
1621 0.012271538f    ,       0.999924702f    ,
1622 0.006135885f    ,       0.999981175f    ,
1623 0.000000000f    ,       1.000000000f    ,
1624 -0.006135885f   ,       0.999981175f    ,
1625 -0.012271538f   ,       0.999924702f    ,
1626 -0.018406730f   ,       0.999830582f    ,
1627 -0.024541229f   ,       0.999698819f    ,
1628 -0.030674803f   ,       0.999529418f    ,
1629 -0.036807223f   ,       0.999322385f    ,
1630 -0.042938257f   ,       0.999077728f    ,
1631 -0.049067674f   ,       0.998795456f    ,
1632 -0.055195244f   ,       0.998475581f    ,
1633 -0.061320736f   ,       0.998118113f    ,
1634 -0.067443920f   ,       0.997723067f    ,
1635 -0.073564564f   ,       0.997290457f    ,
1636 -0.079682438f   ,       0.996820299f    ,
1637 -0.085797312f   ,       0.996312612f    ,
1638 -0.091908956f   ,       0.995767414f    ,
1639 -0.098017140f   ,       0.995184727f    ,
1640 -0.104121634f   ,       0.994564571f    ,
1641 -0.110222207f   ,       0.993906970f    ,
1642 -0.116318631f   ,       0.993211949f    ,
1643 -0.122410675f   ,       0.992479535f    ,
1644 -0.128498111f   ,       0.991709754f    ,
1645 -0.134580709f   ,       0.990902635f    ,
1646 -0.140658239f   ,       0.990058210f    ,
1647 -0.146730474f   ,       0.989176510f    ,
1648 -0.152797185f   ,       0.988257568f    ,
1649 -0.158858143f   ,       0.987301418f    ,
1650 -0.164913120f   ,       0.986308097f    ,
1651 -0.170961889f   ,       0.985277642f    ,
1652 -0.177004220f   ,       0.984210092f    ,
1653 -0.183039888f   ,       0.983105487f    ,
1654 -0.189068664f   ,       0.981963869f    ,
1655 -0.195090322f   ,       0.980785280f    ,
1656 -0.201104635f   ,       0.979569766f    ,
1657 -0.207111376f   ,       0.978317371f    ,
1658 -0.213110320f   ,       0.977028143f    ,
1659 -0.219101240f   ,       0.975702130f    ,
1660 -0.225083911f   ,       0.974339383f    ,
1661 -0.231058108f   ,       0.972939952f    ,
1662 -0.237023606f   ,       0.971503891f    ,
1663 -0.242980180f   ,       0.970031253f    ,
1664 -0.248927606f   ,       0.968522094f    ,
1665 -0.254865660f   ,       0.966976471f    ,
1666 -0.260794118f   ,       0.965394442f    ,
1667 -0.266712757f   ,       0.963776066f    ,
1668 -0.272621355f   ,       0.962121404f    ,
1669 -0.278519689f   ,       0.960430519f    ,
1670 -0.284407537f   ,       0.958703475f    ,
1671 -0.290284677f   ,       0.956940336f    ,
1672 -0.296150888f   ,       0.955141168f    ,
1673 -0.302005949f   ,       0.953306040f    ,
1674 -0.307849640f   ,       0.951435021f    ,
1675 -0.313681740f   ,       0.949528181f    ,
1676 -0.319502031f   ,       0.947585591f    ,
1677 -0.325310292f   ,       0.945607325f    ,
1678 -0.331106306f   ,       0.943593458f    ,
1679 -0.336889853f   ,       0.941544065f    ,
1680 -0.342660717f   ,       0.939459224f    ,
1681 -0.348418680f   ,       0.937339012f    ,
1682 -0.354163525f   ,       0.935183510f    ,
1683 -0.359895037f   ,       0.932992799f    ,
1684 -0.365612998f   ,       0.930766961f    ,
1685 -0.371317194f   ,       0.928506080f    ,
1686 -0.377007410f   ,       0.926210242f    ,
1687 -0.382683432f   ,       0.923879533f    ,
1688 -0.388345047f   ,       0.921514039f    ,
1689 -0.393992040f   ,       0.919113852f    ,
1690 -0.399624200f   ,       0.916679060f    ,
1691 -0.405241314f   ,       0.914209756f    ,
1692 -0.410843171f   ,       0.911706032f    ,
1693 -0.416429560f   ,       0.909167983f    ,
1694 -0.422000271f   ,       0.906595705f    ,
1695 -0.427555093f   ,       0.903989293f    ,
1696 -0.433093819f   ,       0.901348847f    ,
1697 -0.438616239f   ,       0.898674466f    ,
1698 -0.444122145f   ,       0.895966250f    ,
1699 -0.449611330f   ,       0.893224301f    ,
1700 -0.455083587f   ,       0.890448723f    ,
1701 -0.460538711f   ,       0.887639620f    ,
1702 -0.465976496f   ,       0.884797098f    ,
1703 -0.471396737f   ,       0.881921264f    ,
1704 -0.476799230f   ,       0.879012226f    ,
1705 -0.482183772f   ,       0.876070094f    ,
1706 -0.487550160f   ,       0.873094978f    ,
1707 -0.492898192f   ,       0.870086991f    ,
1708 -0.498227667f   ,       0.867046246f    ,
1709 -0.503538384f   ,       0.863972856f    ,
1710 -0.508830143f   ,       0.860866939f    ,
1711 -0.514102744f   ,       0.857728610f    ,
1712 -0.519355990f   ,       0.854557988f    ,
1713 -0.524589683f   ,       0.851355193f    ,
1714 -0.529803625f   ,       0.848120345f    ,
1715 -0.534997620f   ,       0.844853565f    ,
1716 -0.540171473f   ,       0.841554977f    ,
1717 -0.545324988f   ,       0.838224706f    ,
1718 -0.550457973f   ,       0.834862875f    ,
1719 -0.555570233f   ,       0.831469612f    ,
1720 -0.560661576f   ,       0.828045045f    ,
1721 -0.565731811f   ,       0.824589303f    ,
1722 -0.570780746f   ,       0.821102515f    ,
1723 -0.575808191f   ,       0.817584813f    ,
1724 -0.580813958f   ,       0.814036330f    ,
1725 -0.585797857f   ,       0.810457198f    ,
1726 -0.590759702f   ,       0.806847554f    ,
1727 -0.595699304f   ,       0.803207531f    ,
1728 -0.600616479f   ,       0.799537269f    ,
1729 -0.605511041f   ,       0.795836905f    ,
1730 -0.610382806f   ,       0.792106577f    ,
1731 -0.615231591f   ,       0.788346428f    ,
1732 -0.620057212f   ,       0.784556597f    ,
1733 -0.624859488f   ,       0.780737229f    ,
1734 -0.629638239f   ,       0.776888466f    ,
1735 -0.634393284f   ,       0.773010453f    ,
1736 -0.639124445f   ,       0.769103338f    ,
1737 -0.643831543f   ,       0.765167266f    ,
1738 -0.648514401f   ,       0.761202385f    ,
1739 -0.653172843f   ,       0.757208847f    ,
1740 -0.657806693f   ,       0.753186799f    ,
1741 -0.662415778f   ,       0.749136395f    ,
1742 -0.666999922f   ,       0.745057785f    ,
1743 -0.671558955f   ,       0.740951125f    ,
1744 -0.676092704f   ,       0.736816569f    ,
1745 -0.680600998f   ,       0.732654272f    ,
1746 -0.685083668f   ,       0.728464390f    ,
1747 -0.689540545f   ,       0.724247083f    ,
1748 -0.693971461f   ,       0.720002508f    ,
1749 -0.698376249f   ,       0.715730825f    ,
1750 -0.702754744f   ,       0.711432196f    ,
1751 -0.707106781f   ,       0.707106781f    ,
1752 -0.711432196f   ,       0.702754744f    ,
1753 -0.715730825f   ,       0.698376249f    ,
1754 -0.720002508f   ,       0.693971461f    ,
1755 -0.724247083f   ,       0.689540545f    ,
1756 -0.728464390f   ,       0.685083668f    ,
1757 -0.732654272f   ,       0.680600998f    ,
1758 -0.736816569f   ,       0.676092704f    ,
1759 -0.740951125f   ,       0.671558955f    ,
1760 -0.745057785f   ,       0.666999922f    ,
1761 -0.749136395f   ,       0.662415778f    ,
1762 -0.753186799f   ,       0.657806693f    ,
1763 -0.757208847f   ,       0.653172843f    ,
1764 -0.761202385f   ,       0.648514401f    ,
1765 -0.765167266f   ,       0.643831543f    ,
1766 -0.769103338f   ,       0.639124445f    ,
1767 -0.773010453f   ,       0.634393284f    ,
1768 -0.776888466f   ,       0.629638239f    ,
1769 -0.780737229f   ,       0.624859488f    ,
1770 -0.784556597f   ,       0.620057212f    ,
1771 -0.788346428f   ,       0.615231591f    ,
1772 -0.792106577f   ,       0.610382806f    ,
1773 -0.795836905f   ,       0.605511041f    ,
1774 -0.799537269f   ,       0.600616479f    ,
1775 -0.803207531f   ,       0.595699304f    ,
1776 -0.806847554f   ,       0.590759702f    ,
1777 -0.810457198f   ,       0.585797857f    ,
1778 -0.814036330f   ,       0.580813958f    ,
1779 -0.817584813f   ,       0.575808191f    ,
1780 -0.821102515f   ,       0.570780746f    ,
1781 -0.824589303f   ,       0.565731811f    ,
1782 -0.828045045f   ,       0.560661576f    ,
1783 -0.831469612f   ,       0.555570233f    ,
1784 -0.834862875f   ,       0.550457973f    ,
1785 -0.838224706f   ,       0.545324988f    ,
1786 -0.841554977f   ,       0.540171473f    ,
1787 -0.844853565f   ,       0.534997620f    ,
1788 -0.848120345f   ,       0.529803625f    ,
1789 -0.851355193f   ,       0.524589683f    ,
1790 -0.854557988f   ,       0.519355990f    ,
1791 -0.857728610f   ,       0.514102744f    ,
1792 -0.860866939f   ,       0.508830143f    ,
1793 -0.863972856f   ,       0.503538384f    ,
1794 -0.867046246f   ,       0.498227667f    ,
1795 -0.870086991f   ,       0.492898192f    ,
1796 -0.873094978f   ,       0.487550160f    ,
1797 -0.876070094f   ,       0.482183772f    ,
1798 -0.879012226f   ,       0.476799230f    ,
1799 -0.881921264f   ,       0.471396737f    ,
1800 -0.884797098f   ,       0.465976496f    ,
1801 -0.887639620f   ,       0.460538711f    ,
1802 -0.890448723f   ,       0.455083587f    ,
1803 -0.893224301f   ,       0.449611330f    ,
1804 -0.895966250f   ,       0.444122145f    ,
1805 -0.898674466f   ,       0.438616239f    ,
1806 -0.901348847f   ,       0.433093819f    ,
1807 -0.903989293f   ,       0.427555093f    ,
1808 -0.906595705f   ,       0.422000271f    ,
1809 -0.909167983f   ,       0.416429560f    ,
1810 -0.911706032f   ,       0.410843171f    ,
1811 -0.914209756f   ,       0.405241314f    ,
1812 -0.916679060f   ,       0.399624200f    ,
1813 -0.919113852f   ,       0.393992040f    ,
1814 -0.921514039f   ,       0.388345047f    ,
1815 -0.923879533f   ,       0.382683432f    ,
1816 -0.926210242f   ,       0.377007410f    ,
1817 -0.928506080f   ,       0.371317194f    ,
1818 -0.930766961f   ,       0.365612998f    ,
1819 -0.932992799f   ,       0.359895037f    ,
1820 -0.935183510f   ,       0.354163525f    ,
1821 -0.937339012f   ,       0.348418680f    ,
1822 -0.939459224f   ,       0.342660717f    ,
1823 -0.941544065f   ,       0.336889853f    ,
1824 -0.943593458f   ,       0.331106306f    ,
1825 -0.945607325f   ,       0.325310292f    ,
1826 -0.947585591f   ,       0.319502031f    ,
1827 -0.949528181f   ,       0.313681740f    ,
1828 -0.951435021f   ,       0.307849640f    ,
1829 -0.953306040f   ,       0.302005949f    ,
1830 -0.955141168f   ,       0.296150888f    ,
1831 -0.956940336f   ,       0.290284677f    ,
1832 -0.958703475f   ,       0.284407537f    ,
1833 -0.960430519f   ,       0.278519689f    ,
1834 -0.962121404f   ,       0.272621355f    ,
1835 -0.963776066f   ,       0.266712757f    ,
1836 -0.965394442f   ,       0.260794118f    ,
1837 -0.966976471f   ,       0.254865660f    ,
1838 -0.968522094f   ,       0.248927606f    ,
1839 -0.970031253f   ,       0.242980180f    ,
1840 -0.971503891f   ,       0.237023606f    ,
1841 -0.972939952f   ,       0.231058108f    ,
1842 -0.974339383f   ,       0.225083911f    ,
1843 -0.975702130f   ,       0.219101240f    ,
1844 -0.977028143f   ,       0.213110320f    ,
1845 -0.978317371f   ,       0.207111376f    ,
1846 -0.979569766f   ,       0.201104635f    ,
1847 -0.980785280f   ,       0.195090322f    ,
1848 -0.981963869f   ,       0.189068664f    ,
1849 -0.983105487f   ,       0.183039888f    ,
1850 -0.984210092f   ,       0.177004220f    ,
1851 -0.985277642f   ,       0.170961889f    ,
1852 -0.986308097f   ,       0.164913120f    ,
1853 -0.987301418f   ,       0.158858143f    ,
1854 -0.988257568f   ,       0.152797185f    ,
1855 -0.989176510f   ,       0.146730474f    ,
1856 -0.990058210f   ,       0.140658239f    ,
1857 -0.990902635f   ,       0.134580709f    ,
1858 -0.991709754f   ,       0.128498111f    ,
1859 -0.992479535f   ,       0.122410675f    ,
1860 -0.993211949f   ,       0.116318631f    ,
1861 -0.993906970f   ,       0.110222207f    ,
1862 -0.994564571f   ,       0.104121634f    ,
1863 -0.995184727f   ,       0.098017140f    ,
1864 -0.995767414f   ,       0.091908956f    ,
1865 -0.996312612f   ,       0.085797312f    ,
1866 -0.996820299f   ,       0.079682438f    ,
1867 -0.997290457f   ,       0.073564564f    ,
1868 -0.997723067f   ,       0.067443920f    ,
1869 -0.998118113f   ,       0.061320736f    ,
1870 -0.998475581f   ,       0.055195244f    ,
1871 -0.998795456f   ,       0.049067674f    ,
1872 -0.999077728f   ,       0.042938257f    ,
1873 -0.999322385f   ,       0.036807223f    ,
1874 -0.999529418f   ,       0.030674803f    ,
1875 -0.999698819f   ,       0.024541229f    ,
1876 -0.999830582f   ,       0.018406730f    ,
1877 -0.999924702f   ,       0.012271538f    ,
1878 -0.999981175f   ,       0.006135885f    ,
1879 -1.000000000f   ,       0.000000000f    ,
1880 -0.999981175f   ,       -0.006135885f   ,
1881 -0.999924702f   ,       -0.012271538f   ,
1882 -0.999830582f   ,       -0.018406730f   ,
1883 -0.999698819f   ,       -0.024541229f   ,
1884 -0.999529418f   ,       -0.030674803f   ,
1885 -0.999322385f   ,       -0.036807223f   ,
1886 -0.999077728f   ,       -0.042938257f   ,
1887 -0.998795456f   ,       -0.049067674f   ,
1888 -0.998475581f   ,       -0.055195244f   ,
1889 -0.998118113f   ,       -0.061320736f   ,
1890 -0.997723067f   ,       -0.067443920f   ,
1891 -0.997290457f   ,       -0.073564564f   ,
1892 -0.996820299f   ,       -0.079682438f   ,
1893 -0.996312612f   ,       -0.085797312f   ,
1894 -0.995767414f   ,       -0.091908956f   ,
1895 -0.995184727f   ,       -0.098017140f   ,
1896 -0.994564571f   ,       -0.104121634f   ,
1897 -0.993906970f   ,       -0.110222207f   ,
1898 -0.993211949f   ,       -0.116318631f   ,
1899 -0.992479535f   ,       -0.122410675f   ,
1900 -0.991709754f   ,       -0.128498111f   ,
1901 -0.990902635f   ,       -0.134580709f   ,
1902 -0.990058210f   ,       -0.140658239f   ,
1903 -0.989176510f   ,       -0.146730474f   ,
1904 -0.988257568f   ,       -0.152797185f   ,
1905 -0.987301418f   ,       -0.158858143f   ,
1906 -0.986308097f   ,       -0.164913120f   ,
1907 -0.985277642f   ,       -0.170961889f   ,
1908 -0.984210092f   ,       -0.177004220f   ,
1909 -0.983105487f   ,       -0.183039888f   ,
1910 -0.981963869f   ,       -0.189068664f   ,
1911 -0.980785280f   ,       -0.195090322f   ,
1912 -0.979569766f   ,       -0.201104635f   ,
1913 -0.978317371f   ,       -0.207111376f   ,
1914 -0.977028143f   ,       -0.213110320f   ,
1915 -0.975702130f   ,       -0.219101240f   ,
1916 -0.974339383f   ,       -0.225083911f   ,
1917 -0.972939952f   ,       -0.231058108f   ,
1918 -0.971503891f   ,       -0.237023606f   ,
1919 -0.970031253f   ,       -0.242980180f   ,
1920 -0.968522094f   ,       -0.248927606f   ,
1921 -0.966976471f   ,       -0.254865660f   ,
1922 -0.965394442f   ,       -0.260794118f   ,
1923 -0.963776066f   ,       -0.266712757f   ,
1924 -0.962121404f   ,       -0.272621355f   ,
1925 -0.960430519f   ,       -0.278519689f   ,
1926 -0.958703475f   ,       -0.284407537f   ,
1927 -0.956940336f   ,       -0.290284677f   ,
1928 -0.955141168f   ,       -0.296150888f   ,
1929 -0.953306040f   ,       -0.302005949f   ,
1930 -0.951435021f   ,       -0.307849640f   ,
1931 -0.949528181f   ,       -0.313681740f   ,
1932 -0.947585591f   ,       -0.319502031f   ,
1933 -0.945607325f   ,       -0.325310292f   ,
1934 -0.943593458f   ,       -0.331106306f   ,
1935 -0.941544065f   ,       -0.336889853f   ,
1936 -0.939459224f   ,       -0.342660717f   ,
1937 -0.937339012f   ,       -0.348418680f   ,
1938 -0.935183510f   ,       -0.354163525f   ,
1939 -0.932992799f   ,       -0.359895037f   ,
1940 -0.930766961f   ,       -0.365612998f   ,
1941 -0.928506080f   ,       -0.371317194f   ,
1942 -0.926210242f   ,       -0.377007410f   ,
1943 -0.923879533f   ,       -0.382683432f   ,
1944 -0.921514039f   ,       -0.388345047f   ,
1945 -0.919113852f   ,       -0.393992040f   ,
1946 -0.916679060f   ,       -0.399624200f   ,
1947 -0.914209756f   ,       -0.405241314f   ,
1948 -0.911706032f   ,       -0.410843171f   ,
1949 -0.909167983f   ,       -0.416429560f   ,
1950 -0.906595705f   ,       -0.422000271f   ,
1951 -0.903989293f   ,       -0.427555093f   ,
1952 -0.901348847f   ,       -0.433093819f   ,
1953 -0.898674466f   ,       -0.438616239f   ,
1954 -0.895966250f   ,       -0.444122145f   ,
1955 -0.893224301f   ,       -0.449611330f   ,
1956 -0.890448723f   ,       -0.455083587f   ,
1957 -0.887639620f   ,       -0.460538711f   ,
1958 -0.884797098f   ,       -0.465976496f   ,
1959 -0.881921264f   ,       -0.471396737f   ,
1960 -0.879012226f   ,       -0.476799230f   ,
1961 -0.876070094f   ,       -0.482183772f   ,
1962 -0.873094978f   ,       -0.487550160f   ,
1963 -0.870086991f   ,       -0.492898192f   ,
1964 -0.867046246f   ,       -0.498227667f   ,
1965 -0.863972856f   ,       -0.503538384f   ,
1966 -0.860866939f   ,       -0.508830143f   ,
1967 -0.857728610f   ,       -0.514102744f   ,
1968 -0.854557988f   ,       -0.519355990f   ,
1969 -0.851355193f   ,       -0.524589683f   ,
1970 -0.848120345f   ,       -0.529803625f   ,
1971 -0.844853565f   ,       -0.534997620f   ,
1972 -0.841554977f   ,       -0.540171473f   ,
1973 -0.838224706f   ,       -0.545324988f   ,
1974 -0.834862875f   ,       -0.550457973f   ,
1975 -0.831469612f   ,       -0.555570233f   ,
1976 -0.828045045f   ,       -0.560661576f   ,
1977 -0.824589303f   ,       -0.565731811f   ,
1978 -0.821102515f   ,       -0.570780746f   ,
1979 -0.817584813f   ,       -0.575808191f   ,
1980 -0.814036330f   ,       -0.580813958f   ,
1981 -0.810457198f   ,       -0.585797857f   ,
1982 -0.806847554f   ,       -0.590759702f   ,
1983 -0.803207531f   ,       -0.595699304f   ,
1984 -0.799537269f   ,       -0.600616479f   ,
1985 -0.795836905f   ,       -0.605511041f   ,
1986 -0.792106577f   ,       -0.610382806f   ,
1987 -0.788346428f   ,       -0.615231591f   ,
1988 -0.784556597f   ,       -0.620057212f   ,
1989 -0.780737229f   ,       -0.624859488f   ,
1990 -0.776888466f   ,       -0.629638239f   ,
1991 -0.773010453f   ,       -0.634393284f   ,
1992 -0.769103338f   ,       -0.639124445f   ,
1993 -0.765167266f   ,       -0.643831543f   ,
1994 -0.761202385f   ,       -0.648514401f   ,
1995 -0.757208847f   ,       -0.653172843f   ,
1996 -0.753186799f   ,       -0.657806693f   ,
1997 -0.749136395f   ,       -0.662415778f   ,
1998 -0.745057785f   ,       -0.666999922f   ,
1999 -0.740951125f   ,       -0.671558955f   ,
2000 -0.736816569f   ,       -0.676092704f   ,
2001 -0.732654272f   ,       -0.680600998f   ,
2002 -0.728464390f   ,       -0.685083668f   ,
2003 -0.724247083f   ,       -0.689540545f   ,
2004 -0.720002508f   ,       -0.693971461f   ,
2005 -0.715730825f   ,       -0.698376249f   ,
2006 -0.711432196f   ,       -0.702754744f   ,
2007 -0.707106781f   ,       -0.707106781f   ,
2008 -0.702754744f   ,       -0.711432196f   ,
2009 -0.698376249f   ,       -0.715730825f   ,
2010 -0.693971461f   ,       -0.720002508f   ,
2011 -0.689540545f   ,       -0.724247083f   ,
2012 -0.685083668f   ,       -0.728464390f   ,
2013 -0.680600998f   ,       -0.732654272f   ,
2014 -0.676092704f   ,       -0.736816569f   ,
2015 -0.671558955f   ,       -0.740951125f   ,
2016 -0.666999922f   ,       -0.745057785f   ,
2017 -0.662415778f   ,       -0.749136395f   ,
2018 -0.657806693f   ,       -0.753186799f   ,
2019 -0.653172843f   ,       -0.757208847f   ,
2020 -0.648514401f   ,       -0.761202385f   ,
2021 -0.643831543f   ,       -0.765167266f   ,
2022 -0.639124445f   ,       -0.769103338f   ,
2023 -0.634393284f   ,       -0.773010453f   ,
2024 -0.629638239f   ,       -0.776888466f   ,
2025 -0.624859488f   ,       -0.780737229f   ,
2026 -0.620057212f   ,       -0.784556597f   ,
2027 -0.615231591f   ,       -0.788346428f   ,
2028 -0.610382806f   ,       -0.792106577f   ,
2029 -0.605511041f   ,       -0.795836905f   ,
2030 -0.600616479f   ,       -0.799537269f   ,
2031 -0.595699304f   ,       -0.803207531f   ,
2032 -0.590759702f   ,       -0.806847554f   ,
2033 -0.585797857f   ,       -0.810457198f   ,
2034 -0.580813958f   ,       -0.814036330f   ,
2035 -0.575808191f   ,       -0.817584813f   ,
2036 -0.570780746f   ,       -0.821102515f   ,
2037 -0.565731811f   ,       -0.824589303f   ,
2038 -0.560661576f   ,       -0.828045045f   ,
2039 -0.555570233f   ,       -0.831469612f   ,
2040 -0.550457973f   ,       -0.834862875f   ,
2041 -0.545324988f   ,       -0.838224706f   ,
2042 -0.540171473f   ,       -0.841554977f   ,
2043 -0.534997620f   ,       -0.844853565f   ,
2044 -0.529803625f   ,       -0.848120345f   ,
2045 -0.524589683f   ,       -0.851355193f   ,
2046 -0.519355990f   ,       -0.854557988f   ,
2047 -0.514102744f   ,       -0.857728610f   ,
2048 -0.508830143f   ,       -0.860866939f   ,
2049 -0.503538384f   ,       -0.863972856f   ,
2050 -0.498227667f   ,       -0.867046246f   ,
2051 -0.492898192f   ,       -0.870086991f   ,
2052 -0.487550160f   ,       -0.873094978f   ,
2053 -0.482183772f   ,       -0.876070094f   ,
2054 -0.476799230f   ,       -0.879012226f   ,
2055 -0.471396737f   ,       -0.881921264f   ,
2056 -0.465976496f   ,       -0.884797098f   ,
2057 -0.460538711f   ,       -0.887639620f   ,
2058 -0.455083587f   ,       -0.890448723f   ,
2059 -0.449611330f   ,       -0.893224301f   ,
2060 -0.444122145f   ,       -0.895966250f   ,
2061 -0.438616239f   ,       -0.898674466f   ,
2062 -0.433093819f   ,       -0.901348847f   ,
2063 -0.427555093f   ,       -0.903989293f   ,
2064 -0.422000271f   ,       -0.906595705f   ,
2065 -0.416429560f   ,       -0.909167983f   ,
2066 -0.410843171f   ,       -0.911706032f   ,
2067 -0.405241314f   ,       -0.914209756f   ,
2068 -0.399624200f   ,       -0.916679060f   ,
2069 -0.393992040f   ,       -0.919113852f   ,
2070 -0.388345047f   ,       -0.921514039f   ,
2071 -0.382683432f   ,       -0.923879533f   ,
2072 -0.377007410f   ,       -0.926210242f   ,
2073 -0.371317194f   ,       -0.928506080f   ,
2074 -0.365612998f   ,       -0.930766961f   ,
2075 -0.359895037f   ,       -0.932992799f   ,
2076 -0.354163525f   ,       -0.935183510f   ,
2077 -0.348418680f   ,       -0.937339012f   ,
2078 -0.342660717f   ,       -0.939459224f   ,
2079 -0.336889853f   ,       -0.941544065f   ,
2080 -0.331106306f   ,       -0.943593458f   ,
2081 -0.325310292f   ,       -0.945607325f   ,
2082 -0.319502031f   ,       -0.947585591f   ,
2083 -0.313681740f   ,       -0.949528181f   ,
2084 -0.307849640f   ,       -0.951435021f   ,
2085 -0.302005949f   ,       -0.953306040f   ,
2086 -0.296150888f   ,       -0.955141168f   ,
2087 -0.290284677f   ,       -0.956940336f   ,
2088 -0.284407537f   ,       -0.958703475f   ,
2089 -0.278519689f   ,       -0.960430519f   ,
2090 -0.272621355f   ,       -0.962121404f   ,
2091 -0.266712757f   ,       -0.963776066f   ,
2092 -0.260794118f   ,       -0.965394442f   ,
2093 -0.254865660f   ,       -0.966976471f   ,
2094 -0.248927606f   ,       -0.968522094f   ,
2095 -0.242980180f   ,       -0.970031253f   ,
2096 -0.237023606f   ,       -0.971503891f   ,
2097 -0.231058108f   ,       -0.972939952f   ,
2098 -0.225083911f   ,       -0.974339383f   ,
2099 -0.219101240f   ,       -0.975702130f   ,
2100 -0.213110320f   ,       -0.977028143f   ,
2101 -0.207111376f   ,       -0.978317371f   ,
2102 -0.201104635f   ,       -0.979569766f   ,
2103 -0.195090322f   ,       -0.980785280f   ,
2104 -0.189068664f   ,       -0.981963869f   ,
2105 -0.183039888f   ,       -0.983105487f   ,
2106 -0.177004220f   ,       -0.984210092f   ,
2107 -0.170961889f   ,       -0.985277642f   ,
2108 -0.164913120f   ,       -0.986308097f   ,
2109 -0.158858143f   ,       -0.987301418f   ,
2110 -0.152797185f   ,       -0.988257568f   ,
2111 -0.146730474f   ,       -0.989176510f   ,
2112 -0.140658239f   ,       -0.990058210f   ,
2113 -0.134580709f   ,       -0.990902635f   ,
2114 -0.128498111f   ,       -0.991709754f   ,
2115 -0.122410675f   ,       -0.992479535f   ,
2116 -0.116318631f   ,       -0.993211949f   ,
2117 -0.110222207f   ,       -0.993906970f   ,
2118 -0.104121634f   ,       -0.994564571f   ,
2119 -0.098017140f   ,       -0.995184727f   ,
2120 -0.091908956f   ,       -0.995767414f   ,
2121 -0.085797312f   ,       -0.996312612f   ,
2122 -0.079682438f   ,       -0.996820299f   ,
2123 -0.073564564f   ,       -0.997290457f   ,
2124 -0.067443920f   ,       -0.997723067f   ,
2125 -0.061320736f   ,       -0.998118113f   ,
2126 -0.055195244f   ,       -0.998475581f   ,
2127 -0.049067674f   ,       -0.998795456f   ,
2128 -0.042938257f   ,       -0.999077728f   ,
2129 -0.036807223f   ,       -0.999322385f   ,
2130 -0.030674803f   ,       -0.999529418f   ,
2131 -0.024541229f   ,       -0.999698819f   ,
2132 -0.018406730f   ,       -0.999830582f   ,
2133 -0.012271538f   ,       -0.999924702f   ,
2134 -0.006135885f   ,       -0.999981175f   ,
2135 -0.000000000f   ,       -1.000000000f   ,
2136 0.006135885f    ,       -0.999981175f   ,
2137 0.012271538f    ,       -0.999924702f   ,
2138 0.018406730f    ,       -0.999830582f   ,
2139 0.024541229f    ,       -0.999698819f   ,
2140 0.030674803f    ,       -0.999529418f   ,
2141 0.036807223f    ,       -0.999322385f   ,
2142 0.042938257f    ,       -0.999077728f   ,
2143 0.049067674f    ,       -0.998795456f   ,
2144 0.055195244f    ,       -0.998475581f   ,
2145 0.061320736f    ,       -0.998118113f   ,
2146 0.067443920f    ,       -0.997723067f   ,
2147 0.073564564f    ,       -0.997290457f   ,
2148 0.079682438f    ,       -0.996820299f   ,
2149 0.085797312f    ,       -0.996312612f   ,
2150 0.091908956f    ,       -0.995767414f   ,
2151 0.098017140f    ,       -0.995184727f   ,
2152 0.104121634f    ,       -0.994564571f   ,
2153 0.110222207f    ,       -0.993906970f   ,
2154 0.116318631f    ,       -0.993211949f   ,
2155 0.122410675f    ,       -0.992479535f   ,
2156 0.128498111f    ,       -0.991709754f   ,
2157 0.134580709f    ,       -0.990902635f   ,
2158 0.140658239f    ,       -0.990058210f   ,
2159 0.146730474f    ,       -0.989176510f   ,
2160 0.152797185f    ,       -0.988257568f   ,
2161 0.158858143f    ,       -0.987301418f   ,
2162 0.164913120f    ,       -0.986308097f   ,
2163 0.170961889f    ,       -0.985277642f   ,
2164 0.177004220f    ,       -0.984210092f   ,
2165 0.183039888f    ,       -0.983105487f   ,
2166 0.189068664f    ,       -0.981963869f   ,
2167 0.195090322f    ,       -0.980785280f   ,
2168 0.201104635f    ,       -0.979569766f   ,
2169 0.207111376f    ,       -0.978317371f   ,
2170 0.213110320f    ,       -0.977028143f   ,
2171 0.219101240f    ,       -0.975702130f   ,
2172 0.225083911f    ,       -0.974339383f   ,
2173 0.231058108f    ,       -0.972939952f   ,
2174 0.237023606f    ,       -0.971503891f   ,
2175 0.242980180f    ,       -0.970031253f   ,
2176 0.248927606f    ,       -0.968522094f   ,
2177 0.254865660f    ,       -0.966976471f   ,
2178 0.260794118f    ,       -0.965394442f   ,
2179 0.266712757f    ,       -0.963776066f   ,
2180 0.272621355f    ,       -0.962121404f   ,
2181 0.278519689f    ,       -0.960430519f   ,
2182 0.284407537f    ,       -0.958703475f   ,
2183 0.290284677f    ,       -0.956940336f   ,
2184 0.296150888f    ,       -0.955141168f   ,
2185 0.302005949f    ,       -0.953306040f   ,
2186 0.307849640f    ,       -0.951435021f   ,
2187 0.313681740f    ,       -0.949528181f   ,
2188 0.319502031f    ,       -0.947585591f   ,
2189 0.325310292f    ,       -0.945607325f   ,
2190 0.331106306f    ,       -0.943593458f   ,
2191 0.336889853f    ,       -0.941544065f   ,
2192 0.342660717f    ,       -0.939459224f   ,
2193 0.348418680f    ,       -0.937339012f   ,
2194 0.354163525f    ,       -0.935183510f   ,
2195 0.359895037f    ,       -0.932992799f   ,
2196 0.365612998f    ,       -0.930766961f   ,
2197 0.371317194f    ,       -0.928506080f   ,
2198 0.377007410f    ,       -0.926210242f   ,
2199 0.382683432f    ,       -0.923879533f   ,
2200 0.388345047f    ,       -0.921514039f   ,
2201 0.393992040f    ,       -0.919113852f   ,
2202 0.399624200f    ,       -0.916679060f   ,
2203 0.405241314f    ,       -0.914209756f   ,
2204 0.410843171f    ,       -0.911706032f   ,
2205 0.416429560f    ,       -0.909167983f   ,
2206 0.422000271f    ,       -0.906595705f   ,
2207 0.427555093f    ,       -0.903989293f   ,
2208 0.433093819f    ,       -0.901348847f   ,
2209 0.438616239f    ,       -0.898674466f   ,
2210 0.444122145f    ,       -0.895966250f   ,
2211 0.449611330f    ,       -0.893224301f   ,
2212 0.455083587f    ,       -0.890448723f   ,
2213 0.460538711f    ,       -0.887639620f   ,
2214 0.465976496f    ,       -0.884797098f   ,
2215 0.471396737f    ,       -0.881921264f   ,
2216 0.476799230f    ,       -0.879012226f   ,
2217 0.482183772f    ,       -0.876070094f   ,
2218 0.487550160f    ,       -0.873094978f   ,
2219 0.492898192f    ,       -0.870086991f   ,
2220 0.498227667f    ,       -0.867046246f   ,
2221 0.503538384f    ,       -0.863972856f   ,
2222 0.508830143f    ,       -0.860866939f   ,
2223 0.514102744f    ,       -0.857728610f   ,
2224 0.519355990f    ,       -0.854557988f   ,
2225 0.524589683f    ,       -0.851355193f   ,
2226 0.529803625f    ,       -0.848120345f   ,
2227 0.534997620f    ,       -0.844853565f   ,
2228 0.540171473f    ,       -0.841554977f   ,
2229 0.545324988f    ,       -0.838224706f   ,
2230 0.550457973f    ,       -0.834862875f   ,
2231 0.555570233f    ,       -0.831469612f   ,
2232 0.560661576f    ,       -0.828045045f   ,
2233 0.565731811f    ,       -0.824589303f   ,
2234 0.570780746f    ,       -0.821102515f   ,
2235 0.575808191f    ,       -0.817584813f   ,
2236 0.580813958f    ,       -0.814036330f   ,
2237 0.585797857f    ,       -0.810457198f   ,
2238 0.590759702f    ,       -0.806847554f   ,
2239 0.595699304f    ,       -0.803207531f   ,
2240 0.600616479f    ,       -0.799537269f   ,
2241 0.605511041f    ,       -0.795836905f   ,
2242 0.610382806f    ,       -0.792106577f   ,
2243 0.615231591f    ,       -0.788346428f   ,
2244 0.620057212f    ,       -0.784556597f   ,
2245 0.624859488f    ,       -0.780737229f   ,
2246 0.629638239f    ,       -0.776888466f   ,
2247 0.634393284f    ,       -0.773010453f   ,
2248 0.639124445f    ,       -0.769103338f   ,
2249 0.643831543f    ,       -0.765167266f   ,
2250 0.648514401f    ,       -0.761202385f   ,
2251 0.653172843f    ,       -0.757208847f   ,
2252 0.657806693f    ,       -0.753186799f   ,
2253 0.662415778f    ,       -0.749136395f   ,
2254 0.666999922f    ,       -0.745057785f   ,
2255 0.671558955f    ,       -0.740951125f   ,
2256 0.676092704f    ,       -0.736816569f   ,
2257 0.680600998f    ,       -0.732654272f   ,
2258 0.685083668f    ,       -0.728464390f   ,
2259 0.689540545f    ,       -0.724247083f   ,
2260 0.693971461f    ,       -0.720002508f   ,
2261 0.698376249f    ,       -0.715730825f   ,
2262 0.702754744f    ,       -0.711432196f   ,
2263 0.707106781f    ,       -0.707106781f   ,
2264 0.711432196f    ,       -0.702754744f   ,
2265 0.715730825f    ,       -0.698376249f   ,
2266 0.720002508f    ,       -0.693971461f   ,
2267 0.724247083f    ,       -0.689540545f   ,
2268 0.728464390f    ,       -0.685083668f   ,
2269 0.732654272f    ,       -0.680600998f   ,
2270 0.736816569f    ,       -0.676092704f   ,
2271 0.740951125f    ,       -0.671558955f   ,
2272 0.745057785f    ,       -0.666999922f   ,
2273 0.749136395f    ,       -0.662415778f   ,
2274 0.753186799f    ,       -0.657806693f   ,
2275 0.757208847f    ,       -0.653172843f   ,
2276 0.761202385f    ,       -0.648514401f   ,
2277 0.765167266f    ,       -0.643831543f   ,
2278 0.769103338f    ,       -0.639124445f   ,
2279 0.773010453f    ,       -0.634393284f   ,
2280 0.776888466f    ,       -0.629638239f   ,
2281 0.780737229f    ,       -0.624859488f   ,
2282 0.784556597f    ,       -0.620057212f   ,
2283 0.788346428f    ,       -0.615231591f   ,
2284 0.792106577f    ,       -0.610382806f   ,
2285 0.795836905f    ,       -0.605511041f   ,
2286 0.799537269f    ,       -0.600616479f   ,
2287 0.803207531f    ,       -0.595699304f   ,
2288 0.806847554f    ,       -0.590759702f   ,
2289 0.810457198f    ,       -0.585797857f   ,
2290 0.814036330f    ,       -0.580813958f   ,
2291 0.817584813f    ,       -0.575808191f   ,
2292 0.821102515f    ,       -0.570780746f   ,
2293 0.824589303f    ,       -0.565731811f   ,
2294 0.828045045f    ,       -0.560661576f   ,
2295 0.831469612f    ,       -0.555570233f   ,
2296 0.834862875f    ,       -0.550457973f   ,
2297 0.838224706f    ,       -0.545324988f   ,
2298 0.841554977f    ,       -0.540171473f   ,
2299 0.844853565f    ,       -0.534997620f   ,
2300 0.848120345f    ,       -0.529803625f   ,
2301 0.851355193f    ,       -0.524589683f   ,
2302 0.854557988f    ,       -0.519355990f   ,
2303 0.857728610f    ,       -0.514102744f   ,
2304 0.860866939f    ,       -0.508830143f   ,
2305 0.863972856f    ,       -0.503538384f   ,
2306 0.867046246f    ,       -0.498227667f   ,
2307 0.870086991f    ,       -0.492898192f   ,
2308 0.873094978f    ,       -0.487550160f   ,
2309 0.876070094f    ,       -0.482183772f   ,
2310 0.879012226f    ,       -0.476799230f   ,
2311 0.881921264f    ,       -0.471396737f   ,
2312 0.884797098f    ,       -0.465976496f   ,
2313 0.887639620f    ,       -0.460538711f   ,
2314 0.890448723f    ,       -0.455083587f   ,
2315 0.893224301f    ,       -0.449611330f   ,
2316 0.895966250f    ,       -0.444122145f   ,
2317 0.898674466f    ,       -0.438616239f   ,
2318 0.901348847f    ,       -0.433093819f   ,
2319 0.903989293f    ,       -0.427555093f   ,
2320 0.906595705f    ,       -0.422000271f   ,
2321 0.909167983f    ,       -0.416429560f   ,
2322 0.911706032f    ,       -0.410843171f   ,
2323 0.914209756f    ,       -0.405241314f   ,
2324 0.916679060f    ,       -0.399624200f   ,
2325 0.919113852f    ,       -0.393992040f   ,
2326 0.921514039f    ,       -0.388345047f   ,
2327 0.923879533f    ,       -0.382683432f   ,
2328 0.926210242f    ,       -0.377007410f   ,
2329 0.928506080f    ,       -0.371317194f   ,
2330 0.930766961f    ,       -0.365612998f   ,
2331 0.932992799f    ,       -0.359895037f   ,
2332 0.935183510f    ,       -0.354163525f   ,
2333 0.937339012f    ,       -0.348418680f   ,
2334 0.939459224f    ,       -0.342660717f   ,
2335 0.941544065f    ,       -0.336889853f   ,
2336 0.943593458f    ,       -0.331106306f   ,
2337 0.945607325f    ,       -0.325310292f   ,
2338 0.947585591f    ,       -0.319502031f   ,
2339 0.949528181f    ,       -0.313681740f   ,
2340 0.951435021f    ,       -0.307849640f   ,
2341 0.953306040f    ,       -0.302005949f   ,
2342 0.955141168f    ,       -0.296150888f   ,
2343 0.956940336f    ,       -0.290284677f   ,
2344 0.958703475f    ,       -0.284407537f   ,
2345 0.960430519f    ,       -0.278519689f   ,
2346 0.962121404f    ,       -0.272621355f   ,
2347 0.963776066f    ,       -0.266712757f   ,
2348 0.965394442f    ,       -0.260794118f   ,
2349 0.966976471f    ,       -0.254865660f   ,
2350 0.968522094f    ,       -0.248927606f   ,
2351 0.970031253f    ,       -0.242980180f   ,
2352 0.971503891f    ,       -0.237023606f   ,
2353 0.972939952f    ,       -0.231058108f   ,
2354 0.974339383f    ,       -0.225083911f   ,
2355 0.975702130f    ,       -0.219101240f   ,
2356 0.977028143f    ,       -0.213110320f   ,
2357 0.978317371f    ,       -0.207111376f   ,
2358 0.979569766f    ,       -0.201104635f   ,
2359 0.980785280f    ,       -0.195090322f   ,
2360 0.981963869f    ,       -0.189068664f   ,
2361 0.983105487f    ,       -0.183039888f   ,
2362 0.984210092f    ,       -0.177004220f   ,
2363 0.985277642f    ,       -0.170961889f   ,
2364 0.986308097f    ,       -0.164913120f   ,
2365 0.987301418f    ,       -0.158858143f   ,
2366 0.988257568f    ,       -0.152797185f   ,
2367 0.989176510f    ,       -0.146730474f   ,
2368 0.990058210f    ,       -0.140658239f   ,
2369 0.990902635f    ,       -0.134580709f   ,
2370 0.991709754f    ,       -0.128498111f   ,
2371 0.992479535f    ,       -0.122410675f   ,
2372 0.993211949f    ,       -0.116318631f   ,
2373 0.993906970f    ,       -0.110222207f   ,
2374 0.994564571f    ,       -0.104121634f   ,
2375 0.995184727f    ,       -0.098017140f   ,
2376 0.995767414f    ,       -0.091908956f   ,
2377 0.996312612f    ,       -0.085797312f   ,
2378 0.996820299f    ,       -0.079682438f   ,
2379 0.997290457f    ,       -0.073564564f   ,
2380 0.997723067f    ,       -0.067443920f   ,
2381 0.998118113f    ,       -0.061320736f   ,
2382 0.998475581f    ,       -0.055195244f   ,
2383 0.998795456f    ,       -0.049067674f   ,
2384 0.999077728f    ,       -0.042938257f   ,
2385 0.999322385f    ,       -0.036807223f   ,
2386 0.999529418f    ,       -0.030674803f   ,
2387 0.999698819f    ,       -0.024541229f   ,
2388 0.999830582f    ,       -0.018406730f   ,
2389 0.999924702f    ,       -0.012271538f   ,
2390 0.999981175f    ,       -0.006135885f
2391 };
2392
2393 /**
2394 * \par
2395 * Example code for Floating-point Twiddle factors Generation:
2396 * \par
2397 * <pre>for(i = 0; i< N/; i++)
2398 * {
2399 *       twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
2400 *       twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
2401 * } </pre>
2402 * \par
2403 * where N = 4096        and PI = 3.14159265358979
2404 * \par
2405 * Cos and Sin values are in interleaved fashion
2406 *
2407 */
2408 const float32_t twiddleCoef_2048[4096] = {
2409     1.000000000f,  0.000000000f,
2410     0.999995294f,  0.003067957f,
2411     0.999981175f,  0.006135885f,
2412     0.999957645f,  0.009203755f,
2413     0.999924702f,  0.012271538f,
2414     0.999882347f,  0.015339206f,
2415     0.999830582f,  0.018406730f,
2416     0.999769405f,  0.021474080f,
2417     0.999698819f,  0.024541229f,
2418     0.999618822f,  0.027608146f,
2419     0.999529418f,  0.030674803f,
2420     0.999430605f,  0.033741172f,
2421     0.999322385f,  0.036807223f,
2422     0.999204759f,  0.039872928f,
2423     0.999077728f,  0.042938257f,
2424     0.998941293f,  0.046003182f,
2425     0.998795456f,  0.049067674f,
2426     0.998640218f,  0.052131705f,
2427     0.998475581f,  0.055195244f,
2428     0.998301545f,  0.058258265f,
2429     0.998118113f,  0.061320736f,
2430     0.997925286f,  0.064382631f,
2431     0.997723067f,  0.067443920f,
2432     0.997511456f,  0.070504573f,
2433     0.997290457f,  0.073564564f,
2434     0.997060070f,  0.076623861f,
2435     0.996820299f,  0.079682438f,
2436     0.996571146f,  0.082740265f,
2437     0.996312612f,  0.085797312f,
2438     0.996044701f,  0.088853553f,
2439     0.995767414f,  0.091908956f,
2440     0.995480755f,  0.094963495f,
2441     0.995184727f,  0.098017140f,
2442     0.994879331f,  0.101069863f,
2443     0.994564571f,  0.104121634f,
2444     0.994240449f,  0.107172425f,
2445     0.993906970f,  0.110222207f,
2446     0.993564136f,  0.113270952f,
2447     0.993211949f,  0.116318631f,
2448     0.992850414f,  0.119365215f,
2449     0.992479535f,  0.122410675f,
2450     0.992099313f,  0.125454983f,
2451     0.991709754f,  0.128498111f,
2452     0.991310860f,  0.131540029f,
2453     0.990902635f,  0.134580709f,
2454     0.990485084f,  0.137620122f,
2455     0.990058210f,  0.140658239f,
2456     0.989622017f,  0.143695033f,
2457     0.989176510f,  0.146730474f,
2458     0.988721692f,  0.149764535f,
2459     0.988257568f,  0.152797185f,
2460     0.987784142f,  0.155828398f,
2461     0.987301418f,  0.158858143f,
2462     0.986809402f,  0.161886394f,
2463     0.986308097f,  0.164913120f,
2464     0.985797509f,  0.167938295f,
2465     0.985277642f,  0.170961889f,
2466     0.984748502f,  0.173983873f,
2467     0.984210092f,  0.177004220f,
2468     0.983662419f,  0.180022901f,
2469     0.983105487f,  0.183039888f,
2470     0.982539302f,  0.186055152f,
2471     0.981963869f,  0.189068664f,
2472     0.981379193f,  0.192080397f,
2473     0.980785280f,  0.195090322f,
2474     0.980182136f,  0.198098411f,
2475     0.979569766f,  0.201104635f,
2476     0.978948175f,  0.204108966f,
2477     0.978317371f,  0.207111376f,
2478     0.977677358f,  0.210111837f,
2479     0.977028143f,  0.213110320f,
2480     0.976369731f,  0.216106797f,
2481     0.975702130f,  0.219101240f,
2482     0.975025345f,  0.222093621f,
2483     0.974339383f,  0.225083911f,
2484     0.973644250f,  0.228072083f,
2485     0.972939952f,  0.231058108f,
2486     0.972226497f,  0.234041959f,
2487     0.971503891f,  0.237023606f,
2488     0.970772141f,  0.240003022f,
2489     0.970031253f,  0.242980180f,
2490     0.969281235f,  0.245955050f,
2491     0.968522094f,  0.248927606f,
2492     0.967753837f,  0.251897818f,
2493     0.966976471f,  0.254865660f,
2494     0.966190003f,  0.257831102f,
2495     0.965394442f,  0.260794118f,
2496     0.964589793f,  0.263754679f,
2497     0.963776066f,  0.266712757f,
2498     0.962953267f,  0.269668326f,
2499     0.962121404f,  0.272621355f,
2500     0.961280486f,  0.275571819f,
2501     0.960430519f,  0.278519689f,
2502     0.959571513f,  0.281464938f,
2503     0.958703475f,  0.284407537f,
2504     0.957826413f,  0.287347460f,
2505     0.956940336f,  0.290284677f,
2506     0.956045251f,  0.293219163f,
2507     0.955141168f,  0.296150888f,
2508     0.954228095f,  0.299079826f,
2509     0.953306040f,  0.302005949f,
2510     0.952375013f,  0.304929230f,
2511     0.951435021f,  0.307849640f,
2512     0.950486074f,  0.310767153f,
2513     0.949528181f,  0.313681740f,
2514     0.948561350f,  0.316593376f,
2515     0.947585591f,  0.319502031f,
2516     0.946600913f,  0.322407679f,
2517     0.945607325f,  0.325310292f,
2518     0.944604837f,  0.328209844f,
2519     0.943593458f,  0.331106306f,
2520     0.942573198f,  0.333999651f,
2521     0.941544065f,  0.336889853f,
2522     0.940506071f,  0.339776884f,
2523     0.939459224f,  0.342660717f,
2524     0.938403534f,  0.345541325f,
2525     0.937339012f,  0.348418680f,
2526     0.936265667f,  0.351292756f,
2527     0.935183510f,  0.354163525f,
2528     0.934092550f,  0.357030961f,
2529     0.932992799f,  0.359895037f,
2530     0.931884266f,  0.362755724f,
2531     0.930766961f,  0.365612998f,
2532     0.929640896f,  0.368466830f,
2533     0.928506080f,  0.371317194f,
2534     0.927362526f,  0.374164063f,
2535     0.926210242f,  0.377007410f,
2536     0.925049241f,  0.379847209f,
2537     0.923879533f,  0.382683432f,
2538     0.922701128f,  0.385516054f,
2539     0.921514039f,  0.388345047f,
2540     0.920318277f,  0.391170384f,
2541     0.919113852f,  0.393992040f,
2542     0.917900776f,  0.396809987f,
2543     0.916679060f,  0.399624200f,
2544     0.915448716f,  0.402434651f,
2545     0.914209756f,  0.405241314f,
2546     0.912962190f,  0.408044163f,
2547     0.911706032f,  0.410843171f,
2548     0.910441292f,  0.413638312f,
2549     0.909167983f,  0.416429560f,
2550     0.907886116f,  0.419216888f,
2551     0.906595705f,  0.422000271f,
2552     0.905296759f,  0.424779681f,
2553     0.903989293f,  0.427555093f,
2554     0.902673318f,  0.430326481f,
2555     0.901348847f,  0.433093819f,
2556     0.900015892f,  0.435857080f,
2557     0.898674466f,  0.438616239f,
2558     0.897324581f,  0.441371269f,
2559     0.895966250f,  0.444122145f,
2560     0.894599486f,  0.446868840f,
2561     0.893224301f,  0.449611330f,
2562     0.891840709f,  0.452349587f,
2563     0.890448723f,  0.455083587f,
2564     0.889048356f,  0.457813304f,
2565     0.887639620f,  0.460538711f,
2566     0.886222530f,  0.463259784f,
2567     0.884797098f,  0.465976496f,
2568     0.883363339f,  0.468688822f,
2569     0.881921264f,  0.471396737f,
2570     0.880470889f,  0.474100215f,
2571     0.879012226f,  0.476799230f,
2572     0.877545290f,  0.479493758f,
2573     0.876070094f,  0.482183772f,
2574     0.874586652f,  0.484869248f,
2575     0.873094978f,  0.487550160f,
2576     0.871595087f,  0.490226483f,
2577     0.870086991f,  0.492898192f,
2578     0.868570706f,  0.495565262f,
2579     0.867046246f,  0.498227667f,
2580     0.865513624f,  0.500885383f,
2581     0.863972856f,  0.503538384f,
2582     0.862423956f,  0.506186645f,
2583     0.860866939f,  0.508830143f,
2584     0.859301818f,  0.511468850f,
2585     0.857728610f,  0.514102744f,
2586     0.856147328f,  0.516731799f,
2587     0.854557988f,  0.519355990f,
2588     0.852960605f,  0.521975293f,
2589     0.851355193f,  0.524589683f,
2590     0.849741768f,  0.527199135f,
2591     0.848120345f,  0.529803625f,
2592     0.846490939f,  0.532403128f,
2593     0.844853565f,  0.534997620f,
2594     0.843208240f,  0.537587076f,
2595     0.841554977f,  0.540171473f,
2596     0.839893794f,  0.542750785f,
2597     0.838224706f,  0.545324988f,
2598     0.836547727f,  0.547894059f,
2599     0.834862875f,  0.550457973f,
2600     0.833170165f,  0.553016706f,
2601     0.831469612f,  0.555570233f,
2602     0.829761234f,  0.558118531f,
2603     0.828045045f,  0.560661576f,
2604     0.826321063f,  0.563199344f,
2605     0.824589303f,  0.565731811f,
2606     0.822849781f,  0.568258953f,
2607     0.821102515f,  0.570780746f,
2608     0.819347520f,  0.573297167f,
2609     0.817584813f,  0.575808191f,
2610     0.815814411f,  0.578313796f,
2611     0.814036330f,  0.580813958f,
2612     0.812250587f,  0.583308653f,
2613     0.810457198f,  0.585797857f,
2614     0.808656182f,  0.588281548f,
2615     0.806847554f,  0.590759702f,
2616     0.805031331f,  0.593232295f,
2617     0.803207531f,  0.595699304f,
2618     0.801376172f,  0.598160707f,
2619     0.799537269f,  0.600616479f,
2620     0.797690841f,  0.603066599f,
2621     0.795836905f,  0.605511041f,
2622     0.793975478f,  0.607949785f,
2623     0.792106577f,  0.610382806f,
2624     0.790230221f,  0.612810082f,
2625     0.788346428f,  0.615231591f,
2626     0.786455214f,  0.617647308f,
2627     0.784556597f,  0.620057212f,
2628     0.782650596f,  0.622461279f,
2629     0.780737229f,  0.624859488f,
2630     0.778816512f,  0.627251815f,
2631     0.776888466f,  0.629638239f,
2632     0.774953107f,  0.632018736f,
2633     0.773010453f,  0.634393284f,
2634     0.771060524f,  0.636761861f,
2635     0.769103338f,  0.639124445f,
2636     0.767138912f,  0.641481013f,
2637     0.765167266f,  0.643831543f,
2638     0.763188417f,  0.646176013f,
2639     0.761202385f,  0.648514401f,
2640     0.759209189f,  0.650846685f,
2641     0.757208847f,  0.653172843f,
2642     0.755201377f,  0.655492853f,
2643     0.753186799f,  0.657806693f,
2644     0.751165132f,  0.660114342f,
2645     0.749136395f,  0.662415778f,
2646     0.747100606f,  0.664710978f,
2647     0.745057785f,  0.666999922f,
2648     0.743007952f,  0.669282588f,
2649     0.740951125f,  0.671558955f,
2650     0.738887324f,  0.673829000f,
2651     0.736816569f,  0.676092704f,
2652     0.734738878f,  0.678350043f,
2653     0.732654272f,  0.680600998f,
2654     0.730562769f,  0.682845546f,
2655     0.728464390f,  0.685083668f,
2656     0.726359155f,  0.687315341f,
2657     0.724247083f,  0.689540545f,
2658     0.722128194f,  0.691759258f,
2659     0.720002508f,  0.693971461f,
2660     0.717870045f,  0.696177131f,
2661     0.715730825f,  0.698376249f,
2662     0.713584869f,  0.700568794f,
2663     0.711432196f,  0.702754744f,
2664     0.709272826f,  0.704934080f,
2665     0.707106781f,  0.707106781f,
2666     0.704934080f,  0.709272826f,
2667     0.702754744f,  0.711432196f,
2668     0.700568794f,  0.713584869f,
2669     0.698376249f,  0.715730825f,
2670     0.696177131f,  0.717870045f,
2671     0.693971461f,  0.720002508f,
2672     0.691759258f,  0.722128194f,
2673     0.689540545f,  0.724247083f,
2674     0.687315341f,  0.726359155f,
2675     0.685083668f,  0.728464390f,
2676     0.682845546f,  0.730562769f,
2677     0.680600998f,  0.732654272f,
2678     0.678350043f,  0.734738878f,
2679     0.676092704f,  0.736816569f,
2680     0.673829000f,  0.738887324f,
2681     0.671558955f,  0.740951125f,
2682     0.669282588f,  0.743007952f,
2683     0.666999922f,  0.745057785f,
2684     0.664710978f,  0.747100606f,
2685     0.662415778f,  0.749136395f,
2686     0.660114342f,  0.751165132f,
2687     0.657806693f,  0.753186799f,
2688     0.655492853f,  0.755201377f,
2689     0.653172843f,  0.757208847f,
2690     0.650846685f,  0.759209189f,
2691     0.648514401f,  0.761202385f,
2692     0.646176013f,  0.763188417f,
2693     0.643831543f,  0.765167266f,
2694     0.641481013f,  0.767138912f,
2695     0.639124445f,  0.769103338f,
2696     0.636761861f,  0.771060524f,
2697     0.634393284f,  0.773010453f,
2698     0.632018736f,  0.774953107f,
2699     0.629638239f,  0.776888466f,
2700     0.627251815f,  0.778816512f,
2701     0.624859488f,  0.780737229f,
2702     0.622461279f,  0.782650596f,
2703     0.620057212f,  0.784556597f,
2704     0.617647308f,  0.786455214f,
2705     0.615231591f,  0.788346428f,
2706     0.612810082f,  0.790230221f,
2707     0.610382806f,  0.792106577f,
2708     0.607949785f,  0.793975478f,
2709     0.605511041f,  0.795836905f,
2710     0.603066599f,  0.797690841f,
2711     0.600616479f,  0.799537269f,
2712     0.598160707f,  0.801376172f,
2713     0.595699304f,  0.803207531f,
2714     0.593232295f,  0.805031331f,
2715     0.590759702f,  0.806847554f,
2716     0.588281548f,  0.808656182f,
2717     0.585797857f,  0.810457198f,
2718     0.583308653f,  0.812250587f,
2719     0.580813958f,  0.814036330f,
2720     0.578313796f,  0.815814411f,
2721     0.575808191f,  0.817584813f,
2722     0.573297167f,  0.819347520f,
2723     0.570780746f,  0.821102515f,
2724     0.568258953f,  0.822849781f,
2725     0.565731811f,  0.824589303f,
2726     0.563199344f,  0.826321063f,
2727     0.560661576f,  0.828045045f,
2728     0.558118531f,  0.829761234f,
2729     0.555570233f,  0.831469612f,
2730     0.553016706f,  0.833170165f,
2731     0.550457973f,  0.834862875f,
2732     0.547894059f,  0.836547727f,
2733     0.545324988f,  0.838224706f,
2734     0.542750785f,  0.839893794f,
2735     0.540171473f,  0.841554977f,
2736     0.537587076f,  0.843208240f,
2737     0.534997620f,  0.844853565f,
2738     0.532403128f,  0.846490939f,
2739     0.529803625f,  0.848120345f,
2740     0.527199135f,  0.849741768f,
2741     0.524589683f,  0.851355193f,
2742     0.521975293f,  0.852960605f,
2743     0.519355990f,  0.854557988f,
2744     0.516731799f,  0.856147328f,
2745     0.514102744f,  0.857728610f,
2746     0.511468850f,  0.859301818f,
2747     0.508830143f,  0.860866939f,
2748     0.506186645f,  0.862423956f,
2749     0.503538384f,  0.863972856f,
2750     0.500885383f,  0.865513624f,
2751     0.498227667f,  0.867046246f,
2752     0.495565262f,  0.868570706f,
2753     0.492898192f,  0.870086991f,
2754     0.490226483f,  0.871595087f,
2755     0.487550160f,  0.873094978f,
2756     0.484869248f,  0.874586652f,
2757     0.482183772f,  0.876070094f,
2758     0.479493758f,  0.877545290f,
2759     0.476799230f,  0.879012226f,
2760     0.474100215f,  0.880470889f,
2761     0.471396737f,  0.881921264f,
2762     0.468688822f,  0.883363339f,
2763     0.465976496f,  0.884797098f,
2764     0.463259784f,  0.886222530f,
2765     0.460538711f,  0.887639620f,
2766     0.457813304f,  0.889048356f,
2767     0.455083587f,  0.890448723f,
2768     0.452349587f,  0.891840709f,
2769     0.449611330f,  0.893224301f,
2770     0.446868840f,  0.894599486f,
2771     0.444122145f,  0.895966250f,
2772     0.441371269f,  0.897324581f,
2773     0.438616239f,  0.898674466f,
2774     0.435857080f,  0.900015892f,
2775     0.433093819f,  0.901348847f,
2776     0.430326481f,  0.902673318f,
2777     0.427555093f,  0.903989293f,
2778     0.424779681f,  0.905296759f,
2779     0.422000271f,  0.906595705f,
2780     0.419216888f,  0.907886116f,
2781     0.416429560f,  0.909167983f,
2782     0.413638312f,  0.910441292f,
2783     0.410843171f,  0.911706032f,
2784     0.408044163f,  0.912962190f,
2785     0.405241314f,  0.914209756f,
2786     0.402434651f,  0.915448716f,
2787     0.399624200f,  0.916679060f,
2788     0.396809987f,  0.917900776f,
2789     0.393992040f,  0.919113852f,
2790     0.391170384f,  0.920318277f,
2791     0.388345047f,  0.921514039f,
2792     0.385516054f,  0.922701128f,
2793     0.382683432f,  0.923879533f,
2794     0.379847209f,  0.925049241f,
2795     0.377007410f,  0.926210242f,
2796     0.374164063f,  0.927362526f,
2797     0.371317194f,  0.928506080f,
2798     0.368466830f,  0.929640896f,
2799     0.365612998f,  0.930766961f,
2800     0.362755724f,  0.931884266f,
2801     0.359895037f,  0.932992799f,
2802     0.357030961f,  0.934092550f,
2803     0.354163525f,  0.935183510f,
2804     0.351292756f,  0.936265667f,
2805     0.348418680f,  0.937339012f,
2806     0.345541325f,  0.938403534f,
2807     0.342660717f,  0.939459224f,
2808     0.339776884f,  0.940506071f,
2809     0.336889853f,  0.941544065f,
2810     0.333999651f,  0.942573198f,
2811     0.331106306f,  0.943593458f,
2812     0.328209844f,  0.944604837f,
2813     0.325310292f,  0.945607325f,
2814     0.322407679f,  0.946600913f,
2815     0.319502031f,  0.947585591f,
2816     0.316593376f,  0.948561350f,
2817     0.313681740f,  0.949528181f,
2818     0.310767153f,  0.950486074f,
2819     0.307849640f,  0.951435021f,
2820     0.304929230f,  0.952375013f,
2821     0.302005949f,  0.953306040f,
2822     0.299079826f,  0.954228095f,
2823     0.296150888f,  0.955141168f,
2824     0.293219163f,  0.956045251f,
2825     0.290284677f,  0.956940336f,
2826     0.287347460f,  0.957826413f,
2827     0.284407537f,  0.958703475f,
2828     0.281464938f,  0.959571513f,
2829     0.278519689f,  0.960430519f,
2830     0.275571819f,  0.961280486f,
2831     0.272621355f,  0.962121404f,
2832     0.269668326f,  0.962953267f,
2833     0.266712757f,  0.963776066f,
2834     0.263754679f,  0.964589793f,
2835     0.260794118f,  0.965394442f,
2836     0.257831102f,  0.966190003f,
2837     0.254865660f,  0.966976471f,
2838     0.251897818f,  0.967753837f,
2839     0.248927606f,  0.968522094f,
2840     0.245955050f,  0.969281235f,
2841     0.242980180f,  0.970031253f,
2842     0.240003022f,  0.970772141f,
2843     0.237023606f,  0.971503891f,
2844     0.234041959f,  0.972226497f,
2845     0.231058108f,  0.972939952f,
2846     0.228072083f,  0.973644250f,
2847     0.225083911f,  0.974339383f,
2848     0.222093621f,  0.975025345f,
2849     0.219101240f,  0.975702130f,
2850     0.216106797f,  0.976369731f,
2851     0.213110320f,  0.977028143f,
2852     0.210111837f,  0.977677358f,
2853     0.207111376f,  0.978317371f,
2854     0.204108966f,  0.978948175f,
2855     0.201104635f,  0.979569766f,
2856     0.198098411f,  0.980182136f,
2857     0.195090322f,  0.980785280f,
2858     0.192080397f,  0.981379193f,
2859     0.189068664f,  0.981963869f,
2860     0.186055152f,  0.982539302f,
2861     0.183039888f,  0.983105487f,
2862     0.180022901f,  0.983662419f,
2863     0.177004220f,  0.984210092f,
2864     0.173983873f,  0.984748502f,
2865     0.170961889f,  0.985277642f,
2866     0.167938295f,  0.985797509f,
2867     0.164913120f,  0.986308097f,
2868     0.161886394f,  0.986809402f,
2869     0.158858143f,  0.987301418f,
2870     0.155828398f,  0.987784142f,
2871     0.152797185f,  0.988257568f,
2872     0.149764535f,  0.988721692f,
2873     0.146730474f,  0.989176510f,
2874     0.143695033f,  0.989622017f,
2875     0.140658239f,  0.990058210f,
2876     0.137620122f,  0.990485084f,
2877     0.134580709f,  0.990902635f,
2878     0.131540029f,  0.991310860f,
2879     0.128498111f,  0.991709754f,
2880     0.125454983f,  0.992099313f,
2881     0.122410675f,  0.992479535f,
2882     0.119365215f,  0.992850414f,
2883     0.116318631f,  0.993211949f,
2884     0.113270952f,  0.993564136f,
2885     0.110222207f,  0.993906970f,
2886     0.107172425f,  0.994240449f,
2887     0.104121634f,  0.994564571f,
2888     0.101069863f,  0.994879331f,
2889     0.098017140f,  0.995184727f,
2890     0.094963495f,  0.995480755f,
2891     0.091908956f,  0.995767414f,
2892     0.088853553f,  0.996044701f,
2893     0.085797312f,  0.996312612f,
2894     0.082740265f,  0.996571146f,
2895     0.079682438f,  0.996820299f,
2896     0.076623861f,  0.997060070f,
2897     0.073564564f,  0.997290457f,
2898     0.070504573f,  0.997511456f,
2899     0.067443920f,  0.997723067f,
2900     0.064382631f,  0.997925286f,
2901     0.061320736f,  0.998118113f,
2902     0.058258265f,  0.998301545f,
2903     0.055195244f,  0.998475581f,
2904     0.052131705f,  0.998640218f,
2905     0.049067674f,  0.998795456f,
2906     0.046003182f,  0.998941293f,
2907     0.042938257f,  0.999077728f,
2908     0.039872928f,  0.999204759f,
2909     0.036807223f,  0.999322385f,
2910     0.033741172f,  0.999430605f,
2911     0.030674803f,  0.999529418f,
2912     0.027608146f,  0.999618822f,
2913     0.024541229f,  0.999698819f,
2914     0.021474080f,  0.999769405f,
2915     0.018406730f,  0.999830582f,
2916     0.015339206f,  0.999882347f,
2917     0.012271538f,  0.999924702f,
2918     0.009203755f,  0.999957645f,
2919     0.006135885f,  0.999981175f,
2920     0.003067957f,  0.999995294f,
2921     0.000000000f,  1.000000000f,
2922    -0.003067957f,  0.999995294f,
2923    -0.006135885f,  0.999981175f,
2924    -0.009203755f,  0.999957645f,
2925    -0.012271538f,  0.999924702f,
2926    -0.015339206f,  0.999882347f,
2927    -0.018406730f,  0.999830582f,
2928    -0.021474080f,  0.999769405f,
2929    -0.024541229f,  0.999698819f,
2930    -0.027608146f,  0.999618822f,
2931    -0.030674803f,  0.999529418f,
2932    -0.033741172f,  0.999430605f,
2933    -0.036807223f,  0.999322385f,
2934    -0.039872928f,  0.999204759f,
2935    -0.042938257f,  0.999077728f,
2936    -0.046003182f,  0.998941293f,
2937    -0.049067674f,  0.998795456f,
2938    -0.052131705f,  0.998640218f,
2939    -0.055195244f,  0.998475581f,
2940    -0.058258265f,  0.998301545f,
2941    -0.061320736f,  0.998118113f,
2942    -0.064382631f,  0.997925286f,
2943    -0.067443920f,  0.997723067f,
2944    -0.070504573f,  0.997511456f,
2945    -0.073564564f,  0.997290457f,
2946    -0.076623861f,  0.997060070f,
2947    -0.079682438f,  0.996820299f,
2948    -0.082740265f,  0.996571146f,
2949    -0.085797312f,  0.996312612f,
2950    -0.088853553f,  0.996044701f,
2951    -0.091908956f,  0.995767414f,
2952    -0.094963495f,  0.995480755f,
2953    -0.098017140f,  0.995184727f,
2954    -0.101069863f,  0.994879331f,
2955    -0.104121634f,  0.994564571f,
2956    -0.107172425f,  0.994240449f,
2957    -0.110222207f,  0.993906970f,
2958    -0.113270952f,  0.993564136f,
2959    -0.116318631f,  0.993211949f,
2960    -0.119365215f,  0.992850414f,
2961    -0.122410675f,  0.992479535f,
2962    -0.125454983f,  0.992099313f,
2963    -0.128498111f,  0.991709754f,
2964    -0.131540029f,  0.991310860f,
2965    -0.134580709f,  0.990902635f,
2966    -0.137620122f,  0.990485084f,
2967    -0.140658239f,  0.990058210f,
2968    -0.143695033f,  0.989622017f,
2969    -0.146730474f,  0.989176510f,
2970    -0.149764535f,  0.988721692f,
2971    -0.152797185f,  0.988257568f,
2972    -0.155828398f,  0.987784142f,
2973    -0.158858143f,  0.987301418f,
2974    -0.161886394f,  0.986809402f,
2975    -0.164913120f,  0.986308097f,
2976    -0.167938295f,  0.985797509f,
2977    -0.170961889f,  0.985277642f,
2978    -0.173983873f,  0.984748502f,
2979    -0.177004220f,  0.984210092f,
2980    -0.180022901f,  0.983662419f,
2981    -0.183039888f,  0.983105487f,
2982    -0.186055152f,  0.982539302f,
2983    -0.189068664f,  0.981963869f,
2984    -0.192080397f,  0.981379193f,
2985    -0.195090322f,  0.980785280f,
2986    -0.198098411f,  0.980182136f,
2987    -0.201104635f,  0.979569766f,
2988    -0.204108966f,  0.978948175f,
2989    -0.207111376f,  0.978317371f,
2990    -0.210111837f,  0.977677358f,
2991    -0.213110320f,  0.977028143f,
2992    -0.216106797f,  0.976369731f,
2993    -0.219101240f,  0.975702130f,
2994    -0.222093621f,  0.975025345f,
2995    -0.225083911f,  0.974339383f,
2996    -0.228072083f,  0.973644250f,
2997    -0.231058108f,  0.972939952f,
2998    -0.234041959f,  0.972226497f,
2999    -0.237023606f,  0.971503891f,
3000    -0.240003022f,  0.970772141f,
3001    -0.242980180f,  0.970031253f,
3002    -0.245955050f,  0.969281235f,
3003    -0.248927606f,  0.968522094f,
3004    -0.251897818f,  0.967753837f,
3005    -0.254865660f,  0.966976471f,
3006    -0.257831102f,  0.966190003f,
3007    -0.260794118f,  0.965394442f,
3008    -0.263754679f,  0.964589793f,
3009    -0.266712757f,  0.963776066f,
3010    -0.269668326f,  0.962953267f,
3011    -0.272621355f,  0.962121404f,
3012    -0.275571819f,  0.961280486f,
3013    -0.278519689f,  0.960430519f,
3014    -0.281464938f,  0.959571513f,
3015    -0.284407537f,  0.958703475f,
3016    -0.287347460f,  0.957826413f,
3017    -0.290284677f,  0.956940336f,
3018    -0.293219163f,  0.956045251f,
3019    -0.296150888f,  0.955141168f,
3020    -0.299079826f,  0.954228095f,
3021    -0.302005949f,  0.953306040f,
3022    -0.304929230f,  0.952375013f,
3023    -0.307849640f,  0.951435021f,
3024    -0.310767153f,  0.950486074f,
3025    -0.313681740f,  0.949528181f,
3026    -0.316593376f,  0.948561350f,
3027    -0.319502031f,  0.947585591f,
3028    -0.322407679f,  0.946600913f,
3029    -0.325310292f,  0.945607325f,
3030    -0.328209844f,  0.944604837f,
3031    -0.331106306f,  0.943593458f,
3032    -0.333999651f,  0.942573198f,
3033    -0.336889853f,  0.941544065f,
3034    -0.339776884f,  0.940506071f,
3035    -0.342660717f,  0.939459224f,
3036    -0.345541325f,  0.938403534f,
3037    -0.348418680f,  0.937339012f,
3038    -0.351292756f,  0.936265667f,
3039    -0.354163525f,  0.935183510f,
3040    -0.357030961f,  0.934092550f,
3041    -0.359895037f,  0.932992799f,
3042    -0.362755724f,  0.931884266f,
3043    -0.365612998f,  0.930766961f,
3044    -0.368466830f,  0.929640896f,
3045    -0.371317194f,  0.928506080f,
3046    -0.374164063f,  0.927362526f,
3047    -0.377007410f,  0.926210242f,
3048    -0.379847209f,  0.925049241f,
3049    -0.382683432f,  0.923879533f,
3050    -0.385516054f,  0.922701128f,
3051    -0.388345047f,  0.921514039f,
3052    -0.391170384f,  0.920318277f,
3053    -0.393992040f,  0.919113852f,
3054    -0.396809987f,  0.917900776f,
3055    -0.399624200f,  0.916679060f,
3056    -0.402434651f,  0.915448716f,
3057    -0.405241314f,  0.914209756f,
3058    -0.408044163f,  0.912962190f,
3059    -0.410843171f,  0.911706032f,
3060    -0.413638312f,  0.910441292f,
3061    -0.416429560f,  0.909167983f,
3062    -0.419216888f,  0.907886116f,
3063    -0.422000271f,  0.906595705f,
3064    -0.424779681f,  0.905296759f,
3065    -0.427555093f,  0.903989293f,
3066    -0.430326481f,  0.902673318f,
3067    -0.433093819f,  0.901348847f,
3068    -0.435857080f,  0.900015892f,
3069    -0.438616239f,  0.898674466f,
3070    -0.441371269f,  0.897324581f,
3071    -0.444122145f,  0.895966250f,
3072    -0.446868840f,  0.894599486f,
3073    -0.449611330f,  0.893224301f,
3074    -0.452349587f,  0.891840709f,
3075    -0.455083587f,  0.890448723f,
3076    -0.457813304f,  0.889048356f,
3077    -0.460538711f,  0.887639620f,
3078    -0.463259784f,  0.886222530f,
3079    -0.465976496f,  0.884797098f,
3080    -0.468688822f,  0.883363339f,
3081    -0.471396737f,  0.881921264f,
3082    -0.474100215f,  0.880470889f,
3083    -0.476799230f,  0.879012226f,
3084    -0.479493758f,  0.877545290f,
3085    -0.482183772f,  0.876070094f,
3086    -0.484869248f,  0.874586652f,
3087    -0.487550160f,  0.873094978f,
3088    -0.490226483f,  0.871595087f,
3089    -0.492898192f,  0.870086991f,
3090    -0.495565262f,  0.868570706f,
3091    -0.498227667f,  0.867046246f,
3092    -0.500885383f,  0.865513624f,
3093    -0.503538384f,  0.863972856f,
3094    -0.506186645f,  0.862423956f,
3095    -0.508830143f,  0.860866939f,
3096    -0.511468850f,  0.859301818f,
3097    -0.514102744f,  0.857728610f,
3098    -0.516731799f,  0.856147328f,
3099    -0.519355990f,  0.854557988f,
3100    -0.521975293f,  0.852960605f,
3101    -0.524589683f,  0.851355193f,
3102    -0.527199135f,  0.849741768f,
3103    -0.529803625f,  0.848120345f,
3104    -0.532403128f,  0.846490939f,
3105    -0.534997620f,  0.844853565f,
3106    -0.537587076f,  0.843208240f,
3107    -0.540171473f,  0.841554977f,
3108    -0.542750785f,  0.839893794f,
3109    -0.545324988f,  0.838224706f,
3110    -0.547894059f,  0.836547727f,
3111    -0.550457973f,  0.834862875f,
3112    -0.553016706f,  0.833170165f,
3113    -0.555570233f,  0.831469612f,
3114    -0.558118531f,  0.829761234f,
3115    -0.560661576f,  0.828045045f,
3116    -0.563199344f,  0.826321063f,
3117    -0.565731811f,  0.824589303f,
3118    -0.568258953f,  0.822849781f,
3119    -0.570780746f,  0.821102515f,
3120    -0.573297167f,  0.819347520f,
3121    -0.575808191f,  0.817584813f,
3122    -0.578313796f,  0.815814411f,
3123    -0.580813958f,  0.814036330f,
3124    -0.583308653f,  0.812250587f,
3125    -0.585797857f,  0.810457198f,
3126    -0.588281548f,  0.808656182f,
3127    -0.590759702f,  0.806847554f,
3128    -0.593232295f,  0.805031331f,
3129    -0.595699304f,  0.803207531f,
3130    -0.598160707f,  0.801376172f,
3131    -0.600616479f,  0.799537269f,
3132    -0.603066599f,  0.797690841f,
3133    -0.605511041f,  0.795836905f,
3134    -0.607949785f,  0.793975478f,
3135    -0.610382806f,  0.792106577f,
3136    -0.612810082f,  0.790230221f,
3137    -0.615231591f,  0.788346428f,
3138    -0.617647308f,  0.786455214f,
3139    -0.620057212f,  0.784556597f,
3140    -0.622461279f,  0.782650596f,
3141    -0.624859488f,  0.780737229f,
3142    -0.627251815f,  0.778816512f,
3143    -0.629638239f,  0.776888466f,
3144    -0.632018736f,  0.774953107f,
3145    -0.634393284f,  0.773010453f,
3146    -0.636761861f,  0.771060524f,
3147    -0.639124445f,  0.769103338f,
3148    -0.641481013f,  0.767138912f,
3149    -0.643831543f,  0.765167266f,
3150    -0.646176013f,  0.763188417f,
3151    -0.648514401f,  0.761202385f,
3152    -0.650846685f,  0.759209189f,
3153    -0.653172843f,  0.757208847f,
3154    -0.655492853f,  0.755201377f,
3155    -0.657806693f,  0.753186799f,
3156    -0.660114342f,  0.751165132f,
3157    -0.662415778f,  0.749136395f,
3158    -0.664710978f,  0.747100606f,
3159    -0.666999922f,  0.745057785f,
3160    -0.669282588f,  0.743007952f,
3161    -0.671558955f,  0.740951125f,
3162    -0.673829000f,  0.738887324f,
3163    -0.676092704f,  0.736816569f,
3164    -0.678350043f,  0.734738878f,
3165    -0.680600998f,  0.732654272f,
3166    -0.682845546f,  0.730562769f,
3167    -0.685083668f,  0.728464390f,
3168    -0.687315341f,  0.726359155f,
3169    -0.689540545f,  0.724247083f,
3170    -0.691759258f,  0.722128194f,
3171    -0.693971461f,  0.720002508f,
3172    -0.696177131f,  0.717870045f,
3173    -0.698376249f,  0.715730825f,
3174    -0.700568794f,  0.713584869f,
3175    -0.702754744f,  0.711432196f,
3176    -0.704934080f,  0.709272826f,
3177    -0.707106781f,  0.707106781f,
3178    -0.709272826f,  0.704934080f,
3179    -0.711432196f,  0.702754744f,
3180    -0.713584869f,  0.700568794f,
3181    -0.715730825f,  0.698376249f,
3182    -0.717870045f,  0.696177131f,
3183    -0.720002508f,  0.693971461f,
3184    -0.722128194f,  0.691759258f,
3185    -0.724247083f,  0.689540545f,
3186    -0.726359155f,  0.687315341f,
3187    -0.728464390f,  0.685083668f,
3188    -0.730562769f,  0.682845546f,
3189    -0.732654272f,  0.680600998f,
3190    -0.734738878f,  0.678350043f,
3191    -0.736816569f,  0.676092704f,
3192    -0.738887324f,  0.673829000f,
3193    -0.740951125f,  0.671558955f,
3194    -0.743007952f,  0.669282588f,
3195    -0.745057785f,  0.666999922f,
3196    -0.747100606f,  0.664710978f,
3197    -0.749136395f,  0.662415778f,
3198    -0.751165132f,  0.660114342f,
3199    -0.753186799f,  0.657806693f,
3200    -0.755201377f,  0.655492853f,
3201    -0.757208847f,  0.653172843f,
3202    -0.759209189f,  0.650846685f,
3203    -0.761202385f,  0.648514401f,
3204    -0.763188417f,  0.646176013f,
3205    -0.765167266f,  0.643831543f,
3206    -0.767138912f,  0.641481013f,
3207    -0.769103338f,  0.639124445f,
3208    -0.771060524f,  0.636761861f,
3209    -0.773010453f,  0.634393284f,
3210    -0.774953107f,  0.632018736f,
3211    -0.776888466f,  0.629638239f,
3212    -0.778816512f,  0.627251815f,
3213    -0.780737229f,  0.624859488f,
3214    -0.782650596f,  0.622461279f,
3215    -0.784556597f,  0.620057212f,
3216    -0.786455214f,  0.617647308f,
3217    -0.788346428f,  0.615231591f,
3218    -0.790230221f,  0.612810082f,
3219    -0.792106577f,  0.610382806f,
3220    -0.793975478f,  0.607949785f,
3221    -0.795836905f,  0.605511041f,
3222    -0.797690841f,  0.603066599f,
3223    -0.799537269f,  0.600616479f,
3224    -0.801376172f,  0.598160707f,
3225    -0.803207531f,  0.595699304f,
3226    -0.805031331f,  0.593232295f,
3227    -0.806847554f,  0.590759702f,
3228    -0.808656182f,  0.588281548f,
3229    -0.810457198f,  0.585797857f,
3230    -0.812250587f,  0.583308653f,
3231    -0.814036330f,  0.580813958f,
3232    -0.815814411f,  0.578313796f,
3233    -0.817584813f,  0.575808191f,
3234    -0.819347520f,  0.573297167f,
3235    -0.821102515f,  0.570780746f,
3236    -0.822849781f,  0.568258953f,
3237    -0.824589303f,  0.565731811f,
3238    -0.826321063f,  0.563199344f,
3239    -0.828045045f,  0.560661576f,
3240    -0.829761234f,  0.558118531f,
3241    -0.831469612f,  0.555570233f,
3242    -0.833170165f,  0.553016706f,
3243    -0.834862875f,  0.550457973f,
3244    -0.836547727f,  0.547894059f,
3245    -0.838224706f,  0.545324988f,
3246    -0.839893794f,  0.542750785f,
3247    -0.841554977f,  0.540171473f,
3248    -0.843208240f,  0.537587076f,
3249    -0.844853565f,  0.534997620f,
3250    -0.846490939f,  0.532403128f,
3251    -0.848120345f,  0.529803625f,
3252    -0.849741768f,  0.527199135f,
3253    -0.851355193f,  0.524589683f,
3254    -0.852960605f,  0.521975293f,
3255    -0.854557988f,  0.519355990f,
3256    -0.856147328f,  0.516731799f,
3257    -0.857728610f,  0.514102744f,
3258    -0.859301818f,  0.511468850f,
3259    -0.860866939f,  0.508830143f,
3260    -0.862423956f,  0.506186645f,
3261    -0.863972856f,  0.503538384f,
3262    -0.865513624f,  0.500885383f,
3263    -0.867046246f,  0.498227667f,
3264    -0.868570706f,  0.495565262f,
3265    -0.870086991f,  0.492898192f,
3266    -0.871595087f,  0.490226483f,
3267    -0.873094978f,  0.487550160f,
3268    -0.874586652f,  0.484869248f,
3269    -0.876070094f,  0.482183772f,
3270    -0.877545290f,  0.479493758f,
3271    -0.879012226f,  0.476799230f,
3272    -0.880470889f,  0.474100215f,
3273    -0.881921264f,  0.471396737f,
3274    -0.883363339f,  0.468688822f,
3275    -0.884797098f,  0.465976496f,
3276    -0.886222530f,  0.463259784f,
3277    -0.887639620f,  0.460538711f,
3278    -0.889048356f,  0.457813304f,
3279    -0.890448723f,  0.455083587f,
3280    -0.891840709f,  0.452349587f,
3281    -0.893224301f,  0.449611330f,
3282    -0.894599486f,  0.446868840f,
3283    -0.895966250f,  0.444122145f,
3284    -0.897324581f,  0.441371269f,
3285    -0.898674466f,  0.438616239f,
3286    -0.900015892f,  0.435857080f,
3287    -0.901348847f,  0.433093819f,
3288    -0.902673318f,  0.430326481f,
3289    -0.903989293f,  0.427555093f,
3290    -0.905296759f,  0.424779681f,
3291    -0.906595705f,  0.422000271f,
3292    -0.907886116f,  0.419216888f,
3293    -0.909167983f,  0.416429560f,
3294    -0.910441292f,  0.413638312f,
3295    -0.911706032f,  0.410843171f,
3296    -0.912962190f,  0.408044163f,
3297    -0.914209756f,  0.405241314f,
3298    -0.915448716f,  0.402434651f,
3299    -0.916679060f,  0.399624200f,
3300    -0.917900776f,  0.396809987f,
3301    -0.919113852f,  0.393992040f,
3302    -0.920318277f,  0.391170384f,
3303    -0.921514039f,  0.388345047f,
3304    -0.922701128f,  0.385516054f,
3305    -0.923879533f,  0.382683432f,
3306    -0.925049241f,  0.379847209f,
3307    -0.926210242f,  0.377007410f,
3308    -0.927362526f,  0.374164063f,
3309    -0.928506080f,  0.371317194f,
3310    -0.929640896f,  0.368466830f,
3311    -0.930766961f,  0.365612998f,
3312    -0.931884266f,  0.362755724f,
3313    -0.932992799f,  0.359895037f,
3314    -0.934092550f,  0.357030961f,
3315    -0.935183510f,  0.354163525f,
3316    -0.936265667f,  0.351292756f,
3317    -0.937339012f,  0.348418680f,
3318    -0.938403534f,  0.345541325f,
3319    -0.939459224f,  0.342660717f,
3320    -0.940506071f,  0.339776884f,
3321    -0.941544065f,  0.336889853f,
3322    -0.942573198f,  0.333999651f,
3323    -0.943593458f,  0.331106306f,
3324    -0.944604837f,  0.328209844f,
3325    -0.945607325f,  0.325310292f,
3326    -0.946600913f,  0.322407679f,
3327    -0.947585591f,  0.319502031f,
3328    -0.948561350f,  0.316593376f,
3329    -0.949528181f,  0.313681740f,
3330    -0.950486074f,  0.310767153f,
3331    -0.951435021f,  0.307849640f,
3332    -0.952375013f,  0.304929230f,
3333    -0.953306040f,  0.302005949f,
3334    -0.954228095f,  0.299079826f,
3335    -0.955141168f,  0.296150888f,
3336    -0.956045251f,  0.293219163f,
3337    -0.956940336f,  0.290284677f,
3338    -0.957826413f,  0.287347460f,
3339    -0.958703475f,  0.284407537f,
3340    -0.959571513f,  0.281464938f,
3341    -0.960430519f,  0.278519689f,
3342    -0.961280486f,  0.275571819f,
3343    -0.962121404f,  0.272621355f,
3344    -0.962953267f,  0.269668326f,
3345    -0.963776066f,  0.266712757f,
3346    -0.964589793f,  0.263754679f,
3347    -0.965394442f,  0.260794118f,
3348    -0.966190003f,  0.257831102f,
3349    -0.966976471f,  0.254865660f,
3350    -0.967753837f,  0.251897818f,
3351    -0.968522094f,  0.248927606f,
3352    -0.969281235f,  0.245955050f,
3353    -0.970031253f,  0.242980180f,
3354    -0.970772141f,  0.240003022f,
3355    -0.971503891f,  0.237023606f,
3356    -0.972226497f,  0.234041959f,
3357    -0.972939952f,  0.231058108f,
3358    -0.973644250f,  0.228072083f,
3359    -0.974339383f,  0.225083911f,
3360    -0.975025345f,  0.222093621f,
3361    -0.975702130f,  0.219101240f,
3362    -0.976369731f,  0.216106797f,
3363    -0.977028143f,  0.213110320f,
3364    -0.977677358f,  0.210111837f,
3365    -0.978317371f,  0.207111376f,
3366    -0.978948175f,  0.204108966f,
3367    -0.979569766f,  0.201104635f,
3368    -0.980182136f,  0.198098411f,
3369    -0.980785280f,  0.195090322f,
3370    -0.981379193f,  0.192080397f,
3371    -0.981963869f,  0.189068664f,
3372    -0.982539302f,  0.186055152f,
3373    -0.983105487f,  0.183039888f,
3374    -0.983662419f,  0.180022901f,
3375    -0.984210092f,  0.177004220f,
3376    -0.984748502f,  0.173983873f,
3377    -0.985277642f,  0.170961889f,
3378    -0.985797509f,  0.167938295f,
3379    -0.986308097f,  0.164913120f,
3380    -0.986809402f,  0.161886394f,
3381    -0.987301418f,  0.158858143f,
3382    -0.987784142f,  0.155828398f,
3383    -0.988257568f,  0.152797185f,
3384    -0.988721692f,  0.149764535f,
3385    -0.989176510f,  0.146730474f,
3386    -0.989622017f,  0.143695033f,
3387    -0.990058210f,  0.140658239f,
3388    -0.990485084f,  0.137620122f,
3389    -0.990902635f,  0.134580709f,
3390    -0.991310860f,  0.131540029f,
3391    -0.991709754f,  0.128498111f,
3392    -0.992099313f,  0.125454983f,
3393    -0.992479535f,  0.122410675f,
3394    -0.992850414f,  0.119365215f,
3395    -0.993211949f,  0.116318631f,
3396    -0.993564136f,  0.113270952f,
3397    -0.993906970f,  0.110222207f,
3398    -0.994240449f,  0.107172425f,
3399    -0.994564571f,  0.104121634f,
3400    -0.994879331f,  0.101069863f,
3401    -0.995184727f,  0.098017140f,
3402    -0.995480755f,  0.094963495f,
3403    -0.995767414f,  0.091908956f,
3404    -0.996044701f,  0.088853553f,
3405    -0.996312612f,  0.085797312f,
3406    -0.996571146f,  0.082740265f,
3407    -0.996820299f,  0.079682438f,
3408    -0.997060070f,  0.076623861f,
3409    -0.997290457f,  0.073564564f,
3410    -0.997511456f,  0.070504573f,
3411    -0.997723067f,  0.067443920f,
3412    -0.997925286f,  0.064382631f,
3413    -0.998118113f,  0.061320736f,
3414    -0.998301545f,  0.058258265f,
3415    -0.998475581f,  0.055195244f,
3416    -0.998640218f,  0.052131705f,
3417    -0.998795456f,  0.049067674f,
3418    -0.998941293f,  0.046003182f,
3419    -0.999077728f,  0.042938257f,
3420    -0.999204759f,  0.039872928f,
3421    -0.999322385f,  0.036807223f,
3422    -0.999430605f,  0.033741172f,
3423    -0.999529418f,  0.030674803f,
3424    -0.999618822f,  0.027608146f,
3425    -0.999698819f,  0.024541229f,
3426    -0.999769405f,  0.021474080f,
3427    -0.999830582f,  0.018406730f,
3428    -0.999882347f,  0.015339206f,
3429    -0.999924702f,  0.012271538f,
3430    -0.999957645f,  0.009203755f,
3431    -0.999981175f,  0.006135885f,
3432    -0.999995294f,  0.003067957f,
3433    -1.000000000f,  0.000000000f,
3434    -0.999995294f, -0.003067957f,
3435    -0.999981175f, -0.006135885f,
3436    -0.999957645f, -0.009203755f,
3437    -0.999924702f, -0.012271538f,
3438    -0.999882347f, -0.015339206f,
3439    -0.999830582f, -0.018406730f,
3440    -0.999769405f, -0.021474080f,
3441    -0.999698819f, -0.024541229f,
3442    -0.999618822f, -0.027608146f,
3443    -0.999529418f, -0.030674803f,
3444    -0.999430605f, -0.033741172f,
3445    -0.999322385f, -0.036807223f,
3446    -0.999204759f, -0.039872928f,
3447    -0.999077728f, -0.042938257f,
3448    -0.998941293f, -0.046003182f,
3449    -0.998795456f, -0.049067674f,
3450    -0.998640218f, -0.052131705f,
3451    -0.998475581f, -0.055195244f,
3452    -0.998301545f, -0.058258265f,
3453    -0.998118113f, -0.061320736f,
3454    -0.997925286f, -0.064382631f,
3455    -0.997723067f, -0.067443920f,
3456    -0.997511456f, -0.070504573f,
3457    -0.997290457f, -0.073564564f,
3458    -0.997060070f, -0.076623861f,
3459    -0.996820299f, -0.079682438f,
3460    -0.996571146f, -0.082740265f,
3461    -0.996312612f, -0.085797312f,
3462    -0.996044701f, -0.088853553f,
3463    -0.995767414f, -0.091908956f,
3464    -0.995480755f, -0.094963495f,
3465    -0.995184727f, -0.098017140f,
3466    -0.994879331f, -0.101069863f,
3467    -0.994564571f, -0.104121634f,
3468    -0.994240449f, -0.107172425f,
3469    -0.993906970f, -0.110222207f,
3470    -0.993564136f, -0.113270952f,
3471    -0.993211949f, -0.116318631f,
3472    -0.992850414f, -0.119365215f,
3473    -0.992479535f, -0.122410675f,
3474    -0.992099313f, -0.125454983f,
3475    -0.991709754f, -0.128498111f,
3476    -0.991310860f, -0.131540029f,
3477    -0.990902635f, -0.134580709f,
3478    -0.990485084f, -0.137620122f,
3479    -0.990058210f, -0.140658239f,
3480    -0.989622017f, -0.143695033f,
3481    -0.989176510f, -0.146730474f,
3482    -0.988721692f, -0.149764535f,
3483    -0.988257568f, -0.152797185f,
3484    -0.987784142f, -0.155828398f,
3485    -0.987301418f, -0.158858143f,
3486    -0.986809402f, -0.161886394f,
3487    -0.986308097f, -0.164913120f,
3488    -0.985797509f, -0.167938295f,
3489    -0.985277642f, -0.170961889f,
3490    -0.984748502f, -0.173983873f,
3491    -0.984210092f, -0.177004220f,
3492    -0.983662419f, -0.180022901f,
3493    -0.983105487f, -0.183039888f,
3494    -0.982539302f, -0.186055152f,
3495    -0.981963869f, -0.189068664f,
3496    -0.981379193f, -0.192080397f,
3497    -0.980785280f, -0.195090322f,
3498    -0.980182136f, -0.198098411f,
3499    -0.979569766f, -0.201104635f,
3500    -0.978948175f, -0.204108966f,
3501    -0.978317371f, -0.207111376f,
3502    -0.977677358f, -0.210111837f,
3503    -0.977028143f, -0.213110320f,
3504    -0.976369731f, -0.216106797f,
3505    -0.975702130f, -0.219101240f,
3506    -0.975025345f, -0.222093621f,
3507    -0.974339383f, -0.225083911f,
3508    -0.973644250f, -0.228072083f,
3509    -0.972939952f, -0.231058108f,
3510    -0.972226497f, -0.234041959f,
3511    -0.971503891f, -0.237023606f,
3512    -0.970772141f, -0.240003022f,
3513    -0.970031253f, -0.242980180f,
3514    -0.969281235f, -0.245955050f,
3515    -0.968522094f, -0.248927606f,
3516    -0.967753837f, -0.251897818f,
3517    -0.966976471f, -0.254865660f,
3518    -0.966190003f, -0.257831102f,
3519    -0.965394442f, -0.260794118f,
3520    -0.964589793f, -0.263754679f,
3521    -0.963776066f, -0.266712757f,
3522    -0.962953267f, -0.269668326f,
3523    -0.962121404f, -0.272621355f,
3524    -0.961280486f, -0.275571819f,
3525    -0.960430519f, -0.278519689f,
3526    -0.959571513f, -0.281464938f,
3527    -0.958703475f, -0.284407537f,
3528    -0.957826413f, -0.287347460f,
3529    -0.956940336f, -0.290284677f,
3530    -0.956045251f, -0.293219163f,
3531    -0.955141168f, -0.296150888f,
3532    -0.954228095f, -0.299079826f,
3533    -0.953306040f, -0.302005949f,
3534    -0.952375013f, -0.304929230f,
3535    -0.951435021f, -0.307849640f,
3536    -0.950486074f, -0.310767153f,
3537    -0.949528181f, -0.313681740f,
3538    -0.948561350f, -0.316593376f,
3539    -0.947585591f, -0.319502031f,
3540    -0.946600913f, -0.322407679f,
3541    -0.945607325f, -0.325310292f,
3542    -0.944604837f, -0.328209844f,
3543    -0.943593458f, -0.331106306f,
3544    -0.942573198f, -0.333999651f,
3545    -0.941544065f, -0.336889853f,
3546    -0.940506071f, -0.339776884f,
3547    -0.939459224f, -0.342660717f,
3548    -0.938403534f, -0.345541325f,
3549    -0.937339012f, -0.348418680f,
3550    -0.936265667f, -0.351292756f,
3551    -0.935183510f, -0.354163525f,
3552    -0.934092550f, -0.357030961f,
3553    -0.932992799f, -0.359895037f,
3554    -0.931884266f, -0.362755724f,
3555    -0.930766961f, -0.365612998f,
3556    -0.929640896f, -0.368466830f,
3557    -0.928506080f, -0.371317194f,
3558    -0.927362526f, -0.374164063f,
3559    -0.926210242f, -0.377007410f,
3560    -0.925049241f, -0.379847209f,
3561    -0.923879533f, -0.382683432f,
3562    -0.922701128f, -0.385516054f,
3563    -0.921514039f, -0.388345047f,
3564    -0.920318277f, -0.391170384f,
3565    -0.919113852f, -0.393992040f,
3566    -0.917900776f, -0.396809987f,
3567    -0.916679060f, -0.399624200f,
3568    -0.915448716f, -0.402434651f,
3569    -0.914209756f, -0.405241314f,
3570    -0.912962190f, -0.408044163f,
3571    -0.911706032f, -0.410843171f,
3572    -0.910441292f, -0.413638312f,
3573    -0.909167983f, -0.416429560f,
3574    -0.907886116f, -0.419216888f,
3575    -0.906595705f, -0.422000271f,
3576    -0.905296759f, -0.424779681f,
3577    -0.903989293f, -0.427555093f,
3578    -0.902673318f, -0.430326481f,
3579    -0.901348847f, -0.433093819f,
3580    -0.900015892f, -0.435857080f,
3581    -0.898674466f, -0.438616239f,
3582    -0.897324581f, -0.441371269f,
3583    -0.895966250f, -0.444122145f,
3584    -0.894599486f, -0.446868840f,
3585    -0.893224301f, -0.449611330f,
3586    -0.891840709f, -0.452349587f,
3587    -0.890448723f, -0.455083587f,
3588    -0.889048356f, -0.457813304f,
3589    -0.887639620f, -0.460538711f,
3590    -0.886222530f, -0.463259784f,
3591    -0.884797098f, -0.465976496f,
3592    -0.883363339f, -0.468688822f,
3593    -0.881921264f, -0.471396737f,
3594    -0.880470889f, -0.474100215f,
3595    -0.879012226f, -0.476799230f,
3596    -0.877545290f, -0.479493758f,
3597    -0.876070094f, -0.482183772f,
3598    -0.874586652f, -0.484869248f,
3599    -0.873094978f, -0.487550160f,
3600    -0.871595087f, -0.490226483f,
3601    -0.870086991f, -0.492898192f,
3602    -0.868570706f, -0.495565262f,
3603    -0.867046246f, -0.498227667f,
3604    -0.865513624f, -0.500885383f,
3605    -0.863972856f, -0.503538384f,
3606    -0.862423956f, -0.506186645f,
3607    -0.860866939f, -0.508830143f,
3608    -0.859301818f, -0.511468850f,
3609    -0.857728610f, -0.514102744f,
3610    -0.856147328f, -0.516731799f,
3611    -0.854557988f, -0.519355990f,
3612    -0.852960605f, -0.521975293f,
3613    -0.851355193f, -0.524589683f,
3614    -0.849741768f, -0.527199135f,
3615    -0.848120345f, -0.529803625f,
3616    -0.846490939f, -0.532403128f,
3617    -0.844853565f, -0.534997620f,
3618    -0.843208240f, -0.537587076f,
3619    -0.841554977f, -0.540171473f,
3620    -0.839893794f, -0.542750785f,
3621    -0.838224706f, -0.545324988f,
3622    -0.836547727f, -0.547894059f,
3623    -0.834862875f, -0.550457973f,
3624    -0.833170165f, -0.553016706f,
3625    -0.831469612f, -0.555570233f,
3626    -0.829761234f, -0.558118531f,
3627    -0.828045045f, -0.560661576f,
3628    -0.826321063f, -0.563199344f,
3629    -0.824589303f, -0.565731811f,
3630    -0.822849781f, -0.568258953f,
3631    -0.821102515f, -0.570780746f,
3632    -0.819347520f, -0.573297167f,
3633    -0.817584813f, -0.575808191f,
3634    -0.815814411f, -0.578313796f,
3635    -0.814036330f, -0.580813958f,
3636    -0.812250587f, -0.583308653f,
3637    -0.810457198f, -0.585797857f,
3638    -0.808656182f, -0.588281548f,
3639    -0.806847554f, -0.590759702f,
3640    -0.805031331f, -0.593232295f,
3641    -0.803207531f, -0.595699304f,
3642    -0.801376172f, -0.598160707f,
3643    -0.799537269f, -0.600616479f,
3644    -0.797690841f, -0.603066599f,
3645    -0.795836905f, -0.605511041f,
3646    -0.793975478f, -0.607949785f,
3647    -0.792106577f, -0.610382806f,
3648    -0.790230221f, -0.612810082f,
3649    -0.788346428f, -0.615231591f,
3650    -0.786455214f, -0.617647308f,
3651    -0.784556597f, -0.620057212f,
3652    -0.782650596f, -0.622461279f,
3653    -0.780737229f, -0.624859488f,
3654    -0.778816512f, -0.627251815f,
3655    -0.776888466f, -0.629638239f,
3656    -0.774953107f, -0.632018736f,
3657    -0.773010453f, -0.634393284f,
3658    -0.771060524f, -0.636761861f,
3659    -0.769103338f, -0.639124445f,
3660    -0.767138912f, -0.641481013f,
3661    -0.765167266f, -0.643831543f,
3662    -0.763188417f, -0.646176013f,
3663    -0.761202385f, -0.648514401f,
3664    -0.759209189f, -0.650846685f,
3665    -0.757208847f, -0.653172843f,
3666    -0.755201377f, -0.655492853f,
3667    -0.753186799f, -0.657806693f,
3668    -0.751165132f, -0.660114342f,
3669    -0.749136395f, -0.662415778f,
3670    -0.747100606f, -0.664710978f,
3671    -0.745057785f, -0.666999922f,
3672    -0.743007952f, -0.669282588f,
3673    -0.740951125f, -0.671558955f,
3674    -0.738887324f, -0.673829000f,
3675    -0.736816569f, -0.676092704f,
3676    -0.734738878f, -0.678350043f,
3677    -0.732654272f, -0.680600998f,
3678    -0.730562769f, -0.682845546f,
3679    -0.728464390f, -0.685083668f,
3680    -0.726359155f, -0.687315341f,
3681    -0.724247083f, -0.689540545f,
3682    -0.722128194f, -0.691759258f,
3683    -0.720002508f, -0.693971461f,
3684    -0.717870045f, -0.696177131f,
3685    -0.715730825f, -0.698376249f,
3686    -0.713584869f, -0.700568794f,
3687    -0.711432196f, -0.702754744f,
3688    -0.709272826f, -0.704934080f,
3689    -0.707106781f, -0.707106781f,
3690    -0.704934080f, -0.709272826f,
3691    -0.702754744f, -0.711432196f,
3692    -0.700568794f, -0.713584869f,
3693    -0.698376249f, -0.715730825f,
3694    -0.696177131f, -0.717870045f,
3695    -0.693971461f, -0.720002508f,
3696    -0.691759258f, -0.722128194f,
3697    -0.689540545f, -0.724247083f,
3698    -0.687315341f, -0.726359155f,
3699    -0.685083668f, -0.728464390f,
3700    -0.682845546f, -0.730562769f,
3701    -0.680600998f, -0.732654272f,
3702    -0.678350043f, -0.734738878f,
3703    -0.676092704f, -0.736816569f,
3704    -0.673829000f, -0.738887324f,
3705    -0.671558955f, -0.740951125f,
3706    -0.669282588f, -0.743007952f,
3707    -0.666999922f, -0.745057785f,
3708    -0.664710978f, -0.747100606f,
3709    -0.662415778f, -0.749136395f,
3710    -0.660114342f, -0.751165132f,
3711    -0.657806693f, -0.753186799f,
3712    -0.655492853f, -0.755201377f,
3713    -0.653172843f, -0.757208847f,
3714    -0.650846685f, -0.759209189f,
3715    -0.648514401f, -0.761202385f,
3716    -0.646176013f, -0.763188417f,
3717    -0.643831543f, -0.765167266f,
3718    -0.641481013f, -0.767138912f,
3719    -0.639124445f, -0.769103338f,
3720    -0.636761861f, -0.771060524f,
3721    -0.634393284f, -0.773010453f,
3722    -0.632018736f, -0.774953107f,
3723    -0.629638239f, -0.776888466f,
3724    -0.627251815f, -0.778816512f,
3725    -0.624859488f, -0.780737229f,
3726    -0.622461279f, -0.782650596f,
3727    -0.620057212f, -0.784556597f,
3728    -0.617647308f, -0.786455214f,
3729    -0.615231591f, -0.788346428f,
3730    -0.612810082f, -0.790230221f,
3731    -0.610382806f, -0.792106577f,
3732    -0.607949785f, -0.793975478f,
3733    -0.605511041f, -0.795836905f,
3734    -0.603066599f, -0.797690841f,
3735    -0.600616479f, -0.799537269f,
3736    -0.598160707f, -0.801376172f,
3737    -0.595699304f, -0.803207531f,
3738    -0.593232295f, -0.805031331f,
3739    -0.590759702f, -0.806847554f,
3740    -0.588281548f, -0.808656182f,
3741    -0.585797857f, -0.810457198f,
3742    -0.583308653f, -0.812250587f,
3743    -0.580813958f, -0.814036330f,
3744    -0.578313796f, -0.815814411f,
3745    -0.575808191f, -0.817584813f,
3746    -0.573297167f, -0.819347520f,
3747    -0.570780746f, -0.821102515f,
3748    -0.568258953f, -0.822849781f,
3749    -0.565731811f, -0.824589303f,
3750    -0.563199344f, -0.826321063f,
3751    -0.560661576f, -0.828045045f,
3752    -0.558118531f, -0.829761234f,
3753    -0.555570233f, -0.831469612f,
3754    -0.553016706f, -0.833170165f,
3755    -0.550457973f, -0.834862875f,
3756    -0.547894059f, -0.836547727f,
3757    -0.545324988f, -0.838224706f,
3758    -0.542750785f, -0.839893794f,
3759    -0.540171473f, -0.841554977f,
3760    -0.537587076f, -0.843208240f,
3761    -0.534997620f, -0.844853565f,
3762    -0.532403128f, -0.846490939f,
3763    -0.529803625f, -0.848120345f,
3764    -0.527199135f, -0.849741768f,
3765    -0.524589683f, -0.851355193f,
3766    -0.521975293f, -0.852960605f,
3767    -0.519355990f, -0.854557988f,
3768    -0.516731799f, -0.856147328f,
3769    -0.514102744f, -0.857728610f,
3770    -0.511468850f, -0.859301818f,
3771    -0.508830143f, -0.860866939f,
3772    -0.506186645f, -0.862423956f,
3773    -0.503538384f, -0.863972856f,
3774    -0.500885383f, -0.865513624f,
3775    -0.498227667f, -0.867046246f,
3776    -0.495565262f, -0.868570706f,
3777    -0.492898192f, -0.870086991f,
3778    -0.490226483f, -0.871595087f,
3779    -0.487550160f, -0.873094978f,
3780    -0.484869248f, -0.874586652f,
3781    -0.482183772f, -0.876070094f,
3782    -0.479493758f, -0.877545290f,
3783    -0.476799230f, -0.879012226f,
3784    -0.474100215f, -0.880470889f,
3785    -0.471396737f, -0.881921264f,
3786    -0.468688822f, -0.883363339f,
3787    -0.465976496f, -0.884797098f,
3788    -0.463259784f, -0.886222530f,
3789    -0.460538711f, -0.887639620f,
3790    -0.457813304f, -0.889048356f,
3791    -0.455083587f, -0.890448723f,
3792    -0.452349587f, -0.891840709f,
3793    -0.449611330f, -0.893224301f,
3794    -0.446868840f, -0.894599486f,
3795    -0.444122145f, -0.895966250f,
3796    -0.441371269f, -0.897324581f,
3797    -0.438616239f, -0.898674466f,
3798    -0.435857080f, -0.900015892f,
3799    -0.433093819f, -0.901348847f,
3800    -0.430326481f, -0.902673318f,
3801    -0.427555093f, -0.903989293f,
3802    -0.424779681f, -0.905296759f,
3803    -0.422000271f, -0.906595705f,
3804    -0.419216888f, -0.907886116f,
3805    -0.416429560f, -0.909167983f,
3806    -0.413638312f, -0.910441292f,
3807    -0.410843171f, -0.911706032f,
3808    -0.408044163f, -0.912962190f,
3809    -0.405241314f, -0.914209756f,
3810    -0.402434651f, -0.915448716f,
3811    -0.399624200f, -0.916679060f,
3812    -0.396809987f, -0.917900776f,
3813    -0.393992040f, -0.919113852f,
3814    -0.391170384f, -0.920318277f,
3815    -0.388345047f, -0.921514039f,
3816    -0.385516054f, -0.922701128f,
3817    -0.382683432f, -0.923879533f,
3818    -0.379847209f, -0.925049241f,
3819    -0.377007410f, -0.926210242f,
3820    -0.374164063f, -0.927362526f,
3821    -0.371317194f, -0.928506080f,
3822    -0.368466830f, -0.929640896f,
3823    -0.365612998f, -0.930766961f,
3824    -0.362755724f, -0.931884266f,
3825    -0.359895037f, -0.932992799f,
3826    -0.357030961f, -0.934092550f,
3827    -0.354163525f, -0.935183510f,
3828    -0.351292756f, -0.936265667f,
3829    -0.348418680f, -0.937339012f,
3830    -0.345541325f, -0.938403534f,
3831    -0.342660717f, -0.939459224f,
3832    -0.339776884f, -0.940506071f,
3833    -0.336889853f, -0.941544065f,
3834    -0.333999651f, -0.942573198f,
3835    -0.331106306f, -0.943593458f,
3836    -0.328209844f, -0.944604837f,
3837    -0.325310292f, -0.945607325f,
3838    -0.322407679f, -0.946600913f,
3839    -0.319502031f, -0.947585591f,
3840    -0.316593376f, -0.948561350f,
3841    -0.313681740f, -0.949528181f,
3842    -0.310767153f, -0.950486074f,
3843    -0.307849640f, -0.951435021f,
3844    -0.304929230f, -0.952375013f,
3845    -0.302005949f, -0.953306040f,
3846    -0.299079826f, -0.954228095f,
3847    -0.296150888f, -0.955141168f,
3848    -0.293219163f, -0.956045251f,
3849    -0.290284677f, -0.956940336f,
3850    -0.287347460f, -0.957826413f,
3851    -0.284407537f, -0.958703475f,
3852    -0.281464938f, -0.959571513f,
3853    -0.278519689f, -0.960430519f,
3854    -0.275571819f, -0.961280486f,
3855    -0.272621355f, -0.962121404f,
3856    -0.269668326f, -0.962953267f,
3857    -0.266712757f, -0.963776066f,
3858    -0.263754679f, -0.964589793f,
3859    -0.260794118f, -0.965394442f,
3860    -0.257831102f, -0.966190003f,
3861    -0.254865660f, -0.966976471f,
3862    -0.251897818f, -0.967753837f,
3863    -0.248927606f, -0.968522094f,
3864    -0.245955050f, -0.969281235f,
3865    -0.242980180f, -0.970031253f,
3866    -0.240003022f, -0.970772141f,
3867    -0.237023606f, -0.971503891f,
3868    -0.234041959f, -0.972226497f,
3869    -0.231058108f, -0.972939952f,
3870    -0.228072083f, -0.973644250f,
3871    -0.225083911f, -0.974339383f,
3872    -0.222093621f, -0.975025345f,
3873    -0.219101240f, -0.975702130f,
3874    -0.216106797f, -0.976369731f,
3875    -0.213110320f, -0.977028143f,
3876    -0.210111837f, -0.977677358f,
3877    -0.207111376f, -0.978317371f,
3878    -0.204108966f, -0.978948175f,
3879    -0.201104635f, -0.979569766f,
3880    -0.198098411f, -0.980182136f,
3881    -0.195090322f, -0.980785280f,
3882    -0.192080397f, -0.981379193f,
3883    -0.189068664f, -0.981963869f,
3884    -0.186055152f, -0.982539302f,
3885    -0.183039888f, -0.983105487f,
3886    -0.180022901f, -0.983662419f,
3887    -0.177004220f, -0.984210092f,
3888    -0.173983873f, -0.984748502f,
3889    -0.170961889f, -0.985277642f,
3890    -0.167938295f, -0.985797509f,
3891    -0.164913120f, -0.986308097f,
3892    -0.161886394f, -0.986809402f,
3893    -0.158858143f, -0.987301418f,
3894    -0.155828398f, -0.987784142f,
3895    -0.152797185f, -0.988257568f,
3896    -0.149764535f, -0.988721692f,
3897    -0.146730474f, -0.989176510f,
3898    -0.143695033f, -0.989622017f,
3899    -0.140658239f, -0.990058210f,
3900    -0.137620122f, -0.990485084f,
3901    -0.134580709f, -0.990902635f,
3902    -0.131540029f, -0.991310860f,
3903    -0.128498111f, -0.991709754f,
3904    -0.125454983f, -0.992099313f,
3905    -0.122410675f, -0.992479535f,
3906    -0.119365215f, -0.992850414f,
3907    -0.116318631f, -0.993211949f,
3908    -0.113270952f, -0.993564136f,
3909    -0.110222207f, -0.993906970f,
3910    -0.107172425f, -0.994240449f,
3911    -0.104121634f, -0.994564571f,
3912    -0.101069863f, -0.994879331f,
3913    -0.098017140f, -0.995184727f,
3914    -0.094963495f, -0.995480755f,
3915    -0.091908956f, -0.995767414f,
3916    -0.088853553f, -0.996044701f,
3917    -0.085797312f, -0.996312612f,
3918    -0.082740265f, -0.996571146f,
3919    -0.079682438f, -0.996820299f,
3920    -0.076623861f, -0.997060070f,
3921    -0.073564564f, -0.997290457f,
3922    -0.070504573f, -0.997511456f,
3923    -0.067443920f, -0.997723067f,
3924    -0.064382631f, -0.997925286f,
3925    -0.061320736f, -0.998118113f,
3926    -0.058258265f, -0.998301545f,
3927    -0.055195244f, -0.998475581f,
3928    -0.052131705f, -0.998640218f,
3929    -0.049067674f, -0.998795456f,
3930    -0.046003182f, -0.998941293f,
3931    -0.042938257f, -0.999077728f,
3932    -0.039872928f, -0.999204759f,
3933    -0.036807223f, -0.999322385f,
3934    -0.033741172f, -0.999430605f,
3935    -0.030674803f, -0.999529418f,
3936    -0.027608146f, -0.999618822f,
3937    -0.024541229f, -0.999698819f,
3938    -0.021474080f, -0.999769405f,
3939    -0.018406730f, -0.999830582f,
3940    -0.015339206f, -0.999882347f,
3941    -0.012271538f, -0.999924702f,
3942    -0.009203755f, -0.999957645f,
3943    -0.006135885f, -0.999981175f,
3944    -0.003067957f, -0.999995294f,
3945    -0.000000000f, -1.000000000f,
3946     0.003067957f, -0.999995294f,
3947     0.006135885f, -0.999981175f,
3948     0.009203755f, -0.999957645f,
3949     0.012271538f, -0.999924702f,
3950     0.015339206f, -0.999882347f,
3951     0.018406730f, -0.999830582f,
3952     0.021474080f, -0.999769405f,
3953     0.024541229f, -0.999698819f,
3954     0.027608146f, -0.999618822f,
3955     0.030674803f, -0.999529418f,
3956     0.033741172f, -0.999430605f,
3957     0.036807223f, -0.999322385f,
3958     0.039872928f, -0.999204759f,
3959     0.042938257f, -0.999077728f,
3960     0.046003182f, -0.998941293f,
3961     0.049067674f, -0.998795456f,
3962     0.052131705f, -0.998640218f,
3963     0.055195244f, -0.998475581f,
3964     0.058258265f, -0.998301545f,
3965     0.061320736f, -0.998118113f,
3966     0.064382631f, -0.997925286f,
3967     0.067443920f, -0.997723067f,
3968     0.070504573f, -0.997511456f,
3969     0.073564564f, -0.997290457f,
3970     0.076623861f, -0.997060070f,
3971     0.079682438f, -0.996820299f,
3972     0.082740265f, -0.996571146f,
3973     0.085797312f, -0.996312612f,
3974     0.088853553f, -0.996044701f,
3975     0.091908956f, -0.995767414f,
3976     0.094963495f, -0.995480755f,
3977     0.098017140f, -0.995184727f,
3978     0.101069863f, -0.994879331f,
3979     0.104121634f, -0.994564571f,
3980     0.107172425f, -0.994240449f,
3981     0.110222207f, -0.993906970f,
3982     0.113270952f, -0.993564136f,
3983     0.116318631f, -0.993211949f,
3984     0.119365215f, -0.992850414f,
3985     0.122410675f, -0.992479535f,
3986     0.125454983f, -0.992099313f,
3987     0.128498111f, -0.991709754f,
3988     0.131540029f, -0.991310860f,
3989     0.134580709f, -0.990902635f,
3990     0.137620122f, -0.990485084f,
3991     0.140658239f, -0.990058210f,
3992     0.143695033f, -0.989622017f,
3993     0.146730474f, -0.989176510f,
3994     0.149764535f, -0.988721692f,
3995     0.152797185f, -0.988257568f,
3996     0.155828398f, -0.987784142f,
3997     0.158858143f, -0.987301418f,
3998     0.161886394f, -0.986809402f,
3999     0.164913120f, -0.986308097f,
4000     0.167938295f, -0.985797509f,
4001     0.170961889f, -0.985277642f,
4002     0.173983873f, -0.984748502f,
4003     0.177004220f, -0.984210092f,
4004     0.180022901f, -0.983662419f,
4005     0.183039888f, -0.983105487f,
4006     0.186055152f, -0.982539302f,
4007     0.189068664f, -0.981963869f,
4008     0.192080397f, -0.981379193f,
4009     0.195090322f, -0.980785280f,
4010     0.198098411f, -0.980182136f,
4011     0.201104635f, -0.979569766f,
4012     0.204108966f, -0.978948175f,
4013     0.207111376f, -0.978317371f,
4014     0.210111837f, -0.977677358f,
4015     0.213110320f, -0.977028143f,
4016     0.216106797f, -0.976369731f,
4017     0.219101240f, -0.975702130f,
4018     0.222093621f, -0.975025345f,
4019     0.225083911f, -0.974339383f,
4020     0.228072083f, -0.973644250f,
4021     0.231058108f, -0.972939952f,
4022     0.234041959f, -0.972226497f,
4023     0.237023606f, -0.971503891f,
4024     0.240003022f, -0.970772141f,
4025     0.242980180f, -0.970031253f,
4026     0.245955050f, -0.969281235f,
4027     0.248927606f, -0.968522094f,
4028     0.251897818f, -0.967753837f,
4029     0.254865660f, -0.966976471f,
4030     0.257831102f, -0.966190003f,
4031     0.260794118f, -0.965394442f,
4032     0.263754679f, -0.964589793f,
4033     0.266712757f, -0.963776066f,
4034     0.269668326f, -0.962953267f,
4035     0.272621355f, -0.962121404f,
4036     0.275571819f, -0.961280486f,
4037     0.278519689f, -0.960430519f,
4038     0.281464938f, -0.959571513f,
4039     0.284407537f, -0.958703475f,
4040     0.287347460f, -0.957826413f,
4041     0.290284677f, -0.956940336f,
4042     0.293219163f, -0.956045251f,
4043     0.296150888f, -0.955141168f,
4044     0.299079826f, -0.954228095f,
4045     0.302005949f, -0.953306040f,
4046     0.304929230f, -0.952375013f,
4047     0.307849640f, -0.951435021f,
4048     0.310767153f, -0.950486074f,
4049     0.313681740f, -0.949528181f,
4050     0.316593376f, -0.948561350f,
4051     0.319502031f, -0.947585591f,
4052     0.322407679f, -0.946600913f,
4053     0.325310292f, -0.945607325f,
4054     0.328209844f, -0.944604837f,
4055     0.331106306f, -0.943593458f,
4056     0.333999651f, -0.942573198f,
4057     0.336889853f, -0.941544065f,
4058     0.339776884f, -0.940506071f,
4059     0.342660717f, -0.939459224f,
4060     0.345541325f, -0.938403534f,
4061     0.348418680f, -0.937339012f,
4062     0.351292756f, -0.936265667f,
4063     0.354163525f, -0.935183510f,
4064     0.357030961f, -0.934092550f,
4065     0.359895037f, -0.932992799f,
4066     0.362755724f, -0.931884266f,
4067     0.365612998f, -0.930766961f,
4068     0.368466830f, -0.929640896f,
4069     0.371317194f, -0.928506080f,
4070     0.374164063f, -0.927362526f,
4071     0.377007410f, -0.926210242f,
4072     0.379847209f, -0.925049241f,
4073     0.382683432f, -0.923879533f,
4074     0.385516054f, -0.922701128f,
4075     0.388345047f, -0.921514039f,
4076     0.391170384f, -0.920318277f,
4077     0.393992040f, -0.919113852f,
4078     0.396809987f, -0.917900776f,
4079     0.399624200f, -0.916679060f,
4080     0.402434651f, -0.915448716f,
4081     0.405241314f, -0.914209756f,
4082     0.408044163f, -0.912962190f,
4083     0.410843171f, -0.911706032f,
4084     0.413638312f, -0.910441292f,
4085     0.416429560f, -0.909167983f,
4086     0.419216888f, -0.907886116f,
4087     0.422000271f, -0.906595705f,
4088     0.424779681f, -0.905296759f,
4089     0.427555093f, -0.903989293f,
4090     0.430326481f, -0.902673318f,
4091     0.433093819f, -0.901348847f,
4092     0.435857080f, -0.900015892f,
4093     0.438616239f, -0.898674466f,
4094     0.441371269f, -0.897324581f,
4095     0.444122145f, -0.895966250f,
4096     0.446868840f, -0.894599486f,
4097     0.449611330f, -0.893224301f,
4098     0.452349587f, -0.891840709f,
4099     0.455083587f, -0.890448723f,
4100     0.457813304f, -0.889048356f,
4101     0.460538711f, -0.887639620f,
4102     0.463259784f, -0.886222530f,
4103     0.465976496f, -0.884797098f,
4104     0.468688822f, -0.883363339f,
4105     0.471396737f, -0.881921264f,
4106     0.474100215f, -0.880470889f,
4107     0.476799230f, -0.879012226f,
4108     0.479493758f, -0.877545290f,
4109     0.482183772f, -0.876070094f,
4110     0.484869248f, -0.874586652f,
4111     0.487550160f, -0.873094978f,
4112     0.490226483f, -0.871595087f,
4113     0.492898192f, -0.870086991f,
4114     0.495565262f, -0.868570706f,
4115     0.498227667f, -0.867046246f,
4116     0.500885383f, -0.865513624f,
4117     0.503538384f, -0.863972856f,
4118     0.506186645f, -0.862423956f,
4119     0.508830143f, -0.860866939f,
4120     0.511468850f, -0.859301818f,
4121     0.514102744f, -0.857728610f,
4122     0.516731799f, -0.856147328f,
4123     0.519355990f, -0.854557988f,
4124     0.521975293f, -0.852960605f,
4125     0.524589683f, -0.851355193f,
4126     0.527199135f, -0.849741768f,
4127     0.529803625f, -0.848120345f,
4128     0.532403128f, -0.846490939f,
4129     0.534997620f, -0.844853565f,
4130     0.537587076f, -0.843208240f,
4131     0.540171473f, -0.841554977f,
4132     0.542750785f, -0.839893794f,
4133     0.545324988f, -0.838224706f,
4134     0.547894059f, -0.836547727f,
4135     0.550457973f, -0.834862875f,
4136     0.553016706f, -0.833170165f,
4137     0.555570233f, -0.831469612f,
4138     0.558118531f, -0.829761234f,
4139     0.560661576f, -0.828045045f,
4140     0.563199344f, -0.826321063f,
4141     0.565731811f, -0.824589303f,
4142     0.568258953f, -0.822849781f,
4143     0.570780746f, -0.821102515f,
4144     0.573297167f, -0.819347520f,
4145     0.575808191f, -0.817584813f,
4146     0.578313796f, -0.815814411f,
4147     0.580813958f, -0.814036330f,
4148     0.583308653f, -0.812250587f,
4149     0.585797857f, -0.810457198f,
4150     0.588281548f, -0.808656182f,
4151     0.590759702f, -0.806847554f,
4152     0.593232295f, -0.805031331f,
4153     0.595699304f, -0.803207531f,
4154     0.598160707f, -0.801376172f,
4155     0.600616479f, -0.799537269f,
4156     0.603066599f, -0.797690841f,
4157     0.605511041f, -0.795836905f,
4158     0.607949785f, -0.793975478f,
4159     0.610382806f, -0.792106577f,
4160     0.612810082f, -0.790230221f,
4161     0.615231591f, -0.788346428f,
4162     0.617647308f, -0.786455214f,
4163     0.620057212f, -0.784556597f,
4164     0.622461279f, -0.782650596f,
4165     0.624859488f, -0.780737229f,
4166     0.627251815f, -0.778816512f,
4167     0.629638239f, -0.776888466f,
4168     0.632018736f, -0.774953107f,
4169     0.634393284f, -0.773010453f,
4170     0.636761861f, -0.771060524f,
4171     0.639124445f, -0.769103338f,
4172     0.641481013f, -0.767138912f,
4173     0.643831543f, -0.765167266f,
4174     0.646176013f, -0.763188417f,
4175     0.648514401f, -0.761202385f,
4176     0.650846685f, -0.759209189f,
4177     0.653172843f, -0.757208847f,
4178     0.655492853f, -0.755201377f,
4179     0.657806693f, -0.753186799f,
4180     0.660114342f, -0.751165132f,
4181     0.662415778f, -0.749136395f,
4182     0.664710978f, -0.747100606f,
4183     0.666999922f, -0.745057785f,
4184     0.669282588f, -0.743007952f,
4185     0.671558955f, -0.740951125f,
4186     0.673829000f, -0.738887324f,
4187     0.676092704f, -0.736816569f,
4188     0.678350043f, -0.734738878f,
4189     0.680600998f, -0.732654272f,
4190     0.682845546f, -0.730562769f,
4191     0.685083668f, -0.728464390f,
4192     0.687315341f, -0.726359155f,
4193     0.689540545f, -0.724247083f,
4194     0.691759258f, -0.722128194f,
4195     0.693971461f, -0.720002508f,
4196     0.696177131f, -0.717870045f,
4197     0.698376249f, -0.715730825f,
4198     0.700568794f, -0.713584869f,
4199     0.702754744f, -0.711432196f,
4200     0.704934080f, -0.709272826f,
4201     0.707106781f, -0.707106781f,
4202     0.709272826f, -0.704934080f,
4203     0.711432196f, -0.702754744f,
4204     0.713584869f, -0.700568794f,
4205     0.715730825f, -0.698376249f,
4206     0.717870045f, -0.696177131f,
4207     0.720002508f, -0.693971461f,
4208     0.722128194f, -0.691759258f,
4209     0.724247083f, -0.689540545f,
4210     0.726359155f, -0.687315341f,
4211     0.728464390f, -0.685083668f,
4212     0.730562769f, -0.682845546f,
4213     0.732654272f, -0.680600998f,
4214     0.734738878f, -0.678350043f,
4215     0.736816569f, -0.676092704f,
4216     0.738887324f, -0.673829000f,
4217     0.740951125f, -0.671558955f,
4218     0.743007952f, -0.669282588f,
4219     0.745057785f, -0.666999922f,
4220     0.747100606f, -0.664710978f,
4221     0.749136395f, -0.662415778f,
4222     0.751165132f, -0.660114342f,
4223     0.753186799f, -0.657806693f,
4224     0.755201377f, -0.655492853f,
4225     0.757208847f, -0.653172843f,
4226     0.759209189f, -0.650846685f,
4227     0.761202385f, -0.648514401f,
4228     0.763188417f, -0.646176013f,
4229     0.765167266f, -0.643831543f,
4230     0.767138912f, -0.641481013f,
4231     0.769103338f, -0.639124445f,
4232     0.771060524f, -0.636761861f,
4233     0.773010453f, -0.634393284f,
4234     0.774953107f, -0.632018736f,
4235     0.776888466f, -0.629638239f,
4236     0.778816512f, -0.627251815f,
4237     0.780737229f, -0.624859488f,
4238     0.782650596f, -0.622461279f,
4239     0.784556597f, -0.620057212f,
4240     0.786455214f, -0.617647308f,
4241     0.788346428f, -0.615231591f,
4242     0.790230221f, -0.612810082f,
4243     0.792106577f, -0.610382806f,
4244     0.793975478f, -0.607949785f,
4245     0.795836905f, -0.605511041f,
4246     0.797690841f, -0.603066599f,
4247     0.799537269f, -0.600616479f,
4248     0.801376172f, -0.598160707f,
4249     0.803207531f, -0.595699304f,
4250     0.805031331f, -0.593232295f,
4251     0.806847554f, -0.590759702f,
4252     0.808656182f, -0.588281548f,
4253     0.810457198f, -0.585797857f,
4254     0.812250587f, -0.583308653f,
4255     0.814036330f, -0.580813958f,
4256     0.815814411f, -0.578313796f,
4257     0.817584813f, -0.575808191f,
4258     0.819347520f, -0.573297167f,
4259     0.821102515f, -0.570780746f,
4260     0.822849781f, -0.568258953f,
4261     0.824589303f, -0.565731811f,
4262     0.826321063f, -0.563199344f,
4263     0.828045045f, -0.560661576f,
4264     0.829761234f, -0.558118531f,
4265     0.831469612f, -0.555570233f,
4266     0.833170165f, -0.553016706f,
4267     0.834862875f, -0.550457973f,
4268     0.836547727f, -0.547894059f,
4269     0.838224706f, -0.545324988f,
4270     0.839893794f, -0.542750785f,
4271     0.841554977f, -0.540171473f,
4272     0.843208240f, -0.537587076f,
4273     0.844853565f, -0.534997620f,
4274     0.846490939f, -0.532403128f,
4275     0.848120345f, -0.529803625f,
4276     0.849741768f, -0.527199135f,
4277     0.851355193f, -0.524589683f,
4278     0.852960605f, -0.521975293f,
4279     0.854557988f, -0.519355990f,
4280     0.856147328f, -0.516731799f,
4281     0.857728610f, -0.514102744f,
4282     0.859301818f, -0.511468850f,
4283     0.860866939f, -0.508830143f,
4284     0.862423956f, -0.506186645f,
4285     0.863972856f, -0.503538384f,
4286     0.865513624f, -0.500885383f,
4287     0.867046246f, -0.498227667f,
4288     0.868570706f, -0.495565262f,
4289     0.870086991f, -0.492898192f,
4290     0.871595087f, -0.490226483f,
4291     0.873094978f, -0.487550160f,
4292     0.874586652f, -0.484869248f,
4293     0.876070094f, -0.482183772f,
4294     0.877545290f, -0.479493758f,
4295     0.879012226f, -0.476799230f,
4296     0.880470889f, -0.474100215f,
4297     0.881921264f, -0.471396737f,
4298     0.883363339f, -0.468688822f,
4299     0.884797098f, -0.465976496f,
4300     0.886222530f, -0.463259784f,
4301     0.887639620f, -0.460538711f,
4302     0.889048356f, -0.457813304f,
4303     0.890448723f, -0.455083587f,
4304     0.891840709f, -0.452349587f,
4305     0.893224301f, -0.449611330f,
4306     0.894599486f, -0.446868840f,
4307     0.895966250f, -0.444122145f,
4308     0.897324581f, -0.441371269f,
4309     0.898674466f, -0.438616239f,
4310     0.900015892f, -0.435857080f,
4311     0.901348847f, -0.433093819f,
4312     0.902673318f, -0.430326481f,
4313     0.903989293f, -0.427555093f,
4314     0.905296759f, -0.424779681f,
4315     0.906595705f, -0.422000271f,
4316     0.907886116f, -0.419216888f,
4317     0.909167983f, -0.416429560f,
4318     0.910441292f, -0.413638312f,
4319     0.911706032f, -0.410843171f,
4320     0.912962190f, -0.408044163f,
4321     0.914209756f, -0.405241314f,
4322     0.915448716f, -0.402434651f,
4323     0.916679060f, -0.399624200f,
4324     0.917900776f, -0.396809987f,
4325     0.919113852f, -0.393992040f,
4326     0.920318277f, -0.391170384f,
4327     0.921514039f, -0.388345047f,
4328     0.922701128f, -0.385516054f,
4329     0.923879533f, -0.382683432f,
4330     0.925049241f, -0.379847209f,
4331     0.926210242f, -0.377007410f,
4332     0.927362526f, -0.374164063f,
4333     0.928506080f, -0.371317194f,
4334     0.929640896f, -0.368466830f,
4335     0.930766961f, -0.365612998f,
4336     0.931884266f, -0.362755724f,
4337     0.932992799f, -0.359895037f,
4338     0.934092550f, -0.357030961f,
4339     0.935183510f, -0.354163525f,
4340     0.936265667f, -0.351292756f,
4341     0.937339012f, -0.348418680f,
4342     0.938403534f, -0.345541325f,
4343     0.939459224f, -0.342660717f,
4344     0.940506071f, -0.339776884f,
4345     0.941544065f, -0.336889853f,
4346     0.942573198f, -0.333999651f,
4347     0.943593458f, -0.331106306f,
4348     0.944604837f, -0.328209844f,
4349     0.945607325f, -0.325310292f,
4350     0.946600913f, -0.322407679f,
4351     0.947585591f, -0.319502031f,
4352     0.948561350f, -0.316593376f,
4353     0.949528181f, -0.313681740f,
4354     0.950486074f, -0.310767153f,
4355     0.951435021f, -0.307849640f,
4356     0.952375013f, -0.304929230f,
4357     0.953306040f, -0.302005949f,
4358     0.954228095f, -0.299079826f,
4359     0.955141168f, -0.296150888f,
4360     0.956045251f, -0.293219163f,
4361     0.956940336f, -0.290284677f,
4362     0.957826413f, -0.287347460f,
4363     0.958703475f, -0.284407537f,
4364     0.959571513f, -0.281464938f,
4365     0.960430519f, -0.278519689f,
4366     0.961280486f, -0.275571819f,
4367     0.962121404f, -0.272621355f,
4368     0.962953267f, -0.269668326f,
4369     0.963776066f, -0.266712757f,
4370     0.964589793f, -0.263754679f,
4371     0.965394442f, -0.260794118f,
4372     0.966190003f, -0.257831102f,
4373     0.966976471f, -0.254865660f,
4374     0.967753837f, -0.251897818f,
4375     0.968522094f, -0.248927606f,
4376     0.969281235f, -0.245955050f,
4377     0.970031253f, -0.242980180f,
4378     0.970772141f, -0.240003022f,
4379     0.971503891f, -0.237023606f,
4380     0.972226497f, -0.234041959f,
4381     0.972939952f, -0.231058108f,
4382     0.973644250f, -0.228072083f,
4383     0.974339383f, -0.225083911f,
4384     0.975025345f, -0.222093621f,
4385     0.975702130f, -0.219101240f,
4386     0.976369731f, -0.216106797f,
4387     0.977028143f, -0.213110320f,
4388     0.977677358f, -0.210111837f,
4389     0.978317371f, -0.207111376f,
4390     0.978948175f, -0.204108966f,
4391     0.979569766f, -0.201104635f,
4392     0.980182136f, -0.198098411f,
4393     0.980785280f, -0.195090322f,
4394     0.981379193f, -0.192080397f,
4395     0.981963869f, -0.189068664f,
4396     0.982539302f, -0.186055152f,
4397     0.983105487f, -0.183039888f,
4398     0.983662419f, -0.180022901f,
4399     0.984210092f, -0.177004220f,
4400     0.984748502f, -0.173983873f,
4401     0.985277642f, -0.170961889f,
4402     0.985797509f, -0.167938295f,
4403     0.986308097f, -0.164913120f,
4404     0.986809402f, -0.161886394f,
4405     0.987301418f, -0.158858143f,
4406     0.987784142f, -0.155828398f,
4407     0.988257568f, -0.152797185f,
4408     0.988721692f, -0.149764535f,
4409     0.989176510f, -0.146730474f,
4410     0.989622017f, -0.143695033f,
4411     0.990058210f, -0.140658239f,
4412     0.990485084f, -0.137620122f,
4413     0.990902635f, -0.134580709f,
4414     0.991310860f, -0.131540029f,
4415     0.991709754f, -0.128498111f,
4416     0.992099313f, -0.125454983f,
4417     0.992479535f, -0.122410675f,
4418     0.992850414f, -0.119365215f,
4419     0.993211949f, -0.116318631f,
4420     0.993564136f, -0.113270952f,
4421     0.993906970f, -0.110222207f,
4422     0.994240449f, -0.107172425f,
4423     0.994564571f, -0.104121634f,
4424     0.994879331f, -0.101069863f,
4425     0.995184727f, -0.098017140f,
4426     0.995480755f, -0.094963495f,
4427     0.995767414f, -0.091908956f,
4428     0.996044701f, -0.088853553f,
4429     0.996312612f, -0.085797312f,
4430     0.996571146f, -0.082740265f,
4431     0.996820299f, -0.079682438f,
4432     0.997060070f, -0.076623861f,
4433     0.997290457f, -0.073564564f,
4434     0.997511456f, -0.070504573f,
4435     0.997723067f, -0.067443920f,
4436     0.997925286f, -0.064382631f,
4437     0.998118113f, -0.061320736f,
4438     0.998301545f, -0.058258265f,
4439     0.998475581f, -0.055195244f,
4440     0.998640218f, -0.052131705f,
4441     0.998795456f, -0.049067674f,
4442     0.998941293f, -0.046003182f,
4443     0.999077728f, -0.042938257f,
4444     0.999204759f, -0.039872928f,
4445     0.999322385f, -0.036807223f,
4446     0.999430605f, -0.033741172f,
4447     0.999529418f, -0.030674803f,
4448     0.999618822f, -0.027608146f,
4449     0.999698819f, -0.024541229f,
4450     0.999769405f, -0.021474080f,
4451     0.999830582f, -0.018406730f,
4452     0.999882347f, -0.015339206f,
4453     0.999924702f, -0.012271538f,
4454     0.999957645f, -0.009203755f,
4455     0.999981175f, -0.006135885f,
4456     0.999995294f, -0.003067957f
4457 };
4458
4459 /**
4460 * \par
4461 * Example code for Floating-point Twiddle factors Generation:
4462 * \par
4463 * <pre>for(i = 0; i< N/; i++)
4464 * {
4465 *       twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
4466 *       twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
4467 * } </pre>
4468 * \par
4469 * where N = 4096        and PI = 3.14159265358979
4470 * \par
4471 * Cos and Sin values are in interleaved fashion
4472 *
4473 */
4474 const float32_t twiddleCoef_4096[8192] = {
4475     1.000000000f,  0.000000000f,
4476     0.999998823f,  0.001533980f,
4477     0.999995294f,  0.003067957f,
4478     0.999989411f,  0.004601926f,
4479     0.999981175f,  0.006135885f,
4480     0.999970586f,  0.007669829f,
4481     0.999957645f,  0.009203755f,
4482     0.999942350f,  0.010737659f,
4483     0.999924702f,  0.012271538f,
4484     0.999904701f,  0.013805389f,
4485     0.999882347f,  0.015339206f,
4486     0.999857641f,  0.016872988f,
4487     0.999830582f,  0.018406730f,
4488     0.999801170f,  0.019940429f,
4489     0.999769405f,  0.021474080f,
4490     0.999735288f,  0.023007681f,
4491     0.999698819f,  0.024541229f,
4492     0.999659997f,  0.026074718f,
4493     0.999618822f,  0.027608146f,
4494     0.999575296f,  0.029141509f,
4495     0.999529418f,  0.030674803f,
4496     0.999481187f,  0.032208025f,
4497     0.999430605f,  0.033741172f,
4498     0.999377670f,  0.035274239f,
4499     0.999322385f,  0.036807223f,
4500     0.999264747f,  0.038340120f,
4501     0.999204759f,  0.039872928f,
4502     0.999142419f,  0.041405641f,
4503     0.999077728f,  0.042938257f,
4504     0.999010686f,  0.044470772f,
4505     0.998941293f,  0.046003182f,
4506     0.998869550f,  0.047535484f,
4507     0.998795456f,  0.049067674f,
4508     0.998719012f,  0.050599749f,
4509     0.998640218f,  0.052131705f,
4510     0.998559074f,  0.053663538f,
4511     0.998475581f,  0.055195244f,
4512     0.998389737f,  0.056726821f,
4513     0.998301545f,  0.058258265f,
4514     0.998211003f,  0.059789571f,
4515     0.998118113f,  0.061320736f,
4516     0.998022874f,  0.062851758f,
4517     0.997925286f,  0.064382631f,
4518     0.997825350f,  0.065913353f,
4519     0.997723067f,  0.067443920f,
4520     0.997618435f,  0.068974328f,
4521     0.997511456f,  0.070504573f,
4522     0.997402130f,  0.072034653f,
4523     0.997290457f,  0.073564564f,
4524     0.997176437f,  0.075094301f,
4525     0.997060070f,  0.076623861f,
4526     0.996941358f,  0.078153242f,
4527     0.996820299f,  0.079682438f,
4528     0.996696895f,  0.081211447f,
4529     0.996571146f,  0.082740265f,
4530     0.996443051f,  0.084268888f,
4531     0.996312612f,  0.085797312f,
4532     0.996179829f,  0.087325535f,
4533     0.996044701f,  0.088853553f,
4534     0.995907229f,  0.090381361f,
4535     0.995767414f,  0.091908956f,
4536     0.995625256f,  0.093436336f,
4537     0.995480755f,  0.094963495f,
4538     0.995333912f,  0.096490431f,
4539     0.995184727f,  0.098017140f,
4540     0.995033199f,  0.099543619f,
4541     0.994879331f,  0.101069863f,
4542     0.994723121f,  0.102595869f,
4543     0.994564571f,  0.104121634f,
4544     0.994403680f,  0.105647154f,
4545     0.994240449f,  0.107172425f,
4546     0.994074879f,  0.108697444f,
4547     0.993906970f,  0.110222207f,
4548     0.993736722f,  0.111746711f,
4549     0.993564136f,  0.113270952f,
4550     0.993389211f,  0.114794927f,
4551     0.993211949f,  0.116318631f,
4552     0.993032350f,  0.117842062f,
4553     0.992850414f,  0.119365215f,
4554     0.992666142f,  0.120888087f,
4555     0.992479535f,  0.122410675f,
4556     0.992290591f,  0.123932975f,
4557     0.992099313f,  0.125454983f,
4558     0.991905700f,  0.126976696f,
4559     0.991709754f,  0.128498111f,
4560     0.991511473f,  0.130019223f,
4561     0.991310860f,  0.131540029f,
4562     0.991107914f,  0.133060525f,
4563     0.990902635f,  0.134580709f,
4564     0.990695025f,  0.136100575f,
4565     0.990485084f,  0.137620122f,
4566     0.990272812f,  0.139139344f,
4567     0.990058210f,  0.140658239f,
4568     0.989841278f,  0.142176804f,
4569     0.989622017f,  0.143695033f,
4570     0.989400428f,  0.145212925f,
4571     0.989176510f,  0.146730474f,
4572     0.988950265f,  0.148247679f,
4573     0.988721692f,  0.149764535f,
4574     0.988490793f,  0.151281038f,
4575     0.988257568f,  0.152797185f,
4576     0.988022017f,  0.154312973f,
4577     0.987784142f,  0.155828398f,
4578     0.987543942f,  0.157343456f,
4579     0.987301418f,  0.158858143f,
4580     0.987056571f,  0.160372457f,
4581     0.986809402f,  0.161886394f,
4582     0.986559910f,  0.163399949f,
4583     0.986308097f,  0.164913120f,
4584     0.986053963f,  0.166425904f,
4585     0.985797509f,  0.167938295f,
4586     0.985538735f,  0.169450291f,
4587     0.985277642f,  0.170961889f,
4588     0.985014231f,  0.172473084f,
4589     0.984748502f,  0.173983873f,
4590     0.984480455f,  0.175494253f,
4591     0.984210092f,  0.177004220f,
4592     0.983937413f,  0.178513771f,
4593     0.983662419f,  0.180022901f,
4594     0.983385110f,  0.181531608f,
4595     0.983105487f,  0.183039888f,
4596     0.982823551f,  0.184547737f,
4597     0.982539302f,  0.186055152f,
4598     0.982252741f,  0.187562129f,
4599     0.981963869f,  0.189068664f,
4600     0.981672686f,  0.190574755f,
4601     0.981379193f,  0.192080397f,
4602     0.981083391f,  0.193585587f,
4603     0.980785280f,  0.195090322f,
4604     0.980484862f,  0.196594598f,
4605     0.980182136f,  0.198098411f,
4606     0.979877104f,  0.199601758f,
4607     0.979569766f,  0.201104635f,
4608     0.979260123f,  0.202607039f,
4609     0.978948175f,  0.204108966f,
4610     0.978633924f,  0.205610413f,
4611     0.978317371f,  0.207111376f,
4612     0.977998515f,  0.208611852f,
4613     0.977677358f,  0.210111837f,
4614     0.977353900f,  0.211611327f,
4615     0.977028143f,  0.213110320f,
4616     0.976700086f,  0.214608811f,
4617     0.976369731f,  0.216106797f,
4618     0.976037079f,  0.217604275f,
4619     0.975702130f,  0.219101240f,
4620     0.975364885f,  0.220597690f,
4621     0.975025345f,  0.222093621f,
4622     0.974683511f,  0.223589029f,
4623     0.974339383f,  0.225083911f,
4624     0.973992962f,  0.226578264f,
4625     0.973644250f,  0.228072083f,
4626     0.973293246f,  0.229565366f,
4627     0.972939952f,  0.231058108f,
4628     0.972584369f,  0.232550307f,
4629     0.972226497f,  0.234041959f,
4630     0.971866337f,  0.235533059f,
4631     0.971503891f,  0.237023606f,
4632     0.971139158f,  0.238513595f,
4633     0.970772141f,  0.240003022f,
4634     0.970402839f,  0.241491885f,
4635     0.970031253f,  0.242980180f,
4636     0.969657385f,  0.244467903f,
4637     0.969281235f,  0.245955050f,
4638     0.968902805f,  0.247441619f,
4639     0.968522094f,  0.248927606f,
4640     0.968139105f,  0.250413007f,
4641     0.967753837f,  0.251897818f,
4642     0.967366292f,  0.253382037f,
4643     0.966976471f,  0.254865660f,
4644     0.966584374f,  0.256348682f,
4645     0.966190003f,  0.257831102f,
4646     0.965793359f,  0.259312915f,
4647     0.965394442f,  0.260794118f,
4648     0.964993253f,  0.262274707f,
4649     0.964589793f,  0.263754679f,
4650     0.964184064f,  0.265234030f,
4651     0.963776066f,  0.266712757f,
4652     0.963365800f,  0.268190857f,
4653     0.962953267f,  0.269668326f,
4654     0.962538468f,  0.271145160f,
4655     0.962121404f,  0.272621355f,
4656     0.961702077f,  0.274096910f,
4657     0.961280486f,  0.275571819f,
4658     0.960856633f,  0.277046080f,
4659     0.960430519f,  0.278519689f,
4660     0.960002146f,  0.279992643f,
4661     0.959571513f,  0.281464938f,
4662     0.959138622f,  0.282936570f,
4663     0.958703475f,  0.284407537f,
4664     0.958266071f,  0.285877835f,
4665     0.957826413f,  0.287347460f,
4666     0.957384501f,  0.288816408f,
4667     0.956940336f,  0.290284677f,
4668     0.956493919f,  0.291752263f,
4669     0.956045251f,  0.293219163f,
4670     0.955594334f,  0.294685372f,
4671     0.955141168f,  0.296150888f,
4672     0.954685755f,  0.297615707f,
4673     0.954228095f,  0.299079826f,
4674     0.953768190f,  0.300543241f,
4675     0.953306040f,  0.302005949f,
4676     0.952841648f,  0.303467947f,
4677     0.952375013f,  0.304929230f,
4678     0.951906137f,  0.306389795f,
4679     0.951435021f,  0.307849640f,
4680     0.950961666f,  0.309308760f,
4681     0.950486074f,  0.310767153f,
4682     0.950008245f,  0.312224814f,
4683     0.949528181f,  0.313681740f,
4684     0.949045882f,  0.315137929f,
4685     0.948561350f,  0.316593376f,
4686     0.948074586f,  0.318048077f,
4687     0.947585591f,  0.319502031f,
4688     0.947094366f,  0.320955232f,
4689     0.946600913f,  0.322407679f,
4690     0.946105232f,  0.323859367f,
4691     0.945607325f,  0.325310292f,
4692     0.945107193f,  0.326760452f,
4693     0.944604837f,  0.328209844f,
4694     0.944100258f,  0.329658463f,
4695     0.943593458f,  0.331106306f,
4696     0.943084437f,  0.332553370f,
4697     0.942573198f,  0.333999651f,
4698     0.942059740f,  0.335445147f,
4699     0.941544065f,  0.336889853f,
4700     0.941026175f,  0.338333767f,
4701     0.940506071f,  0.339776884f,
4702     0.939983753f,  0.341219202f,
4703     0.939459224f,  0.342660717f,
4704     0.938932484f,  0.344101426f,
4705     0.938403534f,  0.345541325f,
4706     0.937872376f,  0.346980411f,
4707     0.937339012f,  0.348418680f,
4708     0.936803442f,  0.349856130f,
4709     0.936265667f,  0.351292756f,
4710     0.935725689f,  0.352728556f,
4711     0.935183510f,  0.354163525f,
4712     0.934639130f,  0.355597662f,
4713     0.934092550f,  0.357030961f,
4714     0.933543773f,  0.358463421f,
4715     0.932992799f,  0.359895037f,
4716     0.932439629f,  0.361325806f,
4717     0.931884266f,  0.362755724f,
4718     0.931326709f,  0.364184790f,
4719     0.930766961f,  0.365612998f,
4720     0.930205023f,  0.367040346f,
4721     0.929640896f,  0.368466830f,
4722     0.929074581f,  0.369892447f,
4723     0.928506080f,  0.371317194f,
4724     0.927935395f,  0.372741067f,
4725     0.927362526f,  0.374164063f,
4726     0.926787474f,  0.375586178f,
4727     0.926210242f,  0.377007410f,
4728     0.925630831f,  0.378427755f,
4729     0.925049241f,  0.379847209f,
4730     0.924465474f,  0.381265769f,
4731     0.923879533f,  0.382683432f,
4732     0.923291417f,  0.384100195f,
4733     0.922701128f,  0.385516054f,
4734     0.922108669f,  0.386931006f,
4735     0.921514039f,  0.388345047f,
4736     0.920917242f,  0.389758174f,
4737     0.920318277f,  0.391170384f,
4738     0.919717146f,  0.392581674f,
4739     0.919113852f,  0.393992040f,
4740     0.918508394f,  0.395401479f,
4741     0.917900776f,  0.396809987f,
4742     0.917290997f,  0.398217562f,
4743     0.916679060f,  0.399624200f,
4744     0.916064966f,  0.401029897f,
4745     0.915448716f,  0.402434651f,
4746     0.914830312f,  0.403838458f,
4747     0.914209756f,  0.405241314f,
4748     0.913587048f,  0.406643217f,
4749     0.912962190f,  0.408044163f,
4750     0.912335185f,  0.409444149f,
4751     0.911706032f,  0.410843171f,
4752     0.911074734f,  0.412241227f,
4753     0.910441292f,  0.413638312f,
4754     0.909805708f,  0.415034424f,
4755     0.909167983f,  0.416429560f,
4756     0.908528119f,  0.417823716f,
4757     0.907886116f,  0.419216888f,
4758     0.907241978f,  0.420609074f,
4759     0.906595705f,  0.422000271f,
4760     0.905947298f,  0.423390474f,
4761     0.905296759f,  0.424779681f,
4762     0.904644091f,  0.426167889f,
4763     0.903989293f,  0.427555093f,
4764     0.903332368f,  0.428941292f,
4765     0.902673318f,  0.430326481f,
4766     0.902012144f,  0.431710658f,
4767     0.901348847f,  0.433093819f,
4768     0.900683429f,  0.434475961f,
4769     0.900015892f,  0.435857080f,
4770     0.899346237f,  0.437237174f,
4771     0.898674466f,  0.438616239f,
4772     0.898000580f,  0.439994271f,
4773     0.897324581f,  0.441371269f,
4774     0.896646470f,  0.442747228f,
4775     0.895966250f,  0.444122145f,
4776     0.895283921f,  0.445496017f,
4777     0.894599486f,  0.446868840f,
4778     0.893912945f,  0.448240612f,
4779     0.893224301f,  0.449611330f,
4780     0.892533555f,  0.450980989f,
4781     0.891840709f,  0.452349587f,
4782     0.891145765f,  0.453717121f,
4783     0.890448723f,  0.455083587f,
4784     0.889749586f,  0.456448982f,
4785     0.889048356f,  0.457813304f,
4786     0.888345033f,  0.459176548f,
4787     0.887639620f,  0.460538711f,
4788     0.886932119f,  0.461899791f,
4789     0.886222530f,  0.463259784f,
4790     0.885510856f,  0.464618686f,
4791     0.884797098f,  0.465976496f,
4792     0.884081259f,  0.467333209f,
4793     0.883363339f,  0.468688822f,
4794     0.882643340f,  0.470043332f,
4795     0.881921264f,  0.471396737f,
4796     0.881197113f,  0.472749032f,
4797     0.880470889f,  0.474100215f,
4798     0.879742593f,  0.475450282f,
4799     0.879012226f,  0.476799230f,
4800     0.878279792f,  0.478147056f,
4801     0.877545290f,  0.479493758f,
4802     0.876808724f,  0.480839331f,
4803     0.876070094f,  0.482183772f,
4804     0.875329403f,  0.483527079f,
4805     0.874586652f,  0.484869248f,
4806     0.873841843f,  0.486210276f,
4807     0.873094978f,  0.487550160f,
4808     0.872346059f,  0.488888897f,
4809     0.871595087f,  0.490226483f,
4810     0.870842063f,  0.491562916f,
4811     0.870086991f,  0.492898192f,
4812     0.869329871f,  0.494232309f,
4813     0.868570706f,  0.495565262f,
4814     0.867809497f,  0.496897049f,
4815     0.867046246f,  0.498227667f,
4816     0.866280954f,  0.499557113f,
4817     0.865513624f,  0.500885383f,
4818     0.864744258f,  0.502212474f,
4819     0.863972856f,  0.503538384f,
4820     0.863199422f,  0.504863109f,
4821     0.862423956f,  0.506186645f,
4822     0.861646461f,  0.507508991f,
4823     0.860866939f,  0.508830143f,
4824     0.860085390f,  0.510150097f,
4825     0.859301818f,  0.511468850f,
4826     0.858516224f,  0.512786401f,
4827     0.857728610f,  0.514102744f,
4828     0.856938977f,  0.515417878f,
4829     0.856147328f,  0.516731799f,
4830     0.855353665f,  0.518044504f,
4831     0.854557988f,  0.519355990f,
4832     0.853760301f,  0.520666254f,
4833     0.852960605f,  0.521975293f,
4834     0.852158902f,  0.523283103f,
4835     0.851355193f,  0.524589683f,
4836     0.850549481f,  0.525895027f,
4837     0.849741768f,  0.527199135f,
4838     0.848932055f,  0.528502002f,
4839     0.848120345f,  0.529803625f,
4840     0.847306639f,  0.531104001f,
4841     0.846490939f,  0.532403128f,
4842     0.845673247f,  0.533701002f,
4843     0.844853565f,  0.534997620f,
4844     0.844031895f,  0.536292979f,
4845     0.843208240f,  0.537587076f,
4846     0.842382600f,  0.538879909f,
4847     0.841554977f,  0.540171473f,
4848     0.840725375f,  0.541461766f,
4849     0.839893794f,  0.542750785f,
4850     0.839060237f,  0.544038527f,
4851     0.838224706f,  0.545324988f,
4852     0.837387202f,  0.546610167f,
4853     0.836547727f,  0.547894059f,
4854     0.835706284f,  0.549176662f,
4855     0.834862875f,  0.550457973f,
4856     0.834017501f,  0.551737988f,
4857     0.833170165f,  0.553016706f,
4858     0.832320868f,  0.554294121f,
4859     0.831469612f,  0.555570233f,
4860     0.830616400f,  0.556845037f,
4861     0.829761234f,  0.558118531f,
4862     0.828904115f,  0.559390712f,
4863     0.828045045f,  0.560661576f,
4864     0.827184027f,  0.561931121f,
4865     0.826321063f,  0.563199344f,
4866     0.825456154f,  0.564466242f,
4867     0.824589303f,  0.565731811f,
4868     0.823720511f,  0.566996049f,
4869     0.822849781f,  0.568258953f,
4870     0.821977115f,  0.569520519f,
4871     0.821102515f,  0.570780746f,
4872     0.820225983f,  0.572039629f,
4873     0.819347520f,  0.573297167f,
4874     0.818467130f,  0.574553355f,
4875     0.817584813f,  0.575808191f,
4876     0.816700573f,  0.577061673f,
4877     0.815814411f,  0.578313796f,
4878     0.814926329f,  0.579564559f,
4879     0.814036330f,  0.580813958f,
4880     0.813144415f,  0.582061990f,
4881     0.812250587f,  0.583308653f,
4882     0.811354847f,  0.584553943f,
4883     0.810457198f,  0.585797857f,
4884     0.809557642f,  0.587040394f,
4885     0.808656182f,  0.588281548f,
4886     0.807752818f,  0.589521319f,
4887     0.806847554f,  0.590759702f,
4888     0.805940391f,  0.591996695f,
4889     0.805031331f,  0.593232295f,
4890     0.804120377f,  0.594466499f,
4891     0.803207531f,  0.595699304f,
4892     0.802292796f,  0.596930708f,
4893     0.801376172f,  0.598160707f,
4894     0.800457662f,  0.599389298f,
4895     0.799537269f,  0.600616479f,
4896     0.798614995f,  0.601842247f,
4897     0.797690841f,  0.603066599f,
4898     0.796764810f,  0.604289531f,
4899     0.795836905f,  0.605511041f,
4900     0.794907126f,  0.606731127f,
4901     0.793975478f,  0.607949785f,
4902     0.793041960f,  0.609167012f,
4903     0.792106577f,  0.610382806f,
4904     0.791169330f,  0.611597164f,
4905     0.790230221f,  0.612810082f,
4906     0.789289253f,  0.614021559f,
4907     0.788346428f,  0.615231591f,
4908     0.787401747f,  0.616440175f,
4909     0.786455214f,  0.617647308f,
4910     0.785506830f,  0.618852988f,
4911     0.784556597f,  0.620057212f,
4912     0.783604519f,  0.621259977f,
4913     0.782650596f,  0.622461279f,
4914     0.781694832f,  0.623661118f,
4915     0.780737229f,  0.624859488f,
4916     0.779777788f,  0.626056388f,
4917     0.778816512f,  0.627251815f,
4918     0.777853404f,  0.628445767f,
4919     0.776888466f,  0.629638239f,
4920     0.775921699f,  0.630829230f,
4921     0.774953107f,  0.632018736f,
4922     0.773982691f,  0.633206755f,
4923     0.773010453f,  0.634393284f,
4924     0.772036397f,  0.635578320f,
4925     0.771060524f,  0.636761861f,
4926     0.770082837f,  0.637943904f,
4927     0.769103338f,  0.639124445f,
4928     0.768122029f,  0.640303482f,
4929     0.767138912f,  0.641481013f,
4930     0.766153990f,  0.642657034f,
4931     0.765167266f,  0.643831543f,
4932     0.764178741f,  0.645004537f,
4933     0.763188417f,  0.646176013f,
4934     0.762196298f,  0.647345969f,
4935     0.761202385f,  0.648514401f,
4936     0.760206682f,  0.649681307f,
4937     0.759209189f,  0.650846685f,
4938     0.758209910f,  0.652010531f,
4939     0.757208847f,  0.653172843f,
4940     0.756206001f,  0.654333618f,
4941     0.755201377f,  0.655492853f,
4942     0.754194975f,  0.656650546f,
4943     0.753186799f,  0.657806693f,
4944     0.752176850f,  0.658961293f,
4945     0.751165132f,  0.660114342f,
4946     0.750151646f,  0.661265838f,
4947     0.749136395f,  0.662415778f,
4948     0.748119380f,  0.663564159f,
4949     0.747100606f,  0.664710978f,
4950     0.746080074f,  0.665856234f,
4951     0.745057785f,  0.666999922f,
4952     0.744033744f,  0.668142041f,
4953     0.743007952f,  0.669282588f,
4954     0.741980412f,  0.670421560f,
4955     0.740951125f,  0.671558955f,
4956     0.739920095f,  0.672694769f,
4957     0.738887324f,  0.673829000f,
4958     0.737852815f,  0.674961646f,
4959     0.736816569f,  0.676092704f,
4960     0.735778589f,  0.677222170f,
4961     0.734738878f,  0.678350043f,
4962     0.733697438f,  0.679476320f,
4963     0.732654272f,  0.680600998f,
4964     0.731609381f,  0.681724074f,
4965     0.730562769f,  0.682845546f,
4966     0.729514438f,  0.683965412f,
4967     0.728464390f,  0.685083668f,
4968     0.727412629f,  0.686200312f,
4969     0.726359155f,  0.687315341f,
4970     0.725303972f,  0.688428753f,
4971     0.724247083f,  0.689540545f,
4972     0.723188489f,  0.690650714f,
4973     0.722128194f,  0.691759258f,
4974     0.721066199f,  0.692866175f,
4975     0.720002508f,  0.693971461f,
4976     0.718937122f,  0.695075114f,
4977     0.717870045f,  0.696177131f,
4978     0.716801279f,  0.697277511f,
4979     0.715730825f,  0.698376249f,
4980     0.714658688f,  0.699473345f,
4981     0.713584869f,  0.700568794f,
4982     0.712509371f,  0.701662595f,
4983     0.711432196f,  0.702754744f,
4984     0.710353347f,  0.703845241f,
4985     0.709272826f,  0.704934080f,
4986     0.708190637f,  0.706021261f,
4987     0.707106781f,  0.707106781f,
4988     0.706021261f,  0.708190637f,
4989     0.704934080f,  0.709272826f,
4990     0.703845241f,  0.710353347f,
4991     0.702754744f,  0.711432196f,
4992     0.701662595f,  0.712509371f,
4993     0.700568794f,  0.713584869f,
4994     0.699473345f,  0.714658688f,
4995     0.698376249f,  0.715730825f,
4996     0.697277511f,  0.716801279f,
4997     0.696177131f,  0.717870045f,
4998     0.695075114f,  0.718937122f,
4999     0.693971461f,  0.720002508f,
5000     0.692866175f,  0.721066199f,
5001     0.691759258f,  0.722128194f,
5002     0.690650714f,  0.723188489f,
5003     0.689540545f,  0.724247083f,
5004     0.688428753f,  0.725303972f,
5005     0.687315341f,  0.726359155f,
5006     0.686200312f,  0.727412629f,
5007     0.685083668f,  0.728464390f,
5008     0.683965412f,  0.729514438f,
5009     0.682845546f,  0.730562769f,
5010     0.681724074f,  0.731609381f,
5011     0.680600998f,  0.732654272f,
5012     0.679476320f,  0.733697438f,
5013     0.678350043f,  0.734738878f,
5014     0.677222170f,  0.735778589f,
5015     0.676092704f,  0.736816569f,
5016     0.674961646f,  0.737852815f,
5017     0.673829000f,  0.738887324f,
5018     0.672694769f,  0.739920095f,
5019     0.671558955f,  0.740951125f,
5020     0.670421560f,  0.741980412f,
5021     0.669282588f,  0.743007952f,
5022     0.668142041f,  0.744033744f,
5023     0.666999922f,  0.745057785f,
5024     0.665856234f,  0.746080074f,
5025     0.664710978f,  0.747100606f,
5026     0.663564159f,  0.748119380f,
5027     0.662415778f,  0.749136395f,
5028     0.661265838f,  0.750151646f,
5029     0.660114342f,  0.751165132f,
5030     0.658961293f,  0.752176850f,
5031     0.657806693f,  0.753186799f,
5032     0.656650546f,  0.754194975f,
5033     0.655492853f,  0.755201377f,
5034     0.654333618f,  0.756206001f,
5035     0.653172843f,  0.757208847f,
5036     0.652010531f,  0.758209910f,
5037     0.650846685f,  0.759209189f,
5038     0.649681307f,  0.760206682f,
5039     0.648514401f,  0.761202385f,
5040     0.647345969f,  0.762196298f,
5041     0.646176013f,  0.763188417f,
5042     0.645004537f,  0.764178741f,
5043     0.643831543f,  0.765167266f,
5044     0.642657034f,  0.766153990f,
5045     0.641481013f,  0.767138912f,
5046     0.640303482f,  0.768122029f,
5047     0.639124445f,  0.769103338f,
5048     0.637943904f,  0.770082837f,
5049     0.636761861f,  0.771060524f,
5050     0.635578320f,  0.772036397f,
5051     0.634393284f,  0.773010453f,
5052     0.633206755f,  0.773982691f,
5053     0.632018736f,  0.774953107f,
5054     0.630829230f,  0.775921699f,
5055     0.629638239f,  0.776888466f,
5056     0.628445767f,  0.777853404f,
5057     0.627251815f,  0.778816512f,
5058     0.626056388f,  0.779777788f,
5059     0.624859488f,  0.780737229f,
5060     0.623661118f,  0.781694832f,
5061     0.622461279f,  0.782650596f,
5062     0.621259977f,  0.783604519f,
5063     0.620057212f,  0.784556597f,
5064     0.618852988f,  0.785506830f,
5065     0.617647308f,  0.786455214f,
5066     0.616440175f,  0.787401747f,
5067     0.615231591f,  0.788346428f,
5068     0.614021559f,  0.789289253f,
5069     0.612810082f,  0.790230221f,
5070     0.611597164f,  0.791169330f,
5071     0.610382806f,  0.792106577f,
5072     0.609167012f,  0.793041960f,
5073     0.607949785f,  0.793975478f,
5074     0.606731127f,  0.794907126f,
5075     0.605511041f,  0.795836905f,
5076     0.604289531f,  0.796764810f,
5077     0.603066599f,  0.797690841f,
5078     0.601842247f,  0.798614995f,
5079     0.600616479f,  0.799537269f,
5080     0.599389298f,  0.800457662f,
5081     0.598160707f,  0.801376172f,
5082     0.596930708f,  0.802292796f,
5083     0.595699304f,  0.803207531f,
5084     0.594466499f,  0.804120377f,
5085     0.593232295f,  0.805031331f,
5086     0.591996695f,  0.805940391f,
5087     0.590759702f,  0.806847554f,
5088     0.589521319f,  0.807752818f,
5089     0.588281548f,  0.808656182f,
5090     0.587040394f,  0.809557642f,
5091     0.585797857f,  0.810457198f,
5092     0.584553943f,  0.811354847f,
5093     0.583308653f,  0.812250587f,
5094     0.582061990f,  0.813144415f,
5095     0.580813958f,  0.814036330f,
5096     0.579564559f,  0.814926329f,
5097     0.578313796f,  0.815814411f,
5098     0.577061673f,  0.816700573f,
5099     0.575808191f,  0.817584813f,
5100     0.574553355f,  0.818467130f,
5101     0.573297167f,  0.819347520f,
5102     0.572039629f,  0.820225983f,
5103     0.570780746f,  0.821102515f,
5104     0.569520519f,  0.821977115f,
5105     0.568258953f,  0.822849781f,
5106     0.566996049f,  0.823720511f,
5107     0.565731811f,  0.824589303f,
5108     0.564466242f,  0.825456154f,
5109     0.563199344f,  0.826321063f,
5110     0.561931121f,  0.827184027f,
5111     0.560661576f,  0.828045045f,
5112     0.559390712f,  0.828904115f,
5113     0.558118531f,  0.829761234f,
5114     0.556845037f,  0.830616400f,
5115     0.555570233f,  0.831469612f,
5116     0.554294121f,  0.832320868f,
5117     0.553016706f,  0.833170165f,
5118     0.551737988f,  0.834017501f,
5119     0.550457973f,  0.834862875f,
5120     0.549176662f,  0.835706284f,
5121     0.547894059f,  0.836547727f,
5122     0.546610167f,  0.837387202f,
5123     0.545324988f,  0.838224706f,
5124     0.544038527f,  0.839060237f,
5125     0.542750785f,  0.839893794f,
5126     0.541461766f,  0.840725375f,
5127     0.540171473f,  0.841554977f,
5128     0.538879909f,  0.842382600f,
5129     0.537587076f,  0.843208240f,
5130     0.536292979f,  0.844031895f,
5131     0.534997620f,  0.844853565f,
5132     0.533701002f,  0.845673247f,
5133     0.532403128f,  0.846490939f,
5134     0.531104001f,  0.847306639f,
5135     0.529803625f,  0.848120345f,
5136     0.528502002f,  0.848932055f,
5137     0.527199135f,  0.849741768f,
5138     0.525895027f,  0.850549481f,
5139     0.524589683f,  0.851355193f,
5140     0.523283103f,  0.852158902f,
5141     0.521975293f,  0.852960605f,
5142     0.520666254f,  0.853760301f,
5143     0.519355990f,  0.854557988f,
5144     0.518044504f,  0.855353665f,
5145     0.516731799f,  0.856147328f,
5146     0.515417878f,  0.856938977f,
5147     0.514102744f,  0.857728610f,
5148     0.512786401f,  0.858516224f,
5149     0.511468850f,  0.859301818f,
5150     0.510150097f,  0.860085390f,
5151     0.508830143f,  0.860866939f,
5152     0.507508991f,  0.861646461f,
5153     0.506186645f,  0.862423956f,
5154     0.504863109f,  0.863199422f,
5155     0.503538384f,  0.863972856f,
5156     0.502212474f,  0.864744258f,
5157     0.500885383f,  0.865513624f,
5158     0.499557113f,  0.866280954f,
5159     0.498227667f,  0.867046246f,
5160     0.496897049f,  0.867809497f,
5161     0.495565262f,  0.868570706f,
5162     0.494232309f,  0.869329871f,
5163     0.492898192f,  0.870086991f,
5164     0.491562916f,  0.870842063f,
5165     0.490226483f,  0.871595087f,
5166     0.488888897f,  0.872346059f,
5167     0.487550160f,  0.873094978f,
5168     0.486210276f,  0.873841843f,
5169     0.484869248f,  0.874586652f,
5170     0.483527079f,  0.875329403f,
5171     0.482183772f,  0.876070094f,
5172     0.480839331f,  0.876808724f,
5173     0.479493758f,  0.877545290f,
5174     0.478147056f,  0.878279792f,
5175     0.476799230f,  0.879012226f,
5176     0.475450282f,  0.879742593f,
5177     0.474100215f,  0.880470889f,
5178     0.472749032f,  0.881197113f,
5179     0.471396737f,  0.881921264f,
5180     0.470043332f,  0.882643340f,
5181     0.468688822f,  0.883363339f,
5182     0.467333209f,  0.884081259f,
5183     0.465976496f,  0.884797098f,
5184     0.464618686f,  0.885510856f,
5185     0.463259784f,  0.886222530f,
5186     0.461899791f,  0.886932119f,
5187     0.460538711f,  0.887639620f,
5188     0.459176548f,  0.888345033f,
5189     0.457813304f,  0.889048356f,
5190     0.456448982f,  0.889749586f,
5191     0.455083587f,  0.890448723f,
5192     0.453717121f,  0.891145765f,
5193     0.452349587f,  0.891840709f,
5194     0.450980989f,  0.892533555f,
5195     0.449611330f,  0.893224301f,
5196     0.448240612f,  0.893912945f,
5197     0.446868840f,  0.894599486f,
5198     0.445496017f,  0.895283921f,
5199     0.444122145f,  0.895966250f,
5200     0.442747228f,  0.896646470f,
5201     0.441371269f,  0.897324581f,
5202     0.439994271f,  0.898000580f,
5203     0.438616239f,  0.898674466f,
5204     0.437237174f,  0.899346237f,
5205     0.435857080f,  0.900015892f,
5206     0.434475961f,  0.900683429f,
5207     0.433093819f,  0.901348847f,
5208     0.431710658f,  0.902012144f,
5209     0.430326481f,  0.902673318f,
5210     0.428941292f,  0.903332368f,
5211     0.427555093f,  0.903989293f,
5212     0.426167889f,  0.904644091f,
5213     0.424779681f,  0.905296759f,
5214     0.423390474f,  0.905947298f,
5215     0.422000271f,  0.906595705f,
5216     0.420609074f,  0.907241978f,
5217     0.419216888f,  0.907886116f,
5218     0.417823716f,  0.908528119f,
5219     0.416429560f,  0.909167983f,
5220     0.415034424f,  0.909805708f,
5221     0.413638312f,  0.910441292f,
5222     0.412241227f,  0.911074734f,
5223     0.410843171f,  0.911706032f,
5224     0.409444149f,  0.912335185f,
5225     0.408044163f,  0.912962190f,
5226     0.406643217f,  0.913587048f,
5227     0.405241314f,  0.914209756f,
5228     0.403838458f,  0.914830312f,
5229     0.402434651f,  0.915448716f,
5230     0.401029897f,  0.916064966f,
5231     0.399624200f,  0.916679060f,
5232     0.398217562f,  0.917290997f,
5233     0.396809987f,  0.917900776f,
5234     0.395401479f,  0.918508394f,
5235     0.393992040f,  0.919113852f,
5236     0.392581674f,  0.919717146f,
5237     0.391170384f,  0.920318277f,
5238     0.389758174f,  0.920917242f,
5239     0.388345047f,  0.921514039f,
5240     0.386931006f,  0.922108669f,
5241     0.385516054f,  0.922701128f,
5242     0.384100195f,  0.923291417f,
5243     0.382683432f,  0.923879533f,
5244     0.381265769f,  0.924465474f,
5245     0.379847209f,  0.925049241f,
5246     0.378427755f,  0.925630831f,
5247     0.377007410f,  0.926210242f,
5248     0.375586178f,  0.926787474f,
5249     0.374164063f,  0.927362526f,
5250     0.372741067f,  0.927935395f,
5251     0.371317194f,  0.928506080f,
5252     0.369892447f,  0.929074581f,
5253     0.368466830f,  0.929640896f,
5254     0.367040346f,  0.930205023f,
5255     0.365612998f,  0.930766961f,
5256     0.364184790f,  0.931326709f,
5257     0.362755724f,  0.931884266f,
5258     0.361325806f,  0.932439629f,
5259     0.359895037f,  0.932992799f,
5260     0.358463421f,  0.933543773f,
5261     0.357030961f,  0.934092550f,
5262     0.355597662f,  0.934639130f,
5263     0.354163525f,  0.935183510f,
5264     0.352728556f,  0.935725689f,
5265     0.351292756f,  0.936265667f,
5266     0.349856130f,  0.936803442f,
5267     0.348418680f,  0.937339012f,
5268     0.346980411f,  0.937872376f,
5269     0.345541325f,  0.938403534f,
5270     0.344101426f,  0.938932484f,
5271     0.342660717f,  0.939459224f,
5272     0.341219202f,  0.939983753f,
5273     0.339776884f,  0.940506071f,
5274     0.338333767f,  0.941026175f,
5275     0.336889853f,  0.941544065f,
5276     0.335445147f,  0.942059740f,
5277     0.333999651f,  0.942573198f,
5278     0.332553370f,  0.943084437f,
5279     0.331106306f,  0.943593458f,
5280     0.329658463f,  0.944100258f,
5281     0.328209844f,  0.944604837f,
5282     0.326760452f,  0.945107193f,
5283     0.325310292f,  0.945607325f,
5284     0.323859367f,  0.946105232f,
5285     0.322407679f,  0.946600913f,
5286     0.320955232f,  0.947094366f,
5287     0.319502031f,  0.947585591f,
5288     0.318048077f,  0.948074586f,
5289     0.316593376f,  0.948561350f,
5290     0.315137929f,  0.949045882f,
5291     0.313681740f,  0.949528181f,
5292     0.312224814f,  0.950008245f,
5293     0.310767153f,  0.950486074f,
5294     0.309308760f,  0.950961666f,
5295     0.307849640f,  0.951435021f,
5296     0.306389795f,  0.951906137f,
5297     0.304929230f,  0.952375013f,
5298     0.303467947f,  0.952841648f,
5299     0.302005949f,  0.953306040f,
5300     0.300543241f,  0.953768190f,
5301     0.299079826f,  0.954228095f,
5302     0.297615707f,  0.954685755f,
5303     0.296150888f,  0.955141168f,
5304     0.294685372f,  0.955594334f,
5305     0.293219163f,  0.956045251f,
5306     0.291752263f,  0.956493919f,
5307     0.290284677f,  0.956940336f,
5308     0.288816408f,  0.957384501f,
5309     0.287347460f,  0.957826413f,
5310     0.285877835f,  0.958266071f,
5311     0.284407537f,  0.958703475f,
5312     0.282936570f,  0.959138622f,
5313     0.281464938f,  0.959571513f,
5314     0.279992643f,  0.960002146f,
5315     0.278519689f,  0.960430519f,
5316     0.277046080f,  0.960856633f,
5317     0.275571819f,  0.961280486f,
5318     0.274096910f,  0.961702077f,
5319     0.272621355f,  0.962121404f,
5320     0.271145160f,  0.962538468f,
5321     0.269668326f,  0.962953267f,
5322     0.268190857f,  0.963365800f,
5323     0.266712757f,  0.963776066f,
5324     0.265234030f,  0.964184064f,
5325     0.263754679f,  0.964589793f,
5326     0.262274707f,  0.964993253f,
5327     0.260794118f,  0.965394442f,
5328     0.259312915f,  0.965793359f,
5329     0.257831102f,  0.966190003f,
5330     0.256348682f,  0.966584374f,
5331     0.254865660f,  0.966976471f,
5332     0.253382037f,  0.967366292f,
5333     0.251897818f,  0.967753837f,
5334     0.250413007f,  0.968139105f,
5335     0.248927606f,  0.968522094f,
5336     0.247441619f,  0.968902805f,
5337     0.245955050f,  0.969281235f,
5338     0.244467903f,  0.969657385f,
5339     0.242980180f,  0.970031253f,
5340     0.241491885f,  0.970402839f,
5341     0.240003022f,  0.970772141f,
5342     0.238513595f,  0.971139158f,
5343     0.237023606f,  0.971503891f,
5344     0.235533059f,  0.971866337f,
5345     0.234041959f,  0.972226497f,
5346     0.232550307f,  0.972584369f,
5347     0.231058108f,  0.972939952f,
5348     0.229565366f,  0.973293246f,
5349     0.228072083f,  0.973644250f,
5350     0.226578264f,  0.973992962f,
5351     0.225083911f,  0.974339383f,
5352     0.223589029f,  0.974683511f,
5353     0.222093621f,  0.975025345f,
5354     0.220597690f,  0.975364885f,
5355     0.219101240f,  0.975702130f,
5356     0.217604275f,  0.976037079f,
5357     0.216106797f,  0.976369731f,
5358     0.214608811f,  0.976700086f,
5359     0.213110320f,  0.977028143f,
5360     0.211611327f,  0.977353900f,
5361     0.210111837f,  0.977677358f,
5362     0.208611852f,  0.977998515f,
5363     0.207111376f,  0.978317371f,
5364     0.205610413f,  0.978633924f,
5365     0.204108966f,  0.978948175f,
5366     0.202607039f,  0.979260123f,
5367     0.201104635f,  0.979569766f,
5368     0.199601758f,  0.979877104f,
5369     0.198098411f,  0.980182136f,
5370     0.196594598f,  0.980484862f,
5371     0.195090322f,  0.980785280f,
5372     0.193585587f,  0.981083391f,
5373     0.192080397f,  0.981379193f,
5374     0.190574755f,  0.981672686f,
5375     0.189068664f,  0.981963869f,
5376     0.187562129f,  0.982252741f,
5377     0.186055152f,  0.982539302f,
5378     0.184547737f,  0.982823551f,
5379     0.183039888f,  0.983105487f,
5380     0.181531608f,  0.983385110f,
5381     0.180022901f,  0.983662419f,
5382     0.178513771f,  0.983937413f,
5383     0.177004220f,  0.984210092f,
5384     0.175494253f,  0.984480455f,
5385     0.173983873f,  0.984748502f,
5386     0.172473084f,  0.985014231f,
5387     0.170961889f,  0.985277642f,
5388     0.169450291f,  0.985538735f,
5389     0.167938295f,  0.985797509f,
5390     0.166425904f,  0.986053963f,
5391     0.164913120f,  0.986308097f,
5392     0.163399949f,  0.986559910f,
5393     0.161886394f,  0.986809402f,
5394     0.160372457f,  0.987056571f,
5395     0.158858143f,  0.987301418f,
5396     0.157343456f,  0.987543942f,
5397     0.155828398f,  0.987784142f,
5398     0.154312973f,  0.988022017f,
5399     0.152797185f,  0.988257568f,
5400     0.151281038f,  0.988490793f,
5401     0.149764535f,  0.988721692f,
5402     0.148247679f,  0.988950265f,
5403     0.146730474f,  0.989176510f,
5404     0.145212925f,  0.989400428f,
5405     0.143695033f,  0.989622017f,
5406     0.142176804f,  0.989841278f,
5407     0.140658239f,  0.990058210f,
5408     0.139139344f,  0.990272812f,
5409     0.137620122f,  0.990485084f,
5410     0.136100575f,  0.990695025f,
5411     0.134580709f,  0.990902635f,
5412     0.133060525f,  0.991107914f,
5413     0.131540029f,  0.991310860f,
5414     0.130019223f,  0.991511473f,
5415     0.128498111f,  0.991709754f,
5416     0.126976696f,  0.991905700f,
5417     0.125454983f,  0.992099313f,
5418     0.123932975f,  0.992290591f,
5419     0.122410675f,  0.992479535f,
5420     0.120888087f,  0.992666142f,
5421     0.119365215f,  0.992850414f,
5422     0.117842062f,  0.993032350f,
5423     0.116318631f,  0.993211949f,
5424     0.114794927f,  0.993389211f,
5425     0.113270952f,  0.993564136f,
5426     0.111746711f,  0.993736722f,
5427     0.110222207f,  0.993906970f,
5428     0.108697444f,  0.994074879f,
5429     0.107172425f,  0.994240449f,
5430     0.105647154f,  0.994403680f,
5431     0.104121634f,  0.994564571f,
5432     0.102595869f,  0.994723121f,
5433     0.101069863f,  0.994879331f,
5434     0.099543619f,  0.995033199f,
5435     0.098017140f,  0.995184727f,
5436     0.096490431f,  0.995333912f,
5437     0.094963495f,  0.995480755f,
5438     0.093436336f,  0.995625256f,
5439     0.091908956f,  0.995767414f,
5440     0.090381361f,  0.995907229f,
5441     0.088853553f,  0.996044701f,
5442     0.087325535f,  0.996179829f,
5443     0.085797312f,  0.996312612f,
5444     0.084268888f,  0.996443051f,
5445     0.082740265f,  0.996571146f,
5446     0.081211447f,  0.996696895f,
5447     0.079682438f,  0.996820299f,
5448     0.078153242f,  0.996941358f,
5449     0.076623861f,  0.997060070f,
5450     0.075094301f,  0.997176437f,
5451     0.073564564f,  0.997290457f,
5452     0.072034653f,  0.997402130f,
5453     0.070504573f,  0.997511456f,
5454     0.068974328f,  0.997618435f,
5455     0.067443920f,  0.997723067f,
5456     0.065913353f,  0.997825350f,
5457     0.064382631f,  0.997925286f,
5458     0.062851758f,  0.998022874f,
5459     0.061320736f,  0.998118113f,
5460     0.059789571f,  0.998211003f,
5461     0.058258265f,  0.998301545f,
5462     0.056726821f,  0.998389737f,
5463     0.055195244f,  0.998475581f,
5464     0.053663538f,  0.998559074f,
5465     0.052131705f,  0.998640218f,
5466     0.050599749f,  0.998719012f,
5467     0.049067674f,  0.998795456f,
5468     0.047535484f,  0.998869550f,
5469     0.046003182f,  0.998941293f,
5470     0.044470772f,  0.999010686f,
5471     0.042938257f,  0.999077728f,
5472     0.041405641f,  0.999142419f,
5473     0.039872928f,  0.999204759f,
5474     0.038340120f,  0.999264747f,
5475     0.036807223f,  0.999322385f,
5476     0.035274239f,  0.999377670f,
5477     0.033741172f,  0.999430605f,
5478     0.032208025f,  0.999481187f,
5479     0.030674803f,  0.999529418f,
5480     0.029141509f,  0.999575296f,
5481     0.027608146f,  0.999618822f,
5482     0.026074718f,  0.999659997f,
5483     0.024541229f,  0.999698819f,
5484     0.023007681f,  0.999735288f,
5485     0.021474080f,  0.999769405f,
5486     0.019940429f,  0.999801170f,
5487     0.018406730f,  0.999830582f,
5488     0.016872988f,  0.999857641f,
5489     0.015339206f,  0.999882347f,
5490     0.013805389f,  0.999904701f,
5491     0.012271538f,  0.999924702f,
5492     0.010737659f,  0.999942350f,
5493     0.009203755f,  0.999957645f,
5494     0.007669829f,  0.999970586f,
5495     0.006135885f,  0.999981175f,
5496     0.004601926f,  0.999989411f,
5497     0.003067957f,  0.999995294f,
5498     0.001533980f,  0.999998823f,
5499     0.000000000f,  1.000000000f,
5500    -0.001533980f,  0.999998823f,
5501    -0.003067957f,  0.999995294f,
5502    -0.004601926f,  0.999989411f,
5503    -0.006135885f,  0.999981175f,
5504    -0.007669829f,  0.999970586f,
5505    -0.009203755f,  0.999957645f,
5506    -0.010737659f,  0.999942350f,
5507    -0.012271538f,  0.999924702f,
5508    -0.013805389f,  0.999904701f,
5509    -0.015339206f,  0.999882347f,
5510    -0.016872988f,  0.999857641f,
5511    -0.018406730f,  0.999830582f,
5512    -0.019940429f,  0.999801170f,
5513    -0.021474080f,  0.999769405f,
5514    -0.023007681f,  0.999735288f,
5515    -0.024541229f,  0.999698819f,
5516    -0.026074718f,  0.999659997f,
5517    -0.027608146f,  0.999618822f,
5518    -0.029141509f,  0.999575296f,
5519    -0.030674803f,  0.999529418f,
5520    -0.032208025f,  0.999481187f,
5521    -0.033741172f,  0.999430605f,
5522    -0.035274239f,  0.999377670f,
5523    -0.036807223f,  0.999322385f,
5524    -0.038340120f,  0.999264747f,
5525    -0.039872928f,  0.999204759f,
5526    -0.041405641f,  0.999142419f,
5527    -0.042938257f,  0.999077728f,
5528    -0.044470772f,  0.999010686f,
5529    -0.046003182f,  0.998941293f,
5530    -0.047535484f,  0.998869550f,
5531    -0.049067674f,  0.998795456f,
5532    -0.050599749f,  0.998719012f,
5533    -0.052131705f,  0.998640218f,
5534    -0.053663538f,  0.998559074f,
5535    -0.055195244f,  0.998475581f,
5536    -0.056726821f,  0.998389737f,
5537    -0.058258265f,  0.998301545f,
5538    -0.059789571f,  0.998211003f,
5539    -0.061320736f,  0.998118113f,
5540    -0.062851758f,  0.998022874f,
5541    -0.064382631f,  0.997925286f,
5542    -0.065913353f,  0.997825350f,
5543    -0.067443920f,  0.997723067f,
5544    -0.068974328f,  0.997618435f,
5545    -0.070504573f,  0.997511456f,
5546    -0.072034653f,  0.997402130f,
5547    -0.073564564f,  0.997290457f,
5548    -0.075094301f,  0.997176437f,
5549    -0.076623861f,  0.997060070f,
5550    -0.078153242f,  0.996941358f,
5551    -0.079682438f,  0.996820299f,
5552    -0.081211447f,  0.996696895f,
5553    -0.082740265f,  0.996571146f,
5554    -0.084268888f,  0.996443051f,
5555    -0.085797312f,  0.996312612f,
5556    -0.087325535f,  0.996179829f,
5557    -0.088853553f,  0.996044701f,
5558    -0.090381361f,  0.995907229f,
5559    -0.091908956f,  0.995767414f,
5560    -0.093436336f,  0.995625256f,
5561    -0.094963495f,  0.995480755f,
5562    -0.096490431f,  0.995333912f,
5563    -0.098017140f,  0.995184727f,
5564    -0.099543619f,  0.995033199f,
5565    -0.101069863f,  0.994879331f,
5566    -0.102595869f,  0.994723121f,
5567    -0.104121634f,  0.994564571f,
5568    -0.105647154f,  0.994403680f,
5569    -0.107172425f,  0.994240449f,
5570    -0.108697444f,  0.994074879f,
5571    -0.110222207f,  0.993906970f,
5572    -0.111746711f,  0.993736722f,
5573    -0.113270952f,  0.993564136f,
5574    -0.114794927f,  0.993389211f,
5575    -0.116318631f,  0.993211949f,
5576    -0.117842062f,  0.993032350f,
5577    -0.119365215f,  0.992850414f,
5578    -0.120888087f,  0.992666142f,
5579    -0.122410675f,  0.992479535f,
5580    -0.123932975f,  0.992290591f,
5581    -0.125454983f,  0.992099313f,
5582    -0.126976696f,  0.991905700f,
5583    -0.128498111f,  0.991709754f,
5584    -0.130019223f,  0.991511473f,
5585    -0.131540029f,  0.991310860f,
5586    -0.133060525f,  0.991107914f,
5587    -0.134580709f,  0.990902635f,
5588    -0.136100575f,  0.990695025f,
5589    -0.137620122f,  0.990485084f,
5590    -0.139139344f,  0.990272812f,
5591    -0.140658239f,  0.990058210f,
5592    -0.142176804f,  0.989841278f,
5593    -0.143695033f,  0.989622017f,
5594    -0.145212925f,  0.989400428f,
5595    -0.146730474f,  0.989176510f,
5596    -0.148247679f,  0.988950265f,
5597    -0.149764535f,  0.988721692f,
5598    -0.151281038f,  0.988490793f,
5599    -0.152797185f,  0.988257568f,
5600    -0.154312973f,  0.988022017f,
5601    -0.155828398f,  0.987784142f,
5602    -0.157343456f,  0.987543942f,
5603    -0.158858143f,  0.987301418f,
5604    -0.160372457f,  0.987056571f,
5605    -0.161886394f,  0.986809402f,
5606    -0.163399949f,  0.986559910f,
5607    -0.164913120f,  0.986308097f,
5608    -0.166425904f,  0.986053963f,
5609    -0.167938295f,  0.985797509f,
5610    -0.169450291f,  0.985538735f,
5611    -0.170961889f,  0.985277642f,
5612    -0.172473084f,  0.985014231f,
5613    -0.173983873f,  0.984748502f,
5614    -0.175494253f,  0.984480455f,
5615    -0.177004220f,  0.984210092f,
5616    -0.178513771f,  0.983937413f,
5617    -0.180022901f,  0.983662419f,
5618    -0.181531608f,  0.983385110f,
5619    -0.183039888f,  0.983105487f,
5620    -0.184547737f,  0.982823551f,
5621    -0.186055152f,  0.982539302f,
5622    -0.187562129f,  0.982252741f,
5623    -0.189068664f,  0.981963869f,
5624    -0.190574755f,  0.981672686f,
5625    -0.192080397f,  0.981379193f,
5626    -0.193585587f,  0.981083391f,
5627    -0.195090322f,  0.980785280f,
5628    -0.196594598f,  0.980484862f,
5629    -0.198098411f,  0.980182136f,
5630    -0.199601758f,  0.979877104f,
5631    -0.201104635f,  0.979569766f,
5632    -0.202607039f,  0.979260123f,
5633    -0.204108966f,  0.978948175f,
5634    -0.205610413f,  0.978633924f,
5635    -0.207111376f,  0.978317371f,
5636    -0.208611852f,  0.977998515f,
5637    -0.210111837f,  0.977677358f,
5638    -0.211611327f,  0.977353900f,
5639    -0.213110320f,  0.977028143f,
5640    -0.214608811f,  0.976700086f,
5641    -0.216106797f,  0.976369731f,
5642    -0.217604275f,  0.976037079f,
5643    -0.219101240f,  0.975702130f,
5644    -0.220597690f,  0.975364885f,
5645    -0.222093621f,  0.975025345f,
5646    -0.223589029f,  0.974683511f,
5647    -0.225083911f,  0.974339383f,
5648    -0.226578264f,  0.973992962f,
5649    -0.228072083f,  0.973644250f,
5650    -0.229565366f,  0.973293246f,
5651    -0.231058108f,  0.972939952f,
5652    -0.232550307f,  0.972584369f,
5653    -0.234041959f,  0.972226497f,
5654    -0.235533059f,  0.971866337f,
5655    -0.237023606f,  0.971503891f,
5656    -0.238513595f,  0.971139158f,
5657    -0.240003022f,  0.970772141f,
5658    -0.241491885f,  0.970402839f,
5659    -0.242980180f,  0.970031253f,
5660    -0.244467903f,  0.969657385f,
5661    -0.245955050f,  0.969281235f,
5662    -0.247441619f,  0.968902805f,
5663    -0.248927606f,  0.968522094f,
5664    -0.250413007f,  0.968139105f,
5665    -0.251897818f,  0.967753837f,
5666    -0.253382037f,  0.967366292f,
5667    -0.254865660f,  0.966976471f,
5668    -0.256348682f,  0.966584374f,
5669    -0.257831102f,  0.966190003f,
5670    -0.259312915f,  0.965793359f,
5671    -0.260794118f,  0.965394442f,
5672    -0.262274707f,  0.964993253f,
5673    -0.263754679f,  0.964589793f,
5674    -0.265234030f,  0.964184064f,
5675    -0.266712757f,  0.963776066f,
5676    -0.268190857f,  0.963365800f,
5677    -0.269668326f,  0.962953267f,
5678    -0.271145160f,  0.962538468f,
5679    -0.272621355f,  0.962121404f,
5680    -0.274096910f,  0.961702077f,
5681    -0.275571819f,  0.961280486f,
5682    -0.277046080f,  0.960856633f,
5683    -0.278519689f,  0.960430519f,
5684    -0.279992643f,  0.960002146f,
5685    -0.281464938f,  0.959571513f,
5686    -0.282936570f,  0.959138622f,
5687    -0.284407537f,  0.958703475f,
5688    -0.285877835f,  0.958266071f,
5689    -0.287347460f,  0.957826413f,
5690    -0.288816408f,  0.957384501f,
5691    -0.290284677f,  0.956940336f,
5692    -0.291752263f,  0.956493919f,
5693    -0.293219163f,  0.956045251f,
5694    -0.294685372f,  0.955594334f,
5695    -0.296150888f,  0.955141168f,
5696    -0.297615707f,  0.954685755f,
5697    -0.299079826f,  0.954228095f,
5698    -0.300543241f,  0.953768190f,
5699    -0.302005949f,  0.953306040f,
5700    -0.303467947f,  0.952841648f,
5701    -0.304929230f,  0.952375013f,
5702    -0.306389795f,  0.951906137f,
5703    -0.307849640f,  0.951435021f,
5704    -0.309308760f,  0.950961666f,
5705    -0.310767153f,  0.950486074f,
5706    -0.312224814f,  0.950008245f,
5707    -0.313681740f,  0.949528181f,
5708    -0.315137929f,  0.949045882f,
5709    -0.316593376f,  0.948561350f,
5710    -0.318048077f,  0.948074586f,
5711    -0.319502031f,  0.947585591f,
5712    -0.320955232f,  0.947094366f,
5713    -0.322407679f,  0.946600913f,
5714    -0.323859367f,  0.946105232f,
5715    -0.325310292f,  0.945607325f,
5716    -0.326760452f,  0.945107193f,
5717    -0.328209844f,  0.944604837f,
5718    -0.329658463f,  0.944100258f,
5719    -0.331106306f,  0.943593458f,
5720    -0.332553370f,  0.943084437f,
5721    -0.333999651f,  0.942573198f,
5722    -0.335445147f,  0.942059740f,
5723    -0.336889853f,  0.941544065f,
5724    -0.338333767f,  0.941026175f,
5725    -0.339776884f,  0.940506071f,
5726    -0.341219202f,  0.939983753f,
5727    -0.342660717f,  0.939459224f,
5728    -0.344101426f,  0.938932484f,
5729    -0.345541325f,  0.938403534f,
5730    -0.346980411f,  0.937872376f,
5731    -0.348418680f,  0.937339012f,
5732    -0.349856130f,  0.936803442f,
5733    -0.351292756f,  0.936265667f,
5734    -0.352728556f,  0.935725689f,
5735    -0.354163525f,  0.935183510f,
5736    -0.355597662f,  0.934639130f,
5737    -0.357030961f,  0.934092550f,
5738    -0.358463421f,  0.933543773f,
5739    -0.359895037f,  0.932992799f,
5740    -0.361325806f,  0.932439629f,
5741    -0.362755724f,  0.931884266f,
5742    -0.364184790f,  0.931326709f,
5743    -0.365612998f,  0.930766961f,
5744    -0.367040346f,  0.930205023f,
5745    -0.368466830f,  0.929640896f,
5746    -0.369892447f,  0.929074581f,
5747    -0.371317194f,  0.928506080f,
5748    -0.372741067f,  0.927935395f,
5749    -0.374164063f,  0.927362526f,
5750    -0.375586178f,  0.926787474f,
5751    -0.377007410f,  0.926210242f,
5752    -0.378427755f,  0.925630831f,
5753    -0.379847209f,  0.925049241f,
5754    -0.381265769f,  0.924465474f,
5755    -0.382683432f,  0.923879533f,
5756    -0.384100195f,  0.923291417f,
5757    -0.385516054f,  0.922701128f,
5758    -0.386931006f,  0.922108669f,
5759    -0.388345047f,  0.921514039f,
5760    -0.389758174f,  0.920917242f,
5761    -0.391170384f,  0.920318277f,
5762    -0.392581674f,  0.919717146f,
5763    -0.393992040f,  0.919113852f,
5764    -0.395401479f,  0.918508394f,
5765    -0.396809987f,  0.917900776f,
5766    -0.398217562f,  0.917290997f,
5767    -0.399624200f,  0.916679060f,
5768    -0.401029897f,  0.916064966f,
5769    -0.402434651f,  0.915448716f,
5770    -0.403838458f,  0.914830312f,
5771    -0.405241314f,  0.914209756f,
5772    -0.406643217f,  0.913587048f,
5773    -0.408044163f,  0.912962190f,
5774    -0.409444149f,  0.912335185f,
5775    -0.410843171f,  0.911706032f,
5776    -0.412241227f,  0.911074734f,
5777    -0.413638312f,  0.910441292f,
5778    -0.415034424f,  0.909805708f,
5779    -0.416429560f,  0.909167983f,
5780    -0.417823716f,  0.908528119f,
5781    -0.419216888f,  0.907886116f,
5782    -0.420609074f,  0.907241978f,
5783    -0.422000271f,  0.906595705f,
5784    -0.423390474f,  0.905947298f,
5785    -0.424779681f,  0.905296759f,
5786    -0.426167889f,  0.904644091f,
5787    -0.427555093f,  0.903989293f,
5788    -0.428941292f,  0.903332368f,
5789    -0.430326481f,  0.902673318f,
5790    -0.431710658f,  0.902012144f,
5791    -0.433093819f,  0.901348847f,
5792    -0.434475961f,  0.900683429f,
5793    -0.435857080f,  0.900015892f,
5794    -0.437237174f,  0.899346237f,
5795    -0.438616239f,  0.898674466f,
5796    -0.439994271f,  0.898000580f,
5797    -0.441371269f,  0.897324581f,
5798    -0.442747228f,  0.896646470f,
5799    -0.444122145f,  0.895966250f,
5800    -0.445496017f,  0.895283921f,
5801    -0.446868840f,  0.894599486f,
5802    -0.448240612f,  0.893912945f,
5803    -0.449611330f,  0.893224301f,
5804    -0.450980989f,  0.892533555f,
5805    -0.452349587f,  0.891840709f,
5806    -0.453717121f,  0.891145765f,
5807    -0.455083587f,  0.890448723f,
5808    -0.456448982f,  0.889749586f,
5809    -0.457813304f,  0.889048356f,
5810    -0.459176548f,  0.888345033f,
5811    -0.460538711f,  0.887639620f,
5812    -0.461899791f,  0.886932119f,
5813    -0.463259784f,  0.886222530f,
5814    -0.464618686f,  0.885510856f,
5815    -0.465976496f,  0.884797098f,
5816    -0.467333209f,  0.884081259f,
5817    -0.468688822f,  0.883363339f,
5818    -0.470043332f,  0.882643340f,
5819    -0.471396737f,  0.881921264f,
5820    -0.472749032f,  0.881197113f,
5821    -0.474100215f,  0.880470889f,
5822    -0.475450282f,  0.879742593f,
5823    -0.476799230f,  0.879012226f,
5824    -0.478147056f,  0.878279792f,
5825    -0.479493758f,  0.877545290f,
5826    -0.480839331f,  0.876808724f,
5827    -0.482183772f,  0.876070094f,
5828    -0.483527079f,  0.875329403f,
5829    -0.484869248f,  0.874586652f,
5830    -0.486210276f,  0.873841843f,
5831    -0.487550160f,  0.873094978f,
5832    -0.488888897f,  0.872346059f,
5833    -0.490226483f,  0.871595087f,
5834    -0.491562916f,  0.870842063f,
5835    -0.492898192f,  0.870086991f,
5836    -0.494232309f,  0.869329871f,
5837    -0.495565262f,  0.868570706f,
5838    -0.496897049f,  0.867809497f,
5839    -0.498227667f,  0.867046246f,
5840    -0.499557113f,  0.866280954f,
5841    -0.500885383f,  0.865513624f,
5842    -0.502212474f,  0.864744258f,
5843    -0.503538384f,  0.863972856f,
5844    -0.504863109f,  0.863199422f,
5845    -0.506186645f,  0.862423956f,
5846    -0.507508991f,  0.861646461f,
5847    -0.508830143f,  0.860866939f,
5848    -0.510150097f,  0.860085390f,
5849    -0.511468850f,  0.859301818f,
5850    -0.512786401f,  0.858516224f,
5851    -0.514102744f,  0.857728610f,
5852    -0.515417878f,  0.856938977f,
5853    -0.516731799f,  0.856147328f,
5854    -0.518044504f,  0.855353665f,
5855    -0.519355990f,  0.854557988f,
5856    -0.520666254f,  0.853760301f,
5857    -0.521975293f,  0.852960605f,
5858    -0.523283103f,  0.852158902f,
5859    -0.524589683f,  0.851355193f,
5860    -0.525895027f,  0.850549481f,
5861    -0.527199135f,  0.849741768f,
5862    -0.528502002f,  0.848932055f,
5863    -0.529803625f,  0.848120345f,
5864    -0.531104001f,  0.847306639f,
5865    -0.532403128f,  0.846490939f,
5866    -0.533701002f,  0.845673247f,
5867    -0.534997620f,  0.844853565f,
5868    -0.536292979f,  0.844031895f,
5869    -0.537587076f,  0.843208240f,
5870    -0.538879909f,  0.842382600f,
5871    -0.540171473f,  0.841554977f,
5872    -0.541461766f,  0.840725375f,
5873    -0.542750785f,  0.839893794f,
5874    -0.544038527f,  0.839060237f,
5875    -0.545324988f,  0.838224706f,
5876    -0.546610167f,  0.837387202f,
5877    -0.547894059f,  0.836547727f,
5878    -0.549176662f,  0.835706284f,
5879    -0.550457973f,  0.834862875f,
5880    -0.551737988f,  0.834017501f,
5881    -0.553016706f,  0.833170165f,
5882    -0.554294121f,  0.832320868f,
5883    -0.555570233f,  0.831469612f,
5884    -0.556845037f,  0.830616400f,
5885    -0.558118531f,  0.829761234f,
5886    -0.559390712f,  0.828904115f,
5887    -0.560661576f,  0.828045045f,
5888    -0.561931121f,  0.827184027f,
5889    -0.563199344f,  0.826321063f,
5890    -0.564466242f,  0.825456154f,
5891    -0.565731811f,  0.824589303f,
5892    -0.566996049f,  0.823720511f,
5893    -0.568258953f,  0.822849781f,
5894    -0.569520519f,  0.821977115f,
5895    -0.570780746f,  0.821102515f,
5896    -0.572039629f,  0.820225983f,
5897    -0.573297167f,  0.819347520f,
5898    -0.574553355f,  0.818467130f,
5899    -0.575808191f,  0.817584813f,
5900    -0.577061673f,  0.816700573f,
5901    -0.578313796f,  0.815814411f,
5902    -0.579564559f,  0.814926329f,
5903    -0.580813958f,  0.814036330f,
5904    -0.582061990f,  0.813144415f,
5905    -0.583308653f,  0.812250587f,
5906    -0.584553943f,  0.811354847f,
5907    -0.585797857f,  0.810457198f,
5908    -0.587040394f,  0.809557642f,
5909    -0.588281548f,  0.808656182f,
5910    -0.589521319f,  0.807752818f,
5911    -0.590759702f,  0.806847554f,
5912    -0.591996695f,  0.805940391f,
5913    -0.593232295f,  0.805031331f,
5914    -0.594466499f,  0.804120377f,
5915    -0.595699304f,  0.803207531f,
5916    -0.596930708f,  0.802292796f,
5917    -0.598160707f,  0.801376172f,
5918    -0.599389298f,  0.800457662f,
5919    -0.600616479f,  0.799537269f,
5920    -0.601842247f,  0.798614995f,
5921    -0.603066599f,  0.797690841f,
5922    -0.604289531f,  0.796764810f,
5923    -0.605511041f,  0.795836905f,
5924    -0.606731127f,  0.794907126f,
5925    -0.607949785f,  0.793975478f,
5926    -0.609167012f,  0.793041960f,
5927    -0.610382806f,  0.792106577f,
5928    -0.611597164f,  0.791169330f,
5929    -0.612810082f,  0.790230221f,
5930    -0.614021559f,  0.789289253f,
5931    -0.615231591f,  0.788346428f,
5932    -0.616440175f,  0.787401747f,
5933    -0.617647308f,  0.786455214f,
5934    -0.618852988f,  0.785506830f,
5935    -0.620057212f,  0.784556597f,
5936    -0.621259977f,  0.783604519f,
5937    -0.622461279f,  0.782650596f,
5938    -0.623661118f,  0.781694832f,
5939    -0.624859488f,  0.780737229f,
5940    -0.626056388f,  0.779777788f,
5941    -0.627251815f,  0.778816512f,
5942    -0.628445767f,  0.777853404f,
5943    -0.629638239f,  0.776888466f,
5944    -0.630829230f,  0.775921699f,
5945    -0.632018736f,  0.774953107f,
5946    -0.633206755f,  0.773982691f,
5947    -0.634393284f,  0.773010453f,
5948    -0.635578320f,  0.772036397f,
5949    -0.636761861f,  0.771060524f,
5950    -0.637943904f,  0.770082837f,
5951    -0.639124445f,  0.769103338f,
5952    -0.640303482f,  0.768122029f,
5953    -0.641481013f,  0.767138912f,
5954    -0.642657034f,  0.766153990f,
5955    -0.643831543f,  0.765167266f,
5956    -0.645004537f,  0.764178741f,
5957    -0.646176013f,  0.763188417f,
5958    -0.647345969f,  0.762196298f,
5959    -0.648514401f,  0.761202385f,
5960    -0.649681307f,  0.760206682f,
5961    -0.650846685f,  0.759209189f,
5962    -0.652010531f,  0.758209910f,
5963    -0.653172843f,  0.757208847f,
5964    -0.654333618f,  0.756206001f,
5965    -0.655492853f,  0.755201377f,
5966    -0.656650546f,  0.754194975f,
5967    -0.657806693f,  0.753186799f,
5968    -0.658961293f,  0.752176850f,
5969    -0.660114342f,  0.751165132f,
5970    -0.661265838f,  0.750151646f,
5971    -0.662415778f,  0.749136395f,
5972    -0.663564159f,  0.748119380f,
5973    -0.664710978f,  0.747100606f,
5974    -0.665856234f,  0.746080074f,
5975    -0.666999922f,  0.745057785f,
5976    -0.668142041f,  0.744033744f,
5977    -0.669282588f,  0.743007952f,
5978    -0.670421560f,  0.741980412f,
5979    -0.671558955f,  0.740951125f,
5980    -0.672694769f,  0.739920095f,
5981    -0.673829000f,  0.738887324f,
5982    -0.674961646f,  0.737852815f,
5983    -0.676092704f,  0.736816569f,
5984    -0.677222170f,  0.735778589f,
5985    -0.678350043f,  0.734738878f,
5986    -0.679476320f,  0.733697438f,
5987    -0.680600998f,  0.732654272f,
5988    -0.681724074f,  0.731609381f,
5989    -0.682845546f,  0.730562769f,
5990    -0.683965412f,  0.729514438f,
5991    -0.685083668f,  0.728464390f,
5992    -0.686200312f,  0.727412629f,
5993    -0.687315341f,  0.726359155f,
5994    -0.688428753f,  0.725303972f,
5995    -0.689540545f,  0.724247083f,
5996    -0.690650714f,  0.723188489f,
5997    -0.691759258f,  0.722128194f,
5998    -0.692866175f,  0.721066199f,
5999    -0.693971461f,  0.720002508f,
6000    -0.695075114f,  0.718937122f,
6001    -0.696177131f,  0.717870045f,
6002    -0.697277511f,  0.716801279f,
6003    -0.698376249f,  0.715730825f,
6004    -0.699473345f,  0.714658688f,
6005    -0.700568794f,  0.713584869f,
6006    -0.701662595f,  0.712509371f,
6007    -0.702754744f,  0.711432196f,
6008    -0.703845241f,  0.710353347f,
6009    -0.704934080f,  0.709272826f,
6010    -0.706021261f,  0.708190637f,
6011    -0.707106781f,  0.707106781f,
6012    -0.708190637f,  0.706021261f,
6013    -0.709272826f,  0.704934080f,
6014    -0.710353347f,  0.703845241f,
6015    -0.711432196f,  0.702754744f,
6016    -0.712509371f,  0.701662595f,
6017    -0.713584869f,  0.700568794f,
6018    -0.714658688f,  0.699473345f,
6019    -0.715730825f,  0.698376249f,
6020    -0.716801279f,  0.697277511f,
6021    -0.717870045f,  0.696177131f,
6022    -0.718937122f,  0.695075114f,
6023    -0.720002508f,  0.693971461f,
6024    -0.721066199f,  0.692866175f,
6025    -0.722128194f,  0.691759258f,
6026    -0.723188489f,  0.690650714f,
6027    -0.724247083f,  0.689540545f,
6028    -0.725303972f,  0.688428753f,
6029    -0.726359155f,  0.687315341f,
6030    -0.727412629f,  0.686200312f,
6031    -0.728464390f,  0.685083668f,
6032    -0.729514438f,  0.683965412f,
6033    -0.730562769f,  0.682845546f,
6034    -0.731609381f,  0.681724074f,
6035    -0.732654272f,  0.680600998f,
6036    -0.733697438f,  0.679476320f,
6037    -0.734738878f,  0.678350043f,
6038    -0.735778589f,  0.677222170f,
6039    -0.736816569f,  0.676092704f,
6040    -0.737852815f,  0.674961646f,
6041    -0.738887324f,  0.673829000f,
6042    -0.739920095f,  0.672694769f,
6043    -0.740951125f,  0.671558955f,
6044    -0.741980412f,  0.670421560f,
6045    -0.743007952f,  0.669282588f,
6046    -0.744033744f,  0.668142041f,
6047    -0.745057785f,  0.666999922f,
6048    -0.746080074f,  0.665856234f,
6049    -0.747100606f,  0.664710978f,
6050    -0.748119380f,  0.663564159f,
6051    -0.749136395f,  0.662415778f,
6052    -0.750151646f,  0.661265838f,
6053    -0.751165132f,  0.660114342f,
6054    -0.752176850f,  0.658961293f,
6055    -0.753186799f,  0.657806693f,
6056    -0.754194975f,  0.656650546f,
6057    -0.755201377f,  0.655492853f,
6058    -0.756206001f,  0.654333618f,
6059    -0.757208847f,  0.653172843f,
6060    -0.758209910f,  0.652010531f,
6061    -0.759209189f,  0.650846685f,
6062    -0.760206682f,  0.649681307f,
6063    -0.761202385f,  0.648514401f,
6064    -0.762196298f,  0.647345969f,
6065    -0.763188417f,  0.646176013f,
6066    -0.764178741f,  0.645004537f,
6067    -0.765167266f,  0.643831543f,
6068    -0.766153990f,  0.642657034f,
6069    -0.767138912f,  0.641481013f,
6070    -0.768122029f,  0.640303482f,
6071    -0.769103338f,  0.639124445f,
6072    -0.770082837f,  0.637943904f,
6073    -0.771060524f,  0.636761861f,
6074    -0.772036397f,  0.635578320f,
6075    -0.773010453f,  0.634393284f,
6076    -0.773982691f,  0.633206755f,
6077    -0.774953107f,  0.632018736f,
6078    -0.775921699f,  0.630829230f,
6079    -0.776888466f,  0.629638239f,
6080    -0.777853404f,  0.628445767f,
6081    -0.778816512f,  0.627251815f,
6082    -0.779777788f,  0.626056388f,
6083    -0.780737229f,  0.624859488f,
6084    -0.781694832f,  0.623661118f,
6085    -0.782650596f,  0.622461279f,
6086    -0.783604519f,  0.621259977f,
6087    -0.784556597f,  0.620057212f,
6088    -0.785506830f,  0.618852988f,
6089    -0.786455214f,  0.617647308f,
6090    -0.787401747f,  0.616440175f,
6091    -0.788346428f,  0.615231591f,
6092    -0.789289253f,  0.614021559f,
6093    -0.790230221f,  0.612810082f,
6094    -0.791169330f,  0.611597164f,
6095    -0.792106577f,  0.610382806f,
6096    -0.793041960f,  0.609167012f,
6097    -0.793975478f,  0.607949785f,
6098    -0.794907126f,  0.606731127f,
6099    -0.795836905f,  0.605511041f,
6100    -0.796764810f,  0.604289531f,
6101    -0.797690841f,  0.603066599f,
6102    -0.798614995f,  0.601842247f,
6103    -0.799537269f,  0.600616479f,
6104    -0.800457662f,  0.599389298f,
6105    -0.801376172f,  0.598160707f,
6106    -0.802292796f,  0.596930708f,
6107    -0.803207531f,  0.595699304f,
6108    -0.804120377f,  0.594466499f,
6109    -0.805031331f,  0.593232295f,
6110    -0.805940391f,  0.591996695f,
6111    -0.806847554f,  0.590759702f,
6112    -0.807752818f,  0.589521319f,
6113    -0.808656182f,  0.588281548f,
6114    -0.809557642f,  0.587040394f,
6115    -0.810457198f,  0.585797857f,
6116    -0.811354847f,  0.584553943f,
6117    -0.812250587f,  0.583308653f,
6118    -0.813144415f,  0.582061990f,
6119    -0.814036330f,  0.580813958f,
6120    -0.814926329f,  0.579564559f,
6121    -0.815814411f,  0.578313796f,
6122    -0.816700573f,  0.577061673f,
6123    -0.817584813f,  0.575808191f,
6124    -0.818467130f,  0.574553355f,
6125    -0.819347520f,  0.573297167f,
6126    -0.820225983f,  0.572039629f,
6127    -0.821102515f,  0.570780746f,
6128    -0.821977115f,  0.569520519f,
6129    -0.822849781f,  0.568258953f,
6130    -0.823720511f,  0.566996049f,
6131    -0.824589303f,  0.565731811f,
6132    -0.825456154f,  0.564466242f,
6133    -0.826321063f,  0.563199344f,
6134    -0.827184027f,  0.561931121f,
6135    -0.828045045f,  0.560661576f,
6136    -0.828904115f,  0.559390712f,
6137    -0.829761234f,  0.558118531f,
6138    -0.830616400f,  0.556845037f,
6139    -0.831469612f,  0.555570233f,
6140    -0.832320868f,  0.554294121f,
6141    -0.833170165f,  0.553016706f,
6142    -0.834017501f,  0.551737988f,
6143    -0.834862875f,  0.550457973f,
6144    -0.835706284f,  0.549176662f,
6145    -0.836547727f,  0.547894059f,
6146    -0.837387202f,  0.546610167f,
6147    -0.838224706f,  0.545324988f,
6148    -0.839060237f,  0.544038527f,
6149    -0.839893794f,  0.542750785f,
6150    -0.840725375f,  0.541461766f,
6151    -0.841554977f,  0.540171473f,
6152    -0.842382600f,  0.538879909f,
6153    -0.843208240f,  0.537587076f,
6154    -0.844031895f,  0.536292979f,
6155    -0.844853565f,  0.534997620f,
6156    -0.845673247f,  0.533701002f,
6157    -0.846490939f,  0.532403128f,
6158    -0.847306639f,  0.531104001f,
6159    -0.848120345f,  0.529803625f,
6160    -0.848932055f,  0.528502002f,
6161    -0.849741768f,  0.527199135f,
6162    -0.850549481f,  0.525895027f,
6163    -0.851355193f,  0.524589683f,
6164    -0.852158902f,  0.523283103f,
6165    -0.852960605f,  0.521975293f,
6166    -0.853760301f,  0.520666254f,
6167    -0.854557988f,  0.519355990f,
6168    -0.855353665f,  0.518044504f,
6169    -0.856147328f,  0.516731799f,
6170    -0.856938977f,  0.515417878f,
6171    -0.857728610f,  0.514102744f,
6172    -0.858516224f,  0.512786401f,
6173    -0.859301818f,  0.511468850f,
6174    -0.860085390f,  0.510150097f,
6175    -0.860866939f,  0.508830143f,
6176    -0.861646461f,  0.507508991f,
6177    -0.862423956f,  0.506186645f,
6178    -0.863199422f,  0.504863109f,
6179    -0.863972856f,  0.503538384f,
6180    -0.864744258f,  0.502212474f,
6181    -0.865513624f,  0.500885383f,
6182    -0.866280954f,  0.499557113f,
6183    -0.867046246f,  0.498227667f,
6184    -0.867809497f,  0.496897049f,
6185    -0.868570706f,  0.495565262f,
6186    -0.869329871f,  0.494232309f,
6187    -0.870086991f,  0.492898192f,
6188    -0.870842063f,  0.491562916f,
6189    -0.871595087f,  0.490226483f,
6190    -0.872346059f,  0.488888897f,
6191    -0.873094978f,  0.487550160f,
6192    -0.873841843f,  0.486210276f,
6193    -0.874586652f,  0.484869248f,
6194    -0.875329403f,  0.483527079f,
6195    -0.876070094f,  0.482183772f,
6196    -0.876808724f,  0.480839331f,
6197    -0.877545290f,  0.479493758f,
6198    -0.878279792f,  0.478147056f,
6199    -0.879012226f,  0.476799230f,
6200    -0.879742593f,  0.475450282f,
6201    -0.880470889f,  0.474100215f,
6202    -0.881197113f,  0.472749032f,
6203    -0.881921264f,  0.471396737f,
6204    -0.882643340f,  0.470043332f,
6205    -0.883363339f,  0.468688822f,
6206    -0.884081259f,  0.467333209f,
6207    -0.884797098f,  0.465976496f,
6208    -0.885510856f,  0.464618686f,
6209    -0.886222530f,  0.463259784f,
6210    -0.886932119f,  0.461899791f,
6211    -0.887639620f,  0.460538711f,
6212    -0.888345033f,  0.459176548f,
6213    -0.889048356f,  0.457813304f,
6214    -0.889749586f,  0.456448982f,
6215    -0.890448723f,  0.455083587f,
6216    -0.891145765f,  0.453717121f,
6217    -0.891840709f,  0.452349587f,
6218    -0.892533555f,  0.450980989f,
6219    -0.893224301f,  0.449611330f,
6220    -0.893912945f,  0.448240612f,
6221    -0.894599486f,  0.446868840f,
6222    -0.895283921f,  0.445496017f,
6223    -0.895966250f,  0.444122145f,
6224    -0.896646470f,  0.442747228f,
6225    -0.897324581f,  0.441371269f,
6226    -0.898000580f,  0.439994271f,
6227    -0.898674466f,  0.438616239f,
6228    -0.899346237f,  0.437237174f,
6229    -0.900015892f,  0.435857080f,
6230    -0.900683429f,  0.434475961f,
6231    -0.901348847f,  0.433093819f,
6232    -0.902012144f,  0.431710658f,
6233    -0.902673318f,  0.430326481f,
6234    -0.903332368f,  0.428941292f,
6235    -0.903989293f,  0.427555093f,
6236    -0.904644091f,  0.426167889f,
6237    -0.905296759f,  0.424779681f,
6238    -0.905947298f,  0.423390474f,
6239    -0.906595705f,  0.422000271f,
6240    -0.907241978f,  0.420609074f,
6241    -0.907886116f,  0.419216888f,
6242    -0.908528119f,  0.417823716f,
6243    -0.909167983f,  0.416429560f,
6244    -0.909805708f,  0.415034424f,
6245    -0.910441292f,  0.413638312f,
6246    -0.911074734f,  0.412241227f,
6247    -0.911706032f,  0.410843171f,
6248    -0.912335185f,  0.409444149f,
6249    -0.912962190f,  0.408044163f,
6250    -0.913587048f,  0.406643217f,
6251    -0.914209756f,  0.405241314f,
6252    -0.914830312f,  0.403838458f,
6253    -0.915448716f,  0.402434651f,
6254    -0.916064966f,  0.401029897f,
6255    -0.916679060f,  0.399624200f,
6256    -0.917290997f,  0.398217562f,
6257    -0.917900776f,  0.396809987f,
6258    -0.918508394f,  0.395401479f,
6259    -0.919113852f,  0.393992040f,
6260    -0.919717146f,  0.392581674f,
6261    -0.920318277f,  0.391170384f,
6262    -0.920917242f,  0.389758174f,
6263    -0.921514039f,  0.388345047f,
6264    -0.922108669f,  0.386931006f,
6265    -0.922701128f,  0.385516054f,
6266    -0.923291417f,  0.384100195f,
6267    -0.923879533f,  0.382683432f,
6268    -0.924465474f,  0.381265769f,
6269    -0.925049241f,  0.379847209f,
6270    -0.925630831f,  0.378427755f,
6271    -0.926210242f,  0.377007410f,
6272    -0.926787474f,  0.375586178f,
6273    -0.927362526f,  0.374164063f,
6274    -0.927935395f,  0.372741067f,
6275    -0.928506080f,  0.371317194f,
6276    -0.929074581f,  0.369892447f,
6277    -0.929640896f,  0.368466830f,
6278    -0.930205023f,  0.367040346f,
6279    -0.930766961f,  0.365612998f,
6280    -0.931326709f,  0.364184790f,
6281    -0.931884266f,  0.362755724f,
6282    -0.932439629f,  0.361325806f,
6283    -0.932992799f,  0.359895037f,
6284    -0.933543773f,  0.358463421f,
6285    -0.934092550f,  0.357030961f,
6286    -0.934639130f,  0.355597662f,
6287    -0.935183510f,  0.354163525f,
6288    -0.935725689f,  0.352728556f,
6289    -0.936265667f,  0.351292756f,
6290    -0.936803442f,  0.349856130f,
6291    -0.937339012f,  0.348418680f,
6292    -0.937872376f,  0.346980411f,
6293    -0.938403534f,  0.345541325f,
6294    -0.938932484f,  0.344101426f,
6295    -0.939459224f,  0.342660717f,
6296    -0.939983753f,  0.341219202f,
6297    -0.940506071f,  0.339776884f,
6298    -0.941026175f,  0.338333767f,
6299    -0.941544065f,  0.336889853f,
6300    -0.942059740f,  0.335445147f,
6301    -0.942573198f,  0.333999651f,
6302    -0.943084437f,  0.332553370f,
6303    -0.943593458f,  0.331106306f,
6304    -0.944100258f,  0.329658463f,
6305    -0.944604837f,  0.328209844f,
6306    -0.945107193f,  0.326760452f,
6307    -0.945607325f,  0.325310292f,
6308    -0.946105232f,  0.323859367f,
6309    -0.946600913f,  0.322407679f,
6310    -0.947094366f,  0.320955232f,
6311    -0.947585591f,  0.319502031f,
6312    -0.948074586f,  0.318048077f,
6313    -0.948561350f,  0.316593376f,
6314    -0.949045882f,  0.315137929f,
6315    -0.949528181f,  0.313681740f,
6316    -0.950008245f,  0.312224814f,
6317    -0.950486074f,  0.310767153f,
6318    -0.950961666f,  0.309308760f,
6319    -0.951435021f,  0.307849640f,
6320    -0.951906137f,  0.306389795f,
6321    -0.952375013f,  0.304929230f,
6322    -0.952841648f,  0.303467947f,
6323    -0.953306040f,  0.302005949f,
6324    -0.953768190f,  0.300543241f,
6325    -0.954228095f,  0.299079826f,
6326    -0.954685755f,  0.297615707f,
6327    -0.955141168f,  0.296150888f,
6328    -0.955594334f,  0.294685372f,
6329    -0.956045251f,  0.293219163f,
6330    -0.956493919f,  0.291752263f,
6331    -0.956940336f,  0.290284677f,
6332    -0.957384501f,  0.288816408f,
6333    -0.957826413f,  0.287347460f,
6334    -0.958266071f,  0.285877835f,
6335    -0.958703475f,  0.284407537f,
6336    -0.959138622f,  0.282936570f,
6337    -0.959571513f,  0.281464938f,
6338    -0.960002146f,  0.279992643f,
6339    -0.960430519f,  0.278519689f,
6340    -0.960856633f,  0.277046080f,
6341    -0.961280486f,  0.275571819f,
6342    -0.961702077f,  0.274096910f,
6343    -0.962121404f,  0.272621355f,
6344    -0.962538468f,  0.271145160f,
6345    -0.962953267f,  0.269668326f,
6346    -0.963365800f,  0.268190857f,
6347    -0.963776066f,  0.266712757f,
6348    -0.964184064f,  0.265234030f,
6349    -0.964589793f,  0.263754679f,
6350    -0.964993253f,  0.262274707f,
6351    -0.965394442f,  0.260794118f,
6352    -0.965793359f,  0.259312915f,
6353    -0.966190003f,  0.257831102f,
6354    -0.966584374f,  0.256348682f,
6355    -0.966976471f,  0.254865660f,
6356    -0.967366292f,  0.253382037f,
6357    -0.967753837f,  0.251897818f,
6358    -0.968139105f,  0.250413007f,
6359    -0.968522094f,  0.248927606f,
6360    -0.968902805f,  0.247441619f,
6361    -0.969281235f,  0.245955050f,
6362    -0.969657385f,  0.244467903f,
6363    -0.970031253f,  0.242980180f,
6364    -0.970402839f,  0.241491885f,
6365    -0.970772141f,  0.240003022f,
6366    -0.971139158f,  0.238513595f,
6367    -0.971503891f,  0.237023606f,
6368    -0.971866337f,  0.235533059f,
6369    -0.972226497f,  0.234041959f,
6370    -0.972584369f,  0.232550307f,
6371    -0.972939952f,  0.231058108f,
6372    -0.973293246f,  0.229565366f,
6373    -0.973644250f,  0.228072083f,
6374    -0.973992962f,  0.226578264f,
6375    -0.974339383f,  0.225083911f,
6376    -0.974683511f,  0.223589029f,
6377    -0.975025345f,  0.222093621f,
6378    -0.975364885f,  0.220597690f,
6379    -0.975702130f,  0.219101240f,
6380    -0.976037079f,  0.217604275f,
6381    -0.976369731f,  0.216106797f,
6382    -0.976700086f,  0.214608811f,
6383    -0.977028143f,  0.213110320f,
6384    -0.977353900f,  0.211611327f,
6385    -0.977677358f,  0.210111837f,
6386    -0.977998515f,  0.208611852f,
6387    -0.978317371f,  0.207111376f,
6388    -0.978633924f,  0.205610413f,
6389    -0.978948175f,  0.204108966f,
6390    -0.979260123f,  0.202607039f,
6391    -0.979569766f,  0.201104635f,
6392    -0.979877104f,  0.199601758f,
6393    -0.980182136f,  0.198098411f,
6394    -0.980484862f,  0.196594598f,
6395    -0.980785280f,  0.195090322f,
6396    -0.981083391f,  0.193585587f,
6397    -0.981379193f,  0.192080397f,
6398    -0.981672686f,  0.190574755f,
6399    -0.981963869f,  0.189068664f,
6400    -0.982252741f,  0.187562129f,
6401    -0.982539302f,  0.186055152f,
6402    -0.982823551f,  0.184547737f,
6403    -0.983105487f,  0.183039888f,
6404    -0.983385110f,  0.181531608f,
6405    -0.983662419f,  0.180022901f,
6406    -0.983937413f,  0.178513771f,
6407    -0.984210092f,  0.177004220f,
6408    -0.984480455f,  0.175494253f,
6409    -0.984748502f,  0.173983873f,
6410    -0.985014231f,  0.172473084f,
6411    -0.985277642f,  0.170961889f,
6412    -0.985538735f,  0.169450291f,
6413    -0.985797509f,  0.167938295f,
6414    -0.986053963f,  0.166425904f,
6415    -0.986308097f,  0.164913120f,
6416    -0.986559910f,  0.163399949f,
6417    -0.986809402f,  0.161886394f,
6418    -0.987056571f,  0.160372457f,
6419    -0.987301418f,  0.158858143f,
6420    -0.987543942f,  0.157343456f,
6421    -0.987784142f,  0.155828398f,
6422    -0.988022017f,  0.154312973f,
6423    -0.988257568f,  0.152797185f,
6424    -0.988490793f,  0.151281038f,
6425    -0.988721692f,  0.149764535f,
6426    -0.988950265f,  0.148247679f,
6427    -0.989176510f,  0.146730474f,
6428    -0.989400428f,  0.145212925f,
6429    -0.989622017f,  0.143695033f,
6430    -0.989841278f,  0.142176804f,
6431    -0.990058210f,  0.140658239f,
6432    -0.990272812f,  0.139139344f,
6433    -0.990485084f,  0.137620122f,
6434    -0.990695025f,  0.136100575f,
6435    -0.990902635f,  0.134580709f,
6436    -0.991107914f,  0.133060525f,
6437    -0.991310860f,  0.131540029f,
6438    -0.991511473f,  0.130019223f,
6439    -0.991709754f,  0.128498111f,
6440    -0.991905700f,  0.126976696f,
6441    -0.992099313f,  0.125454983f,
6442    -0.992290591f,  0.123932975f,
6443    -0.992479535f,  0.122410675f,
6444    -0.992666142f,  0.120888087f,
6445    -0.992850414f,  0.119365215f,
6446    -0.993032350f,  0.117842062f,
6447    -0.993211949f,  0.116318631f,
6448    -0.993389211f,  0.114794927f,
6449    -0.993564136f,  0.113270952f,
6450    -0.993736722f,  0.111746711f,
6451    -0.993906970f,  0.110222207f,
6452    -0.994074879f,  0.108697444f,
6453    -0.994240449f,  0.107172425f,
6454    -0.994403680f,  0.105647154f,
6455    -0.994564571f,  0.104121634f,
6456    -0.994723121f,  0.102595869f,
6457    -0.994879331f,  0.101069863f,
6458    -0.995033199f,  0.099543619f,
6459    -0.995184727f,  0.098017140f,
6460    -0.995333912f,  0.096490431f,
6461    -0.995480755f,  0.094963495f,
6462    -0.995625256f,  0.093436336f,
6463    -0.995767414f,  0.091908956f,
6464    -0.995907229f,  0.090381361f,
6465    -0.996044701f,  0.088853553f,
6466    -0.996179829f,  0.087325535f,
6467    -0.996312612f,  0.085797312f,
6468    -0.996443051f,  0.084268888f,
6469    -0.996571146f,  0.082740265f,
6470    -0.996696895f,  0.081211447f,
6471    -0.996820299f,  0.079682438f,
6472    -0.996941358f,  0.078153242f,
6473    -0.997060070f,  0.076623861f,
6474    -0.997176437f,  0.075094301f,
6475    -0.997290457f,  0.073564564f,
6476    -0.997402130f,  0.072034653f,
6477    -0.997511456f,  0.070504573f,
6478    -0.997618435f,  0.068974328f,
6479    -0.997723067f,  0.067443920f,
6480    -0.997825350f,  0.065913353f,
6481    -0.997925286f,  0.064382631f,
6482    -0.998022874f,  0.062851758f,
6483    -0.998118113f,  0.061320736f,
6484    -0.998211003f,  0.059789571f,
6485    -0.998301545f,  0.058258265f,
6486    -0.998389737f,  0.056726821f,
6487    -0.998475581f,  0.055195244f,
6488    -0.998559074f,  0.053663538f,
6489    -0.998640218f,  0.052131705f,
6490    -0.998719012f,  0.050599749f,
6491    -0.998795456f,  0.049067674f,
6492    -0.998869550f,  0.047535484f,
6493    -0.998941293f,  0.046003182f,
6494    -0.999010686f,  0.044470772f,
6495    -0.999077728f,  0.042938257f,
6496    -0.999142419f,  0.041405641f,
6497    -0.999204759f,  0.039872928f,
6498    -0.999264747f,  0.038340120f,
6499    -0.999322385f,  0.036807223f,
6500    -0.999377670f,  0.035274239f,
6501    -0.999430605f,  0.033741172f,
6502    -0.999481187f,  0.032208025f,
6503    -0.999529418f,  0.030674803f,
6504    -0.999575296f,  0.029141509f,
6505    -0.999618822f,  0.027608146f,
6506    -0.999659997f,  0.026074718f,
6507    -0.999698819f,  0.024541229f,
6508    -0.999735288f,  0.023007681f,
6509    -0.999769405f,  0.021474080f,
6510    -0.999801170f,  0.019940429f,
6511    -0.999830582f,  0.018406730f,
6512    -0.999857641f,  0.016872988f,
6513    -0.999882347f,  0.015339206f,
6514    -0.999904701f,  0.013805389f,
6515    -0.999924702f,  0.012271538f,
6516    -0.999942350f,  0.010737659f,
6517    -0.999957645f,  0.009203755f,
6518    -0.999970586f,  0.007669829f,
6519    -0.999981175f,  0.006135885f,
6520    -0.999989411f,  0.004601926f,
6521    -0.999995294f,  0.003067957f,
6522    -0.999998823f,  0.001533980f,
6523    -1.000000000f,  0.000000000f,
6524    -0.999998823f, -0.001533980f,
6525    -0.999995294f, -0.003067957f,
6526    -0.999989411f, -0.004601926f,
6527    -0.999981175f, -0.006135885f,
6528    -0.999970586f, -0.007669829f,
6529    -0.999957645f, -0.009203755f,
6530    -0.999942350f, -0.010737659f,
6531    -0.999924702f, -0.012271538f,
6532    -0.999904701f, -0.013805389f,
6533    -0.999882347f, -0.015339206f,
6534    -0.999857641f, -0.016872988f,
6535    -0.999830582f, -0.018406730f,
6536    -0.999801170f, -0.019940429f,
6537    -0.999769405f, -0.021474080f,
6538    -0.999735288f, -0.023007681f,
6539    -0.999698819f, -0.024541229f,
6540    -0.999659997f, -0.026074718f,
6541    -0.999618822f, -0.027608146f,
6542    -0.999575296f, -0.029141509f,
6543    -0.999529418f, -0.030674803f,
6544    -0.999481187f, -0.032208025f,
6545    -0.999430605f, -0.033741172f,
6546    -0.999377670f, -0.035274239f,
6547    -0.999322385f, -0.036807223f,
6548    -0.999264747f, -0.038340120f,
6549    -0.999204759f, -0.039872928f,
6550    -0.999142419f, -0.041405641f,
6551    -0.999077728f, -0.042938257f,
6552    -0.999010686f, -0.044470772f,
6553    -0.998941293f, -0.046003182f,
6554    -0.998869550f, -0.047535484f,
6555    -0.998795456f, -0.049067674f,
6556    -0.998719012f, -0.050599749f,
6557    -0.998640218f, -0.052131705f,
6558    -0.998559074f, -0.053663538f,
6559    -0.998475581f, -0.055195244f,
6560    -0.998389737f, -0.056726821f,
6561    -0.998301545f, -0.058258265f,
6562    -0.998211003f, -0.059789571f,
6563    -0.998118113f, -0.061320736f,
6564    -0.998022874f, -0.062851758f,
6565    -0.997925286f, -0.064382631f,
6566    -0.997825350f, -0.065913353f,
6567    -0.997723067f, -0.067443920f,
6568    -0.997618435f, -0.068974328f,
6569    -0.997511456f, -0.070504573f,
6570    -0.997402130f, -0.072034653f,
6571    -0.997290457f, -0.073564564f,
6572    -0.997176437f, -0.075094301f,
6573    -0.997060070f, -0.076623861f,
6574    -0.996941358f, -0.078153242f,
6575    -0.996820299f, -0.079682438f,
6576    -0.996696895f, -0.081211447f,
6577    -0.996571146f, -0.082740265f,
6578    -0.996443051f, -0.084268888f,
6579    -0.996312612f, -0.085797312f,
6580    -0.996179829f, -0.087325535f,
6581    -0.996044701f, -0.088853553f,
6582    -0.995907229f, -0.090381361f,
6583    -0.995767414f, -0.091908956f,
6584    -0.995625256f, -0.093436336f,
6585    -0.995480755f, -0.094963495f,
6586    -0.995333912f, -0.096490431f,
6587    -0.995184727f, -0.098017140f,
6588    -0.995033199f, -0.099543619f,
6589    -0.994879331f, -0.101069863f,
6590    -0.994723121f, -0.102595869f,
6591    -0.994564571f, -0.104121634f,
6592    -0.994403680f, -0.105647154f,
6593    -0.994240449f, -0.107172425f,
6594    -0.994074879f, -0.108697444f,
6595    -0.993906970f, -0.110222207f,
6596    -0.993736722f, -0.111746711f,
6597    -0.993564136f, -0.113270952f,
6598    -0.993389211f, -0.114794927f,
6599    -0.993211949f, -0.116318631f,
6600    -0.993032350f, -0.117842062f,
6601    -0.992850414f, -0.119365215f,
6602    -0.992666142f, -0.120888087f,
6603    -0.992479535f, -0.122410675f,
6604    -0.992290591f, -0.123932975f,
6605    -0.992099313f, -0.125454983f,
6606    -0.991905700f, -0.126976696f,
6607    -0.991709754f, -0.128498111f,
6608    -0.991511473f, -0.130019223f,
6609    -0.991310860f, -0.131540029f,
6610    -0.991107914f, -0.133060525f,
6611    -0.990902635f, -0.134580709f,
6612    -0.990695025f, -0.136100575f,
6613    -0.990485084f, -0.137620122f,
6614    -0.990272812f, -0.139139344f,
6615    -0.990058210f, -0.140658239f,
6616    -0.989841278f, -0.142176804f,
6617    -0.989622017f, -0.143695033f,
6618    -0.989400428f, -0.145212925f,
6619    -0.989176510f, -0.146730474f,
6620    -0.988950265f, -0.148247679f,
6621    -0.988721692f, -0.149764535f,
6622    -0.988490793f, -0.151281038f,
6623    -0.988257568f, -0.152797185f,
6624    -0.988022017f, -0.154312973f,
6625    -0.987784142f, -0.155828398f,
6626    -0.987543942f, -0.157343456f,
6627    -0.987301418f, -0.158858143f,
6628    -0.987056571f, -0.160372457f,
6629    -0.986809402f, -0.161886394f,
6630    -0.986559910f, -0.163399949f,
6631    -0.986308097f, -0.164913120f,
6632    -0.986053963f, -0.166425904f,
6633    -0.985797509f, -0.167938295f,
6634    -0.985538735f, -0.169450291f,
6635    -0.985277642f, -0.170961889f,
6636    -0.985014231f, -0.172473084f,
6637    -0.984748502f, -0.173983873f,
6638    -0.984480455f, -0.175494253f,
6639    -0.984210092f, -0.177004220f,
6640    -0.983937413f, -0.178513771f,
6641    -0.983662419f, -0.180022901f,
6642    -0.983385110f, -0.181531608f,
6643    -0.983105487f, -0.183039888f,
6644    -0.982823551f, -0.184547737f,
6645    -0.982539302f, -0.186055152f,
6646    -0.982252741f, -0.187562129f,
6647    -0.981963869f, -0.189068664f,
6648    -0.981672686f, -0.190574755f,
6649    -0.981379193f, -0.192080397f,
6650    -0.981083391f, -0.193585587f,
6651    -0.980785280f, -0.195090322f,
6652    -0.980484862f, -0.196594598f,
6653    -0.980182136f, -0.198098411f,
6654    -0.979877104f, -0.199601758f,
6655    -0.979569766f, -0.201104635f,
6656    -0.979260123f, -0.202607039f,
6657    -0.978948175f, -0.204108966f,
6658    -0.978633924f, -0.205610413f,
6659    -0.978317371f, -0.207111376f,
6660    -0.977998515f, -0.208611852f,
6661    -0.977677358f, -0.210111837f,
6662    -0.977353900f, -0.211611327f,
6663    -0.977028143f, -0.213110320f,
6664    -0.976700086f, -0.214608811f,
6665    -0.976369731f, -0.216106797f,
6666    -0.976037079f, -0.217604275f,
6667    -0.975702130f, -0.219101240f,
6668    -0.975364885f, -0.220597690f,
6669    -0.975025345f, -0.222093621f,
6670    -0.974683511f, -0.223589029f,
6671    -0.974339383f, -0.225083911f,
6672    -0.973992962f, -0.226578264f,
6673    -0.973644250f, -0.228072083f,
6674    -0.973293246f, -0.229565366f,
6675    -0.972939952f, -0.231058108f,
6676    -0.972584369f, -0.232550307f,
6677    -0.972226497f, -0.234041959f,
6678    -0.971866337f, -0.235533059f,
6679    -0.971503891f, -0.237023606f,
6680    -0.971139158f, -0.238513595f,
6681    -0.970772141f, -0.240003022f,
6682    -0.970402839f, -0.241491885f,
6683    -0.970031253f, -0.242980180f,
6684    -0.969657385f, -0.244467903f,
6685    -0.969281235f, -0.245955050f,
6686    -0.968902805f, -0.247441619f,
6687    -0.968522094f, -0.248927606f,
6688    -0.968139105f, -0.250413007f,
6689    -0.967753837f, -0.251897818f,
6690    -0.967366292f, -0.253382037f,
6691    -0.966976471f, -0.254865660f,
6692    -0.966584374f, -0.256348682f,
6693    -0.966190003f, -0.257831102f,
6694    -0.965793359f, -0.259312915f,
6695    -0.965394442f, -0.260794118f,
6696    -0.964993253f, -0.262274707f,
6697    -0.964589793f, -0.263754679f,
6698    -0.964184064f, -0.265234030f,
6699    -0.963776066f, -0.266712757f,
6700    -0.963365800f, -0.268190857f,
6701    -0.962953267f, -0.269668326f,
6702    -0.962538468f, -0.271145160f,
6703    -0.962121404f, -0.272621355f,
6704    -0.961702077f, -0.274096910f,
6705    -0.961280486f, -0.275571819f,
6706    -0.960856633f, -0.277046080f,
6707    -0.960430519f, -0.278519689f,
6708    -0.960002146f, -0.279992643f,
6709    -0.959571513f, -0.281464938f,
6710    -0.959138622f, -0.282936570f,
6711    -0.958703475f, -0.284407537f,
6712    -0.958266071f, -0.285877835f,
6713    -0.957826413f, -0.287347460f,
6714    -0.957384501f, -0.288816408f,
6715    -0.956940336f, -0.290284677f,
6716    -0.956493919f, -0.291752263f,
6717    -0.956045251f, -0.293219163f,
6718    -0.955594334f, -0.294685372f,
6719    -0.955141168f, -0.296150888f,
6720    -0.954685755f, -0.297615707f,
6721    -0.954228095f, -0.299079826f,
6722    -0.953768190f, -0.300543241f,
6723    -0.953306040f, -0.302005949f,
6724    -0.952841648f, -0.303467947f,
6725    -0.952375013f, -0.304929230f,
6726    -0.951906137f, -0.306389795f,
6727    -0.951435021f, -0.307849640f,
6728    -0.950961666f, -0.309308760f,
6729    -0.950486074f, -0.310767153f,
6730    -0.950008245f, -0.312224814f,
6731    -0.949528181f, -0.313681740f,
6732    -0.949045882f, -0.315137929f,
6733    -0.948561350f, -0.316593376f,
6734    -0.948074586f, -0.318048077f,
6735    -0.947585591f, -0.319502031f,
6736    -0.947094366f, -0.320955232f,
6737    -0.946600913f, -0.322407679f,
6738    -0.946105232f, -0.323859367f,
6739    -0.945607325f, -0.325310292f,
6740    -0.945107193f, -0.326760452f,
6741    -0.944604837f, -0.328209844f,
6742    -0.944100258f, -0.329658463f,
6743    -0.943593458f, -0.331106306f,
6744    -0.943084437f, -0.332553370f,
6745    -0.942573198f, -0.333999651f,
6746    -0.942059740f, -0.335445147f,
6747    -0.941544065f, -0.336889853f,
6748    -0.941026175f, -0.338333767f,
6749    -0.940506071f, -0.339776884f,
6750    -0.939983753f, -0.341219202f,
6751    -0.939459224f, -0.342660717f,
6752    -0.938932484f, -0.344101426f,
6753    -0.938403534f, -0.345541325f,
6754    -0.937872376f, -0.346980411f,
6755    -0.937339012f, -0.348418680f,
6756    -0.936803442f, -0.349856130f,
6757    -0.936265667f, -0.351292756f,
6758    -0.935725689f, -0.352728556f,
6759    -0.935183510f, -0.354163525f,
6760    -0.934639130f, -0.355597662f,
6761    -0.934092550f, -0.357030961f,
6762    -0.933543773f, -0.358463421f,
6763    -0.932992799f, -0.359895037f,
6764    -0.932439629f, -0.361325806f,
6765    -0.931884266f, -0.362755724f,
6766    -0.931326709f, -0.364184790f,
6767    -0.930766961f, -0.365612998f,
6768    -0.930205023f, -0.367040346f,
6769    -0.929640896f, -0.368466830f,
6770    -0.929074581f, -0.369892447f,
6771    -0.928506080f, -0.371317194f,
6772    -0.927935395f, -0.372741067f,
6773    -0.927362526f, -0.374164063f,
6774    -0.926787474f, -0.375586178f,
6775    -0.926210242f, -0.377007410f,
6776    -0.925630831f, -0.378427755f,
6777    -0.925049241f, -0.379847209f,
6778    -0.924465474f, -0.381265769f,
6779    -0.923879533f, -0.382683432f,
6780    -0.923291417f, -0.384100195f,
6781    -0.922701128f, -0.385516054f,
6782    -0.922108669f, -0.386931006f,
6783    -0.921514039f, -0.388345047f,
6784    -0.920917242f, -0.389758174f,
6785    -0.920318277f, -0.391170384f,
6786    -0.919717146f, -0.392581674f,
6787    -0.919113852f, -0.393992040f,
6788    -0.918508394f, -0.395401479f,
6789    -0.917900776f, -0.396809987f,
6790    -0.917290997f, -0.398217562f,
6791    -0.916679060f, -0.399624200f,
6792    -0.916064966f, -0.401029897f,
6793    -0.915448716f, -0.402434651f,
6794    -0.914830312f, -0.403838458f,
6795    -0.914209756f, -0.405241314f,
6796    -0.913587048f, -0.406643217f,
6797    -0.912962190f, -0.408044163f,
6798    -0.912335185f, -0.409444149f,
6799    -0.911706032f, -0.410843171f,
6800    -0.911074734f, -0.412241227f,
6801    -0.910441292f, -0.413638312f,
6802    -0.909805708f, -0.415034424f,
6803    -0.909167983f, -0.416429560f,
6804    -0.908528119f, -0.417823716f,
6805    -0.907886116f, -0.419216888f,
6806    -0.907241978f, -0.420609074f,
6807    -0.906595705f, -0.422000271f,
6808    -0.905947298f, -0.423390474f,
6809    -0.905296759f, -0.424779681f,
6810    -0.904644091f, -0.426167889f,
6811    -0.903989293f, -0.427555093f,
6812    -0.903332368f, -0.428941292f,
6813    -0.902673318f, -0.430326481f,
6814    -0.902012144f, -0.431710658f,
6815    -0.901348847f, -0.433093819f,
6816    -0.900683429f, -0.434475961f,
6817    -0.900015892f, -0.435857080f,
6818    -0.899346237f, -0.437237174f,
6819    -0.898674466f, -0.438616239f,
6820    -0.898000580f, -0.439994271f,
6821    -0.897324581f, -0.441371269f,
6822    -0.896646470f, -0.442747228f,
6823    -0.895966250f, -0.444122145f,
6824    -0.895283921f, -0.445496017f,
6825    -0.894599486f, -0.446868840f,
6826    -0.893912945f, -0.448240612f,
6827    -0.893224301f, -0.449611330f,
6828    -0.892533555f, -0.450980989f,
6829    -0.891840709f, -0.452349587f,
6830    -0.891145765f, -0.453717121f,
6831    -0.890448723f, -0.455083587f,
6832    -0.889749586f, -0.456448982f,
6833    -0.889048356f, -0.457813304f,
6834    -0.888345033f, -0.459176548f,
6835    -0.887639620f, -0.460538711f,
6836    -0.886932119f, -0.461899791f,
6837    -0.886222530f, -0.463259784f,
6838    -0.885510856f, -0.464618686f,
6839    -0.884797098f, -0.465976496f,
6840    -0.884081259f, -0.467333209f,
6841    -0.883363339f, -0.468688822f,
6842    -0.882643340f, -0.470043332f,
6843    -0.881921264f, -0.471396737f,
6844    -0.881197113f, -0.472749032f,
6845    -0.880470889f, -0.474100215f,
6846    -0.879742593f, -0.475450282f,
6847    -0.879012226f, -0.476799230f,
6848    -0.878279792f, -0.478147056f,
6849    -0.877545290f, -0.479493758f,
6850    -0.876808724f, -0.480839331f,
6851    -0.876070094f, -0.482183772f,
6852    -0.875329403f, -0.483527079f,
6853    -0.874586652f, -0.484869248f,
6854    -0.873841843f, -0.486210276f,
6855    -0.873094978f, -0.487550160f,
6856    -0.872346059f, -0.488888897f,
6857    -0.871595087f, -0.490226483f,
6858    -0.870842063f, -0.491562916f,
6859    -0.870086991f, -0.492898192f,
6860    -0.869329871f, -0.494232309f,
6861    -0.868570706f, -0.495565262f,
6862    -0.867809497f, -0.496897049f,
6863    -0.867046246f, -0.498227667f,
6864    -0.866280954f, -0.499557113f,
6865    -0.865513624f, -0.500885383f,
6866    -0.864744258f, -0.502212474f,
6867    -0.863972856f, -0.503538384f,
6868    -0.863199422f, -0.504863109f,
6869    -0.862423956f, -0.506186645f,
6870    -0.861646461f, -0.507508991f,
6871    -0.860866939f, -0.508830143f,
6872    -0.860085390f, -0.510150097f,
6873    -0.859301818f, -0.511468850f,
6874    -0.858516224f, -0.512786401f,
6875    -0.857728610f, -0.514102744f,
6876    -0.856938977f, -0.515417878f,
6877    -0.856147328f, -0.516731799f,
6878    -0.855353665f, -0.518044504f,
6879    -0.854557988f, -0.519355990f,
6880    -0.853760301f, -0.520666254f,
6881    -0.852960605f, -0.521975293f,
6882    -0.852158902f, -0.523283103f,
6883    -0.851355193f, -0.524589683f,
6884    -0.850549481f, -0.525895027f,
6885    -0.849741768f, -0.527199135f,
6886    -0.848932055f, -0.528502002f,
6887    -0.848120345f, -0.529803625f,
6888    -0.847306639f, -0.531104001f,
6889    -0.846490939f, -0.532403128f,
6890    -0.845673247f, -0.533701002f,
6891    -0.844853565f, -0.534997620f,
6892    -0.844031895f, -0.536292979f,
6893    -0.843208240f, -0.537587076f,
6894    -0.842382600f, -0.538879909f,
6895    -0.841554977f, -0.540171473f,
6896    -0.840725375f, -0.541461766f,
6897    -0.839893794f, -0.542750785f,
6898    -0.839060237f, -0.544038527f,
6899    -0.838224706f, -0.545324988f,
6900    -0.837387202f, -0.546610167f,
6901    -0.836547727f, -0.547894059f,
6902    -0.835706284f, -0.549176662f,
6903    -0.834862875f, -0.550457973f,
6904    -0.834017501f, -0.551737988f,
6905    -0.833170165f, -0.553016706f,
6906    -0.832320868f, -0.554294121f,
6907    -0.831469612f, -0.555570233f,
6908    -0.830616400f, -0.556845037f,
6909    -0.829761234f, -0.558118531f,
6910    -0.828904115f, -0.559390712f,
6911    -0.828045045f, -0.560661576f,
6912    -0.827184027f, -0.561931121f,
6913    -0.826321063f, -0.563199344f,
6914    -0.825456154f, -0.564466242f,
6915    -0.824589303f, -0.565731811f,
6916    -0.823720511f, -0.566996049f,
6917    -0.822849781f, -0.568258953f,
6918    -0.821977115f, -0.569520519f,
6919    -0.821102515f, -0.570780746f,
6920    -0.820225983f, -0.572039629f,
6921    -0.819347520f, -0.573297167f,
6922    -0.818467130f, -0.574553355f,
6923    -0.817584813f, -0.575808191f,
6924    -0.816700573f, -0.577061673f,
6925    -0.815814411f, -0.578313796f,
6926    -0.814926329f, -0.579564559f,
6927    -0.814036330f, -0.580813958f,
6928    -0.813144415f, -0.582061990f,
6929    -0.812250587f, -0.583308653f,
6930    -0.811354847f, -0.584553943f,
6931    -0.810457198f, -0.585797857f,
6932    -0.809557642f, -0.587040394f,
6933    -0.808656182f, -0.588281548f,
6934    -0.807752818f, -0.589521319f,
6935    -0.806847554f, -0.590759702f,
6936    -0.805940391f, -0.591996695f,
6937    -0.805031331f, -0.593232295f,
6938    -0.804120377f, -0.594466499f,
6939    -0.803207531f, -0.595699304f,
6940    -0.802292796f, -0.596930708f,
6941    -0.801376172f, -0.598160707f,
6942    -0.800457662f, -0.599389298f,
6943    -0.799537269f, -0.600616479f,
6944    -0.798614995f, -0.601842247f,
6945    -0.797690841f, -0.603066599f,
6946    -0.796764810f, -0.604289531f,
6947    -0.795836905f, -0.605511041f,
6948    -0.794907126f, -0.606731127f,
6949    -0.793975478f, -0.607949785f,
6950    -0.793041960f, -0.609167012f,
6951    -0.792106577f, -0.610382806f,
6952    -0.791169330f, -0.611597164f,
6953    -0.790230221f, -0.612810082f,
6954    -0.789289253f, -0.614021559f,
6955    -0.788346428f, -0.615231591f,
6956    -0.787401747f, -0.616440175f,
6957    -0.786455214f, -0.617647308f,
6958    -0.785506830f, -0.618852988f,
6959    -0.784556597f, -0.620057212f,
6960    -0.783604519f, -0.621259977f,
6961    -0.782650596f, -0.622461279f,
6962    -0.781694832f, -0.623661118f,
6963    -0.780737229f, -0.624859488f,
6964    -0.779777788f, -0.626056388f,
6965    -0.778816512f, -0.627251815f,
6966    -0.777853404f, -0.628445767f,
6967    -0.776888466f, -0.629638239f,
6968    -0.775921699f, -0.630829230f,
6969    -0.774953107f, -0.632018736f,
6970    -0.773982691f, -0.633206755f,
6971    -0.773010453f, -0.634393284f,
6972    -0.772036397f, -0.635578320f,
6973    -0.771060524f, -0.636761861f,
6974    -0.770082837f, -0.637943904f,
6975    -0.769103338f, -0.639124445f,
6976    -0.768122029f, -0.640303482f,
6977    -0.767138912f, -0.641481013f,
6978    -0.766153990f, -0.642657034f,
6979    -0.765167266f, -0.643831543f,
6980    -0.764178741f, -0.645004537f,
6981    -0.763188417f, -0.646176013f,
6982    -0.762196298f, -0.647345969f,
6983    -0.761202385f, -0.648514401f,
6984    -0.760206682f, -0.649681307f,
6985    -0.759209189f, -0.650846685f,
6986    -0.758209910f, -0.652010531f,
6987    -0.757208847f, -0.653172843f,
6988    -0.756206001f, -0.654333618f,
6989    -0.755201377f, -0.655492853f,
6990    -0.754194975f, -0.656650546f,
6991    -0.753186799f, -0.657806693f,
6992    -0.752176850f, -0.658961293f,
6993    -0.751165132f, -0.660114342f,
6994    -0.750151646f, -0.661265838f,
6995    -0.749136395f, -0.662415778f,
6996    -0.748119380f, -0.663564159f,
6997    -0.747100606f, -0.664710978f,
6998    -0.746080074f, -0.665856234f,
6999    -0.745057785f, -0.666999922f,
7000    -0.744033744f, -0.668142041f,
7001    -0.743007952f, -0.669282588f,
7002    -0.741980412f, -0.670421560f,
7003    -0.740951125f, -0.671558955f,
7004    -0.739920095f, -0.672694769f,
7005    -0.738887324f, -0.673829000f,
7006    -0.737852815f, -0.674961646f,
7007    -0.736816569f, -0.676092704f,
7008    -0.735778589f, -0.677222170f,
7009    -0.734738878f, -0.678350043f,
7010    -0.733697438f, -0.679476320f,
7011    -0.732654272f, -0.680600998f,
7012    -0.731609381f, -0.681724074f,
7013    -0.730562769f, -0.682845546f,
7014    -0.729514438f, -0.683965412f,
7015    -0.728464390f, -0.685083668f,
7016    -0.727412629f, -0.686200312f,
7017    -0.726359155f, -0.687315341f,
7018    -0.725303972f, -0.688428753f,
7019    -0.724247083f, -0.689540545f,
7020    -0.723188489f, -0.690650714f,
7021    -0.722128194f, -0.691759258f,
7022    -0.721066199f, -0.692866175f,
7023    -0.720002508f, -0.693971461f,
7024    -0.718937122f, -0.695075114f,
7025    -0.717870045f, -0.696177131f,
7026    -0.716801279f, -0.697277511f,
7027    -0.715730825f, -0.698376249f,
7028    -0.714658688f, -0.699473345f,
7029    -0.713584869f, -0.700568794f,
7030    -0.712509371f, -0.701662595f,
7031    -0.711432196f, -0.702754744f,
7032    -0.710353347f, -0.703845241f,
7033    -0.709272826f, -0.704934080f,
7034    -0.708190637f, -0.706021261f,
7035    -0.707106781f, -0.707106781f,
7036    -0.706021261f, -0.708190637f,
7037    -0.704934080f, -0.709272826f,
7038    -0.703845241f, -0.710353347f,
7039    -0.702754744f, -0.711432196f,
7040    -0.701662595f, -0.712509371f,
7041    -0.700568794f, -0.713584869f,
7042    -0.699473345f, -0.714658688f,
7043    -0.698376249f, -0.715730825f,
7044    -0.697277511f, -0.716801279f,
7045    -0.696177131f, -0.717870045f,
7046    -0.695075114f, -0.718937122f,
7047    -0.693971461f, -0.720002508f,
7048    -0.692866175f, -0.721066199f,
7049    -0.691759258f, -0.722128194f,
7050    -0.690650714f, -0.723188489f,
7051    -0.689540545f, -0.724247083f,
7052    -0.688428753f, -0.725303972f,
7053    -0.687315341f, -0.726359155f,
7054    -0.686200312f, -0.727412629f,
7055    -0.685083668f, -0.728464390f,
7056    -0.683965412f, -0.729514438f,
7057    -0.682845546f, -0.730562769f,
7058    -0.681724074f, -0.731609381f,
7059    -0.680600998f, -0.732654272f,
7060    -0.679476320f, -0.733697438f,
7061    -0.678350043f, -0.734738878f,
7062    -0.677222170f, -0.735778589f,
7063    -0.676092704f, -0.736816569f,
7064    -0.674961646f, -0.737852815f,
7065    -0.673829000f, -0.738887324f,
7066    -0.672694769f, -0.739920095f,
7067    -0.671558955f, -0.740951125f,
7068    -0.670421560f, -0.741980412f,
7069    -0.669282588f, -0.743007952f,
7070    -0.668142041f, -0.744033744f,
7071    -0.666999922f, -0.745057785f,
7072    -0.665856234f, -0.746080074f,
7073    -0.664710978f, -0.747100606f,
7074    -0.663564159f, -0.748119380f,
7075    -0.662415778f, -0.749136395f,
7076    -0.661265838f, -0.750151646f,
7077    -0.660114342f, -0.751165132f,
7078    -0.658961293f, -0.752176850f,
7079    -0.657806693f, -0.753186799f,
7080    -0.656650546f, -0.754194975f,
7081    -0.655492853f, -0.755201377f,
7082    -0.654333618f, -0.756206001f,
7083    -0.653172843f, -0.757208847f,
7084    -0.652010531f, -0.758209910f,
7085    -0.650846685f, -0.759209189f,
7086    -0.649681307f, -0.760206682f,
7087    -0.648514401f, -0.761202385f,
7088    -0.647345969f, -0.762196298f,
7089    -0.646176013f, -0.763188417f,
7090    -0.645004537f, -0.764178741f,
7091    -0.643831543f, -0.765167266f,
7092    -0.642657034f, -0.766153990f,
7093    -0.641481013f, -0.767138912f,
7094    -0.640303482f, -0.768122029f,
7095    -0.639124445f, -0.769103338f,
7096    -0.637943904f, -0.770082837f,
7097    -0.636761861f, -0.771060524f,
7098    -0.635578320f, -0.772036397f,
7099    -0.634393284f, -0.773010453f,
7100    -0.633206755f, -0.773982691f,
7101    -0.632018736f, -0.774953107f,
7102    -0.630829230f, -0.775921699f,
7103    -0.629638239f, -0.776888466f,
7104    -0.628445767f, -0.777853404f,
7105    -0.627251815f, -0.778816512f,
7106    -0.626056388f, -0.779777788f,
7107    -0.624859488f, -0.780737229f,
7108    -0.623661118f, -0.781694832f,
7109    -0.622461279f, -0.782650596f,
7110    -0.621259977f, -0.783604519f,
7111    -0.620057212f, -0.784556597f,
7112    -0.618852988f, -0.785506830f,
7113    -0.617647308f, -0.786455214f,
7114    -0.616440175f, -0.787401747f,
7115    -0.615231591f, -0.788346428f,
7116    -0.614021559f, -0.789289253f,
7117    -0.612810082f, -0.790230221f,
7118    -0.611597164f, -0.791169330f,
7119    -0.610382806f, -0.792106577f,
7120    -0.609167012f, -0.793041960f,
7121    -0.607949785f, -0.793975478f,
7122    -0.606731127f, -0.794907126f,
7123    -0.605511041f, -0.795836905f,
7124    -0.604289531f, -0.796764810f,
7125    -0.603066599f, -0.797690841f,
7126    -0.601842247f, -0.798614995f,
7127    -0.600616479f, -0.799537269f,
7128    -0.599389298f, -0.800457662f,
7129    -0.598160707f, -0.801376172f,
7130    -0.596930708f, -0.802292796f,
7131    -0.595699304f, -0.803207531f,
7132    -0.594466499f, -0.804120377f,
7133    -0.593232295f, -0.805031331f,
7134    -0.591996695f, -0.805940391f,
7135    -0.590759702f, -0.806847554f,
7136    -0.589521319f, -0.807752818f,
7137    -0.588281548f, -0.808656182f,
7138    -0.587040394f, -0.809557642f,
7139    -0.585797857f, -0.810457198f,
7140    -0.584553943f, -0.811354847f,
7141    -0.583308653f, -0.812250587f,
7142    -0.582061990f, -0.813144415f,
7143    -0.580813958f, -0.814036330f,
7144    -0.579564559f, -0.814926329f,
7145    -0.578313796f, -0.815814411f,
7146    -0.577061673f, -0.816700573f,
7147    -0.575808191f, -0.817584813f,
7148    -0.574553355f, -0.818467130f,
7149    -0.573297167f, -0.819347520f,
7150    -0.572039629f, -0.820225983f,
7151    -0.570780746f, -0.821102515f,
7152    -0.569520519f, -0.821977115f,
7153    -0.568258953f, -0.822849781f,
7154    -0.566996049f, -0.823720511f,
7155    -0.565731811f, -0.824589303f,
7156    -0.564466242f, -0.825456154f,
7157    -0.563199344f, -0.826321063f,
7158    -0.561931121f, -0.827184027f,
7159    -0.560661576f, -0.828045045f,
7160    -0.559390712f, -0.828904115f,
7161    -0.558118531f, -0.829761234f,
7162    -0.556845037f, -0.830616400f,
7163    -0.555570233f, -0.831469612f,
7164    -0.554294121f, -0.832320868f,
7165    -0.553016706f, -0.833170165f,
7166    -0.551737988f, -0.834017501f,
7167    -0.550457973f, -0.834862875f,
7168    -0.549176662f, -0.835706284f,
7169    -0.547894059f, -0.836547727f,
7170    -0.546610167f, -0.837387202f,
7171    -0.545324988f, -0.838224706f,
7172    -0.544038527f, -0.839060237f,
7173    -0.542750785f, -0.839893794f,
7174    -0.541461766f, -0.840725375f,
7175    -0.540171473f, -0.841554977f,
7176    -0.538879909f, -0.842382600f,
7177    -0.537587076f, -0.843208240f,
7178    -0.536292979f, -0.844031895f,
7179    -0.534997620f, -0.844853565f,
7180    -0.533701002f, -0.845673247f,
7181    -0.532403128f, -0.846490939f,
7182    -0.531104001f, -0.847306639f,
7183    -0.529803625f, -0.848120345f,
7184    -0.528502002f, -0.848932055f,
7185    -0.527199135f, -0.849741768f,
7186    -0.525895027f, -0.850549481f,
7187    -0.524589683f, -0.851355193f,
7188    -0.523283103f, -0.852158902f,
7189    -0.521975293f, -0.852960605f,
7190    -0.520666254f, -0.853760301f,
7191    -0.519355990f, -0.854557988f,
7192    -0.518044504f, -0.855353665f,
7193    -0.516731799f, -0.856147328f,
7194    -0.515417878f, -0.856938977f,
7195    -0.514102744f, -0.857728610f,
7196    -0.512786401f, -0.858516224f,
7197    -0.511468850f, -0.859301818f,
7198    -0.510150097f, -0.860085390f,
7199    -0.508830143f, -0.860866939f,
7200    -0.507508991f, -0.861646461f,
7201    -0.506186645f, -0.862423956f,
7202    -0.504863109f, -0.863199422f,
7203    -0.503538384f, -0.863972856f,
7204    -0.502212474f, -0.864744258f,
7205    -0.500885383f, -0.865513624f,
7206    -0.499557113f, -0.866280954f,
7207    -0.498227667f, -0.867046246f,
7208    -0.496897049f, -0.867809497f,
7209    -0.495565262f, -0.868570706f,
7210    -0.494232309f, -0.869329871f,
7211    -0.492898192f, -0.870086991f,
7212    -0.491562916f, -0.870842063f,
7213    -0.490226483f, -0.871595087f,
7214    -0.488888897f, -0.872346059f,
7215    -0.487550160f, -0.873094978f,
7216    -0.486210276f, -0.873841843f,
7217    -0.484869248f, -0.874586652f,
7218    -0.483527079f, -0.875329403f,
7219    -0.482183772f, -0.876070094f,
7220    -0.480839331f, -0.876808724f,
7221    -0.479493758f, -0.877545290f,
7222    -0.478147056f, -0.878279792f,
7223    -0.476799230f, -0.879012226f,
7224    -0.475450282f, -0.879742593f,
7225    -0.474100215f, -0.880470889f,
7226    -0.472749032f, -0.881197113f,
7227    -0.471396737f, -0.881921264f,
7228    -0.470043332f, -0.882643340f,
7229    -0.468688822f, -0.883363339f,
7230    -0.467333209f, -0.884081259f,
7231    -0.465976496f, -0.884797098f,
7232    -0.464618686f, -0.885510856f,
7233    -0.463259784f, -0.886222530f,
7234    -0.461899791f, -0.886932119f,
7235    -0.460538711f, -0.887639620f,
7236    -0.459176548f, -0.888345033f,
7237    -0.457813304f, -0.889048356f,
7238    -0.456448982f, -0.889749586f,
7239    -0.455083587f, -0.890448723f,
7240    -0.453717121f, -0.891145765f,
7241    -0.452349587f, -0.891840709f,
7242    -0.450980989f, -0.892533555f,
7243    -0.449611330f, -0.893224301f,
7244    -0.448240612f, -0.893912945f,
7245    -0.446868840f, -0.894599486f,
7246    -0.445496017f, -0.895283921f,
7247    -0.444122145f, -0.895966250f,
7248    -0.442747228f, -0.896646470f,
7249    -0.441371269f, -0.897324581f,
7250    -0.439994271f, -0.898000580f,
7251    -0.438616239f, -0.898674466f,
7252    -0.437237174f, -0.899346237f,
7253    -0.435857080f, -0.900015892f,
7254    -0.434475961f, -0.900683429f,
7255    -0.433093819f, -0.901348847f,
7256    -0.431710658f, -0.902012144f,
7257    -0.430326481f, -0.902673318f,
7258    -0.428941292f, -0.903332368f,
7259    -0.427555093f, -0.903989293f,
7260    -0.426167889f, -0.904644091f,
7261    -0.424779681f, -0.905296759f,
7262    -0.423390474f, -0.905947298f,
7263    -0.422000271f, -0.906595705f,
7264    -0.420609074f, -0.907241978f,
7265    -0.419216888f, -0.907886116f,
7266    -0.417823716f, -0.908528119f,
7267    -0.416429560f, -0.909167983f,
7268    -0.415034424f, -0.909805708f,
7269    -0.413638312f, -0.910441292f,
7270    -0.412241227f, -0.911074734f,
7271    -0.410843171f, -0.911706032f,
7272    -0.409444149f, -0.912335185f,
7273    -0.408044163f, -0.912962190f,
7274    -0.406643217f, -0.913587048f,
7275    -0.405241314f, -0.914209756f,
7276    -0.403838458f, -0.914830312f,
7277    -0.402434651f, -0.915448716f,
7278    -0.401029897f, -0.916064966f,
7279    -0.399624200f, -0.916679060f,
7280    -0.398217562f, -0.917290997f,
7281    -0.396809987f, -0.917900776f,
7282    -0.395401479f, -0.918508394f,
7283    -0.393992040f, -0.919113852f,
7284    -0.392581674f, -0.919717146f,
7285    -0.391170384f, -0.920318277f,
7286    -0.389758174f, -0.920917242f,
7287    -0.388345047f, -0.921514039f,
7288    -0.386931006f, -0.922108669f,
7289    -0.385516054f, -0.922701128f,
7290    -0.384100195f, -0.923291417f,
7291    -0.382683432f, -0.923879533f,
7292    -0.381265769f, -0.924465474f,
7293    -0.379847209f, -0.925049241f,
7294    -0.378427755f, -0.925630831f,
7295    -0.377007410f, -0.926210242f,
7296    -0.375586178f, -0.926787474f,
7297    -0.374164063f, -0.927362526f,
7298    -0.372741067f, -0.927935395f,
7299    -0.371317194f, -0.928506080f,
7300    -0.369892447f, -0.929074581f,
7301    -0.368466830f, -0.929640896f,
7302    -0.367040346f, -0.930205023f,
7303    -0.365612998f, -0.930766961f,
7304    -0.364184790f, -0.931326709f,
7305    -0.362755724f, -0.931884266f,
7306    -0.361325806f, -0.932439629f,
7307    -0.359895037f, -0.932992799f,
7308    -0.358463421f, -0.933543773f,
7309    -0.357030961f, -0.934092550f,
7310    -0.355597662f, -0.934639130f,
7311    -0.354163525f, -0.935183510f,
7312    -0.352728556f, -0.935725689f,
7313    -0.351292756f, -0.936265667f,
7314    -0.349856130f, -0.936803442f,
7315    -0.348418680f, -0.937339012f,
7316    -0.346980411f, -0.937872376f,
7317    -0.345541325f, -0.938403534f,
7318    -0.344101426f, -0.938932484f,
7319    -0.342660717f, -0.939459224f,
7320    -0.341219202f, -0.939983753f,
7321    -0.339776884f, -0.940506071f,
7322    -0.338333767f, -0.941026175f,
7323    -0.336889853f, -0.941544065f,
7324    -0.335445147f, -0.942059740f,
7325    -0.333999651f, -0.942573198f,
7326    -0.332553370f, -0.943084437f,
7327    -0.331106306f, -0.943593458f,
7328    -0.329658463f, -0.944100258f,
7329    -0.328209844f, -0.944604837f,
7330    -0.326760452f, -0.945107193f,
7331    -0.325310292f, -0.945607325f,
7332    -0.323859367f, -0.946105232f,
7333    -0.322407679f, -0.946600913f,
7334    -0.320955232f, -0.947094366f,
7335    -0.319502031f, -0.947585591f,
7336    -0.318048077f, -0.948074586f,
7337    -0.316593376f, -0.948561350f,
7338    -0.315137929f, -0.949045882f,
7339    -0.313681740f, -0.949528181f,
7340    -0.312224814f, -0.950008245f,
7341    -0.310767153f, -0.950486074f,
7342    -0.309308760f, -0.950961666f,
7343    -0.307849640f, -0.951435021f,
7344    -0.306389795f, -0.951906137f,
7345    -0.304929230f, -0.952375013f,
7346    -0.303467947f, -0.952841648f,
7347    -0.302005949f, -0.953306040f,
7348    -0.300543241f, -0.953768190f,
7349    -0.299079826f, -0.954228095f,
7350    -0.297615707f, -0.954685755f,
7351    -0.296150888f, -0.955141168f,
7352    -0.294685372f, -0.955594334f,
7353    -0.293219163f, -0.956045251f,
7354    -0.291752263f, -0.956493919f,
7355    -0.290284677f, -0.956940336f,
7356    -0.288816408f, -0.957384501f,
7357    -0.287347460f, -0.957826413f,
7358    -0.285877835f, -0.958266071f,
7359    -0.284407537f, -0.958703475f,
7360    -0.282936570f, -0.959138622f,
7361    -0.281464938f, -0.959571513f,
7362    -0.279992643f, -0.960002146f,
7363    -0.278519689f, -0.960430519f,
7364    -0.277046080f, -0.960856633f,
7365    -0.275571819f, -0.961280486f,
7366    -0.274096910f, -0.961702077f,
7367    -0.272621355f, -0.962121404f,
7368    -0.271145160f, -0.962538468f,
7369    -0.269668326f, -0.962953267f,
7370    -0.268190857f, -0.963365800f,
7371    -0.266712757f, -0.963776066f,
7372    -0.265234030f, -0.964184064f,
7373    -0.263754679f, -0.964589793f,
7374    -0.262274707f, -0.964993253f,
7375    -0.260794118f, -0.965394442f,
7376    -0.259312915f, -0.965793359f,
7377    -0.257831102f, -0.966190003f,
7378    -0.256348682f, -0.966584374f,
7379    -0.254865660f, -0.966976471f,
7380    -0.253382037f, -0.967366292f,
7381    -0.251897818f, -0.967753837f,
7382    -0.250413007f, -0.968139105f,
7383    -0.248927606f, -0.968522094f,
7384    -0.247441619f, -0.968902805f,
7385    -0.245955050f, -0.969281235f,
7386    -0.244467903f, -0.969657385f,
7387    -0.242980180f, -0.970031253f,
7388    -0.241491885f, -0.970402839f,
7389    -0.240003022f, -0.970772141f,
7390    -0.238513595f, -0.971139158f,
7391    -0.237023606f, -0.971503891f,
7392    -0.235533059f, -0.971866337f,
7393    -0.234041959f, -0.972226497f,
7394    -0.232550307f, -0.972584369f,
7395    -0.231058108f, -0.972939952f,
7396    -0.229565366f, -0.973293246f,
7397    -0.228072083f, -0.973644250f,
7398    -0.226578264f, -0.973992962f,
7399    -0.225083911f, -0.974339383f,
7400    -0.223589029f, -0.974683511f,
7401    -0.222093621f, -0.975025345f,
7402    -0.220597690f, -0.975364885f,
7403    -0.219101240f, -0.975702130f,
7404    -0.217604275f, -0.976037079f,
7405    -0.216106797f, -0.976369731f,
7406    -0.214608811f, -0.976700086f,
7407    -0.213110320f, -0.977028143f,
7408    -0.211611327f, -0.977353900f,
7409    -0.210111837f, -0.977677358f,
7410    -0.208611852f, -0.977998515f,
7411    -0.207111376f, -0.978317371f,
7412    -0.205610413f, -0.978633924f,
7413    -0.204108966f, -0.978948175f,
7414    -0.202607039f, -0.979260123f,
7415    -0.201104635f, -0.979569766f,
7416    -0.199601758f, -0.979877104f,
7417    -0.198098411f, -0.980182136f,
7418    -0.196594598f, -0.980484862f,
7419    -0.195090322f, -0.980785280f,
7420    -0.193585587f, -0.981083391f,
7421    -0.192080397f, -0.981379193f,
7422    -0.190574755f, -0.981672686f,
7423    -0.189068664f, -0.981963869f,
7424    -0.187562129f, -0.982252741f,
7425    -0.186055152f, -0.982539302f,
7426    -0.184547737f, -0.982823551f,
7427    -0.183039888f, -0.983105487f,
7428    -0.181531608f, -0.983385110f,
7429    -0.180022901f, -0.983662419f,
7430    -0.178513771f, -0.983937413f,
7431    -0.177004220f, -0.984210092f,
7432    -0.175494253f, -0.984480455f,
7433    -0.173983873f, -0.984748502f,
7434    -0.172473084f, -0.985014231f,
7435    -0.170961889f, -0.985277642f,
7436    -0.169450291f, -0.985538735f,
7437    -0.167938295f, -0.985797509f,
7438    -0.166425904f, -0.986053963f,
7439    -0.164913120f, -0.986308097f,
7440    -0.163399949f, -0.986559910f,
7441    -0.161886394f, -0.986809402f,
7442    -0.160372457f, -0.987056571f,
7443    -0.158858143f, -0.987301418f,
7444    -0.157343456f, -0.987543942f,
7445    -0.155828398f, -0.987784142f,
7446    -0.154312973f, -0.988022017f,
7447    -0.152797185f, -0.988257568f,
7448    -0.151281038f, -0.988490793f,
7449    -0.149764535f, -0.988721692f,
7450    -0.148247679f, -0.988950265f,
7451    -0.146730474f, -0.989176510f,
7452    -0.145212925f, -0.989400428f,
7453    -0.143695033f, -0.989622017f,
7454    -0.142176804f, -0.989841278f,
7455    -0.140658239f, -0.990058210f,
7456    -0.139139344f, -0.990272812f,
7457    -0.137620122f, -0.990485084f,
7458    -0.136100575f, -0.990695025f,
7459    -0.134580709f, -0.990902635f,
7460    -0.133060525f, -0.991107914f,
7461    -0.131540029f, -0.991310860f,
7462    -0.130019223f, -0.991511473f,
7463    -0.128498111f, -0.991709754f,
7464    -0.126976696f, -0.991905700f,
7465    -0.125454983f, -0.992099313f,
7466    -0.123932975f, -0.992290591f,
7467    -0.122410675f, -0.992479535f,
7468    -0.120888087f, -0.992666142f,
7469    -0.119365215f, -0.992850414f,
7470    -0.117842062f, -0.993032350f,
7471    -0.116318631f, -0.993211949f,
7472    -0.114794927f, -0.993389211f,
7473    -0.113270952f, -0.993564136f,
7474    -0.111746711f, -0.993736722f,
7475    -0.110222207f, -0.993906970f,
7476    -0.108697444f, -0.994074879f,
7477    -0.107172425f, -0.994240449f,
7478    -0.105647154f, -0.994403680f,
7479    -0.104121634f, -0.994564571f,
7480    -0.102595869f, -0.994723121f,
7481    -0.101069863f, -0.994879331f,
7482    -0.099543619f, -0.995033199f,
7483    -0.098017140f, -0.995184727f,
7484    -0.096490431f, -0.995333912f,
7485    -0.094963495f, -0.995480755f,
7486    -0.093436336f, -0.995625256f,
7487    -0.091908956f, -0.995767414f,
7488    -0.090381361f, -0.995907229f,
7489    -0.088853553f, -0.996044701f,
7490    -0.087325535f, -0.996179829f,
7491    -0.085797312f, -0.996312612f,
7492    -0.084268888f, -0.996443051f,
7493    -0.082740265f, -0.996571146f,
7494    -0.081211447f, -0.996696895f,
7495    -0.079682438f, -0.996820299f,
7496    -0.078153242f, -0.996941358f,
7497    -0.076623861f, -0.997060070f,
7498    -0.075094301f, -0.997176437f,
7499    -0.073564564f, -0.997290457f,
7500    -0.072034653f, -0.997402130f,
7501    -0.070504573f, -0.997511456f,
7502    -0.068974328f, -0.997618435f,
7503    -0.067443920f, -0.997723067f,
7504    -0.065913353f, -0.997825350f,
7505    -0.064382631f, -0.997925286f,
7506    -0.062851758f, -0.998022874f,
7507    -0.061320736f, -0.998118113f,
7508    -0.059789571f, -0.998211003f,
7509    -0.058258265f, -0.998301545f,
7510    -0.056726821f, -0.998389737f,
7511    -0.055195244f, -0.998475581f,
7512    -0.053663538f, -0.998559074f,
7513    -0.052131705f, -0.998640218f,
7514    -0.050599749f, -0.998719012f,
7515    -0.049067674f, -0.998795456f,
7516    -0.047535484f, -0.998869550f,
7517    -0.046003182f, -0.998941293f,
7518    -0.044470772f, -0.999010686f,
7519    -0.042938257f, -0.999077728f,
7520    -0.041405641f, -0.999142419f,
7521    -0.039872928f, -0.999204759f,
7522    -0.038340120f, -0.999264747f,
7523    -0.036807223f, -0.999322385f,
7524    -0.035274239f, -0.999377670f,
7525    -0.033741172f, -0.999430605f,
7526    -0.032208025f, -0.999481187f,
7527    -0.030674803f, -0.999529418f,
7528    -0.029141509f, -0.999575296f,
7529    -0.027608146f, -0.999618822f,
7530    -0.026074718f, -0.999659997f,
7531    -0.024541229f, -0.999698819f,
7532    -0.023007681f, -0.999735288f,
7533    -0.021474080f, -0.999769405f,
7534    -0.019940429f, -0.999801170f,
7535    -0.018406730f, -0.999830582f,
7536    -0.016872988f, -0.999857641f,
7537    -0.015339206f, -0.999882347f,
7538    -0.013805389f, -0.999904701f,
7539    -0.012271538f, -0.999924702f,
7540    -0.010737659f, -0.999942350f,
7541    -0.009203755f, -0.999957645f,
7542    -0.007669829f, -0.999970586f,
7543    -0.006135885f, -0.999981175f,
7544    -0.004601926f, -0.999989411f,
7545    -0.003067957f, -0.999995294f,
7546    -0.001533980f, -0.999998823f,
7547    -0.000000000f, -1.000000000f,
7548     0.001533980f, -0.999998823f,
7549     0.003067957f, -0.999995294f,
7550     0.004601926f, -0.999989411f,
7551     0.006135885f, -0.999981175f,
7552     0.007669829f, -0.999970586f,
7553     0.009203755f, -0.999957645f,
7554     0.010737659f, -0.999942350f,
7555     0.012271538f, -0.999924702f,
7556     0.013805389f, -0.999904701f,
7557     0.015339206f, -0.999882347f,
7558     0.016872988f, -0.999857641f,
7559     0.018406730f, -0.999830582f,
7560     0.019940429f, -0.999801170f,
7561     0.021474080f, -0.999769405f,
7562     0.023007681f, -0.999735288f,
7563     0.024541229f, -0.999698819f,
7564     0.026074718f, -0.999659997f,
7565     0.027608146f, -0.999618822f,
7566     0.029141509f, -0.999575296f,
7567     0.030674803f, -0.999529418f,
7568     0.032208025f, -0.999481187f,
7569     0.033741172f, -0.999430605f,
7570     0.035274239f, -0.999377670f,
7571     0.036807223f, -0.999322385f,
7572     0.038340120f, -0.999264747f,
7573     0.039872928f, -0.999204759f,
7574     0.041405641f, -0.999142419f,
7575     0.042938257f, -0.999077728f,
7576     0.044470772f, -0.999010686f,
7577     0.046003182f, -0.998941293f,
7578     0.047535484f, -0.998869550f,
7579     0.049067674f, -0.998795456f,
7580     0.050599749f, -0.998719012f,
7581     0.052131705f, -0.998640218f,
7582     0.053663538f, -0.998559074f,
7583     0.055195244f, -0.998475581f,
7584     0.056726821f, -0.998389737f,
7585     0.058258265f, -0.998301545f,
7586     0.059789571f, -0.998211003f,
7587     0.061320736f, -0.998118113f,
7588     0.062851758f, -0.998022874f,
7589     0.064382631f, -0.997925286f,
7590     0.065913353f, -0.997825350f,
7591     0.067443920f, -0.997723067f,
7592     0.068974328f, -0.997618435f,
7593     0.070504573f, -0.997511456f,
7594     0.072034653f, -0.997402130f,
7595     0.073564564f, -0.997290457f,
7596     0.075094301f, -0.997176437f,
7597     0.076623861f, -0.997060070f,
7598     0.078153242f, -0.996941358f,
7599     0.079682438f, -0.996820299f,
7600     0.081211447f, -0.996696895f,
7601     0.082740265f, -0.996571146f,
7602     0.084268888f, -0.996443051f,
7603     0.085797312f, -0.996312612f,
7604     0.087325535f, -0.996179829f,
7605     0.088853553f, -0.996044701f,
7606     0.090381361f, -0.995907229f,
7607     0.091908956f, -0.995767414f,
7608     0.093436336f, -0.995625256f,
7609     0.094963495f, -0.995480755f,
7610     0.096490431f, -0.995333912f,
7611     0.098017140f, -0.995184727f,
7612     0.099543619f, -0.995033199f,
7613     0.101069863f, -0.994879331f,
7614     0.102595869f, -0.994723121f,
7615     0.104121634f, -0.994564571f,
7616     0.105647154f, -0.994403680f,
7617     0.107172425f, -0.994240449f,
7618     0.108697444f, -0.994074879f,
7619     0.110222207f, -0.993906970f,
7620     0.111746711f, -0.993736722f,
7621     0.113270952f, -0.993564136f,
7622     0.114794927f, -0.993389211f,
7623     0.116318631f, -0.993211949f,
7624     0.117842062f, -0.993032350f,
7625     0.119365215f, -0.992850414f,
7626     0.120888087f, -0.992666142f,
7627     0.122410675f, -0.992479535f,
7628     0.123932975f, -0.992290591f,
7629     0.125454983f, -0.992099313f,
7630     0.126976696f, -0.991905700f,
7631     0.128498111f, -0.991709754f,
7632     0.130019223f, -0.991511473f,
7633     0.131540029f, -0.991310860f,
7634     0.133060525f, -0.991107914f,
7635     0.134580709f, -0.990902635f,
7636     0.136100575f, -0.990695025f,
7637     0.137620122f, -0.990485084f,
7638     0.139139344f, -0.990272812f,
7639     0.140658239f, -0.990058210f,
7640     0.142176804f, -0.989841278f,
7641     0.143695033f, -0.989622017f,
7642     0.145212925f, -0.989400428f,
7643     0.146730474f, -0.989176510f,
7644     0.148247679f, -0.988950265f,
7645     0.149764535f, -0.988721692f,
7646     0.151281038f, -0.988490793f,
7647     0.152797185f, -0.988257568f,
7648     0.154312973f, -0.988022017f,
7649     0.155828398f, -0.987784142f,
7650     0.157343456f, -0.987543942f,
7651     0.158858143f, -0.987301418f,
7652     0.160372457f, -0.987056571f,
7653     0.161886394f, -0.986809402f,
7654     0.163399949f, -0.986559910f,
7655     0.164913120f, -0.986308097f,
7656     0.166425904f, -0.986053963f,
7657     0.167938295f, -0.985797509f,
7658     0.169450291f, -0.985538735f,
7659     0.170961889f, -0.985277642f,
7660     0.172473084f, -0.985014231f,
7661     0.173983873f, -0.984748502f,
7662     0.175494253f, -0.984480455f,
7663     0.177004220f, -0.984210092f,
7664     0.178513771f, -0.983937413f,
7665     0.180022901f, -0.983662419f,
7666     0.181531608f, -0.983385110f,
7667     0.183039888f, -0.983105487f,
7668     0.184547737f, -0.982823551f,
7669     0.186055152f, -0.982539302f,
7670     0.187562129f, -0.982252741f,
7671     0.189068664f, -0.981963869f,
7672     0.190574755f, -0.981672686f,
7673     0.192080397f, -0.981379193f,
7674     0.193585587f, -0.981083391f,
7675     0.195090322f, -0.980785280f,
7676     0.196594598f, -0.980484862f,
7677     0.198098411f, -0.980182136f,
7678     0.199601758f, -0.979877104f,
7679     0.201104635f, -0.979569766f,
7680     0.202607039f, -0.979260123f,
7681     0.204108966f, -0.978948175f,
7682     0.205610413f, -0.978633924f,
7683     0.207111376f, -0.978317371f,
7684     0.208611852f, -0.977998515f,
7685     0.210111837f, -0.977677358f,
7686     0.211611327f, -0.977353900f,
7687     0.213110320f, -0.977028143f,
7688     0.214608811f, -0.976700086f,
7689     0.216106797f, -0.976369731f,
7690     0.217604275f, -0.976037079f,
7691     0.219101240f, -0.975702130f,
7692     0.220597690f, -0.975364885f,
7693     0.222093621f, -0.975025345f,
7694     0.223589029f, -0.974683511f,
7695     0.225083911f, -0.974339383f,
7696     0.226578264f, -0.973992962f,
7697     0.228072083f, -0.973644250f,
7698     0.229565366f, -0.973293246f,
7699     0.231058108f, -0.972939952f,
7700     0.232550307f, -0.972584369f,
7701     0.234041959f, -0.972226497f,
7702     0.235533059f, -0.971866337f,
7703     0.237023606f, -0.971503891f,
7704     0.238513595f, -0.971139158f,
7705     0.240003022f, -0.970772141f,
7706     0.241491885f, -0.970402839f,
7707     0.242980180f, -0.970031253f,
7708     0.244467903f, -0.969657385f,
7709     0.245955050f, -0.969281235f,
7710     0.247441619f, -0.968902805f,
7711     0.248927606f, -0.968522094f,
7712     0.250413007f, -0.968139105f,
7713     0.251897818f, -0.967753837f,
7714     0.253382037f, -0.967366292f,
7715     0.254865660f, -0.966976471f,
7716     0.256348682f, -0.966584374f,
7717     0.257831102f, -0.966190003f,
7718     0.259312915f, -0.965793359f,
7719     0.260794118f, -0.965394442f,
7720     0.262274707f, -0.964993253f,
7721     0.263754679f, -0.964589793f,
7722     0.265234030f, -0.964184064f,
7723     0.266712757f, -0.963776066f,
7724     0.268190857f, -0.963365800f,
7725     0.269668326f, -0.962953267f,
7726     0.271145160f, -0.962538468f,
7727     0.272621355f, -0.962121404f,
7728     0.274096910f, -0.961702077f,
7729     0.275571819f, -0.961280486f,
7730     0.277046080f, -0.960856633f,
7731     0.278519689f, -0.960430519f,
7732     0.279992643f, -0.960002146f,
7733     0.281464938f, -0.959571513f,
7734     0.282936570f, -0.959138622f,
7735     0.284407537f, -0.958703475f,
7736     0.285877835f, -0.958266071f,
7737     0.287347460f, -0.957826413f,
7738     0.288816408f, -0.957384501f,
7739     0.290284677f, -0.956940336f,
7740     0.291752263f, -0.956493919f,
7741     0.293219163f, -0.956045251f,
7742     0.294685372f, -0.955594334f,
7743     0.296150888f, -0.955141168f,
7744     0.297615707f, -0.954685755f,
7745     0.299079826f, -0.954228095f,
7746     0.300543241f, -0.953768190f,
7747     0.302005949f, -0.953306040f,
7748     0.303467947f, -0.952841648f,
7749     0.304929230f, -0.952375013f,
7750     0.306389795f, -0.951906137f,
7751     0.307849640f, -0.951435021f,
7752     0.309308760f, -0.950961666f,
7753     0.310767153f, -0.950486074f,
7754     0.312224814f, -0.950008245f,
7755     0.313681740f, -0.949528181f,
7756     0.315137929f, -0.949045882f,
7757     0.316593376f, -0.948561350f,
7758     0.318048077f, -0.948074586f,
7759     0.319502031f, -0.947585591f,
7760     0.320955232f, -0.947094366f,
7761     0.322407679f, -0.946600913f,
7762     0.323859367f, -0.946105232f,
7763     0.325310292f, -0.945607325f,
7764     0.326760452f, -0.945107193f,
7765     0.328209844f, -0.944604837f,
7766     0.329658463f, -0.944100258f,
7767     0.331106306f, -0.943593458f,
7768     0.332553370f, -0.943084437f,
7769     0.333999651f, -0.942573198f,
7770     0.335445147f, -0.942059740f,
7771     0.336889853f, -0.941544065f,
7772     0.338333767f, -0.941026175f,
7773     0.339776884f, -0.940506071f,
7774     0.341219202f, -0.939983753f,
7775     0.342660717f, -0.939459224f,
7776     0.344101426f, -0.938932484f,
7777     0.345541325f, -0.938403534f,
7778     0.346980411f, -0.937872376f,
7779     0.348418680f, -0.937339012f,
7780     0.349856130f, -0.936803442f,
7781     0.351292756f, -0.936265667f,
7782     0.352728556f, -0.935725689f,
7783     0.354163525f, -0.935183510f,
7784     0.355597662f, -0.934639130f,
7785     0.357030961f, -0.934092550f,
7786     0.358463421f, -0.933543773f,
7787     0.359895037f, -0.932992799f,
7788     0.361325806f, -0.932439629f,
7789     0.362755724f, -0.931884266f,
7790     0.364184790f, -0.931326709f,
7791     0.365612998f, -0.930766961f,
7792     0.367040346f, -0.930205023f,
7793     0.368466830f, -0.929640896f,
7794     0.369892447f, -0.929074581f,
7795     0.371317194f, -0.928506080f,
7796     0.372741067f, -0.927935395f,
7797     0.374164063f, -0.927362526f,
7798     0.375586178f, -0.926787474f,
7799     0.377007410f, -0.926210242f,
7800     0.378427755f, -0.925630831f,
7801     0.379847209f, -0.925049241f,
7802     0.381265769f, -0.924465474f,
7803     0.382683432f, -0.923879533f,
7804     0.384100195f, -0.923291417f,
7805     0.385516054f, -0.922701128f,
7806     0.386931006f, -0.922108669f,
7807     0.388345047f, -0.921514039f,
7808     0.389758174f, -0.920917242f,
7809     0.391170384f, -0.920318277f,
7810     0.392581674f, -0.919717146f,
7811     0.393992040f, -0.919113852f,
7812     0.395401479f, -0.918508394f,
7813     0.396809987f, -0.917900776f,
7814     0.398217562f, -0.917290997f,
7815     0.399624200f, -0.916679060f,
7816     0.401029897f, -0.916064966f,
7817     0.402434651f, -0.915448716f,
7818     0.403838458f, -0.914830312f,
7819     0.405241314f, -0.914209756f,
7820     0.406643217f, -0.913587048f,
7821     0.408044163f, -0.912962190f,
7822     0.409444149f, -0.912335185f,
7823     0.410843171f, -0.911706032f,
7824     0.412241227f, -0.911074734f,
7825     0.413638312f, -0.910441292f,
7826     0.415034424f, -0.909805708f,
7827     0.416429560f, -0.909167983f,
7828     0.417823716f, -0.908528119f,
7829     0.419216888f, -0.907886116f,
7830     0.420609074f, -0.907241978f,
7831     0.422000271f, -0.906595705f,
7832     0.423390474f, -0.905947298f,
7833     0.424779681f, -0.905296759f,
7834     0.426167889f, -0.904644091f,
7835     0.427555093f, -0.903989293f,
7836     0.428941292f, -0.903332368f,
7837     0.430326481f, -0.902673318f,
7838     0.431710658f, -0.902012144f,
7839     0.433093819f, -0.901348847f,
7840     0.434475961f, -0.900683429f,
7841     0.435857080f, -0.900015892f,
7842     0.437237174f, -0.899346237f,
7843     0.438616239f, -0.898674466f,
7844     0.439994271f, -0.898000580f,
7845     0.441371269f, -0.897324581f,
7846     0.442747228f, -0.896646470f,
7847     0.444122145f, -0.895966250f,
7848     0.445496017f, -0.895283921f,
7849     0.446868840f, -0.894599486f,
7850     0.448240612f, -0.893912945f,
7851     0.449611330f, -0.893224301f,
7852     0.450980989f, -0.892533555f,
7853     0.452349587f, -0.891840709f,
7854     0.453717121f, -0.891145765f,
7855     0.455083587f, -0.890448723f,
7856     0.456448982f, -0.889749586f,
7857     0.457813304f, -0.889048356f,
7858     0.459176548f, -0.888345033f,
7859     0.460538711f, -0.887639620f,
7860     0.461899791f, -0.886932119f,
7861     0.463259784f, -0.886222530f,
7862     0.464618686f, -0.885510856f,
7863     0.465976496f, -0.884797098f,
7864     0.467333209f, -0.884081259f,
7865     0.468688822f, -0.883363339f,
7866     0.470043332f, -0.882643340f,
7867     0.471396737f, -0.881921264f,
7868     0.472749032f, -0.881197113f,
7869     0.474100215f, -0.880470889f,
7870     0.475450282f, -0.879742593f,
7871     0.476799230f, -0.879012226f,
7872     0.478147056f, -0.878279792f,
7873     0.479493758f, -0.877545290f,
7874     0.480839331f, -0.876808724f,
7875     0.482183772f, -0.876070094f,
7876     0.483527079f, -0.875329403f,
7877     0.484869248f, -0.874586652f,
7878     0.486210276f, -0.873841843f,
7879     0.487550160f, -0.873094978f,
7880     0.488888897f, -0.872346059f,
7881     0.490226483f, -0.871595087f,
7882     0.491562916f, -0.870842063f,
7883     0.492898192f, -0.870086991f,
7884     0.494232309f, -0.869329871f,
7885     0.495565262f, -0.868570706f,
7886     0.496897049f, -0.867809497f,
7887     0.498227667f, -0.867046246f,
7888     0.499557113f, -0.866280954f,
7889     0.500885383f, -0.865513624f,
7890     0.502212474f, -0.864744258f,
7891     0.503538384f, -0.863972856f,
7892     0.504863109f, -0.863199422f,
7893     0.506186645f, -0.862423956f,
7894     0.507508991f, -0.861646461f,
7895     0.508830143f, -0.860866939f,
7896     0.510150097f, -0.860085390f,
7897     0.511468850f, -0.859301818f,
7898     0.512786401f, -0.858516224f,
7899     0.514102744f, -0.857728610f,
7900     0.515417878f, -0.856938977f,
7901     0.516731799f, -0.856147328f,
7902     0.518044504f, -0.855353665f,
7903     0.519355990f, -0.854557988f,
7904     0.520666254f, -0.853760301f,
7905     0.521975293f, -0.852960605f,
7906     0.523283103f, -0.852158902f,
7907     0.524589683f, -0.851355193f,
7908     0.525895027f, -0.850549481f,
7909     0.527199135f, -0.849741768f,
7910     0.528502002f, -0.848932055f,
7911     0.529803625f, -0.848120345f,
7912     0.531104001f, -0.847306639f,
7913     0.532403128f, -0.846490939f,
7914     0.533701002f, -0.845673247f,
7915     0.534997620f, -0.844853565f,
7916     0.536292979f, -0.844031895f,
7917     0.537587076f, -0.843208240f,
7918     0.538879909f, -0.842382600f,
7919     0.540171473f, -0.841554977f,
7920     0.541461766f, -0.840725375f,
7921     0.542750785f, -0.839893794f,
7922     0.544038527f, -0.839060237f,
7923     0.545324988f, -0.838224706f,
7924     0.546610167f, -0.837387202f,
7925     0.547894059f, -0.836547727f,
7926     0.549176662f, -0.835706284f,
7927     0.550457973f, -0.834862875f,
7928     0.551737988f, -0.834017501f,
7929     0.553016706f, -0.833170165f,
7930     0.554294121f, -0.832320868f,
7931     0.555570233f, -0.831469612f,
7932     0.556845037f, -0.830616400f,
7933     0.558118531f, -0.829761234f,
7934     0.559390712f, -0.828904115f,
7935     0.560661576f, -0.828045045f,
7936     0.561931121f, -0.827184027f,
7937     0.563199344f, -0.826321063f,
7938     0.564466242f, -0.825456154f,
7939     0.565731811f, -0.824589303f,
7940     0.566996049f, -0.823720511f,
7941     0.568258953f, -0.822849781f,
7942     0.569520519f, -0.821977115f,
7943     0.570780746f, -0.821102515f,
7944     0.572039629f, -0.820225983f,
7945     0.573297167f, -0.819347520f,
7946     0.574553355f, -0.818467130f,
7947     0.575808191f, -0.817584813f,
7948     0.577061673f, -0.816700573f,
7949     0.578313796f, -0.815814411f,
7950     0.579564559f, -0.814926329f,
7951     0.580813958f, -0.814036330f,
7952     0.582061990f, -0.813144415f,
7953     0.583308653f, -0.812250587f,
7954     0.584553943f, -0.811354847f,
7955     0.585797857f, -0.810457198f,
7956     0.587040394f, -0.809557642f,
7957     0.588281548f, -0.808656182f,
7958     0.589521319f, -0.807752818f,
7959     0.590759702f, -0.806847554f,
7960     0.591996695f, -0.805940391f,
7961     0.593232295f, -0.805031331f,
7962     0.594466499f, -0.804120377f,
7963     0.595699304f, -0.803207531f,
7964     0.596930708f, -0.802292796f,
7965     0.598160707f, -0.801376172f,
7966     0.599389298f, -0.800457662f,
7967     0.600616479f, -0.799537269f,
7968     0.601842247f, -0.798614995f,
7969     0.603066599f, -0.797690841f,
7970     0.604289531f, -0.796764810f,
7971     0.605511041f, -0.795836905f,
7972     0.606731127f, -0.794907126f,
7973     0.607949785f, -0.793975478f,
7974     0.609167012f, -0.793041960f,
7975     0.610382806f, -0.792106577f,
7976     0.611597164f, -0.791169330f,
7977     0.612810082f, -0.790230221f,
7978     0.614021559f, -0.789289253f,
7979     0.615231591f, -0.788346428f,
7980     0.616440175f, -0.787401747f,
7981     0.617647308f, -0.786455214f,
7982     0.618852988f, -0.785506830f,
7983     0.620057212f, -0.784556597f,
7984     0.621259977f, -0.783604519f,
7985     0.622461279f, -0.782650596f,
7986     0.623661118f, -0.781694832f,
7987     0.624859488f, -0.780737229f,
7988     0.626056388f, -0.779777788f,
7989     0.627251815f, -0.778816512f,
7990     0.628445767f, -0.777853404f,
7991     0.629638239f, -0.776888466f,
7992     0.630829230f, -0.775921699f,
7993     0.632018736f, -0.774953107f,
7994     0.633206755f, -0.773982691f,
7995     0.634393284f, -0.773010453f,
7996     0.635578320f, -0.772036397f,
7997     0.636761861f, -0.771060524f,
7998     0.637943904f, -0.770082837f,
7999     0.639124445f, -0.769103338f,
8000     0.640303482f, -0.768122029f,
8001     0.641481013f, -0.767138912f,
8002     0.642657034f, -0.766153990f,
8003     0.643831543f, -0.765167266f,
8004     0.645004537f, -0.764178741f,
8005     0.646176013f, -0.763188417f,
8006     0.647345969f, -0.762196298f,
8007     0.648514401f, -0.761202385f,
8008     0.649681307f, -0.760206682f,
8009     0.650846685f, -0.759209189f,
8010     0.652010531f, -0.758209910f,
8011     0.653172843f, -0.757208847f,
8012     0.654333618f, -0.756206001f,
8013     0.655492853f, -0.755201377f,
8014     0.656650546f, -0.754194975f,
8015     0.657806693f, -0.753186799f,
8016     0.658961293f, -0.752176850f,
8017     0.660114342f, -0.751165132f,
8018     0.661265838f, -0.750151646f,
8019     0.662415778f, -0.749136395f,
8020     0.663564159f, -0.748119380f,
8021     0.664710978f, -0.747100606f,
8022     0.665856234f, -0.746080074f,
8023     0.666999922f, -0.745057785f,
8024     0.668142041f, -0.744033744f,
8025     0.669282588f, -0.743007952f,
8026     0.670421560f, -0.741980412f,
8027     0.671558955f, -0.740951125f,
8028     0.672694769f, -0.739920095f,
8029     0.673829000f, -0.738887324f,
8030     0.674961646f, -0.737852815f,
8031     0.676092704f, -0.736816569f,
8032     0.677222170f, -0.735778589f,
8033     0.678350043f, -0.734738878f,
8034     0.679476320f, -0.733697438f,
8035     0.680600998f, -0.732654272f,
8036     0.681724074f, -0.731609381f,
8037     0.682845546f, -0.730562769f,
8038     0.683965412f, -0.729514438f,
8039     0.685083668f, -0.728464390f,
8040     0.686200312f, -0.727412629f,
8041     0.687315341f, -0.726359155f,
8042     0.688428753f, -0.725303972f,
8043     0.689540545f, -0.724247083f,
8044     0.690650714f, -0.723188489f,
8045     0.691759258f, -0.722128194f,
8046     0.692866175f, -0.721066199f,
8047     0.693971461f, -0.720002508f,
8048     0.695075114f, -0.718937122f,
8049     0.696177131f, -0.717870045f,
8050     0.697277511f, -0.716801279f,
8051     0.698376249f, -0.715730825f,
8052     0.699473345f, -0.714658688f,
8053     0.700568794f, -0.713584869f,
8054     0.701662595f, -0.712509371f,
8055     0.702754744f, -0.711432196f,
8056     0.703845241f, -0.710353347f,
8057     0.704934080f, -0.709272826f,
8058     0.706021261f, -0.708190637f,
8059     0.707106781f, -0.707106781f,
8060     0.708190637f, -0.706021261f,
8061     0.709272826f, -0.704934080f,
8062     0.710353347f, -0.703845241f,
8063     0.711432196f, -0.702754744f,
8064     0.712509371f, -0.701662595f,
8065     0.713584869f, -0.700568794f,
8066     0.714658688f, -0.699473345f,
8067     0.715730825f, -0.698376249f,
8068     0.716801279f, -0.697277511f,
8069     0.717870045f, -0.696177131f,
8070     0.718937122f, -0.695075114f,
8071     0.720002508f, -0.693971461f,
8072     0.721066199f, -0.692866175f,
8073     0.722128194f, -0.691759258f,
8074     0.723188489f, -0.690650714f,
8075     0.724247083f, -0.689540545f,
8076     0.725303972f, -0.688428753f,
8077     0.726359155f, -0.687315341f,
8078     0.727412629f, -0.686200312f,
8079     0.728464390f, -0.685083668f,
8080     0.729514438f, -0.683965412f,
8081     0.730562769f, -0.682845546f,
8082     0.731609381f, -0.681724074f,
8083     0.732654272f, -0.680600998f,
8084     0.733697438f, -0.679476320f,
8085     0.734738878f, -0.678350043f,
8086     0.735778589f, -0.677222170f,
8087     0.736816569f, -0.676092704f,
8088     0.737852815f, -0.674961646f,
8089     0.738887324f, -0.673829000f,
8090     0.739920095f, -0.672694769f,
8091     0.740951125f, -0.671558955f,
8092     0.741980412f, -0.670421560f,
8093     0.743007952f, -0.669282588f,
8094     0.744033744f, -0.668142041f,
8095     0.745057785f, -0.666999922f,
8096     0.746080074f, -0.665856234f,
8097     0.747100606f, -0.664710978f,
8098     0.748119380f, -0.663564159f,
8099     0.749136395f, -0.662415778f,
8100     0.750151646f, -0.661265838f,
8101     0.751165132f, -0.660114342f,
8102     0.752176850f, -0.658961293f,
8103     0.753186799f, -0.657806693f,
8104     0.754194975f, -0.656650546f,
8105     0.755201377f, -0.655492853f,
8106     0.756206001f, -0.654333618f,
8107     0.757208847f, -0.653172843f,
8108     0.758209910f, -0.652010531f,
8109     0.759209189f, -0.650846685f,
8110     0.760206682f, -0.649681307f,
8111     0.761202385f, -0.648514401f,
8112     0.762196298f, -0.647345969f,
8113     0.763188417f, -0.646176013f,
8114     0.764178741f, -0.645004537f,
8115     0.765167266f, -0.643831543f,
8116     0.766153990f, -0.642657034f,
8117     0.767138912f, -0.641481013f,
8118     0.768122029f, -0.640303482f,
8119     0.769103338f, -0.639124445f,
8120     0.770082837f, -0.637943904f,
8121     0.771060524f, -0.636761861f,
8122     0.772036397f, -0.635578320f,
8123     0.773010453f, -0.634393284f,
8124     0.773982691f, -0.633206755f,
8125     0.774953107f, -0.632018736f,
8126     0.775921699f, -0.630829230f,
8127     0.776888466f, -0.629638239f,
8128     0.777853404f, -0.628445767f,
8129     0.778816512f, -0.627251815f,
8130     0.779777788f, -0.626056388f,
8131     0.780737229f, -0.624859488f,
8132     0.781694832f, -0.623661118f,
8133     0.782650596f, -0.622461279f,
8134     0.783604519f, -0.621259977f,
8135     0.784556597f, -0.620057212f,
8136     0.785506830f, -0.618852988f,
8137     0.786455214f, -0.617647308f,
8138     0.787401747f, -0.616440175f,
8139     0.788346428f, -0.615231591f,
8140     0.789289253f, -0.614021559f,
8141     0.790230221f, -0.612810082f,
8142     0.791169330f, -0.611597164f,
8143     0.792106577f, -0.610382806f,
8144     0.793041960f, -0.609167012f,
8145     0.793975478f, -0.607949785f,
8146     0.794907126f, -0.606731127f,
8147     0.795836905f, -0.605511041f,
8148     0.796764810f, -0.604289531f,
8149     0.797690841f, -0.603066599f,
8150     0.798614995f, -0.601842247f,
8151     0.799537269f, -0.600616479f,
8152     0.800457662f, -0.599389298f,
8153     0.801376172f, -0.598160707f,
8154     0.802292796f, -0.596930708f,
8155     0.803207531f, -0.595699304f,
8156     0.804120377f, -0.594466499f,
8157     0.805031331f, -0.593232295f,
8158     0.805940391f, -0.591996695f,
8159     0.806847554f, -0.590759702f,
8160     0.807752818f, -0.589521319f,
8161     0.808656182f, -0.588281548f,
8162     0.809557642f, -0.587040394f,
8163     0.810457198f, -0.585797857f,
8164     0.811354847f, -0.584553943f,
8165     0.812250587f, -0.583308653f,
8166     0.813144415f, -0.582061990f,
8167     0.814036330f, -0.580813958f,
8168     0.814926329f, -0.579564559f,
8169     0.815814411f, -0.578313796f,
8170     0.816700573f, -0.577061673f,
8171     0.817584813f, -0.575808191f,
8172     0.818467130f, -0.574553355f,
8173     0.819347520f, -0.573297167f,
8174     0.820225983f, -0.572039629f,
8175     0.821102515f, -0.570780746f,
8176     0.821977115f, -0.569520519f,
8177     0.822849781f, -0.568258953f,
8178     0.823720511f, -0.566996049f,
8179     0.824589303f, -0.565731811f,
8180     0.825456154f, -0.564466242f,
8181     0.826321063f, -0.563199344f,
8182     0.827184027f, -0.561931121f,
8183     0.828045045f, -0.560661576f,
8184     0.828904115f, -0.559390712f,
8185     0.829761234f, -0.558118531f,
8186     0.830616400f, -0.556845037f,
8187     0.831469612f, -0.555570233f,
8188     0.832320868f, -0.554294121f,
8189     0.833170165f, -0.553016706f,
8190     0.834017501f, -0.551737988f,
8191     0.834862875f, -0.550457973f,
8192     0.835706284f, -0.549176662f,
8193     0.836547727f, -0.547894059f,
8194     0.837387202f, -0.546610167f,
8195     0.838224706f, -0.545324988f,
8196     0.839060237f, -0.544038527f,
8197     0.839893794f, -0.542750785f,
8198     0.840725375f, -0.541461766f,
8199     0.841554977f, -0.540171473f,
8200     0.842382600f, -0.538879909f,
8201     0.843208240f, -0.537587076f,
8202     0.844031895f, -0.536292979f,
8203     0.844853565f, -0.534997620f,
8204     0.845673247f, -0.533701002f,
8205     0.846490939f, -0.532403128f,
8206     0.847306639f, -0.531104001f,
8207     0.848120345f, -0.529803625f,
8208     0.848932055f, -0.528502002f,
8209     0.849741768f, -0.527199135f,
8210     0.850549481f, -0.525895027f,
8211     0.851355193f, -0.524589683f,
8212     0.852158902f, -0.523283103f,
8213     0.852960605f, -0.521975293f,
8214     0.853760301f, -0.520666254f,
8215     0.854557988f, -0.519355990f,
8216     0.855353665f, -0.518044504f,
8217     0.856147328f, -0.516731799f,
8218     0.856938977f, -0.515417878f,
8219     0.857728610f, -0.514102744f,
8220     0.858516224f, -0.512786401f,
8221     0.859301818f, -0.511468850f,
8222     0.860085390f, -0.510150097f,
8223     0.860866939f, -0.508830143f,
8224     0.861646461f, -0.507508991f,
8225     0.862423956f, -0.506186645f,
8226     0.863199422f, -0.504863109f,
8227     0.863972856f, -0.503538384f,
8228     0.864744258f, -0.502212474f,
8229     0.865513624f, -0.500885383f,
8230     0.866280954f, -0.499557113f,
8231     0.867046246f, -0.498227667f,
8232     0.867809497f, -0.496897049f,
8233     0.868570706f, -0.495565262f,
8234     0.869329871f, -0.494232309f,
8235     0.870086991f, -0.492898192f,
8236     0.870842063f, -0.491562916f,
8237     0.871595087f, -0.490226483f,
8238     0.872346059f, -0.488888897f,
8239     0.873094978f, -0.487550160f,
8240     0.873841843f, -0.486210276f,
8241     0.874586652f, -0.484869248f,
8242     0.875329403f, -0.483527079f,
8243     0.876070094f, -0.482183772f,
8244     0.876808724f, -0.480839331f,
8245     0.877545290f, -0.479493758f,
8246     0.878279792f, -0.478147056f,
8247     0.879012226f, -0.476799230f,
8248     0.879742593f, -0.475450282f,
8249     0.880470889f, -0.474100215f,
8250     0.881197113f, -0.472749032f,
8251     0.881921264f, -0.471396737f,
8252     0.882643340f, -0.470043332f,
8253     0.883363339f, -0.468688822f,
8254     0.884081259f, -0.467333209f,
8255     0.884797098f, -0.465976496f,
8256     0.885510856f, -0.464618686f,
8257     0.886222530f, -0.463259784f,
8258     0.886932119f, -0.461899791f,
8259     0.887639620f, -0.460538711f,
8260     0.888345033f, -0.459176548f,
8261     0.889048356f, -0.457813304f,
8262     0.889749586f, -0.456448982f,
8263     0.890448723f, -0.455083587f,
8264     0.891145765f, -0.453717121f,
8265     0.891840709f, -0.452349587f,
8266     0.892533555f, -0.450980989f,
8267     0.893224301f, -0.449611330f,
8268     0.893912945f, -0.448240612f,
8269     0.894599486f, -0.446868840f,
8270     0.895283921f, -0.445496017f,
8271     0.895966250f, -0.444122145f,
8272     0.896646470f, -0.442747228f,
8273     0.897324581f, -0.441371269f,
8274     0.898000580f, -0.439994271f,
8275     0.898674466f, -0.438616239f,
8276     0.899346237f, -0.437237174f,
8277     0.900015892f, -0.435857080f,
8278     0.900683429f, -0.434475961f,
8279     0.901348847f, -0.433093819f,
8280     0.902012144f, -0.431710658f,
8281     0.902673318f, -0.430326481f,
8282     0.903332368f, -0.428941292f,
8283     0.903989293f, -0.427555093f,
8284     0.904644091f, -0.426167889f,
8285     0.905296759f, -0.424779681f,
8286     0.905947298f, -0.423390474f,
8287     0.906595705f, -0.422000271f,
8288     0.907241978f, -0.420609074f,
8289     0.907886116f, -0.419216888f,
8290     0.908528119f, -0.417823716f,
8291     0.909167983f, -0.416429560f,
8292     0.909805708f, -0.415034424f,
8293     0.910441292f, -0.413638312f,
8294     0.911074734f, -0.412241227f,
8295     0.911706032f, -0.410843171f,
8296     0.912335185f, -0.409444149f,
8297     0.912962190f, -0.408044163f,
8298     0.913587048f, -0.406643217f,
8299     0.914209756f, -0.405241314f,
8300     0.914830312f, -0.403838458f,
8301     0.915448716f, -0.402434651f,
8302     0.916064966f, -0.401029897f,
8303     0.916679060f, -0.399624200f,
8304     0.917290997f, -0.398217562f,
8305     0.917900776f, -0.396809987f,
8306     0.918508394f, -0.395401479f,
8307     0.919113852f, -0.393992040f,
8308     0.919717146f, -0.392581674f,
8309     0.920318277f, -0.391170384f,
8310     0.920917242f, -0.389758174f,
8311     0.921514039f, -0.388345047f,
8312     0.922108669f, -0.386931006f,
8313     0.922701128f, -0.385516054f,
8314     0.923291417f, -0.384100195f,
8315     0.923879533f, -0.382683432f,
8316     0.924465474f, -0.381265769f,
8317     0.925049241f, -0.379847209f,
8318     0.925630831f, -0.378427755f,
8319     0.926210242f, -0.377007410f,
8320     0.926787474f, -0.375586178f,
8321     0.927362526f, -0.374164063f,
8322     0.927935395f, -0.372741067f,
8323     0.928506080f, -0.371317194f,
8324     0.929074581f, -0.369892447f,
8325     0.929640896f, -0.368466830f,
8326     0.930205023f, -0.367040346f,
8327     0.930766961f, -0.365612998f,
8328     0.931326709f, -0.364184790f,
8329     0.931884266f, -0.362755724f,
8330     0.932439629f, -0.361325806f,
8331     0.932992799f, -0.359895037f,
8332     0.933543773f, -0.358463421f,
8333     0.934092550f, -0.357030961f,
8334     0.934639130f, -0.355597662f,
8335     0.935183510f, -0.354163525f,
8336     0.935725689f, -0.352728556f,
8337     0.936265667f, -0.351292756f,
8338     0.936803442f, -0.349856130f,
8339     0.937339012f, -0.348418680f,
8340     0.937872376f, -0.346980411f,
8341     0.938403534f, -0.345541325f,
8342     0.938932484f, -0.344101426f,
8343     0.939459224f, -0.342660717f,
8344     0.939983753f, -0.341219202f,
8345     0.940506071f, -0.339776884f,
8346     0.941026175f, -0.338333767f,
8347     0.941544065f, -0.336889853f,
8348     0.942059740f, -0.335445147f,
8349     0.942573198f, -0.333999651f,
8350     0.943084437f, -0.332553370f,
8351     0.943593458f, -0.331106306f,
8352     0.944100258f, -0.329658463f,
8353     0.944604837f, -0.328209844f,
8354     0.945107193f, -0.326760452f,
8355     0.945607325f, -0.325310292f,
8356     0.946105232f, -0.323859367f,
8357     0.946600913f, -0.322407679f,
8358     0.947094366f, -0.320955232f,
8359     0.947585591f, -0.319502031f,
8360     0.948074586f, -0.318048077f,
8361     0.948561350f, -0.316593376f,
8362     0.949045882f, -0.315137929f,
8363     0.949528181f, -0.313681740f,
8364     0.950008245f, -0.312224814f,
8365     0.950486074f, -0.310767153f,
8366     0.950961666f, -0.309308760f,
8367     0.951435021f, -0.307849640f,
8368     0.951906137f, -0.306389795f,
8369     0.952375013f, -0.304929230f,
8370     0.952841648f, -0.303467947f,
8371     0.953306040f, -0.302005949f,
8372     0.953768190f, -0.300543241f,
8373     0.954228095f, -0.299079826f,
8374     0.954685755f, -0.297615707f,
8375     0.955141168f, -0.296150888f,
8376     0.955594334f, -0.294685372f,
8377     0.956045251f, -0.293219163f,
8378     0.956493919f, -0.291752263f,
8379     0.956940336f, -0.290284677f,
8380     0.957384501f, -0.288816408f,
8381     0.957826413f, -0.287347460f,
8382     0.958266071f, -0.285877835f,
8383     0.958703475f, -0.284407537f,
8384     0.959138622f, -0.282936570f,
8385     0.959571513f, -0.281464938f,
8386     0.960002146f, -0.279992643f,
8387     0.960430519f, -0.278519689f,
8388     0.960856633f, -0.277046080f,
8389     0.961280486f, -0.275571819f,
8390     0.961702077f, -0.274096910f,
8391     0.962121404f, -0.272621355f,
8392     0.962538468f, -0.271145160f,
8393     0.962953267f, -0.269668326f,
8394     0.963365800f, -0.268190857f,
8395     0.963776066f, -0.266712757f,
8396     0.964184064f, -0.265234030f,
8397     0.964589793f, -0.263754679f,
8398     0.964993253f, -0.262274707f,
8399     0.965394442f, -0.260794118f,
8400     0.965793359f, -0.259312915f,
8401     0.966190003f, -0.257831102f,
8402     0.966584374f, -0.256348682f,
8403     0.966976471f, -0.254865660f,
8404     0.967366292f, -0.253382037f,
8405     0.967753837f, -0.251897818f,
8406     0.968139105f, -0.250413007f,
8407     0.968522094f, -0.248927606f,
8408     0.968902805f, -0.247441619f,
8409     0.969281235f, -0.245955050f,
8410     0.969657385f, -0.244467903f,
8411     0.970031253f, -0.242980180f,
8412     0.970402839f, -0.241491885f,
8413     0.970772141f, -0.240003022f,
8414     0.971139158f, -0.238513595f,
8415     0.971503891f, -0.237023606f,
8416     0.971866337f, -0.235533059f,
8417     0.972226497f, -0.234041959f,
8418     0.972584369f, -0.232550307f,
8419     0.972939952f, -0.231058108f,
8420     0.973293246f, -0.229565366f,
8421     0.973644250f, -0.228072083f,
8422     0.973992962f, -0.226578264f,
8423     0.974339383f, -0.225083911f,
8424     0.974683511f, -0.223589029f,
8425     0.975025345f, -0.222093621f,
8426     0.975364885f, -0.220597690f,
8427     0.975702130f, -0.219101240f,
8428     0.976037079f, -0.217604275f,
8429     0.976369731f, -0.216106797f,
8430     0.976700086f, -0.214608811f,
8431     0.977028143f, -0.213110320f,
8432     0.977353900f, -0.211611327f,
8433     0.977677358f, -0.210111837f,
8434     0.977998515f, -0.208611852f,
8435     0.978317371f, -0.207111376f,
8436     0.978633924f, -0.205610413f,
8437     0.978948175f, -0.204108966f,
8438     0.979260123f, -0.202607039f,
8439     0.979569766f, -0.201104635f,
8440     0.979877104f, -0.199601758f,
8441     0.980182136f, -0.198098411f,
8442     0.980484862f, -0.196594598f,
8443     0.980785280f, -0.195090322f,
8444     0.981083391f, -0.193585587f,
8445     0.981379193f, -0.192080397f,
8446     0.981672686f, -0.190574755f,
8447     0.981963869f, -0.189068664f,
8448     0.982252741f, -0.187562129f,
8449     0.982539302f, -0.186055152f,
8450     0.982823551f, -0.184547737f,
8451     0.983105487f, -0.183039888f,
8452     0.983385110f, -0.181531608f,
8453     0.983662419f, -0.180022901f,
8454     0.983937413f, -0.178513771f,
8455     0.984210092f, -0.177004220f,
8456     0.984480455f, -0.175494253f,
8457     0.984748502f, -0.173983873f,
8458     0.985014231f, -0.172473084f,
8459     0.985277642f, -0.170961889f,
8460     0.985538735f, -0.169450291f,
8461     0.985797509f, -0.167938295f,
8462     0.986053963f, -0.166425904f,
8463     0.986308097f, -0.164913120f,
8464     0.986559910f, -0.163399949f,
8465     0.986809402f, -0.161886394f,
8466     0.987056571f, -0.160372457f,
8467     0.987301418f, -0.158858143f,
8468     0.987543942f, -0.157343456f,
8469     0.987784142f, -0.155828398f,
8470     0.988022017f, -0.154312973f,
8471     0.988257568f, -0.152797185f,
8472     0.988490793f, -0.151281038f,
8473     0.988721692f, -0.149764535f,
8474     0.988950265f, -0.148247679f,
8475     0.989176510f, -0.146730474f,
8476     0.989400428f, -0.145212925f,
8477     0.989622017f, -0.143695033f,
8478     0.989841278f, -0.142176804f,
8479     0.990058210f, -0.140658239f,
8480     0.990272812f, -0.139139344f,
8481     0.990485084f, -0.137620122f,
8482     0.990695025f, -0.136100575f,
8483     0.990902635f, -0.134580709f,
8484     0.991107914f, -0.133060525f,
8485     0.991310860f, -0.131540029f,
8486     0.991511473f, -0.130019223f,
8487     0.991709754f, -0.128498111f,
8488     0.991905700f, -0.126976696f,
8489     0.992099313f, -0.125454983f,
8490     0.992290591f, -0.123932975f,
8491     0.992479535f, -0.122410675f,
8492     0.992666142f, -0.120888087f,
8493     0.992850414f, -0.119365215f,
8494     0.993032350f, -0.117842062f,
8495     0.993211949f, -0.116318631f,
8496     0.993389211f, -0.114794927f,
8497     0.993564136f, -0.113270952f,
8498     0.993736722f, -0.111746711f,
8499     0.993906970f, -0.110222207f,
8500     0.994074879f, -0.108697444f,
8501     0.994240449f, -0.107172425f,
8502     0.994403680f, -0.105647154f,
8503     0.994564571f, -0.104121634f,
8504     0.994723121f, -0.102595869f,
8505     0.994879331f, -0.101069863f,
8506     0.995033199f, -0.099543619f,
8507     0.995184727f, -0.098017140f,
8508     0.995333912f, -0.096490431f,
8509     0.995480755f, -0.094963495f,
8510     0.995625256f, -0.093436336f,
8511     0.995767414f, -0.091908956f,
8512     0.995907229f, -0.090381361f,
8513     0.996044701f, -0.088853553f,
8514     0.996179829f, -0.087325535f,
8515     0.996312612f, -0.085797312f,
8516     0.996443051f, -0.084268888f,
8517     0.996571146f, -0.082740265f,
8518     0.996696895f, -0.081211447f,
8519     0.996820299f, -0.079682438f,
8520     0.996941358f, -0.078153242f,
8521     0.997060070f, -0.076623861f,
8522     0.997176437f, -0.075094301f,
8523     0.997290457f, -0.073564564f,
8524     0.997402130f, -0.072034653f,
8525     0.997511456f, -0.070504573f,
8526     0.997618435f, -0.068974328f,
8527     0.997723067f, -0.067443920f,
8528     0.997825350f, -0.065913353f,
8529     0.997925286f, -0.064382631f,
8530     0.998022874f, -0.062851758f,
8531     0.998118113f, -0.061320736f,
8532     0.998211003f, -0.059789571f,
8533     0.998301545f, -0.058258265f,
8534     0.998389737f, -0.056726821f,
8535     0.998475581f, -0.055195244f,
8536     0.998559074f, -0.053663538f,
8537     0.998640218f, -0.052131705f,
8538     0.998719012f, -0.050599749f,
8539     0.998795456f, -0.049067674f,
8540     0.998869550f, -0.047535484f,
8541     0.998941293f, -0.046003182f,
8542     0.999010686f, -0.044470772f,
8543     0.999077728f, -0.042938257f,
8544     0.999142419f, -0.041405641f,
8545     0.999204759f, -0.039872928f,
8546     0.999264747f, -0.038340120f,
8547     0.999322385f, -0.036807223f,
8548     0.999377670f, -0.035274239f,
8549     0.999430605f, -0.033741172f,
8550     0.999481187f, -0.032208025f,
8551     0.999529418f, -0.030674803f,
8552     0.999575296f, -0.029141509f,
8553     0.999618822f, -0.027608146f,
8554     0.999659997f, -0.026074718f,
8555     0.999698819f, -0.024541229f,
8556     0.999735288f, -0.023007681f,
8557     0.999769405f, -0.021474080f,
8558     0.999801170f, -0.019940429f,
8559     0.999830582f, -0.018406730f,
8560     0.999857641f, -0.016872988f,
8561     0.999882347f, -0.015339206f,
8562     0.999904701f, -0.013805389f,
8563     0.999924702f, -0.012271538f,
8564     0.999942350f, -0.010737659f,
8565     0.999957645f, -0.009203755f,
8566     0.999970586f, -0.007669829f,
8567     0.999981175f, -0.006135885f,
8568     0.999989411f, -0.004601926f,
8569     0.999995294f, -0.003067957f,
8570     0.999998823f, -0.001533980f
8571 };
8572
8573 /*
8574 * @brief  Q31 Twiddle factors Table
8575 */
8576
8577 /**
8578 * \par
8579 * Example code for Q31 Twiddle factors Generation::
8580 * \par
8581 * <pre>for(i = 0; i< 3N/4; i++)
8582 * {
8583 *    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
8584 *    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
8585 * } </pre>
8586 * \par
8587 * where N = 4096        and PI = 3.14159265358979
8588 * \par
8589 * Cos and Sin values are interleaved fashion
8590 * \par
8591 * Convert Floating point to Q31(Fixed point 1.31):
8592 *       round(twiddleCoefQ31(i) * pow(2, 31))
8593 *
8594 */
8595
8596 const q31_t twiddleCoefQ31[6144] = {
8597   0x7fffffff, 0x0, 0x7ffff621, 0x3243f5, 0x7fffd886, 0x6487e3, 0x7fffa72c,
8598     0x96cbc1,
8599   0x7fff6216, 0xc90f88, 0x7fff0943, 0xfb5330, 0x7ffe9cb2, 0x12d96b1,
8600     0x7ffe1c65, 0x15fda03,
8601   0x7ffd885a, 0x1921d20, 0x7ffce093, 0x1c45ffe, 0x7ffc250f, 0x1f6a297,
8602     0x7ffb55ce, 0x228e4e2,
8603   0x7ffa72d1, 0x25b26d7, 0x7ff97c18, 0x28d6870, 0x7ff871a2, 0x2bfa9a4,
8604     0x7ff75370, 0x2f1ea6c,
8605   0x7ff62182, 0x3242abf, 0x7ff4dbd9, 0x3566a96, 0x7ff38274, 0x388a9ea,
8606     0x7ff21553, 0x3bae8b2,
8607   0x7ff09478, 0x3ed26e6, 0x7feeffe1, 0x41f6480, 0x7fed5791, 0x451a177,
8608     0x7feb9b85, 0x483ddc3,
8609   0x7fe9cbc0, 0x4b6195d, 0x7fe7e841, 0x4e8543e, 0x7fe5f108, 0x51a8e5c,
8610     0x7fe3e616, 0x54cc7b1,
8611   0x7fe1c76b, 0x57f0035, 0x7fdf9508, 0x5b137df, 0x7fdd4eec, 0x5e36ea9,
8612     0x7fdaf519, 0x615a48b,
8613   0x7fd8878e, 0x647d97c, 0x7fd6064c, 0x67a0d76, 0x7fd37153, 0x6ac406f,
8614     0x7fd0c8a3, 0x6de7262,
8615   0x7fce0c3e, 0x710a345, 0x7fcb3c23, 0x742d311, 0x7fc85854, 0x77501be,
8616     0x7fc560cf, 0x7a72f45,
8617   0x7fc25596, 0x7d95b9e, 0x7fbf36aa, 0x80b86c2, 0x7fbc040a, 0x83db0a7,
8618     0x7fb8bdb8, 0x86fd947,
8619   0x7fb563b3, 0x8a2009a, 0x7fb1f5fc, 0x8d42699, 0x7fae7495, 0x9064b3a,
8620     0x7faadf7c, 0x9386e78,
8621   0x7fa736b4, 0x96a9049, 0x7fa37a3c, 0x99cb0a7, 0x7f9faa15, 0x9cecf89,
8622     0x7f9bc640, 0xa00ece8,
8623   0x7f97cebd, 0xa3308bd, 0x7f93c38c, 0xa6522fe, 0x7f8fa4b0, 0xa973ba5,
8624     0x7f8b7227, 0xac952aa,
8625   0x7f872bf3, 0xafb6805, 0x7f82d214, 0xb2d7baf, 0x7f7e648c, 0xb5f8d9f,
8626     0x7f79e35a, 0xb919dcf,
8627   0x7f754e80, 0xbc3ac35, 0x7f70a5fe, 0xbf5b8cb, 0x7f6be9d4, 0xc27c389,
8628     0x7f671a05, 0xc59cc68,
8629   0x7f62368f, 0xc8bd35e, 0x7f5d3f75, 0xcbdd865, 0x7f5834b7, 0xcefdb76,
8630     0x7f531655, 0xd21dc87,
8631   0x7f4de451, 0xd53db92, 0x7f489eaa, 0xd85d88f, 0x7f434563, 0xdb7d376,
8632     0x7f3dd87c, 0xde9cc40,
8633   0x7f3857f6, 0xe1bc2e4, 0x7f32c3d1, 0xe4db75b, 0x7f2d1c0e, 0xe7fa99e,
8634     0x7f2760af, 0xeb199a4,
8635   0x7f2191b4, 0xee38766, 0x7f1baf1e, 0xf1572dc, 0x7f15b8ee, 0xf475bff,
8636     0x7f0faf25, 0xf7942c7,
8637   0x7f0991c4, 0xfab272b, 0x7f0360cb, 0xfdd0926, 0x7efd1c3c, 0x100ee8ad,
8638     0x7ef6c418, 0x1040c5bb,
8639   0x7ef05860, 0x1072a048, 0x7ee9d914, 0x10a4784b, 0x7ee34636, 0x10d64dbd,
8640     0x7edc9fc6, 0x11082096,
8641   0x7ed5e5c6, 0x1139f0cf, 0x7ecf1837, 0x116bbe60, 0x7ec8371a, 0x119d8941,
8642     0x7ec14270, 0x11cf516a,
8643   0x7eba3a39, 0x120116d5, 0x7eb31e78, 0x1232d979, 0x7eabef2c, 0x1264994e,
8644     0x7ea4ac58, 0x1296564d,
8645   0x7e9d55fc, 0x12c8106f, 0x7e95ec1a, 0x12f9c7aa, 0x7e8e6eb2, 0x132b7bf9,
8646     0x7e86ddc6, 0x135d2d53,
8647   0x7e7f3957, 0x138edbb1, 0x7e778166, 0x13c0870a, 0x7e6fb5f4, 0x13f22f58,
8648     0x7e67d703, 0x1423d492,
8649   0x7e5fe493, 0x145576b1, 0x7e57dea7, 0x148715ae, 0x7e4fc53e, 0x14b8b17f,
8650     0x7e47985b, 0x14ea4a1f,
8651   0x7e3f57ff, 0x151bdf86, 0x7e37042a, 0x154d71aa, 0x7e2e9cdf, 0x157f0086,
8652     0x7e26221f, 0x15b08c12,
8653   0x7e1d93ea, 0x15e21445, 0x7e14f242, 0x16139918, 0x7e0c3d29, 0x16451a83,
8654     0x7e0374a0, 0x1676987f,
8655   0x7dfa98a8, 0x16a81305, 0x7df1a942, 0x16d98a0c, 0x7de8a670, 0x170afd8d,
8656     0x7ddf9034, 0x173c6d80,
8657   0x7dd6668f, 0x176dd9de, 0x7dcd2981, 0x179f429f, 0x7dc3d90d, 0x17d0a7bc,
8658     0x7dba7534, 0x1802092c,
8659   0x7db0fdf8, 0x183366e9, 0x7da77359, 0x1864c0ea, 0x7d9dd55a, 0x18961728,
8660     0x7d9423fc, 0x18c7699b,
8661   0x7d8a5f40, 0x18f8b83c, 0x7d808728, 0x192a0304, 0x7d769bb5, 0x195b49ea,
8662     0x7d6c9ce9, 0x198c8ce7,
8663   0x7d628ac6, 0x19bdcbf3, 0x7d58654d, 0x19ef0707, 0x7d4e2c7f, 0x1a203e1b,
8664     0x7d43e05e, 0x1a517128,
8665   0x7d3980ec, 0x1a82a026, 0x7d2f0e2b, 0x1ab3cb0d, 0x7d24881b, 0x1ae4f1d6,
8666     0x7d19eebf, 0x1b161479,
8667   0x7d0f4218, 0x1b4732ef, 0x7d048228, 0x1b784d30, 0x7cf9aef0, 0x1ba96335,
8668     0x7ceec873, 0x1bda74f6,
8669   0x7ce3ceb2, 0x1c0b826a, 0x7cd8c1ae, 0x1c3c8b8c, 0x7ccda169, 0x1c6d9053,
8670     0x7cc26de5, 0x1c9e90b8,
8671   0x7cb72724, 0x1ccf8cb3, 0x7cabcd28, 0x1d00843d, 0x7ca05ff1, 0x1d31774d,
8672     0x7c94df83, 0x1d6265dd,
8673   0x7c894bde, 0x1d934fe5, 0x7c7da505, 0x1dc4355e, 0x7c71eaf9, 0x1df5163f,
8674     0x7c661dbc, 0x1e25f282,
8675   0x7c5a3d50, 0x1e56ca1e, 0x7c4e49b7, 0x1e879d0d, 0x7c4242f2, 0x1eb86b46,
8676     0x7c362904, 0x1ee934c3,
8677   0x7c29fbee, 0x1f19f97b, 0x7c1dbbb3, 0x1f4ab968, 0x7c116853, 0x1f7b7481,
8678     0x7c0501d2, 0x1fac2abf,
8679   0x7bf88830, 0x1fdcdc1b, 0x7bebfb70, 0x200d888d, 0x7bdf5b94, 0x203e300d,
8680     0x7bd2a89e, 0x206ed295,
8681   0x7bc5e290, 0x209f701c, 0x7bb9096b, 0x20d0089c, 0x7bac1d31, 0x21009c0c,
8682     0x7b9f1de6, 0x21312a65,
8683   0x7b920b89, 0x2161b3a0, 0x7b84e61f, 0x219237b5, 0x7b77ada8, 0x21c2b69c,
8684     0x7b6a6227, 0x21f3304f,
8685   0x7b5d039e, 0x2223a4c5, 0x7b4f920e, 0x225413f8, 0x7b420d7a, 0x22847de0,
8686     0x7b3475e5, 0x22b4e274,
8687   0x7b26cb4f, 0x22e541af, 0x7b190dbc, 0x23159b88, 0x7b0b3d2c, 0x2345eff8,
8688     0x7afd59a4, 0x23763ef7,
8689   0x7aef6323, 0x23a6887f, 0x7ae159ae, 0x23d6cc87, 0x7ad33d45, 0x24070b08,
8690     0x7ac50dec, 0x243743fa,
8691   0x7ab6cba4, 0x24677758, 0x7aa8766f, 0x2497a517, 0x7a9a0e50, 0x24c7cd33,
8692     0x7a8b9348, 0x24f7efa2,
8693   0x7a7d055b, 0x25280c5e, 0x7a6e648a, 0x2558235f, 0x7a5fb0d8, 0x2588349d,
8694     0x7a50ea47, 0x25b84012,
8695   0x7a4210d8, 0x25e845b6, 0x7a332490, 0x26184581, 0x7a24256f, 0x26483f6c,
8696     0x7a151378, 0x26783370,
8697   0x7a05eead, 0x26a82186, 0x79f6b711, 0x26d809a5, 0x79e76ca7, 0x2707ebc7,
8698     0x79d80f6f, 0x2737c7e3,
8699   0x79c89f6e, 0x27679df4, 0x79b91ca4, 0x27976df1, 0x79a98715, 0x27c737d3,
8700     0x7999dec4, 0x27f6fb92,
8701   0x798a23b1, 0x2826b928, 0x797a55e0, 0x2856708d, 0x796a7554, 0x288621b9,
8702     0x795a820e, 0x28b5cca5,
8703   0x794a7c12, 0x28e5714b, 0x793a6361, 0x29150fa1, 0x792a37fe, 0x2944a7a2,
8704     0x7919f9ec, 0x29743946,
8705   0x7909a92d, 0x29a3c485, 0x78f945c3, 0x29d34958, 0x78e8cfb2, 0x2a02c7b8,
8706     0x78d846fb, 0x2a323f9e,
8707   0x78c7aba2, 0x2a61b101, 0x78b6fda8, 0x2a911bdc, 0x78a63d11, 0x2ac08026,
8708     0x789569df, 0x2aefddd8,
8709   0x78848414, 0x2b1f34eb, 0x78738bb3, 0x2b4e8558, 0x786280bf, 0x2b7dcf17,
8710     0x7851633b, 0x2bad1221,
8711   0x78403329, 0x2bdc4e6f, 0x782ef08b, 0x2c0b83fa, 0x781d9b65, 0x2c3ab2b9,
8712     0x780c33b8, 0x2c69daa6,
8713   0x77fab989, 0x2c98fbba, 0x77e92cd9, 0x2cc815ee, 0x77d78daa, 0x2cf72939,
8714     0x77c5dc01, 0x2d263596,
8715   0x77b417df, 0x2d553afc, 0x77a24148, 0x2d843964, 0x7790583e, 0x2db330c7,
8716     0x777e5cc3, 0x2de2211e,
8717   0x776c4edb, 0x2e110a62, 0x775a2e89, 0x2e3fec8b, 0x7747fbce, 0x2e6ec792,
8718     0x7735b6af, 0x2e9d9b70,
8719   0x77235f2d, 0x2ecc681e, 0x7710f54c, 0x2efb2d95, 0x76fe790e, 0x2f29ebcc,
8720     0x76ebea77, 0x2f58a2be,
8721   0x76d94989, 0x2f875262, 0x76c69647, 0x2fb5fab2, 0x76b3d0b4, 0x2fe49ba7,
8722     0x76a0f8d2, 0x30133539,
8723   0x768e0ea6, 0x3041c761, 0x767b1231, 0x30705217, 0x76680376, 0x309ed556,
8724     0x7654e279, 0x30cd5115,
8725   0x7641af3d, 0x30fbc54d, 0x762e69c4, 0x312a31f8, 0x761b1211, 0x3158970e,
8726     0x7607a828, 0x3186f487,
8727   0x75f42c0b, 0x31b54a5e, 0x75e09dbd, 0x31e39889, 0x75ccfd42, 0x3211df04,
8728     0x75b94a9c, 0x32401dc6,
8729   0x75a585cf, 0x326e54c7, 0x7591aedd, 0x329c8402, 0x757dc5ca, 0x32caab6f,
8730     0x7569ca99, 0x32f8cb07,
8731   0x7555bd4c, 0x3326e2c3, 0x75419de7, 0x3354f29b, 0x752d6c6c, 0x3382fa88,
8732     0x751928e0, 0x33b0fa84,
8733   0x7504d345, 0x33def287, 0x74f06b9e, 0x340ce28b, 0x74dbf1ef, 0x343aca87,
8734     0x74c7663a, 0x3468aa76,
8735   0x74b2c884, 0x34968250, 0x749e18cd, 0x34c4520d, 0x7489571c, 0x34f219a8,
8736     0x74748371, 0x351fd918,
8737   0x745f9dd1, 0x354d9057, 0x744aa63f, 0x357b3f5d, 0x74359cbd, 0x35a8e625,
8738     0x74208150, 0x35d684a6,
8739   0x740b53fb, 0x36041ad9, 0x73f614c0, 0x3631a8b8, 0x73e0c3a3, 0x365f2e3b,
8740     0x73cb60a8, 0x368cab5c,
8741   0x73b5ebd1, 0x36ba2014, 0x73a06522, 0x36e78c5b, 0x738acc9e, 0x3714f02a,
8742     0x73752249, 0x37424b7b,
8743   0x735f6626, 0x376f9e46, 0x73499838, 0x379ce885, 0x7333b883, 0x37ca2a30,
8744     0x731dc70a, 0x37f76341,
8745   0x7307c3d0, 0x382493b0, 0x72f1aed9, 0x3851bb77, 0x72db8828, 0x387eda8e,
8746     0x72c54fc1, 0x38abf0ef,
8747   0x72af05a7, 0x38d8fe93, 0x7298a9dd, 0x39060373, 0x72823c67, 0x3932ff87,
8748     0x726bbd48, 0x395ff2c9,
8749   0x72552c85, 0x398cdd32, 0x723e8a20, 0x39b9bebc, 0x7227d61c, 0x39e6975e,
8750     0x7211107e, 0x3a136712,
8751   0x71fa3949, 0x3a402dd2, 0x71e35080, 0x3a6ceb96, 0x71cc5626, 0x3a99a057,
8752     0x71b54a41, 0x3ac64c0f,
8753   0x719e2cd2, 0x3af2eeb7, 0x7186fdde, 0x3b1f8848, 0x716fbd68, 0x3b4c18ba,
8754     0x71586b74, 0x3b78a007,
8755   0x71410805, 0x3ba51e29, 0x7129931f, 0x3bd19318, 0x71120cc5, 0x3bfdfecd,
8756     0x70fa74fc, 0x3c2a6142,
8757   0x70e2cbc6, 0x3c56ba70, 0x70cb1128, 0x3c830a50, 0x70b34525, 0x3caf50da,
8758     0x709b67c0, 0x3cdb8e09,
8759   0x708378ff, 0x3d07c1d6, 0x706b78e3, 0x3d33ec39, 0x70536771, 0x3d600d2c,
8760     0x703b44ad, 0x3d8c24a8,
8761   0x7023109a, 0x3db832a6, 0x700acb3c, 0x3de4371f, 0x6ff27497, 0x3e10320d,
8762     0x6fda0cae, 0x3e3c2369,
8763   0x6fc19385, 0x3e680b2c, 0x6fa90921, 0x3e93e950, 0x6f906d84, 0x3ebfbdcd,
8764     0x6f77c0b3, 0x3eeb889c,
8765   0x6f5f02b2, 0x3f1749b8, 0x6f463383, 0x3f430119, 0x6f2d532c, 0x3f6eaeb8,
8766     0x6f1461b0, 0x3f9a5290,
8767   0x6efb5f12, 0x3fc5ec98, 0x6ee24b57, 0x3ff17cca, 0x6ec92683, 0x401d0321,
8768     0x6eaff099, 0x40487f94,
8769   0x6e96a99d, 0x4073f21d, 0x6e7d5193, 0x409f5ab6, 0x6e63e87f, 0x40cab958,
8770     0x6e4a6e66, 0x40f60dfb,
8771   0x6e30e34a, 0x4121589b, 0x6e174730, 0x414c992f, 0x6dfd9a1c, 0x4177cfb1,
8772     0x6de3dc11, 0x41a2fc1a,
8773   0x6dca0d14, 0x41ce1e65, 0x6db02d29, 0x41f93689, 0x6d963c54, 0x42244481,
8774     0x6d7c3a98, 0x424f4845,
8775   0x6d6227fa, 0x427a41d0, 0x6d48047e, 0x42a5311b, 0x6d2dd027, 0x42d0161e,
8776     0x6d138afb, 0x42faf0d4,
8777   0x6cf934fc, 0x4325c135, 0x6cdece2f, 0x4350873c, 0x6cc45698, 0x437b42e1,
8778     0x6ca9ce3b, 0x43a5f41e,
8779   0x6c8f351c, 0x43d09aed, 0x6c748b3f, 0x43fb3746, 0x6c59d0a9, 0x4425c923,
8780     0x6c3f055d, 0x4450507e,
8781   0x6c242960, 0x447acd50, 0x6c093cb6, 0x44a53f93, 0x6bee3f62, 0x44cfa740,
8782     0x6bd3316a, 0x44fa0450,
8783   0x6bb812d1, 0x452456bd, 0x6b9ce39b, 0x454e9e80, 0x6b81a3cd, 0x4578db93,
8784     0x6b66536b, 0x45a30df0,
8785   0x6b4af279, 0x45cd358f, 0x6b2f80fb, 0x45f7526b, 0x6b13fef5, 0x4621647d,
8786     0x6af86c6c, 0x464b6bbe,
8787   0x6adcc964, 0x46756828, 0x6ac115e2, 0x469f59b4, 0x6aa551e9, 0x46c9405c,
8788     0x6a897d7d, 0x46f31c1a,
8789   0x6a6d98a4, 0x471cece7, 0x6a51a361, 0x4746b2bc, 0x6a359db9, 0x47706d93,
8790     0x6a1987b0, 0x479a1d67,
8791   0x69fd614a, 0x47c3c22f, 0x69e12a8c, 0x47ed5be6, 0x69c4e37a, 0x4816ea86,
8792     0x69a88c19, 0x48406e08,
8793   0x698c246c, 0x4869e665, 0x696fac78, 0x48935397, 0x69532442, 0x48bcb599,
8794     0x69368bce, 0x48e60c62,
8795   0x6919e320, 0x490f57ee, 0x68fd2a3d, 0x49389836, 0x68e06129, 0x4961cd33,
8796     0x68c387e9, 0x498af6df,
8797   0x68a69e81, 0x49b41533, 0x6889a4f6, 0x49dd282a, 0x686c9b4b, 0x4a062fbd,
8798     0x684f8186, 0x4a2f2be6,
8799   0x683257ab, 0x4a581c9e, 0x68151dbe, 0x4a8101de, 0x67f7d3c5, 0x4aa9dba2,
8800     0x67da79c3, 0x4ad2a9e2,
8801   0x67bd0fbd, 0x4afb6c98, 0x679f95b7, 0x4b2423be, 0x67820bb7, 0x4b4ccf4d,
8802     0x676471c0, 0x4b756f40,
8803   0x6746c7d8, 0x4b9e0390, 0x67290e02, 0x4bc68c36, 0x670b4444, 0x4bef092d,
8804     0x66ed6aa1, 0x4c177a6e,
8805   0x66cf8120, 0x4c3fdff4, 0x66b187c3, 0x4c6839b7, 0x66937e91, 0x4c9087b1,
8806     0x6675658c, 0x4cb8c9dd,
8807   0x66573cbb, 0x4ce10034, 0x66390422, 0x4d092ab0, 0x661abbc5, 0x4d31494b,
8808     0x65fc63a9, 0x4d595bfe,
8809   0x65ddfbd3, 0x4d8162c4, 0x65bf8447, 0x4da95d96, 0x65a0fd0b, 0x4dd14c6e,
8810     0x65826622, 0x4df92f46,
8811   0x6563bf92, 0x4e210617, 0x6545095f, 0x4e48d0dd, 0x6526438f, 0x4e708f8f,
8812     0x65076e25, 0x4e984229,
8813   0x64e88926, 0x4ebfe8a5, 0x64c99498, 0x4ee782fb, 0x64aa907f, 0x4f0f1126,
8814     0x648b7ce0, 0x4f369320,
8815   0x646c59bf, 0x4f5e08e3, 0x644d2722, 0x4f857269, 0x642de50d, 0x4faccfab,
8816     0x640e9386, 0x4fd420a4,
8817   0x63ef3290, 0x4ffb654d, 0x63cfc231, 0x50229da1, 0x63b0426d, 0x5049c999,
8818     0x6390b34a, 0x5070e92f,
8819   0x637114cc, 0x5097fc5e, 0x635166f9, 0x50bf031f, 0x6331a9d4, 0x50e5fd6d,
8820     0x6311dd64, 0x510ceb40,
8821   0x62f201ac, 0x5133cc94, 0x62d216b3, 0x515aa162, 0x62b21c7b, 0x518169a5,
8822     0x6292130c, 0x51a82555,
8823   0x6271fa69, 0x51ced46e, 0x6251d298, 0x51f576ea, 0x62319b9d, 0x521c0cc2,
8824     0x6211557e, 0x524295f0,
8825   0x61f1003f, 0x5269126e, 0x61d09be5, 0x528f8238, 0x61b02876, 0x52b5e546,
8826     0x618fa5f7, 0x52dc3b92,
8827   0x616f146c, 0x53028518, 0x614e73da, 0x5328c1d0, 0x612dc447, 0x534ef1b5,
8828     0x610d05b7, 0x537514c2,
8829   0x60ec3830, 0x539b2af0, 0x60cb5bb7, 0x53c13439, 0x60aa7050, 0x53e73097,
8830     0x60897601, 0x540d2005,
8831   0x60686ccf, 0x5433027d, 0x604754bf, 0x5458d7f9, 0x60262dd6, 0x547ea073,
8832     0x6004f819, 0x54a45be6,
8833   0x5fe3b38d, 0x54ca0a4b, 0x5fc26038, 0x54efab9c, 0x5fa0fe1f, 0x55153fd4,
8834     0x5f7f8d46, 0x553ac6ee,
8835   0x5f5e0db3, 0x556040e2, 0x5f3c7f6b, 0x5585adad, 0x5f1ae274, 0x55ab0d46,
8836     0x5ef936d1, 0x55d05faa,
8837   0x5ed77c8a, 0x55f5a4d2, 0x5eb5b3a2, 0x561adcb9, 0x5e93dc1f, 0x56400758,
8838     0x5e71f606, 0x566524aa,
8839   0x5e50015d, 0x568a34a9, 0x5e2dfe29, 0x56af3750, 0x5e0bec6e, 0x56d42c99,
8840     0x5de9cc33, 0x56f9147e,
8841   0x5dc79d7c, 0x571deefa, 0x5da5604f, 0x5742bc06, 0x5d8314b1, 0x57677b9d,
8842     0x5d60baa7, 0x578c2dba,
8843   0x5d3e5237, 0x57b0d256, 0x5d1bdb65, 0x57d5696d, 0x5cf95638, 0x57f9f2f8,
8844     0x5cd6c2b5, 0x581e6ef1,
8845   0x5cb420e0, 0x5842dd54, 0x5c9170bf, 0x58673e1b, 0x5c6eb258, 0x588b9140,
8846     0x5c4be5b0, 0x58afd6bd,
8847   0x5c290acc, 0x58d40e8c, 0x5c0621b2, 0x58f838a9, 0x5be32a67, 0x591c550e,
8848     0x5bc024f0, 0x594063b5,
8849   0x5b9d1154, 0x59646498, 0x5b79ef96, 0x598857b2, 0x5b56bfbd, 0x59ac3cfd,
8850     0x5b3381ce, 0x59d01475,
8851   0x5b1035cf, 0x59f3de12, 0x5aecdbc5, 0x5a1799d1, 0x5ac973b5, 0x5a3b47ab,
8852     0x5aa5fda5, 0x5a5ee79a,
8853   0x5a82799a, 0x5a82799a, 0x5a5ee79a, 0x5aa5fda5, 0x5a3b47ab, 0x5ac973b5,
8854     0x5a1799d1, 0x5aecdbc5,
8855   0x59f3de12, 0x5b1035cf, 0x59d01475, 0x5b3381ce, 0x59ac3cfd, 0x5b56bfbd,
8856     0x598857b2, 0x5b79ef96,
8857   0x59646498, 0x5b9d1154, 0x594063b5, 0x5bc024f0, 0x591c550e, 0x5be32a67,
8858     0x58f838a9, 0x5c0621b2,
8859   0x58d40e8c, 0x5c290acc, 0x58afd6bd, 0x5c4be5b0, 0x588b9140, 0x5c6eb258,
8860     0x58673e1b, 0x5c9170bf,
8861   0x5842dd54, 0x5cb420e0, 0x581e6ef1, 0x5cd6c2b5, 0x57f9f2f8, 0x5cf95638,
8862     0x57d5696d, 0x5d1bdb65,
8863   0x57b0d256, 0x5d3e5237, 0x578c2dba, 0x5d60baa7, 0x57677b9d, 0x5d8314b1,
8864     0x5742bc06, 0x5da5604f,
8865   0x571deefa, 0x5dc79d7c, 0x56f9147e, 0x5de9cc33, 0x56d42c99, 0x5e0bec6e,
8866     0x56af3750, 0x5e2dfe29,
8867   0x568a34a9, 0x5e50015d, 0x566524aa, 0x5e71f606, 0x56400758, 0x5e93dc1f,
8868     0x561adcb9, 0x5eb5b3a2,
8869   0x55f5a4d2, 0x5ed77c8a, 0x55d05faa, 0x5ef936d1, 0x55ab0d46, 0x5f1ae274,
8870     0x5585adad, 0x5f3c7f6b,
8871   0x556040e2, 0x5f5e0db3, 0x553ac6ee, 0x5f7f8d46, 0x55153fd4, 0x5fa0fe1f,
8872     0x54efab9c, 0x5fc26038,
8873   0x54ca0a4b, 0x5fe3b38d, 0x54a45be6, 0x6004f819, 0x547ea073, 0x60262dd6,
8874     0x5458d7f9, 0x604754bf,
8875   0x5433027d, 0x60686ccf, 0x540d2005, 0x60897601, 0x53e73097, 0x60aa7050,
8876     0x53c13439, 0x60cb5bb7,
8877   0x539b2af0, 0x60ec3830, 0x537514c2, 0x610d05b7, 0x534ef1b5, 0x612dc447,
8878     0x5328c1d0, 0x614e73da,
8879   0x53028518, 0x616f146c, 0x52dc3b92, 0x618fa5f7, 0x52b5e546, 0x61b02876,
8880     0x528f8238, 0x61d09be5,
8881   0x5269126e, 0x61f1003f, 0x524295f0, 0x6211557e, 0x521c0cc2, 0x62319b9d,
8882     0x51f576ea, 0x6251d298,
8883   0x51ced46e, 0x6271fa69, 0x51a82555, 0x6292130c, 0x518169a5, 0x62b21c7b,
8884     0x515aa162, 0x62d216b3,
8885   0x5133cc94, 0x62f201ac, 0x510ceb40, 0x6311dd64, 0x50e5fd6d, 0x6331a9d4,
8886     0x50bf031f, 0x635166f9,
8887   0x5097fc5e, 0x637114cc, 0x5070e92f, 0x6390b34a, 0x5049c999, 0x63b0426d,
8888     0x50229da1, 0x63cfc231,
8889   0x4ffb654d, 0x63ef3290, 0x4fd420a4, 0x640e9386, 0x4faccfab, 0x642de50d,
8890     0x4f857269, 0x644d2722,
8891   0x4f5e08e3, 0x646c59bf, 0x4f369320, 0x648b7ce0, 0x4f0f1126, 0x64aa907f,
8892     0x4ee782fb, 0x64c99498,
8893   0x4ebfe8a5, 0x64e88926, 0x4e984229, 0x65076e25, 0x4e708f8f, 0x6526438f,
8894     0x4e48d0dd, 0x6545095f,
8895   0x4e210617, 0x6563bf92, 0x4df92f46, 0x65826622, 0x4dd14c6e, 0x65a0fd0b,
8896     0x4da95d96, 0x65bf8447,
8897   0x4d8162c4, 0x65ddfbd3, 0x4d595bfe, 0x65fc63a9, 0x4d31494b, 0x661abbc5,
8898     0x4d092ab0, 0x66390422,
8899   0x4ce10034, 0x66573cbb, 0x4cb8c9dd, 0x6675658c, 0x4c9087b1, 0x66937e91,
8900     0x4c6839b7, 0x66b187c3,
8901   0x4c3fdff4, 0x66cf8120, 0x4c177a6e, 0x66ed6aa1, 0x4bef092d, 0x670b4444,
8902     0x4bc68c36, 0x67290e02,
8903   0x4b9e0390, 0x6746c7d8, 0x4b756f40, 0x676471c0, 0x4b4ccf4d, 0x67820bb7,
8904     0x4b2423be, 0x679f95b7,
8905   0x4afb6c98, 0x67bd0fbd, 0x4ad2a9e2, 0x67da79c3, 0x4aa9dba2, 0x67f7d3c5,
8906     0x4a8101de, 0x68151dbe,
8907   0x4a581c9e, 0x683257ab, 0x4a2f2be6, 0x684f8186, 0x4a062fbd, 0x686c9b4b,
8908     0x49dd282a, 0x6889a4f6,
8909   0x49b41533, 0x68a69e81, 0x498af6df, 0x68c387e9, 0x4961cd33, 0x68e06129,
8910     0x49389836, 0x68fd2a3d,
8911   0x490f57ee, 0x6919e320, 0x48e60c62, 0x69368bce, 0x48bcb599, 0x69532442,
8912     0x48935397, 0x696fac78,
8913   0x4869e665, 0x698c246c, 0x48406e08, 0x69a88c19, 0x4816ea86, 0x69c4e37a,
8914     0x47ed5be6, 0x69e12a8c,
8915   0x47c3c22f, 0x69fd614a, 0x479a1d67, 0x6a1987b0, 0x47706d93, 0x6a359db9,
8916     0x4746b2bc, 0x6a51a361,
8917   0x471cece7, 0x6a6d98a4, 0x46f31c1a, 0x6a897d7d, 0x46c9405c, 0x6aa551e9,
8918     0x469f59b4, 0x6ac115e2,
8919   0x46756828, 0x6adcc964, 0x464b6bbe, 0x6af86c6c, 0x4621647d, 0x6b13fef5,
8920     0x45f7526b, 0x6b2f80fb,
8921   0x45cd358f, 0x6b4af279, 0x45a30df0, 0x6b66536b, 0x4578db93, 0x6b81a3cd,
8922     0x454e9e80, 0x6b9ce39b,
8923   0x452456bd, 0x6bb812d1, 0x44fa0450, 0x6bd3316a, 0x44cfa740, 0x6bee3f62,
8924     0x44a53f93, 0x6c093cb6,
8925   0x447acd50, 0x6c242960, 0x4450507e, 0x6c3f055d, 0x4425c923, 0x6c59d0a9,
8926     0x43fb3746, 0x6c748b3f,
8927   0x43d09aed, 0x6c8f351c, 0x43a5f41e, 0x6ca9ce3b, 0x437b42e1, 0x6cc45698,
8928     0x4350873c, 0x6cdece2f,
8929   0x4325c135, 0x6cf934fc, 0x42faf0d4, 0x6d138afb, 0x42d0161e, 0x6d2dd027,
8930     0x42a5311b, 0x6d48047e,
8931   0x427a41d0, 0x6d6227fa, 0x424f4845, 0x6d7c3a98, 0x42244481, 0x6d963c54,
8932     0x41f93689, 0x6db02d29,
8933   0x41ce1e65, 0x6dca0d14, 0x41a2fc1a, 0x6de3dc11, 0x4177cfb1, 0x6dfd9a1c,
8934     0x414c992f, 0x6e174730,
8935   0x4121589b, 0x6e30e34a, 0x40f60dfb, 0x6e4a6e66, 0x40cab958, 0x6e63e87f,
8936     0x409f5ab6, 0x6e7d5193,
8937   0x4073f21d, 0x6e96a99d, 0x40487f94, 0x6eaff099, 0x401d0321, 0x6ec92683,
8938     0x3ff17cca, 0x6ee24b57,
8939   0x3fc5ec98, 0x6efb5f12, 0x3f9a5290, 0x6f1461b0, 0x3f6eaeb8, 0x6f2d532c,
8940     0x3f430119, 0x6f463383,
8941   0x3f1749b8, 0x6f5f02b2, 0x3eeb889c, 0x6f77c0b3, 0x3ebfbdcd, 0x6f906d84,
8942     0x3e93e950, 0x6fa90921,
8943   0x3e680b2c, 0x6fc19385, 0x3e3c2369, 0x6fda0cae, 0x3e10320d, 0x6ff27497,
8944     0x3de4371f, 0x700acb3c,
8945   0x3db832a6, 0x7023109a, 0x3d8c24a8, 0x703b44ad, 0x3d600d2c, 0x70536771,
8946     0x3d33ec39, 0x706b78e3,
8947   0x3d07c1d6, 0x708378ff, 0x3cdb8e09, 0x709b67c0, 0x3caf50da, 0x70b34525,
8948     0x3c830a50, 0x70cb1128,
8949   0x3c56ba70, 0x70e2cbc6, 0x3c2a6142, 0x70fa74fc, 0x3bfdfecd, 0x71120cc5,
8950     0x3bd19318, 0x7129931f,
8951   0x3ba51e29, 0x71410805, 0x3b78a007, 0x71586b74, 0x3b4c18ba, 0x716fbd68,
8952     0x3b1f8848, 0x7186fdde,
8953   0x3af2eeb7, 0x719e2cd2, 0x3ac64c0f, 0x71b54a41, 0x3a99a057, 0x71cc5626,
8954     0x3a6ceb96, 0x71e35080,
8955   0x3a402dd2, 0x71fa3949, 0x3a136712, 0x7211107e, 0x39e6975e, 0x7227d61c,
8956     0x39b9bebc, 0x723e8a20,
8957   0x398cdd32, 0x72552c85, 0x395ff2c9, 0x726bbd48, 0x3932ff87, 0x72823c67,
8958     0x39060373, 0x7298a9dd,
8959   0x38d8fe93, 0x72af05a7, 0x38abf0ef, 0x72c54fc1, 0x387eda8e, 0x72db8828,
8960     0x3851bb77, 0x72f1aed9,
8961   0x382493b0, 0x7307c3d0, 0x37f76341, 0x731dc70a, 0x37ca2a30, 0x7333b883,
8962     0x379ce885, 0x73499838,
8963   0x376f9e46, 0x735f6626, 0x37424b7b, 0x73752249, 0x3714f02a, 0x738acc9e,
8964     0x36e78c5b, 0x73a06522,
8965   0x36ba2014, 0x73b5ebd1, 0x368cab5c, 0x73cb60a8, 0x365f2e3b, 0x73e0c3a3,
8966     0x3631a8b8, 0x73f614c0,
8967   0x36041ad9, 0x740b53fb, 0x35d684a6, 0x74208150, 0x35a8e625, 0x74359cbd,
8968     0x357b3f5d, 0x744aa63f,
8969   0x354d9057, 0x745f9dd1, 0x351fd918, 0x74748371, 0x34f219a8, 0x7489571c,
8970     0x34c4520d, 0x749e18cd,
8971   0x34968250, 0x74b2c884, 0x3468aa76, 0x74c7663a, 0x343aca87, 0x74dbf1ef,
8972     0x340ce28b, 0x74f06b9e,
8973   0x33def287, 0x7504d345, 0x33b0fa84, 0x751928e0, 0x3382fa88, 0x752d6c6c,
8974     0x3354f29b, 0x75419de7,
8975   0x3326e2c3, 0x7555bd4c, 0x32f8cb07, 0x7569ca99, 0x32caab6f, 0x757dc5ca,
8976     0x329c8402, 0x7591aedd,
8977   0x326e54c7, 0x75a585cf, 0x32401dc6, 0x75b94a9c, 0x3211df04, 0x75ccfd42,
8978     0x31e39889, 0x75e09dbd,
8979   0x31b54a5e, 0x75f42c0b, 0x3186f487, 0x7607a828, 0x3158970e, 0x761b1211,
8980     0x312a31f8, 0x762e69c4,
8981   0x30fbc54d, 0x7641af3d, 0x30cd5115, 0x7654e279, 0x309ed556, 0x76680376,
8982     0x30705217, 0x767b1231,
8983   0x3041c761, 0x768e0ea6, 0x30133539, 0x76a0f8d2, 0x2fe49ba7, 0x76b3d0b4,
8984     0x2fb5fab2, 0x76c69647,
8985   0x2f875262, 0x76d94989, 0x2f58a2be, 0x76ebea77, 0x2f29ebcc, 0x76fe790e,
8986     0x2efb2d95, 0x7710f54c,
8987   0x2ecc681e, 0x77235f2d, 0x2e9d9b70, 0x7735b6af, 0x2e6ec792, 0x7747fbce,
8988     0x2e3fec8b, 0x775a2e89,
8989   0x2e110a62, 0x776c4edb, 0x2de2211e, 0x777e5cc3, 0x2db330c7, 0x7790583e,
8990     0x2d843964, 0x77a24148,
8991   0x2d553afc, 0x77b417df, 0x2d263596, 0x77c5dc01, 0x2cf72939, 0x77d78daa,
8992     0x2cc815ee, 0x77e92cd9,
8993   0x2c98fbba, 0x77fab989, 0x2c69daa6, 0x780c33b8, 0x2c3ab2b9, 0x781d9b65,
8994     0x2c0b83fa, 0x782ef08b,
8995   0x2bdc4e6f, 0x78403329, 0x2bad1221, 0x7851633b, 0x2b7dcf17, 0x786280bf,
8996     0x2b4e8558, 0x78738bb3,
8997   0x2b1f34eb, 0x78848414, 0x2aefddd8, 0x789569df, 0x2ac08026, 0x78a63d11,
8998     0x2a911bdc, 0x78b6fda8,
8999   0x2a61b101, 0x78c7aba2, 0x2a323f9e, 0x78d846fb, 0x2a02c7b8, 0x78e8cfb2,
9000     0x29d34958, 0x78f945c3,
9001   0x29a3c485, 0x7909a92d, 0x29743946, 0x7919f9ec, 0x2944a7a2, 0x792a37fe,
9002     0x29150fa1, 0x793a6361,
9003   0x28e5714b, 0x794a7c12, 0x28b5cca5, 0x795a820e, 0x288621b9, 0x796a7554,
9004     0x2856708d, 0x797a55e0,
9005   0x2826b928, 0x798a23b1, 0x27f6fb92, 0x7999dec4, 0x27c737d3, 0x79a98715,
9006     0x27976df1, 0x79b91ca4,
9007   0x27679df4, 0x79c89f6e, 0x2737c7e3, 0x79d80f6f, 0x2707ebc7, 0x79e76ca7,
9008     0x26d809a5, 0x79f6b711,
9009   0x26a82186, 0x7a05eead, 0x26783370, 0x7a151378, 0x26483f6c, 0x7a24256f,
9010     0x26184581, 0x7a332490,
9011   0x25e845b6, 0x7a4210d8, 0x25b84012, 0x7a50ea47, 0x2588349d, 0x7a5fb0d8,
9012     0x2558235f, 0x7a6e648a,
9013   0x25280c5e, 0x7a7d055b, 0x24f7efa2, 0x7a8b9348, 0x24c7cd33, 0x7a9a0e50,
9014     0x2497a517, 0x7aa8766f,
9015   0x24677758, 0x7ab6cba4, 0x243743fa, 0x7ac50dec, 0x24070b08, 0x7ad33d45,
9016     0x23d6cc87, 0x7ae159ae,
9017   0x23a6887f, 0x7aef6323, 0x23763ef7, 0x7afd59a4, 0x2345eff8, 0x7b0b3d2c,
9018     0x23159b88, 0x7b190dbc,
9019   0x22e541af, 0x7b26cb4f, 0x22b4e274, 0x7b3475e5, 0x22847de0, 0x7b420d7a,
9020     0x225413f8, 0x7b4f920e,
9021   0x2223a4c5, 0x7b5d039e, 0x21f3304f, 0x7b6a6227, 0x21c2b69c, 0x7b77ada8,
9022     0x219237b5, 0x7b84e61f,
9023   0x2161b3a0, 0x7b920b89, 0x21312a65, 0x7b9f1de6, 0x21009c0c, 0x7bac1d31,
9024     0x20d0089c, 0x7bb9096b,
9025   0x209f701c, 0x7bc5e290, 0x206ed295, 0x7bd2a89e, 0x203e300d, 0x7bdf5b94,
9026     0x200d888d, 0x7bebfb70,
9027   0x1fdcdc1b, 0x7bf88830, 0x1fac2abf, 0x7c0501d2, 0x1f7b7481, 0x7c116853,
9028     0x1f4ab968, 0x7c1dbbb3,
9029   0x1f19f97b, 0x7c29fbee, 0x1ee934c3, 0x7c362904, 0x1eb86b46, 0x7c4242f2,
9030     0x1e879d0d, 0x7c4e49b7,
9031   0x1e56ca1e, 0x7c5a3d50, 0x1e25f282, 0x7c661dbc, 0x1df5163f, 0x7c71eaf9,
9032     0x1dc4355e, 0x7c7da505,
9033   0x1d934fe5, 0x7c894bde, 0x1d6265dd, 0x7c94df83, 0x1d31774d, 0x7ca05ff1,
9034     0x1d00843d, 0x7cabcd28,
9035   0x1ccf8cb3, 0x7cb72724, 0x1c9e90b8, 0x7cc26de5, 0x1c6d9053, 0x7ccda169,
9036     0x1c3c8b8c, 0x7cd8c1ae,
9037   0x1c0b826a, 0x7ce3ceb2, 0x1bda74f6, 0x7ceec873, 0x1ba96335, 0x7cf9aef0,
9038     0x1b784d30, 0x7d048228,
9039   0x1b4732ef, 0x7d0f4218, 0x1b161479, 0x7d19eebf, 0x1ae4f1d6, 0x7d24881b,
9040     0x1ab3cb0d, 0x7d2f0e2b,
9041   0x1a82a026, 0x7d3980ec, 0x1a517128, 0x7d43e05e, 0x1a203e1b, 0x7d4e2c7f,
9042     0x19ef0707, 0x7d58654d,
9043   0x19bdcbf3, 0x7d628ac6, 0x198c8ce7, 0x7d6c9ce9, 0x195b49ea, 0x7d769bb5,
9044     0x192a0304, 0x7d808728,
9045   0x18f8b83c, 0x7d8a5f40, 0x18c7699b, 0x7d9423fc, 0x18961728, 0x7d9dd55a,
9046     0x1864c0ea, 0x7da77359,
9047   0x183366e9, 0x7db0fdf8, 0x1802092c, 0x7dba7534, 0x17d0a7bc, 0x7dc3d90d,
9048     0x179f429f, 0x7dcd2981,
9049   0x176dd9de, 0x7dd6668f, 0x173c6d80, 0x7ddf9034, 0x170afd8d, 0x7de8a670,
9050     0x16d98a0c, 0x7df1a942,
9051   0x16a81305, 0x7dfa98a8, 0x1676987f, 0x7e0374a0, 0x16451a83, 0x7e0c3d29,
9052     0x16139918, 0x7e14f242,
9053   0x15e21445, 0x7e1d93ea, 0x15b08c12, 0x7e26221f, 0x157f0086, 0x7e2e9cdf,
9054     0x154d71aa, 0x7e37042a,
9055   0x151bdf86, 0x7e3f57ff, 0x14ea4a1f, 0x7e47985b, 0x14b8b17f, 0x7e4fc53e,
9056     0x148715ae, 0x7e57dea7,
9057   0x145576b1, 0x7e5fe493, 0x1423d492, 0x7e67d703, 0x13f22f58, 0x7e6fb5f4,
9058     0x13c0870a, 0x7e778166,
9059   0x138edbb1, 0x7e7f3957, 0x135d2d53, 0x7e86ddc6, 0x132b7bf9, 0x7e8e6eb2,
9060     0x12f9c7aa, 0x7e95ec1a,
9061   0x12c8106f, 0x7e9d55fc, 0x1296564d, 0x7ea4ac58, 0x1264994e, 0x7eabef2c,
9062     0x1232d979, 0x7eb31e78,
9063   0x120116d5, 0x7eba3a39, 0x11cf516a, 0x7ec14270, 0x119d8941, 0x7ec8371a,
9064     0x116bbe60, 0x7ecf1837,
9065   0x1139f0cf, 0x7ed5e5c6, 0x11082096, 0x7edc9fc6, 0x10d64dbd, 0x7ee34636,
9066     0x10a4784b, 0x7ee9d914,
9067   0x1072a048, 0x7ef05860, 0x1040c5bb, 0x7ef6c418, 0x100ee8ad, 0x7efd1c3c,
9068     0xfdd0926, 0x7f0360cb,
9069   0xfab272b, 0x7f0991c4, 0xf7942c7, 0x7f0faf25, 0xf475bff, 0x7f15b8ee,
9070     0xf1572dc, 0x7f1baf1e,
9071   0xee38766, 0x7f2191b4, 0xeb199a4, 0x7f2760af, 0xe7fa99e, 0x7f2d1c0e,
9072     0xe4db75b, 0x7f32c3d1,
9073   0xe1bc2e4, 0x7f3857f6, 0xde9cc40, 0x7f3dd87c, 0xdb7d376, 0x7f434563,
9074     0xd85d88f, 0x7f489eaa,
9075   0xd53db92, 0x7f4de451, 0xd21dc87, 0x7f531655, 0xcefdb76, 0x7f5834b7,
9076     0xcbdd865, 0x7f5d3f75,
9077   0xc8bd35e, 0x7f62368f, 0xc59cc68, 0x7f671a05, 0xc27c389, 0x7f6be9d4,
9078     0xbf5b8cb, 0x7f70a5fe,
9079   0xbc3ac35, 0x7f754e80, 0xb919dcf, 0x7f79e35a, 0xb5f8d9f, 0x7f7e648c,
9080     0xb2d7baf, 0x7f82d214,
9081   0xafb6805, 0x7f872bf3, 0xac952aa, 0x7f8b7227, 0xa973ba5, 0x7f8fa4b0,
9082     0xa6522fe, 0x7f93c38c,
9083   0xa3308bd, 0x7f97cebd, 0xa00ece8, 0x7f9bc640, 0x9cecf89, 0x7f9faa15,
9084     0x99cb0a7, 0x7fa37a3c,
9085   0x96a9049, 0x7fa736b4, 0x9386e78, 0x7faadf7c, 0x9064b3a, 0x7fae7495,
9086     0x8d42699, 0x7fb1f5fc,
9087   0x8a2009a, 0x7fb563b3, 0x86fd947, 0x7fb8bdb8, 0x83db0a7, 0x7fbc040a,
9088     0x80b86c2, 0x7fbf36aa,
9089   0x7d95b9e, 0x7fc25596, 0x7a72f45, 0x7fc560cf, 0x77501be, 0x7fc85854,
9090     0x742d311, 0x7fcb3c23,
9091   0x710a345, 0x7fce0c3e, 0x6de7262, 0x7fd0c8a3, 0x6ac406f, 0x7fd37153,
9092     0x67a0d76, 0x7fd6064c,
9093   0x647d97c, 0x7fd8878e, 0x615a48b, 0x7fdaf519, 0x5e36ea9, 0x7fdd4eec,
9094     0x5b137df, 0x7fdf9508,
9095   0x57f0035, 0x7fe1c76b, 0x54cc7b1, 0x7fe3e616, 0x51a8e5c, 0x7fe5f108,
9096     0x4e8543e, 0x7fe7e841,
9097   0x4b6195d, 0x7fe9cbc0, 0x483ddc3, 0x7feb9b85, 0x451a177, 0x7fed5791,
9098     0x41f6480, 0x7feeffe1,
9099   0x3ed26e6, 0x7ff09478, 0x3bae8b2, 0x7ff21553, 0x388a9ea, 0x7ff38274,
9100     0x3566a96, 0x7ff4dbd9,
9101   0x3242abf, 0x7ff62182, 0x2f1ea6c, 0x7ff75370, 0x2bfa9a4, 0x7ff871a2,
9102     0x28d6870, 0x7ff97c18,
9103   0x25b26d7, 0x7ffa72d1, 0x228e4e2, 0x7ffb55ce, 0x1f6a297, 0x7ffc250f,
9104     0x1c45ffe, 0x7ffce093,
9105   0x1921d20, 0x7ffd885a, 0x15fda03, 0x7ffe1c65, 0x12d96b1, 0x7ffe9cb2,
9106     0xfb5330, 0x7fff0943,
9107   0xc90f88, 0x7fff6216, 0x96cbc1, 0x7fffa72c, 0x6487e3, 0x7fffd886, 0x3243f5,
9108     0x7ffff621,
9109   0x0, 0x7fffffff, 0xffcdbc0b, 0x7ffff621, 0xff9b781d, 0x7fffd886, 0xff69343f,
9110     0x7fffa72c,
9111   0xff36f078, 0x7fff6216, 0xff04acd0, 0x7fff0943, 0xfed2694f, 0x7ffe9cb2,
9112     0xfea025fd, 0x7ffe1c65,
9113   0xfe6de2e0, 0x7ffd885a, 0xfe3ba002, 0x7ffce093, 0xfe095d69, 0x7ffc250f,
9114     0xfdd71b1e, 0x7ffb55ce,
9115   0xfda4d929, 0x7ffa72d1, 0xfd729790, 0x7ff97c18, 0xfd40565c, 0x7ff871a2,
9116     0xfd0e1594, 0x7ff75370,
9117   0xfcdbd541, 0x7ff62182, 0xfca9956a, 0x7ff4dbd9, 0xfc775616, 0x7ff38274,
9118     0xfc45174e, 0x7ff21553,
9119   0xfc12d91a, 0x7ff09478, 0xfbe09b80, 0x7feeffe1, 0xfbae5e89, 0x7fed5791,
9120     0xfb7c223d, 0x7feb9b85,
9121   0xfb49e6a3, 0x7fe9cbc0, 0xfb17abc2, 0x7fe7e841, 0xfae571a4, 0x7fe5f108,
9122     0xfab3384f, 0x7fe3e616,
9123   0xfa80ffcb, 0x7fe1c76b, 0xfa4ec821, 0x7fdf9508, 0xfa1c9157, 0x7fdd4eec,
9124     0xf9ea5b75, 0x7fdaf519,
9125   0xf9b82684, 0x7fd8878e, 0xf985f28a, 0x7fd6064c, 0xf953bf91, 0x7fd37153,
9126     0xf9218d9e, 0x7fd0c8a3,
9127   0xf8ef5cbb, 0x7fce0c3e, 0xf8bd2cef, 0x7fcb3c23, 0xf88afe42, 0x7fc85854,
9128     0xf858d0bb, 0x7fc560cf,
9129   0xf826a462, 0x7fc25596, 0xf7f4793e, 0x7fbf36aa, 0xf7c24f59, 0x7fbc040a,
9130     0xf79026b9, 0x7fb8bdb8,
9131   0xf75dff66, 0x7fb563b3, 0xf72bd967, 0x7fb1f5fc, 0xf6f9b4c6, 0x7fae7495,
9132     0xf6c79188, 0x7faadf7c,
9133   0xf6956fb7, 0x7fa736b4, 0xf6634f59, 0x7fa37a3c, 0xf6313077, 0x7f9faa15,
9134     0xf5ff1318, 0x7f9bc640,
9135   0xf5ccf743, 0x7f97cebd, 0xf59add02, 0x7f93c38c, 0xf568c45b, 0x7f8fa4b0,
9136     0xf536ad56, 0x7f8b7227,
9137   0xf50497fb, 0x7f872bf3, 0xf4d28451, 0x7f82d214, 0xf4a07261, 0x7f7e648c,
9138     0xf46e6231, 0x7f79e35a,
9139   0xf43c53cb, 0x7f754e80, 0xf40a4735, 0x7f70a5fe, 0xf3d83c77, 0x7f6be9d4,
9140     0xf3a63398, 0x7f671a05,
9141   0xf3742ca2, 0x7f62368f, 0xf342279b, 0x7f5d3f75, 0xf310248a, 0x7f5834b7,
9142     0xf2de2379, 0x7f531655,
9143   0xf2ac246e, 0x7f4de451, 0xf27a2771, 0x7f489eaa, 0xf2482c8a, 0x7f434563,
9144     0xf21633c0, 0x7f3dd87c,
9145   0xf1e43d1c, 0x7f3857f6, 0xf1b248a5, 0x7f32c3d1, 0xf1805662, 0x7f2d1c0e,
9146     0xf14e665c, 0x7f2760af,
9147   0xf11c789a, 0x7f2191b4, 0xf0ea8d24, 0x7f1baf1e, 0xf0b8a401, 0x7f15b8ee,
9148     0xf086bd39, 0x7f0faf25,
9149   0xf054d8d5, 0x7f0991c4, 0xf022f6da, 0x7f0360cb, 0xeff11753, 0x7efd1c3c,
9150     0xefbf3a45, 0x7ef6c418,
9151   0xef8d5fb8, 0x7ef05860, 0xef5b87b5, 0x7ee9d914, 0xef29b243, 0x7ee34636,
9152     0xeef7df6a, 0x7edc9fc6,
9153   0xeec60f31, 0x7ed5e5c6, 0xee9441a0, 0x7ecf1837, 0xee6276bf, 0x7ec8371a,
9154     0xee30ae96, 0x7ec14270,
9155   0xedfee92b, 0x7eba3a39, 0xedcd2687, 0x7eb31e78, 0xed9b66b2, 0x7eabef2c,
9156     0xed69a9b3, 0x7ea4ac58,
9157   0xed37ef91, 0x7e9d55fc, 0xed063856, 0x7e95ec1a, 0xecd48407, 0x7e8e6eb2,
9158     0xeca2d2ad, 0x7e86ddc6,
9159   0xec71244f, 0x7e7f3957, 0xec3f78f6, 0x7e778166, 0xec0dd0a8, 0x7e6fb5f4,
9160     0xebdc2b6e, 0x7e67d703,
9161   0xebaa894f, 0x7e5fe493, 0xeb78ea52, 0x7e57dea7, 0xeb474e81, 0x7e4fc53e,
9162     0xeb15b5e1, 0x7e47985b,
9163   0xeae4207a, 0x7e3f57ff, 0xeab28e56, 0x7e37042a, 0xea80ff7a, 0x7e2e9cdf,
9164     0xea4f73ee, 0x7e26221f,
9165   0xea1debbb, 0x7e1d93ea, 0xe9ec66e8, 0x7e14f242, 0xe9bae57d, 0x7e0c3d29,
9166     0xe9896781, 0x7e0374a0,
9167   0xe957ecfb, 0x7dfa98a8, 0xe92675f4, 0x7df1a942, 0xe8f50273, 0x7de8a670,
9168     0xe8c39280, 0x7ddf9034,
9169   0xe8922622, 0x7dd6668f, 0xe860bd61, 0x7dcd2981, 0xe82f5844, 0x7dc3d90d,
9170     0xe7fdf6d4, 0x7dba7534,
9171   0xe7cc9917, 0x7db0fdf8, 0xe79b3f16, 0x7da77359, 0xe769e8d8, 0x7d9dd55a,
9172     0xe7389665, 0x7d9423fc,
9173   0xe70747c4, 0x7d8a5f40, 0xe6d5fcfc, 0x7d808728, 0xe6a4b616, 0x7d769bb5,
9174     0xe6737319, 0x7d6c9ce9,
9175   0xe642340d, 0x7d628ac6, 0xe610f8f9, 0x7d58654d, 0xe5dfc1e5, 0x7d4e2c7f,
9176     0xe5ae8ed8, 0x7d43e05e,
9177   0xe57d5fda, 0x7d3980ec, 0xe54c34f3, 0x7d2f0e2b, 0xe51b0e2a, 0x7d24881b,
9178     0xe4e9eb87, 0x7d19eebf,
9179   0xe4b8cd11, 0x7d0f4218, 0xe487b2d0, 0x7d048228, 0xe4569ccb, 0x7cf9aef0,
9180     0xe4258b0a, 0x7ceec873,
9181   0xe3f47d96, 0x7ce3ceb2, 0xe3c37474, 0x7cd8c1ae, 0xe3926fad, 0x7ccda169,
9182     0xe3616f48, 0x7cc26de5,
9183   0xe330734d, 0x7cb72724, 0xe2ff7bc3, 0x7cabcd28, 0xe2ce88b3, 0x7ca05ff1,
9184     0xe29d9a23, 0x7c94df83,
9185   0xe26cb01b, 0x7c894bde, 0xe23bcaa2, 0x7c7da505, 0xe20ae9c1, 0x7c71eaf9,
9186     0xe1da0d7e, 0x7c661dbc,
9187   0xe1a935e2, 0x7c5a3d50, 0xe17862f3, 0x7c4e49b7, 0xe14794ba, 0x7c4242f2,
9188     0xe116cb3d, 0x7c362904,
9189   0xe0e60685, 0x7c29fbee, 0xe0b54698, 0x7c1dbbb3, 0xe0848b7f, 0x7c116853,
9190     0xe053d541, 0x7c0501d2,
9191   0xe02323e5, 0x7bf88830, 0xdff27773, 0x7bebfb70, 0xdfc1cff3, 0x7bdf5b94,
9192     0xdf912d6b, 0x7bd2a89e,
9193   0xdf608fe4, 0x7bc5e290, 0xdf2ff764, 0x7bb9096b, 0xdeff63f4, 0x7bac1d31,
9194     0xdeced59b, 0x7b9f1de6,
9195   0xde9e4c60, 0x7b920b89, 0xde6dc84b, 0x7b84e61f, 0xde3d4964, 0x7b77ada8,
9196     0xde0ccfb1, 0x7b6a6227,
9197   0xdddc5b3b, 0x7b5d039e, 0xddabec08, 0x7b4f920e, 0xdd7b8220, 0x7b420d7a,
9198     0xdd4b1d8c, 0x7b3475e5,
9199   0xdd1abe51, 0x7b26cb4f, 0xdcea6478, 0x7b190dbc, 0xdcba1008, 0x7b0b3d2c,
9200     0xdc89c109, 0x7afd59a4,
9201   0xdc597781, 0x7aef6323, 0xdc293379, 0x7ae159ae, 0xdbf8f4f8, 0x7ad33d45,
9202     0xdbc8bc06, 0x7ac50dec,
9203   0xdb9888a8, 0x7ab6cba4, 0xdb685ae9, 0x7aa8766f, 0xdb3832cd, 0x7a9a0e50,
9204     0xdb08105e, 0x7a8b9348,
9205   0xdad7f3a2, 0x7a7d055b, 0xdaa7dca1, 0x7a6e648a, 0xda77cb63, 0x7a5fb0d8,
9206     0xda47bfee, 0x7a50ea47,
9207   0xda17ba4a, 0x7a4210d8, 0xd9e7ba7f, 0x7a332490, 0xd9b7c094, 0x7a24256f,
9208     0xd987cc90, 0x7a151378,
9209   0xd957de7a, 0x7a05eead, 0xd927f65b, 0x79f6b711, 0xd8f81439, 0x79e76ca7,
9210     0xd8c8381d, 0x79d80f6f,
9211   0xd898620c, 0x79c89f6e, 0xd868920f, 0x79b91ca4, 0xd838c82d, 0x79a98715,
9212     0xd809046e, 0x7999dec4,
9213   0xd7d946d8, 0x798a23b1, 0xd7a98f73, 0x797a55e0, 0xd779de47, 0x796a7554,
9214     0xd74a335b, 0x795a820e,
9215   0xd71a8eb5, 0x794a7c12, 0xd6eaf05f, 0x793a6361, 0xd6bb585e, 0x792a37fe,
9216     0xd68bc6ba, 0x7919f9ec,
9217   0xd65c3b7b, 0x7909a92d, 0xd62cb6a8, 0x78f945c3, 0xd5fd3848, 0x78e8cfb2,
9218     0xd5cdc062, 0x78d846fb,
9219   0xd59e4eff, 0x78c7aba2, 0xd56ee424, 0x78b6fda8, 0xd53f7fda, 0x78a63d11,
9220     0xd5102228, 0x789569df,
9221   0xd4e0cb15, 0x78848414, 0xd4b17aa8, 0x78738bb3, 0xd48230e9, 0x786280bf,
9222     0xd452eddf, 0x7851633b,
9223   0xd423b191, 0x78403329, 0xd3f47c06, 0x782ef08b, 0xd3c54d47, 0x781d9b65,
9224     0xd396255a, 0x780c33b8,
9225   0xd3670446, 0x77fab989, 0xd337ea12, 0x77e92cd9, 0xd308d6c7, 0x77d78daa,
9226     0xd2d9ca6a, 0x77c5dc01,
9227   0xd2aac504, 0x77b417df, 0xd27bc69c, 0x77a24148, 0xd24ccf39, 0x7790583e,
9228     0xd21ddee2, 0x777e5cc3,
9229   0xd1eef59e, 0x776c4edb, 0xd1c01375, 0x775a2e89, 0xd191386e, 0x7747fbce,
9230     0xd1626490, 0x7735b6af,
9231   0xd13397e2, 0x77235f2d, 0xd104d26b, 0x7710f54c, 0xd0d61434, 0x76fe790e,
9232     0xd0a75d42, 0x76ebea77,
9233   0xd078ad9e, 0x76d94989, 0xd04a054e, 0x76c69647, 0xd01b6459, 0x76b3d0b4,
9234     0xcfeccac7, 0x76a0f8d2,
9235   0xcfbe389f, 0x768e0ea6, 0xcf8fade9, 0x767b1231, 0xcf612aaa, 0x76680376,
9236     0xcf32aeeb, 0x7654e279,
9237   0xcf043ab3, 0x7641af3d, 0xced5ce08, 0x762e69c4, 0xcea768f2, 0x761b1211,
9238     0xce790b79, 0x7607a828,
9239   0xce4ab5a2, 0x75f42c0b, 0xce1c6777, 0x75e09dbd, 0xcdee20fc, 0x75ccfd42,
9240     0xcdbfe23a, 0x75b94a9c,
9241   0xcd91ab39, 0x75a585cf, 0xcd637bfe, 0x7591aedd, 0xcd355491, 0x757dc5ca,
9242     0xcd0734f9, 0x7569ca99,
9243   0xccd91d3d, 0x7555bd4c, 0xccab0d65, 0x75419de7, 0xcc7d0578, 0x752d6c6c,
9244     0xcc4f057c, 0x751928e0,
9245   0xcc210d79, 0x7504d345, 0xcbf31d75, 0x74f06b9e, 0xcbc53579, 0x74dbf1ef,
9246     0xcb97558a, 0x74c7663a,
9247   0xcb697db0, 0x74b2c884, 0xcb3badf3, 0x749e18cd, 0xcb0de658, 0x7489571c,
9248     0xcae026e8, 0x74748371,
9249   0xcab26fa9, 0x745f9dd1, 0xca84c0a3, 0x744aa63f, 0xca5719db, 0x74359cbd,
9250     0xca297b5a, 0x74208150,
9251   0xc9fbe527, 0x740b53fb, 0xc9ce5748, 0x73f614c0, 0xc9a0d1c5, 0x73e0c3a3,
9252     0xc97354a4, 0x73cb60a8,
9253   0xc945dfec, 0x73b5ebd1, 0xc91873a5, 0x73a06522, 0xc8eb0fd6, 0x738acc9e,
9254     0xc8bdb485, 0x73752249,
9255   0xc89061ba, 0x735f6626, 0xc863177b, 0x73499838, 0xc835d5d0, 0x7333b883,
9256     0xc8089cbf, 0x731dc70a,
9257   0xc7db6c50, 0x7307c3d0, 0xc7ae4489, 0x72f1aed9, 0xc7812572, 0x72db8828,
9258     0xc7540f11, 0x72c54fc1,
9259   0xc727016d, 0x72af05a7, 0xc6f9fc8d, 0x7298a9dd, 0xc6cd0079, 0x72823c67,
9260     0xc6a00d37, 0x726bbd48,
9261   0xc67322ce, 0x72552c85, 0xc6464144, 0x723e8a20, 0xc61968a2, 0x7227d61c,
9262     0xc5ec98ee, 0x7211107e,
9263   0xc5bfd22e, 0x71fa3949, 0xc593146a, 0x71e35080, 0xc5665fa9, 0x71cc5626,
9264     0xc539b3f1, 0x71b54a41,
9265   0xc50d1149, 0x719e2cd2, 0xc4e077b8, 0x7186fdde, 0xc4b3e746, 0x716fbd68,
9266     0xc4875ff9, 0x71586b74,
9267   0xc45ae1d7, 0x71410805, 0xc42e6ce8, 0x7129931f, 0xc4020133, 0x71120cc5,
9268     0xc3d59ebe, 0x70fa74fc,
9269   0xc3a94590, 0x70e2cbc6, 0xc37cf5b0, 0x70cb1128, 0xc350af26, 0x70b34525,
9270     0xc32471f7, 0x709b67c0,
9271   0xc2f83e2a, 0x708378ff, 0xc2cc13c7, 0x706b78e3, 0xc29ff2d4, 0x70536771,
9272     0xc273db58, 0x703b44ad,
9273   0xc247cd5a, 0x7023109a, 0xc21bc8e1, 0x700acb3c, 0xc1efcdf3, 0x6ff27497,
9274     0xc1c3dc97, 0x6fda0cae,
9275   0xc197f4d4, 0x6fc19385, 0xc16c16b0, 0x6fa90921, 0xc1404233, 0x6f906d84,
9276     0xc1147764, 0x6f77c0b3,
9277   0xc0e8b648, 0x6f5f02b2, 0xc0bcfee7, 0x6f463383, 0xc0915148, 0x6f2d532c,
9278     0xc065ad70, 0x6f1461b0,
9279   0xc03a1368, 0x6efb5f12, 0xc00e8336, 0x6ee24b57, 0xbfe2fcdf, 0x6ec92683,
9280     0xbfb7806c, 0x6eaff099,
9281   0xbf8c0de3, 0x6e96a99d, 0xbf60a54a, 0x6e7d5193, 0xbf3546a8, 0x6e63e87f,
9282     0xbf09f205, 0x6e4a6e66,
9283   0xbedea765, 0x6e30e34a, 0xbeb366d1, 0x6e174730, 0xbe88304f, 0x6dfd9a1c,
9284     0xbe5d03e6, 0x6de3dc11,
9285   0xbe31e19b, 0x6dca0d14, 0xbe06c977, 0x6db02d29, 0xbddbbb7f, 0x6d963c54,
9286     0xbdb0b7bb, 0x6d7c3a98,
9287   0xbd85be30, 0x6d6227fa, 0xbd5acee5, 0x6d48047e, 0xbd2fe9e2, 0x6d2dd027,
9288     0xbd050f2c, 0x6d138afb,
9289   0xbcda3ecb, 0x6cf934fc, 0xbcaf78c4, 0x6cdece2f, 0xbc84bd1f, 0x6cc45698,
9290     0xbc5a0be2, 0x6ca9ce3b,
9291   0xbc2f6513, 0x6c8f351c, 0xbc04c8ba, 0x6c748b3f, 0xbbda36dd, 0x6c59d0a9,
9292     0xbbafaf82, 0x6c3f055d,
9293   0xbb8532b0, 0x6c242960, 0xbb5ac06d, 0x6c093cb6, 0xbb3058c0, 0x6bee3f62,
9294     0xbb05fbb0, 0x6bd3316a,
9295   0xbadba943, 0x6bb812d1, 0xbab16180, 0x6b9ce39b, 0xba87246d, 0x6b81a3cd,
9296     0xba5cf210, 0x6b66536b,
9297   0xba32ca71, 0x6b4af279, 0xba08ad95, 0x6b2f80fb, 0xb9de9b83, 0x6b13fef5,
9298     0xb9b49442, 0x6af86c6c,
9299   0xb98a97d8, 0x6adcc964, 0xb960a64c, 0x6ac115e2, 0xb936bfa4, 0x6aa551e9,
9300     0xb90ce3e6, 0x6a897d7d,
9301   0xb8e31319, 0x6a6d98a4, 0xb8b94d44, 0x6a51a361, 0xb88f926d, 0x6a359db9,
9302     0xb865e299, 0x6a1987b0,
9303   0xb83c3dd1, 0x69fd614a, 0xb812a41a, 0x69e12a8c, 0xb7e9157a, 0x69c4e37a,
9304     0xb7bf91f8, 0x69a88c19,
9305   0xb796199b, 0x698c246c, 0xb76cac69, 0x696fac78, 0xb7434a67, 0x69532442,
9306     0xb719f39e, 0x69368bce,
9307   0xb6f0a812, 0x6919e320, 0xb6c767ca, 0x68fd2a3d, 0xb69e32cd, 0x68e06129,
9308     0xb6750921, 0x68c387e9,
9309   0xb64beacd, 0x68a69e81, 0xb622d7d6, 0x6889a4f6, 0xb5f9d043, 0x686c9b4b,
9310     0xb5d0d41a, 0x684f8186,
9311   0xb5a7e362, 0x683257ab, 0xb57efe22, 0x68151dbe, 0xb556245e, 0x67f7d3c5,
9312     0xb52d561e, 0x67da79c3,
9313   0xb5049368, 0x67bd0fbd, 0xb4dbdc42, 0x679f95b7, 0xb4b330b3, 0x67820bb7,
9314     0xb48a90c0, 0x676471c0,
9315   0xb461fc70, 0x6746c7d8, 0xb43973ca, 0x67290e02, 0xb410f6d3, 0x670b4444,
9316     0xb3e88592, 0x66ed6aa1,
9317   0xb3c0200c, 0x66cf8120, 0xb397c649, 0x66b187c3, 0xb36f784f, 0x66937e91,
9318     0xb3473623, 0x6675658c,
9319   0xb31effcc, 0x66573cbb, 0xb2f6d550, 0x66390422, 0xb2ceb6b5, 0x661abbc5,
9320     0xb2a6a402, 0x65fc63a9,
9321   0xb27e9d3c, 0x65ddfbd3, 0xb256a26a, 0x65bf8447, 0xb22eb392, 0x65a0fd0b,
9322     0xb206d0ba, 0x65826622,
9323   0xb1def9e9, 0x6563bf92, 0xb1b72f23, 0x6545095f, 0xb18f7071, 0x6526438f,
9324     0xb167bdd7, 0x65076e25,
9325   0xb140175b, 0x64e88926, 0xb1187d05, 0x64c99498, 0xb0f0eeda, 0x64aa907f,
9326     0xb0c96ce0, 0x648b7ce0,
9327   0xb0a1f71d, 0x646c59bf, 0xb07a8d97, 0x644d2722, 0xb0533055, 0x642de50d,
9328     0xb02bdf5c, 0x640e9386,
9329   0xb0049ab3, 0x63ef3290, 0xafdd625f, 0x63cfc231, 0xafb63667, 0x63b0426d,
9330     0xaf8f16d1, 0x6390b34a,
9331   0xaf6803a2, 0x637114cc, 0xaf40fce1, 0x635166f9, 0xaf1a0293, 0x6331a9d4,
9332     0xaef314c0, 0x6311dd64,
9333   0xaecc336c, 0x62f201ac, 0xaea55e9e, 0x62d216b3, 0xae7e965b, 0x62b21c7b,
9334     0xae57daab, 0x6292130c,
9335   0xae312b92, 0x6271fa69, 0xae0a8916, 0x6251d298, 0xade3f33e, 0x62319b9d,
9336     0xadbd6a10, 0x6211557e,
9337   0xad96ed92, 0x61f1003f, 0xad707dc8, 0x61d09be5, 0xad4a1aba, 0x61b02876,
9338     0xad23c46e, 0x618fa5f7,
9339   0xacfd7ae8, 0x616f146c, 0xacd73e30, 0x614e73da, 0xacb10e4b, 0x612dc447,
9340     0xac8aeb3e, 0x610d05b7,
9341   0xac64d510, 0x60ec3830, 0xac3ecbc7, 0x60cb5bb7, 0xac18cf69, 0x60aa7050,
9342     0xabf2dffb, 0x60897601,
9343   0xabccfd83, 0x60686ccf, 0xaba72807, 0x604754bf, 0xab815f8d, 0x60262dd6,
9344     0xab5ba41a, 0x6004f819,
9345   0xab35f5b5, 0x5fe3b38d, 0xab105464, 0x5fc26038, 0xaaeac02c, 0x5fa0fe1f,
9346     0xaac53912, 0x5f7f8d46,
9347   0xaa9fbf1e, 0x5f5e0db3, 0xaa7a5253, 0x5f3c7f6b, 0xaa54f2ba, 0x5f1ae274,
9348     0xaa2fa056, 0x5ef936d1,
9349   0xaa0a5b2e, 0x5ed77c8a, 0xa9e52347, 0x5eb5b3a2, 0xa9bff8a8, 0x5e93dc1f,
9350     0xa99adb56, 0x5e71f606,
9351   0xa975cb57, 0x5e50015d, 0xa950c8b0, 0x5e2dfe29, 0xa92bd367, 0x5e0bec6e,
9352     0xa906eb82, 0x5de9cc33,
9353   0xa8e21106, 0x5dc79d7c, 0xa8bd43fa, 0x5da5604f, 0xa8988463, 0x5d8314b1,
9354     0xa873d246, 0x5d60baa7,
9355   0xa84f2daa, 0x5d3e5237, 0xa82a9693, 0x5d1bdb65, 0xa8060d08, 0x5cf95638,
9356     0xa7e1910f, 0x5cd6c2b5,
9357   0xa7bd22ac, 0x5cb420e0, 0xa798c1e5, 0x5c9170bf, 0xa7746ec0, 0x5c6eb258,
9358     0xa7502943, 0x5c4be5b0,
9359   0xa72bf174, 0x5c290acc, 0xa707c757, 0x5c0621b2, 0xa6e3aaf2, 0x5be32a67,
9360     0xa6bf9c4b, 0x5bc024f0,
9361   0xa69b9b68, 0x5b9d1154, 0xa677a84e, 0x5b79ef96, 0xa653c303, 0x5b56bfbd,
9362     0xa62feb8b, 0x5b3381ce,
9363   0xa60c21ee, 0x5b1035cf, 0xa5e8662f, 0x5aecdbc5, 0xa5c4b855, 0x5ac973b5,
9364     0xa5a11866, 0x5aa5fda5,
9365   0xa57d8666, 0x5a82799a, 0xa55a025b, 0x5a5ee79a, 0xa5368c4b, 0x5a3b47ab,
9366     0xa513243b, 0x5a1799d1,
9367   0xa4efca31, 0x59f3de12, 0xa4cc7e32, 0x59d01475, 0xa4a94043, 0x59ac3cfd,
9368     0xa486106a, 0x598857b2,
9369   0xa462eeac, 0x59646498, 0xa43fdb10, 0x594063b5, 0xa41cd599, 0x591c550e,
9370     0xa3f9de4e, 0x58f838a9,
9371   0xa3d6f534, 0x58d40e8c, 0xa3b41a50, 0x58afd6bd, 0xa3914da8, 0x588b9140,
9372     0xa36e8f41, 0x58673e1b,
9373   0xa34bdf20, 0x5842dd54, 0xa3293d4b, 0x581e6ef1, 0xa306a9c8, 0x57f9f2f8,
9374     0xa2e4249b, 0x57d5696d,
9375   0xa2c1adc9, 0x57b0d256, 0xa29f4559, 0x578c2dba, 0xa27ceb4f, 0x57677b9d,
9376     0xa25a9fb1, 0x5742bc06,
9377   0xa2386284, 0x571deefa, 0xa21633cd, 0x56f9147e, 0xa1f41392, 0x56d42c99,
9378     0xa1d201d7, 0x56af3750,
9379   0xa1affea3, 0x568a34a9, 0xa18e09fa, 0x566524aa, 0xa16c23e1, 0x56400758,
9380     0xa14a4c5e, 0x561adcb9,
9381   0xa1288376, 0x55f5a4d2, 0xa106c92f, 0x55d05faa, 0xa0e51d8c, 0x55ab0d46,
9382     0xa0c38095, 0x5585adad,
9383   0xa0a1f24d, 0x556040e2, 0xa08072ba, 0x553ac6ee, 0xa05f01e1, 0x55153fd4,
9384     0xa03d9fc8, 0x54efab9c,
9385   0xa01c4c73, 0x54ca0a4b, 0x9ffb07e7, 0x54a45be6, 0x9fd9d22a, 0x547ea073,
9386     0x9fb8ab41, 0x5458d7f9,
9387   0x9f979331, 0x5433027d, 0x9f7689ff, 0x540d2005, 0x9f558fb0, 0x53e73097,
9388     0x9f34a449, 0x53c13439,
9389   0x9f13c7d0, 0x539b2af0, 0x9ef2fa49, 0x537514c2, 0x9ed23bb9, 0x534ef1b5,
9390     0x9eb18c26, 0x5328c1d0,
9391   0x9e90eb94, 0x53028518, 0x9e705a09, 0x52dc3b92, 0x9e4fd78a, 0x52b5e546,
9392     0x9e2f641b, 0x528f8238,
9393   0x9e0effc1, 0x5269126e, 0x9deeaa82, 0x524295f0, 0x9dce6463, 0x521c0cc2,
9394     0x9dae2d68, 0x51f576ea,
9395   0x9d8e0597, 0x51ced46e, 0x9d6decf4, 0x51a82555, 0x9d4de385, 0x518169a5,
9396     0x9d2de94d, 0x515aa162,
9397   0x9d0dfe54, 0x5133cc94, 0x9cee229c, 0x510ceb40, 0x9cce562c, 0x50e5fd6d,
9398     0x9cae9907, 0x50bf031f,
9399   0x9c8eeb34, 0x5097fc5e, 0x9c6f4cb6, 0x5070e92f, 0x9c4fbd93, 0x5049c999,
9400     0x9c303dcf, 0x50229da1,
9401   0x9c10cd70, 0x4ffb654d, 0x9bf16c7a, 0x4fd420a4, 0x9bd21af3, 0x4faccfab,
9402     0x9bb2d8de, 0x4f857269,
9403   0x9b93a641, 0x4f5e08e3, 0x9b748320, 0x4f369320, 0x9b556f81, 0x4f0f1126,
9404     0x9b366b68, 0x4ee782fb,
9405   0x9b1776da, 0x4ebfe8a5, 0x9af891db, 0x4e984229, 0x9ad9bc71, 0x4e708f8f,
9406     0x9abaf6a1, 0x4e48d0dd,
9407   0x9a9c406e, 0x4e210617, 0x9a7d99de, 0x4df92f46, 0x9a5f02f5, 0x4dd14c6e,
9408     0x9a407bb9, 0x4da95d96,
9409   0x9a22042d, 0x4d8162c4, 0x9a039c57, 0x4d595bfe, 0x99e5443b, 0x4d31494b,
9410     0x99c6fbde, 0x4d092ab0,
9411   0x99a8c345, 0x4ce10034, 0x998a9a74, 0x4cb8c9dd, 0x996c816f, 0x4c9087b1,
9412     0x994e783d, 0x4c6839b7,
9413   0x99307ee0, 0x4c3fdff4, 0x9912955f, 0x4c177a6e, 0x98f4bbbc, 0x4bef092d,
9414     0x98d6f1fe, 0x4bc68c36,
9415   0x98b93828, 0x4b9e0390, 0x989b8e40, 0x4b756f40, 0x987df449, 0x4b4ccf4d,
9416     0x98606a49, 0x4b2423be,
9417   0x9842f043, 0x4afb6c98, 0x9825863d, 0x4ad2a9e2, 0x98082c3b, 0x4aa9dba2,
9418     0x97eae242, 0x4a8101de,
9419   0x97cda855, 0x4a581c9e, 0x97b07e7a, 0x4a2f2be6, 0x979364b5, 0x4a062fbd,
9420     0x97765b0a, 0x49dd282a,
9421   0x9759617f, 0x49b41533, 0x973c7817, 0x498af6df, 0x971f9ed7, 0x4961cd33,
9422     0x9702d5c3, 0x49389836,
9423   0x96e61ce0, 0x490f57ee, 0x96c97432, 0x48e60c62, 0x96acdbbe, 0x48bcb599,
9424     0x96905388, 0x48935397,
9425   0x9673db94, 0x4869e665, 0x965773e7, 0x48406e08, 0x963b1c86, 0x4816ea86,
9426     0x961ed574, 0x47ed5be6,
9427   0x96029eb6, 0x47c3c22f, 0x95e67850, 0x479a1d67, 0x95ca6247, 0x47706d93,
9428     0x95ae5c9f, 0x4746b2bc,
9429   0x9592675c, 0x471cece7, 0x95768283, 0x46f31c1a, 0x955aae17, 0x46c9405c,
9430     0x953eea1e, 0x469f59b4,
9431   0x9523369c, 0x46756828, 0x95079394, 0x464b6bbe, 0x94ec010b, 0x4621647d,
9432     0x94d07f05, 0x45f7526b,
9433   0x94b50d87, 0x45cd358f, 0x9499ac95, 0x45a30df0, 0x947e5c33, 0x4578db93,
9434     0x94631c65, 0x454e9e80,
9435   0x9447ed2f, 0x452456bd, 0x942cce96, 0x44fa0450, 0x9411c09e, 0x44cfa740,
9436     0x93f6c34a, 0x44a53f93,
9437   0x93dbd6a0, 0x447acd50, 0x93c0faa3, 0x4450507e, 0x93a62f57, 0x4425c923,
9438     0x938b74c1, 0x43fb3746,
9439   0x9370cae4, 0x43d09aed, 0x935631c5, 0x43a5f41e, 0x933ba968, 0x437b42e1,
9440     0x932131d1, 0x4350873c,
9441   0x9306cb04, 0x4325c135, 0x92ec7505, 0x42faf0d4, 0x92d22fd9, 0x42d0161e,
9442     0x92b7fb82, 0x42a5311b,
9443   0x929dd806, 0x427a41d0, 0x9283c568, 0x424f4845, 0x9269c3ac, 0x42244481,
9444     0x924fd2d7, 0x41f93689,
9445   0x9235f2ec, 0x41ce1e65, 0x921c23ef, 0x41a2fc1a, 0x920265e4, 0x4177cfb1,
9446     0x91e8b8d0, 0x414c992f,
9447   0x91cf1cb6, 0x4121589b, 0x91b5919a, 0x40f60dfb, 0x919c1781, 0x40cab958,
9448     0x9182ae6d, 0x409f5ab6,
9449   0x91695663, 0x4073f21d, 0x91500f67, 0x40487f94, 0x9136d97d, 0x401d0321,
9450     0x911db4a9, 0x3ff17cca,
9451   0x9104a0ee, 0x3fc5ec98, 0x90eb9e50, 0x3f9a5290, 0x90d2acd4, 0x3f6eaeb8,
9452     0x90b9cc7d, 0x3f430119,
9453   0x90a0fd4e, 0x3f1749b8, 0x90883f4d, 0x3eeb889c, 0x906f927c, 0x3ebfbdcd,
9454     0x9056f6df, 0x3e93e950,
9455   0x903e6c7b, 0x3e680b2c, 0x9025f352, 0x3e3c2369, 0x900d8b69, 0x3e10320d,
9456     0x8ff534c4, 0x3de4371f,
9457   0x8fdcef66, 0x3db832a6, 0x8fc4bb53, 0x3d8c24a8, 0x8fac988f, 0x3d600d2c,
9458     0x8f94871d, 0x3d33ec39,
9459   0x8f7c8701, 0x3d07c1d6, 0x8f649840, 0x3cdb8e09, 0x8f4cbadb, 0x3caf50da,
9460     0x8f34eed8, 0x3c830a50,
9461   0x8f1d343a, 0x3c56ba70, 0x8f058b04, 0x3c2a6142, 0x8eedf33b, 0x3bfdfecd,
9462     0x8ed66ce1, 0x3bd19318,
9463   0x8ebef7fb, 0x3ba51e29, 0x8ea7948c, 0x3b78a007, 0x8e904298, 0x3b4c18ba,
9464     0x8e790222, 0x3b1f8848,
9465   0x8e61d32e, 0x3af2eeb7, 0x8e4ab5bf, 0x3ac64c0f, 0x8e33a9da, 0x3a99a057,
9466     0x8e1caf80, 0x3a6ceb96,
9467   0x8e05c6b7, 0x3a402dd2, 0x8deeef82, 0x3a136712, 0x8dd829e4, 0x39e6975e,
9468     0x8dc175e0, 0x39b9bebc,
9469   0x8daad37b, 0x398cdd32, 0x8d9442b8, 0x395ff2c9, 0x8d7dc399, 0x3932ff87,
9470     0x8d675623, 0x39060373,
9471   0x8d50fa59, 0x38d8fe93, 0x8d3ab03f, 0x38abf0ef, 0x8d2477d8, 0x387eda8e,
9472     0x8d0e5127, 0x3851bb77,
9473   0x8cf83c30, 0x382493b0, 0x8ce238f6, 0x37f76341, 0x8ccc477d, 0x37ca2a30,
9474     0x8cb667c8, 0x379ce885,
9475   0x8ca099da, 0x376f9e46, 0x8c8addb7, 0x37424b7b, 0x8c753362, 0x3714f02a,
9476     0x8c5f9ade, 0x36e78c5b,
9477   0x8c4a142f, 0x36ba2014, 0x8c349f58, 0x368cab5c, 0x8c1f3c5d, 0x365f2e3b,
9478     0x8c09eb40, 0x3631a8b8,
9479   0x8bf4ac05, 0x36041ad9, 0x8bdf7eb0, 0x35d684a6, 0x8bca6343, 0x35a8e625,
9480     0x8bb559c1, 0x357b3f5d,
9481   0x8ba0622f, 0x354d9057, 0x8b8b7c8f, 0x351fd918, 0x8b76a8e4, 0x34f219a8,
9482     0x8b61e733, 0x34c4520d,
9483   0x8b4d377c, 0x34968250, 0x8b3899c6, 0x3468aa76, 0x8b240e11, 0x343aca87,
9484     0x8b0f9462, 0x340ce28b,
9485   0x8afb2cbb, 0x33def287, 0x8ae6d720, 0x33b0fa84, 0x8ad29394, 0x3382fa88,
9486     0x8abe6219, 0x3354f29b,
9487   0x8aaa42b4, 0x3326e2c3, 0x8a963567, 0x32f8cb07, 0x8a823a36, 0x32caab6f,
9488     0x8a6e5123, 0x329c8402,
9489   0x8a5a7a31, 0x326e54c7, 0x8a46b564, 0x32401dc6, 0x8a3302be, 0x3211df04,
9490     0x8a1f6243, 0x31e39889,
9491   0x8a0bd3f5, 0x31b54a5e, 0x89f857d8, 0x3186f487, 0x89e4edef, 0x3158970e,
9492     0x89d1963c, 0x312a31f8,
9493   0x89be50c3, 0x30fbc54d, 0x89ab1d87, 0x30cd5115, 0x8997fc8a, 0x309ed556,
9494     0x8984edcf, 0x30705217,
9495   0x8971f15a, 0x3041c761, 0x895f072e, 0x30133539, 0x894c2f4c, 0x2fe49ba7,
9496     0x893969b9, 0x2fb5fab2,
9497   0x8926b677, 0x2f875262, 0x89141589, 0x2f58a2be, 0x890186f2, 0x2f29ebcc,
9498     0x88ef0ab4, 0x2efb2d95,
9499   0x88dca0d3, 0x2ecc681e, 0x88ca4951, 0x2e9d9b70, 0x88b80432, 0x2e6ec792,
9500     0x88a5d177, 0x2e3fec8b,
9501   0x8893b125, 0x2e110a62, 0x8881a33d, 0x2de2211e, 0x886fa7c2, 0x2db330c7,
9502     0x885dbeb8, 0x2d843964,
9503   0x884be821, 0x2d553afc, 0x883a23ff, 0x2d263596, 0x88287256, 0x2cf72939,
9504     0x8816d327, 0x2cc815ee,
9505   0x88054677, 0x2c98fbba, 0x87f3cc48, 0x2c69daa6, 0x87e2649b, 0x2c3ab2b9,
9506     0x87d10f75, 0x2c0b83fa,
9507   0x87bfccd7, 0x2bdc4e6f, 0x87ae9cc5, 0x2bad1221, 0x879d7f41, 0x2b7dcf17,
9508     0x878c744d, 0x2b4e8558,
9509   0x877b7bec, 0x2b1f34eb, 0x876a9621, 0x2aefddd8, 0x8759c2ef, 0x2ac08026,
9510     0x87490258, 0x2a911bdc,
9511   0x8738545e, 0x2a61b101, 0x8727b905, 0x2a323f9e, 0x8717304e, 0x2a02c7b8,
9512     0x8706ba3d, 0x29d34958,
9513   0x86f656d3, 0x29a3c485, 0x86e60614, 0x29743946, 0x86d5c802, 0x2944a7a2,
9514     0x86c59c9f, 0x29150fa1,
9515   0x86b583ee, 0x28e5714b, 0x86a57df2, 0x28b5cca5, 0x86958aac, 0x288621b9,
9516     0x8685aa20, 0x2856708d,
9517   0x8675dc4f, 0x2826b928, 0x8666213c, 0x27f6fb92, 0x865678eb, 0x27c737d3,
9518     0x8646e35c, 0x27976df1,
9519   0x86376092, 0x27679df4, 0x8627f091, 0x2737c7e3, 0x86189359, 0x2707ebc7,
9520     0x860948ef, 0x26d809a5,
9521   0x85fa1153, 0x26a82186, 0x85eaec88, 0x26783370, 0x85dbda91, 0x26483f6c,
9522     0x85ccdb70, 0x26184581,
9523   0x85bdef28, 0x25e845b6, 0x85af15b9, 0x25b84012, 0x85a04f28, 0x2588349d,
9524     0x85919b76, 0x2558235f,
9525   0x8582faa5, 0x25280c5e, 0x85746cb8, 0x24f7efa2, 0x8565f1b0, 0x24c7cd33,
9526     0x85578991, 0x2497a517,
9527   0x8549345c, 0x24677758, 0x853af214, 0x243743fa, 0x852cc2bb, 0x24070b08,
9528     0x851ea652, 0x23d6cc87,
9529   0x85109cdd, 0x23a6887f, 0x8502a65c, 0x23763ef7, 0x84f4c2d4, 0x2345eff8,
9530     0x84e6f244, 0x23159b88,
9531   0x84d934b1, 0x22e541af, 0x84cb8a1b, 0x22b4e274, 0x84bdf286, 0x22847de0,
9532     0x84b06df2, 0x225413f8,
9533   0x84a2fc62, 0x2223a4c5, 0x84959dd9, 0x21f3304f, 0x84885258, 0x21c2b69c,
9534     0x847b19e1, 0x219237b5,
9535   0x846df477, 0x2161b3a0, 0x8460e21a, 0x21312a65, 0x8453e2cf, 0x21009c0c,
9536     0x8446f695, 0x20d0089c,
9537   0x843a1d70, 0x209f701c, 0x842d5762, 0x206ed295, 0x8420a46c, 0x203e300d,
9538     0x84140490, 0x200d888d,
9539   0x840777d0, 0x1fdcdc1b, 0x83fafe2e, 0x1fac2abf, 0x83ee97ad, 0x1f7b7481,
9540     0x83e2444d, 0x1f4ab968,
9541   0x83d60412, 0x1f19f97b, 0x83c9d6fc, 0x1ee934c3, 0x83bdbd0e, 0x1eb86b46,
9542     0x83b1b649, 0x1e879d0d,
9543   0x83a5c2b0, 0x1e56ca1e, 0x8399e244, 0x1e25f282, 0x838e1507, 0x1df5163f,
9544     0x83825afb, 0x1dc4355e,
9545   0x8376b422, 0x1d934fe5, 0x836b207d, 0x1d6265dd, 0x835fa00f, 0x1d31774d,
9546     0x835432d8, 0x1d00843d,
9547   0x8348d8dc, 0x1ccf8cb3, 0x833d921b, 0x1c9e90b8, 0x83325e97, 0x1c6d9053,
9548     0x83273e52, 0x1c3c8b8c,
9549   0x831c314e, 0x1c0b826a, 0x8311378d, 0x1bda74f6, 0x83065110, 0x1ba96335,
9550     0x82fb7dd8, 0x1b784d30,
9551   0x82f0bde8, 0x1b4732ef, 0x82e61141, 0x1b161479, 0x82db77e5, 0x1ae4f1d6,
9552     0x82d0f1d5, 0x1ab3cb0d,
9553   0x82c67f14, 0x1a82a026, 0x82bc1fa2, 0x1a517128, 0x82b1d381, 0x1a203e1b,
9554     0x82a79ab3, 0x19ef0707,
9555   0x829d753a, 0x19bdcbf3, 0x82936317, 0x198c8ce7, 0x8289644b, 0x195b49ea,
9556     0x827f78d8, 0x192a0304,
9557   0x8275a0c0, 0x18f8b83c, 0x826bdc04, 0x18c7699b, 0x82622aa6, 0x18961728,
9558     0x82588ca7, 0x1864c0ea,
9559   0x824f0208, 0x183366e9, 0x82458acc, 0x1802092c, 0x823c26f3, 0x17d0a7bc,
9560     0x8232d67f, 0x179f429f,
9561   0x82299971, 0x176dd9de, 0x82206fcc, 0x173c6d80, 0x82175990, 0x170afd8d,
9562     0x820e56be, 0x16d98a0c,
9563   0x82056758, 0x16a81305, 0x81fc8b60, 0x1676987f, 0x81f3c2d7, 0x16451a83,
9564     0x81eb0dbe, 0x16139918,
9565   0x81e26c16, 0x15e21445, 0x81d9dde1, 0x15b08c12, 0x81d16321, 0x157f0086,
9566     0x81c8fbd6, 0x154d71aa,
9567   0x81c0a801, 0x151bdf86, 0x81b867a5, 0x14ea4a1f, 0x81b03ac2, 0x14b8b17f,
9568     0x81a82159, 0x148715ae,
9569   0x81a01b6d, 0x145576b1, 0x819828fd, 0x1423d492, 0x81904a0c, 0x13f22f58,
9570     0x81887e9a, 0x13c0870a,
9571   0x8180c6a9, 0x138edbb1, 0x8179223a, 0x135d2d53, 0x8171914e, 0x132b7bf9,
9572     0x816a13e6, 0x12f9c7aa,
9573   0x8162aa04, 0x12c8106f, 0x815b53a8, 0x1296564d, 0x815410d4, 0x1264994e,
9574     0x814ce188, 0x1232d979,
9575   0x8145c5c7, 0x120116d5, 0x813ebd90, 0x11cf516a, 0x8137c8e6, 0x119d8941,
9576     0x8130e7c9, 0x116bbe60,
9577   0x812a1a3a, 0x1139f0cf, 0x8123603a, 0x11082096, 0x811cb9ca, 0x10d64dbd,
9578     0x811626ec, 0x10a4784b,
9579   0x810fa7a0, 0x1072a048, 0x81093be8, 0x1040c5bb, 0x8102e3c4, 0x100ee8ad,
9580     0x80fc9f35, 0xfdd0926,
9581   0x80f66e3c, 0xfab272b, 0x80f050db, 0xf7942c7, 0x80ea4712, 0xf475bff,
9582     0x80e450e2, 0xf1572dc,
9583   0x80de6e4c, 0xee38766, 0x80d89f51, 0xeb199a4, 0x80d2e3f2, 0xe7fa99e,
9584     0x80cd3c2f, 0xe4db75b,
9585   0x80c7a80a, 0xe1bc2e4, 0x80c22784, 0xde9cc40, 0x80bcba9d, 0xdb7d376,
9586     0x80b76156, 0xd85d88f,
9587   0x80b21baf, 0xd53db92, 0x80ace9ab, 0xd21dc87, 0x80a7cb49, 0xcefdb76,
9588     0x80a2c08b, 0xcbdd865,
9589   0x809dc971, 0xc8bd35e, 0x8098e5fb, 0xc59cc68, 0x8094162c, 0xc27c389,
9590     0x808f5a02, 0xbf5b8cb,
9591   0x808ab180, 0xbc3ac35, 0x80861ca6, 0xb919dcf, 0x80819b74, 0xb5f8d9f,
9592     0x807d2dec, 0xb2d7baf,
9593   0x8078d40d, 0xafb6805, 0x80748dd9, 0xac952aa, 0x80705b50, 0xa973ba5,
9594     0x806c3c74, 0xa6522fe,
9595   0x80683143, 0xa3308bd, 0x806439c0, 0xa00ece8, 0x806055eb, 0x9cecf89,
9596     0x805c85c4, 0x99cb0a7,
9597   0x8058c94c, 0x96a9049, 0x80552084, 0x9386e78, 0x80518b6b, 0x9064b3a,
9598     0x804e0a04, 0x8d42699,
9599   0x804a9c4d, 0x8a2009a, 0x80474248, 0x86fd947, 0x8043fbf6, 0x83db0a7,
9600     0x8040c956, 0x80b86c2,
9601   0x803daa6a, 0x7d95b9e, 0x803a9f31, 0x7a72f45, 0x8037a7ac, 0x77501be,
9602     0x8034c3dd, 0x742d311,
9603   0x8031f3c2, 0x710a345, 0x802f375d, 0x6de7262, 0x802c8ead, 0x6ac406f,
9604     0x8029f9b4, 0x67a0d76,
9605   0x80277872, 0x647d97c, 0x80250ae7, 0x615a48b, 0x8022b114, 0x5e36ea9,
9606     0x80206af8, 0x5b137df,
9607   0x801e3895, 0x57f0035, 0x801c19ea, 0x54cc7b1, 0x801a0ef8, 0x51a8e5c,
9608     0x801817bf, 0x4e8543e,
9609   0x80163440, 0x4b6195d, 0x8014647b, 0x483ddc3, 0x8012a86f, 0x451a177,
9610     0x8011001f, 0x41f6480,
9611   0x800f6b88, 0x3ed26e6, 0x800deaad, 0x3bae8b2, 0x800c7d8c, 0x388a9ea,
9612     0x800b2427, 0x3566a96,
9613   0x8009de7e, 0x3242abf, 0x8008ac90, 0x2f1ea6c, 0x80078e5e, 0x2bfa9a4,
9614     0x800683e8, 0x28d6870,
9615   0x80058d2f, 0x25b26d7, 0x8004aa32, 0x228e4e2, 0x8003daf1, 0x1f6a297,
9616     0x80031f6d, 0x1c45ffe,
9617   0x800277a6, 0x1921d20, 0x8001e39b, 0x15fda03, 0x8001634e, 0x12d96b1,
9618     0x8000f6bd, 0xfb5330,
9619   0x80009dea, 0xc90f88, 0x800058d4, 0x96cbc1, 0x8000277a, 0x6487e3,
9620     0x800009df, 0x3243f5,
9621   0x80000000, 0x0, 0x800009df, 0xffcdbc0b, 0x8000277a, 0xff9b781d, 0x800058d4,
9622     0xff69343f,
9623   0x80009dea, 0xff36f078, 0x8000f6bd, 0xff04acd0, 0x8001634e, 0xfed2694f,
9624     0x8001e39b, 0xfea025fd,
9625   0x800277a6, 0xfe6de2e0, 0x80031f6d, 0xfe3ba002, 0x8003daf1, 0xfe095d69,
9626     0x8004aa32, 0xfdd71b1e,
9627   0x80058d2f, 0xfda4d929, 0x800683e8, 0xfd729790, 0x80078e5e, 0xfd40565c,
9628     0x8008ac90, 0xfd0e1594,
9629   0x8009de7e, 0xfcdbd541, 0x800b2427, 0xfca9956a, 0x800c7d8c, 0xfc775616,
9630     0x800deaad, 0xfc45174e,
9631   0x800f6b88, 0xfc12d91a, 0x8011001f, 0xfbe09b80, 0x8012a86f, 0xfbae5e89,
9632     0x8014647b, 0xfb7c223d,
9633   0x80163440, 0xfb49e6a3, 0x801817bf, 0xfb17abc2, 0x801a0ef8, 0xfae571a4,
9634     0x801c19ea, 0xfab3384f,
9635   0x801e3895, 0xfa80ffcb, 0x80206af8, 0xfa4ec821, 0x8022b114, 0xfa1c9157,
9636     0x80250ae7, 0xf9ea5b75,
9637   0x80277872, 0xf9b82684, 0x8029f9b4, 0xf985f28a, 0x802c8ead, 0xf953bf91,
9638     0x802f375d, 0xf9218d9e,
9639   0x8031f3c2, 0xf8ef5cbb, 0x8034c3dd, 0xf8bd2cef, 0x8037a7ac, 0xf88afe42,
9640     0x803a9f31, 0xf858d0bb,
9641   0x803daa6a, 0xf826a462, 0x8040c956, 0xf7f4793e, 0x8043fbf6, 0xf7c24f59,
9642     0x80474248, 0xf79026b9,
9643   0x804a9c4d, 0xf75dff66, 0x804e0a04, 0xf72bd967, 0x80518b6b, 0xf6f9b4c6,
9644     0x80552084, 0xf6c79188,
9645   0x8058c94c, 0xf6956fb7, 0x805c85c4, 0xf6634f59, 0x806055eb, 0xf6313077,
9646     0x806439c0, 0xf5ff1318,
9647   0x80683143, 0xf5ccf743, 0x806c3c74, 0xf59add02, 0x80705b50, 0xf568c45b,
9648     0x80748dd9, 0xf536ad56,
9649   0x8078d40d, 0xf50497fb, 0x807d2dec, 0xf4d28451, 0x80819b74, 0xf4a07261,
9650     0x80861ca6, 0xf46e6231,
9651   0x808ab180, 0xf43c53cb, 0x808f5a02, 0xf40a4735, 0x8094162c, 0xf3d83c77,
9652     0x8098e5fb, 0xf3a63398,
9653   0x809dc971, 0xf3742ca2, 0x80a2c08b, 0xf342279b, 0x80a7cb49, 0xf310248a,
9654     0x80ace9ab, 0xf2de2379,
9655   0x80b21baf, 0xf2ac246e, 0x80b76156, 0xf27a2771, 0x80bcba9d, 0xf2482c8a,
9656     0x80c22784, 0xf21633c0,
9657   0x80c7a80a, 0xf1e43d1c, 0x80cd3c2f, 0xf1b248a5, 0x80d2e3f2, 0xf1805662,
9658     0x80d89f51, 0xf14e665c,
9659   0x80de6e4c, 0xf11c789a, 0x80e450e2, 0xf0ea8d24, 0x80ea4712, 0xf0b8a401,
9660     0x80f050db, 0xf086bd39,
9661   0x80f66e3c, 0xf054d8d5, 0x80fc9f35, 0xf022f6da, 0x8102e3c4, 0xeff11753,
9662     0x81093be8, 0xefbf3a45,
9663   0x810fa7a0, 0xef8d5fb8, 0x811626ec, 0xef5b87b5, 0x811cb9ca, 0xef29b243,
9664     0x8123603a, 0xeef7df6a,
9665   0x812a1a3a, 0xeec60f31, 0x8130e7c9, 0xee9441a0, 0x8137c8e6, 0xee6276bf,
9666     0x813ebd90, 0xee30ae96,
9667   0x8145c5c7, 0xedfee92b, 0x814ce188, 0xedcd2687, 0x815410d4, 0xed9b66b2,
9668     0x815b53a8, 0xed69a9b3,
9669   0x8162aa04, 0xed37ef91, 0x816a13e6, 0xed063856, 0x8171914e, 0xecd48407,
9670     0x8179223a, 0xeca2d2ad,
9671   0x8180c6a9, 0xec71244f, 0x81887e9a, 0xec3f78f6, 0x81904a0c, 0xec0dd0a8,
9672     0x819828fd, 0xebdc2b6e,
9673   0x81a01b6d, 0xebaa894f, 0x81a82159, 0xeb78ea52, 0x81b03ac2, 0xeb474e81,
9674     0x81b867a5, 0xeb15b5e1,
9675   0x81c0a801, 0xeae4207a, 0x81c8fbd6, 0xeab28e56, 0x81d16321, 0xea80ff7a,
9676     0x81d9dde1, 0xea4f73ee,
9677   0x81e26c16, 0xea1debbb, 0x81eb0dbe, 0xe9ec66e8, 0x81f3c2d7, 0xe9bae57d,
9678     0x81fc8b60, 0xe9896781,
9679   0x82056758, 0xe957ecfb, 0x820e56be, 0xe92675f4, 0x82175990, 0xe8f50273,
9680     0x82206fcc, 0xe8c39280,
9681   0x82299971, 0xe8922622, 0x8232d67f, 0xe860bd61, 0x823c26f3, 0xe82f5844,
9682     0x82458acc, 0xe7fdf6d4,
9683   0x824f0208, 0xe7cc9917, 0x82588ca7, 0xe79b3f16, 0x82622aa6, 0xe769e8d8,
9684     0x826bdc04, 0xe7389665,
9685   0x8275a0c0, 0xe70747c4, 0x827f78d8, 0xe6d5fcfc, 0x8289644b, 0xe6a4b616,
9686     0x82936317, 0xe6737319,
9687   0x829d753a, 0xe642340d, 0x82a79ab3, 0xe610f8f9, 0x82b1d381, 0xe5dfc1e5,
9688     0x82bc1fa2, 0xe5ae8ed8,
9689   0x82c67f14, 0xe57d5fda, 0x82d0f1d5, 0xe54c34f3, 0x82db77e5, 0xe51b0e2a,
9690     0x82e61141, 0xe4e9eb87,
9691   0x82f0bde8, 0xe4b8cd11, 0x82fb7dd8, 0xe487b2d0, 0x83065110, 0xe4569ccb,
9692     0x8311378d, 0xe4258b0a,
9693   0x831c314e, 0xe3f47d96, 0x83273e52, 0xe3c37474, 0x83325e97, 0xe3926fad,
9694     0x833d921b, 0xe3616f48,
9695   0x8348d8dc, 0xe330734d, 0x835432d8, 0xe2ff7bc3, 0x835fa00f, 0xe2ce88b3,
9696     0x836b207d, 0xe29d9a23,
9697   0x8376b422, 0xe26cb01b, 0x83825afb, 0xe23bcaa2, 0x838e1507, 0xe20ae9c1,
9698     0x8399e244, 0xe1da0d7e,
9699   0x83a5c2b0, 0xe1a935e2, 0x83b1b649, 0xe17862f3, 0x83bdbd0e, 0xe14794ba,
9700     0x83c9d6fc, 0xe116cb3d,
9701   0x83d60412, 0xe0e60685, 0x83e2444d, 0xe0b54698, 0x83ee97ad, 0xe0848b7f,
9702     0x83fafe2e, 0xe053d541,
9703   0x840777d0, 0xe02323e5, 0x84140490, 0xdff27773, 0x8420a46c, 0xdfc1cff3,
9704     0x842d5762, 0xdf912d6b,
9705   0x843a1d70, 0xdf608fe4, 0x8446f695, 0xdf2ff764, 0x8453e2cf, 0xdeff63f4,
9706     0x8460e21a, 0xdeced59b,
9707   0x846df477, 0xde9e4c60, 0x847b19e1, 0xde6dc84b, 0x84885258, 0xde3d4964,
9708     0x84959dd9, 0xde0ccfb1,
9709   0x84a2fc62, 0xdddc5b3b, 0x84b06df2, 0xddabec08, 0x84bdf286, 0xdd7b8220,
9710     0x84cb8a1b, 0xdd4b1d8c,
9711   0x84d934b1, 0xdd1abe51, 0x84e6f244, 0xdcea6478, 0x84f4c2d4, 0xdcba1008,
9712     0x8502a65c, 0xdc89c109,
9713   0x85109cdd, 0xdc597781, 0x851ea652, 0xdc293379, 0x852cc2bb, 0xdbf8f4f8,
9714     0x853af214, 0xdbc8bc06,
9715   0x8549345c, 0xdb9888a8, 0x85578991, 0xdb685ae9, 0x8565f1b0, 0xdb3832cd,
9716     0x85746cb8, 0xdb08105e,
9717   0x8582faa5, 0xdad7f3a2, 0x85919b76, 0xdaa7dca1, 0x85a04f28, 0xda77cb63,
9718     0x85af15b9, 0xda47bfee,
9719   0x85bdef28, 0xda17ba4a, 0x85ccdb70, 0xd9e7ba7f, 0x85dbda91, 0xd9b7c094,
9720     0x85eaec88, 0xd987cc90,
9721   0x85fa1153, 0xd957de7a, 0x860948ef, 0xd927f65b, 0x86189359, 0xd8f81439,
9722     0x8627f091, 0xd8c8381d,
9723   0x86376092, 0xd898620c, 0x8646e35c, 0xd868920f, 0x865678eb, 0xd838c82d,
9724     0x8666213c, 0xd809046e,
9725   0x8675dc4f, 0xd7d946d8, 0x8685aa20, 0xd7a98f73, 0x86958aac, 0xd779de47,
9726     0x86a57df2, 0xd74a335b,
9727   0x86b583ee, 0xd71a8eb5, 0x86c59c9f, 0xd6eaf05f, 0x86d5c802, 0xd6bb585e,
9728     0x86e60614, 0xd68bc6ba,
9729   0x86f656d3, 0xd65c3b7b, 0x8706ba3d, 0xd62cb6a8, 0x8717304e, 0xd5fd3848,
9730     0x8727b905, 0xd5cdc062,
9731   0x8738545e, 0xd59e4eff, 0x87490258, 0xd56ee424, 0x8759c2ef, 0xd53f7fda,
9732     0x876a9621, 0xd5102228,
9733   0x877b7bec, 0xd4e0cb15, 0x878c744d, 0xd4b17aa8, 0x879d7f41, 0xd48230e9,
9734     0x87ae9cc5, 0xd452eddf,
9735   0x87bfccd7, 0xd423b191, 0x87d10f75, 0xd3f47c06, 0x87e2649b, 0xd3c54d47,
9736     0x87f3cc48, 0xd396255a,
9737   0x88054677, 0xd3670446, 0x8816d327, 0xd337ea12, 0x88287256, 0xd308d6c7,
9738     0x883a23ff, 0xd2d9ca6a,
9739   0x884be821, 0xd2aac504, 0x885dbeb8, 0xd27bc69c, 0x886fa7c2, 0xd24ccf39,
9740     0x8881a33d, 0xd21ddee2,
9741   0x8893b125, 0xd1eef59e, 0x88a5d177, 0xd1c01375, 0x88b80432, 0xd191386e,
9742     0x88ca4951, 0xd1626490,
9743   0x88dca0d3, 0xd13397e2, 0x88ef0ab4, 0xd104d26b, 0x890186f2, 0xd0d61434,
9744     0x89141589, 0xd0a75d42,
9745   0x8926b677, 0xd078ad9e, 0x893969b9, 0xd04a054e, 0x894c2f4c, 0xd01b6459,
9746     0x895f072e, 0xcfeccac7,
9747   0x8971f15a, 0xcfbe389f, 0x8984edcf, 0xcf8fade9, 0x8997fc8a, 0xcf612aaa,
9748     0x89ab1d87, 0xcf32aeeb,
9749   0x89be50c3, 0xcf043ab3, 0x89d1963c, 0xced5ce08, 0x89e4edef, 0xcea768f2,
9750     0x89f857d8, 0xce790b79,
9751   0x8a0bd3f5, 0xce4ab5a2, 0x8a1f6243, 0xce1c6777, 0x8a3302be, 0xcdee20fc,
9752     0x8a46b564, 0xcdbfe23a,
9753   0x8a5a7a31, 0xcd91ab39, 0x8a6e5123, 0xcd637bfe, 0x8a823a36, 0xcd355491,
9754     0x8a963567, 0xcd0734f9,
9755   0x8aaa42b4, 0xccd91d3d, 0x8abe6219, 0xccab0d65, 0x8ad29394, 0xcc7d0578,
9756     0x8ae6d720, 0xcc4f057c,
9757   0x8afb2cbb, 0xcc210d79, 0x8b0f9462, 0xcbf31d75, 0x8b240e11, 0xcbc53579,
9758     0x8b3899c6, 0xcb97558a,
9759   0x8b4d377c, 0xcb697db0, 0x8b61e733, 0xcb3badf3, 0x8b76a8e4, 0xcb0de658,
9760     0x8b8b7c8f, 0xcae026e8,
9761   0x8ba0622f, 0xcab26fa9, 0x8bb559c1, 0xca84c0a3, 0x8bca6343, 0xca5719db,
9762     0x8bdf7eb0, 0xca297b5a,
9763   0x8bf4ac05, 0xc9fbe527, 0x8c09eb40, 0xc9ce5748, 0x8c1f3c5d, 0xc9a0d1c5,
9764     0x8c349f58, 0xc97354a4,
9765   0x8c4a142f, 0xc945dfec, 0x8c5f9ade, 0xc91873a5, 0x8c753362, 0xc8eb0fd6,
9766     0x8c8addb7, 0xc8bdb485,
9767   0x8ca099da, 0xc89061ba, 0x8cb667c8, 0xc863177b, 0x8ccc477d, 0xc835d5d0,
9768     0x8ce238f6, 0xc8089cbf,
9769   0x8cf83c30, 0xc7db6c50, 0x8d0e5127, 0xc7ae4489, 0x8d2477d8, 0xc7812572,
9770     0x8d3ab03f, 0xc7540f11,
9771   0x8d50fa59, 0xc727016d, 0x8d675623, 0xc6f9fc8d, 0x8d7dc399, 0xc6cd0079,
9772     0x8d9442b8, 0xc6a00d37,
9773   0x8daad37b, 0xc67322ce, 0x8dc175e0, 0xc6464144, 0x8dd829e4, 0xc61968a2,
9774     0x8deeef82, 0xc5ec98ee,
9775   0x8e05c6b7, 0xc5bfd22e, 0x8e1caf80, 0xc593146a, 0x8e33a9da, 0xc5665fa9,
9776     0x8e4ab5bf, 0xc539b3f1,
9777   0x8e61d32e, 0xc50d1149, 0x8e790222, 0xc4e077b8, 0x8e904298, 0xc4b3e746,
9778     0x8ea7948c, 0xc4875ff9,
9779   0x8ebef7fb, 0xc45ae1d7, 0x8ed66ce1, 0xc42e6ce8, 0x8eedf33b, 0xc4020133,
9780     0x8f058b04, 0xc3d59ebe,
9781   0x8f1d343a, 0xc3a94590, 0x8f34eed8, 0xc37cf5b0, 0x8f4cbadb, 0xc350af26,
9782     0x8f649840, 0xc32471f7,
9783   0x8f7c8701, 0xc2f83e2a, 0x8f94871d, 0xc2cc13c7, 0x8fac988f, 0xc29ff2d4,
9784     0x8fc4bb53, 0xc273db58,
9785   0x8fdcef66, 0xc247cd5a, 0x8ff534c4, 0xc21bc8e1, 0x900d8b69, 0xc1efcdf3,
9786     0x9025f352, 0xc1c3dc97,
9787   0x903e6c7b, 0xc197f4d4, 0x9056f6df, 0xc16c16b0, 0x906f927c, 0xc1404233,
9788     0x90883f4d, 0xc1147764,
9789   0x90a0fd4e, 0xc0e8b648, 0x90b9cc7d, 0xc0bcfee7, 0x90d2acd4, 0xc0915148,
9790     0x90eb9e50, 0xc065ad70,
9791   0x9104a0ee, 0xc03a1368, 0x911db4a9, 0xc00e8336, 0x9136d97d, 0xbfe2fcdf,
9792     0x91500f67, 0xbfb7806c,
9793   0x91695663, 0xbf8c0de3, 0x9182ae6d, 0xbf60a54a, 0x919c1781, 0xbf3546a8,
9794     0x91b5919a, 0xbf09f205,
9795   0x91cf1cb6, 0xbedea765, 0x91e8b8d0, 0xbeb366d1, 0x920265e4, 0xbe88304f,
9796     0x921c23ef, 0xbe5d03e6,
9797   0x9235f2ec, 0xbe31e19b, 0x924fd2d7, 0xbe06c977, 0x9269c3ac, 0xbddbbb7f,
9798     0x9283c568, 0xbdb0b7bb,
9799   0x929dd806, 0xbd85be30, 0x92b7fb82, 0xbd5acee5, 0x92d22fd9, 0xbd2fe9e2,
9800     0x92ec7505, 0xbd050f2c,
9801   0x9306cb04, 0xbcda3ecb, 0x932131d1, 0xbcaf78c4, 0x933ba968, 0xbc84bd1f,
9802     0x935631c5, 0xbc5a0be2,
9803   0x9370cae4, 0xbc2f6513, 0x938b74c1, 0xbc04c8ba, 0x93a62f57, 0xbbda36dd,
9804     0x93c0faa3, 0xbbafaf82,
9805   0x93dbd6a0, 0xbb8532b0, 0x93f6c34a, 0xbb5ac06d, 0x9411c09e, 0xbb3058c0,
9806     0x942cce96, 0xbb05fbb0,
9807   0x9447ed2f, 0xbadba943, 0x94631c65, 0xbab16180, 0x947e5c33, 0xba87246d,
9808     0x9499ac95, 0xba5cf210,
9809   0x94b50d87, 0xba32ca71, 0x94d07f05, 0xba08ad95, 0x94ec010b, 0xb9de9b83,
9810     0x95079394, 0xb9b49442,
9811   0x9523369c, 0xb98a97d8, 0x953eea1e, 0xb960a64c, 0x955aae17, 0xb936bfa4,
9812     0x95768283, 0xb90ce3e6,
9813   0x9592675c, 0xb8e31319, 0x95ae5c9f, 0xb8b94d44, 0x95ca6247, 0xb88f926d,
9814     0x95e67850, 0xb865e299,
9815   0x96029eb6, 0xb83c3dd1, 0x961ed574, 0xb812a41a, 0x963b1c86, 0xb7e9157a,
9816     0x965773e7, 0xb7bf91f8,
9817   0x9673db94, 0xb796199b, 0x96905388, 0xb76cac69, 0x96acdbbe, 0xb7434a67,
9818     0x96c97432, 0xb719f39e,
9819   0x96e61ce0, 0xb6f0a812, 0x9702d5c3, 0xb6c767ca, 0x971f9ed7, 0xb69e32cd,
9820     0x973c7817, 0xb6750921,
9821   0x9759617f, 0xb64beacd, 0x97765b0a, 0xb622d7d6, 0x979364b5, 0xb5f9d043,
9822     0x97b07e7a, 0xb5d0d41a,
9823   0x97cda855, 0xb5a7e362, 0x97eae242, 0xb57efe22, 0x98082c3b, 0xb556245e,
9824     0x9825863d, 0xb52d561e,
9825   0x9842f043, 0xb5049368, 0x98606a49, 0xb4dbdc42, 0x987df449, 0xb4b330b3,
9826     0x989b8e40, 0xb48a90c0,
9827   0x98b93828, 0xb461fc70, 0x98d6f1fe, 0xb43973ca, 0x98f4bbbc, 0xb410f6d3,
9828     0x9912955f, 0xb3e88592,
9829   0x99307ee0, 0xb3c0200c, 0x994e783d, 0xb397c649, 0x996c816f, 0xb36f784f,
9830     0x998a9a74, 0xb3473623,
9831   0x99a8c345, 0xb31effcc, 0x99c6fbde, 0xb2f6d550, 0x99e5443b, 0xb2ceb6b5,
9832     0x9a039c57, 0xb2a6a402,
9833   0x9a22042d, 0xb27e9d3c, 0x9a407bb9, 0xb256a26a, 0x9a5f02f5, 0xb22eb392,
9834     0x9a7d99de, 0xb206d0ba,
9835   0x9a9c406e, 0xb1def9e9, 0x9abaf6a1, 0xb1b72f23, 0x9ad9bc71, 0xb18f7071,
9836     0x9af891db, 0xb167bdd7,
9837   0x9b1776da, 0xb140175b, 0x9b366b68, 0xb1187d05, 0x9b556f81, 0xb0f0eeda,
9838     0x9b748320, 0xb0c96ce0,
9839   0x9b93a641, 0xb0a1f71d, 0x9bb2d8de, 0xb07a8d97, 0x9bd21af3, 0xb0533055,
9840     0x9bf16c7a, 0xb02bdf5c,
9841   0x9c10cd70, 0xb0049ab3, 0x9c303dcf, 0xafdd625f, 0x9c4fbd93, 0xafb63667,
9842     0x9c6f4cb6, 0xaf8f16d1,
9843   0x9c8eeb34, 0xaf6803a2, 0x9cae9907, 0xaf40fce1, 0x9cce562c, 0xaf1a0293,
9844     0x9cee229c, 0xaef314c0,
9845   0x9d0dfe54, 0xaecc336c, 0x9d2de94d, 0xaea55e9e, 0x9d4de385, 0xae7e965b,
9846     0x9d6decf4, 0xae57daab,
9847   0x9d8e0597, 0xae312b92, 0x9dae2d68, 0xae0a8916, 0x9dce6463, 0xade3f33e,
9848     0x9deeaa82, 0xadbd6a10,
9849   0x9e0effc1, 0xad96ed92, 0x9e2f641b, 0xad707dc8, 0x9e4fd78a, 0xad4a1aba,
9850     0x9e705a09, 0xad23c46e,
9851   0x9e90eb94, 0xacfd7ae8, 0x9eb18c26, 0xacd73e30, 0x9ed23bb9, 0xacb10e4b,
9852     0x9ef2fa49, 0xac8aeb3e,
9853   0x9f13c7d0, 0xac64d510, 0x9f34a449, 0xac3ecbc7, 0x9f558fb0, 0xac18cf69,
9854     0x9f7689ff, 0xabf2dffb,
9855   0x9f979331, 0xabccfd83, 0x9fb8ab41, 0xaba72807, 0x9fd9d22a, 0xab815f8d,
9856     0x9ffb07e7, 0xab5ba41a,
9857   0xa01c4c73, 0xab35f5b5, 0xa03d9fc8, 0xab105464, 0xa05f01e1, 0xaaeac02c,
9858     0xa08072ba, 0xaac53912,
9859   0xa0a1f24d, 0xaa9fbf1e, 0xa0c38095, 0xaa7a5253, 0xa0e51d8c, 0xaa54f2ba,
9860     0xa106c92f, 0xaa2fa056,
9861   0xa1288376, 0xaa0a5b2e, 0xa14a4c5e, 0xa9e52347, 0xa16c23e1, 0xa9bff8a8,
9862     0xa18e09fa, 0xa99adb56,
9863   0xa1affea3, 0xa975cb57, 0xa1d201d7, 0xa950c8b0, 0xa1f41392, 0xa92bd367,
9864     0xa21633cd, 0xa906eb82,
9865   0xa2386284, 0xa8e21106, 0xa25a9fb1, 0xa8bd43fa, 0xa27ceb4f, 0xa8988463,
9866     0xa29f4559, 0xa873d246,
9867   0xa2c1adc9, 0xa84f2daa, 0xa2e4249b, 0xa82a9693, 0xa306a9c8, 0xa8060d08,
9868     0xa3293d4b, 0xa7e1910f,
9869   0xa34bdf20, 0xa7bd22ac, 0xa36e8f41, 0xa798c1e5, 0xa3914da8, 0xa7746ec0,
9870     0xa3b41a50, 0xa7502943,
9871   0xa3d6f534, 0xa72bf174, 0xa3f9de4e, 0xa707c757, 0xa41cd599, 0xa6e3aaf2,
9872     0xa43fdb10, 0xa6bf9c4b,
9873   0xa462eeac, 0xa69b9b68, 0xa486106a, 0xa677a84e, 0xa4a94043, 0xa653c303,
9874     0xa4cc7e32, 0xa62feb8b,
9875   0xa4efca31, 0xa60c21ee, 0xa513243b, 0xa5e8662f, 0xa5368c4b, 0xa5c4b855,
9876     0xa55a025b, 0xa5a11866,
9877   0xa57d8666, 0xa57d8666, 0xa5a11866, 0xa55a025b, 0xa5c4b855, 0xa5368c4b,
9878     0xa5e8662f, 0xa513243b,
9879   0xa60c21ee, 0xa4efca31, 0xa62feb8b, 0xa4cc7e32, 0xa653c303, 0xa4a94043,
9880     0xa677a84e, 0xa486106a,
9881   0xa69b9b68, 0xa462eeac, 0xa6bf9c4b, 0xa43fdb10, 0xa6e3aaf2, 0xa41cd599,
9882     0xa707c757, 0xa3f9de4e,
9883   0xa72bf174, 0xa3d6f534, 0xa7502943, 0xa3b41a50, 0xa7746ec0, 0xa3914da8,
9884     0xa798c1e5, 0xa36e8f41,
9885   0xa7bd22ac, 0xa34bdf20, 0xa7e1910f, 0xa3293d4b, 0xa8060d08, 0xa306a9c8,
9886     0xa82a9693, 0xa2e4249b,
9887   0xa84f2daa, 0xa2c1adc9, 0xa873d246, 0xa29f4559, 0xa8988463, 0xa27ceb4f,
9888     0xa8bd43fa, 0xa25a9fb1,
9889   0xa8e21106, 0xa2386284, 0xa906eb82, 0xa21633cd, 0xa92bd367, 0xa1f41392,
9890     0xa950c8b0, 0xa1d201d7,
9891   0xa975cb57, 0xa1affea3, 0xa99adb56, 0xa18e09fa, 0xa9bff8a8, 0xa16c23e1,
9892     0xa9e52347, 0xa14a4c5e,
9893   0xaa0a5b2e, 0xa1288376, 0xaa2fa056, 0xa106c92f, 0xaa54f2ba, 0xa0e51d8c,
9894     0xaa7a5253, 0xa0c38095,
9895   0xaa9fbf1e, 0xa0a1f24d, 0xaac53912, 0xa08072ba, 0xaaeac02c, 0xa05f01e1,
9896     0xab105464, 0xa03d9fc8,
9897   0xab35f5b5, 0xa01c4c73, 0xab5ba41a, 0x9ffb07e7, 0xab815f8d, 0x9fd9d22a,
9898     0xaba72807, 0x9fb8ab41,
9899   0xabccfd83, 0x9f979331, 0xabf2dffb, 0x9f7689ff, 0xac18cf69, 0x9f558fb0,
9900     0xac3ecbc7, 0x9f34a449,
9901   0xac64d510, 0x9f13c7d0, 0xac8aeb3e, 0x9ef2fa49, 0xacb10e4b, 0x9ed23bb9,
9902     0xacd73e30, 0x9eb18c26,
9903   0xacfd7ae8, 0x9e90eb94, 0xad23c46e, 0x9e705a09, 0xad4a1aba, 0x9e4fd78a,
9904     0xad707dc8, 0x9e2f641b,
9905   0xad96ed92, 0x9e0effc1, 0xadbd6a10, 0x9deeaa82, 0xade3f33e, 0x9dce6463,
9906     0xae0a8916, 0x9dae2d68,
9907   0xae312b92, 0x9d8e0597, 0xae57daab, 0x9d6decf4, 0xae7e965b, 0x9d4de385,
9908     0xaea55e9e, 0x9d2de94d,
9909   0xaecc336c, 0x9d0dfe54, 0xaef314c0, 0x9cee229c, 0xaf1a0293, 0x9cce562c,
9910     0xaf40fce1, 0x9cae9907,
9911   0xaf6803a2, 0x9c8eeb34, 0xaf8f16d1, 0x9c6f4cb6, 0xafb63667, 0x9c4fbd93,
9912     0xafdd625f, 0x9c303dcf,
9913   0xb0049ab3, 0x9c10cd70, 0xb02bdf5c, 0x9bf16c7a, 0xb0533055, 0x9bd21af3,
9914     0xb07a8d97, 0x9bb2d8de,
9915   0xb0a1f71d, 0x9b93a641, 0xb0c96ce0, 0x9b748320, 0xb0f0eeda, 0x9b556f81,
9916     0xb1187d05, 0x9b366b68,
9917   0xb140175b, 0x9b1776da, 0xb167bdd7, 0x9af891db, 0xb18f7071, 0x9ad9bc71,
9918     0xb1b72f23, 0x9abaf6a1,
9919   0xb1def9e9, 0x9a9c406e, 0xb206d0ba, 0x9a7d99de, 0xb22eb392, 0x9a5f02f5,
9920     0xb256a26a, 0x9a407bb9,
9921   0xb27e9d3c, 0x9a22042d, 0xb2a6a402, 0x9a039c57, 0xb2ceb6b5, 0x99e5443b,
9922     0xb2f6d550, 0x99c6fbde,
9923   0xb31effcc, 0x99a8c345, 0xb3473623, 0x998a9a74, 0xb36f784f, 0x996c816f,
9924     0xb397c649, 0x994e783d,
9925   0xb3c0200c, 0x99307ee0, 0xb3e88592, 0x9912955f, 0xb410f6d3, 0x98f4bbbc,
9926     0xb43973ca, 0x98d6f1fe,
9927   0xb461fc70, 0x98b93828, 0xb48a90c0, 0x989b8e40, 0xb4b330b3, 0x987df449,
9928     0xb4dbdc42, 0x98606a49,
9929   0xb5049368, 0x9842f043, 0xb52d561e, 0x9825863d, 0xb556245e, 0x98082c3b,
9930     0xb57efe22, 0x97eae242,
9931   0xb5a7e362, 0x97cda855, 0xb5d0d41a, 0x97b07e7a, 0xb5f9d043, 0x979364b5,
9932     0xb622d7d6, 0x97765b0a,
9933   0xb64beacd, 0x9759617f, 0xb6750921, 0x973c7817, 0xb69e32cd, 0x971f9ed7,
9934     0xb6c767ca, 0x9702d5c3,
9935   0xb6f0a812, 0x96e61ce0, 0xb719f39e, 0x96c97432, 0xb7434a67, 0x96acdbbe,
9936     0xb76cac69, 0x96905388,
9937   0xb796199b, 0x9673db94, 0xb7bf91f8, 0x965773e7, 0xb7e9157a, 0x963b1c86,
9938     0xb812a41a, 0x961ed574,
9939   0xb83c3dd1, 0x96029eb6, 0xb865e299, 0x95e67850, 0xb88f926d, 0x95ca6247,
9940     0xb8b94d44, 0x95ae5c9f,
9941   0xb8e31319, 0x9592675c, 0xb90ce3e6, 0x95768283, 0xb936bfa4, 0x955aae17,
9942     0xb960a64c, 0x953eea1e,
9943   0xb98a97d8, 0x9523369c, 0xb9b49442, 0x95079394, 0xb9de9b83, 0x94ec010b,
9944     0xba08ad95, 0x94d07f05,
9945   0xba32ca71, 0x94b50d87, 0xba5cf210, 0x9499ac95, 0xba87246d, 0x947e5c33,
9946     0xbab16180, 0x94631c65,
9947   0xbadba943, 0x9447ed2f, 0xbb05fbb0, 0x942cce96, 0xbb3058c0, 0x9411c09e,
9948     0xbb5ac06d, 0x93f6c34a,
9949   0xbb8532b0, 0x93dbd6a0, 0xbbafaf82, 0x93c0faa3, 0xbbda36dd, 0x93a62f57,
9950     0xbc04c8ba, 0x938b74c1,
9951   0xbc2f6513, 0x9370cae4, 0xbc5a0be2, 0x935631c5, 0xbc84bd1f, 0x933ba968,
9952     0xbcaf78c4, 0x932131d1,
9953   0xbcda3ecb, 0x9306cb04, 0xbd050f2c, 0x92ec7505, 0xbd2fe9e2, 0x92d22fd9,
9954     0xbd5acee5, 0x92b7fb82,
9955   0xbd85be30, 0x929dd806, 0xbdb0b7bb, 0x9283c568, 0xbddbbb7f, 0x9269c3ac,
9956     0xbe06c977, 0x924fd2d7,
9957   0xbe31e19b, 0x9235f2ec, 0xbe5d03e6, 0x921c23ef, 0xbe88304f, 0x920265e4,
9958     0xbeb366d1, 0x91e8b8d0,
9959   0xbedea765, 0x91cf1cb6, 0xbf09f205, 0x91b5919a, 0xbf3546a8, 0x919c1781,
9960     0xbf60a54a, 0x9182ae6d,
9961   0xbf8c0de3, 0x91695663, 0xbfb7806c, 0x91500f67, 0xbfe2fcdf, 0x9136d97d,
9962     0xc00e8336, 0x911db4a9,
9963   0xc03a1368, 0x9104a0ee, 0xc065ad70, 0x90eb9e50, 0xc0915148, 0x90d2acd4,
9964     0xc0bcfee7, 0x90b9cc7d,
9965   0xc0e8b648, 0x90a0fd4e, 0xc1147764, 0x90883f4d, 0xc1404233, 0x906f927c,
9966     0xc16c16b0, 0x9056f6df,
9967   0xc197f4d4, 0x903e6c7b, 0xc1c3dc97, 0x9025f352, 0xc1efcdf3, 0x900d8b69,
9968     0xc21bc8e1, 0x8ff534c4,
9969   0xc247cd5a, 0x8fdcef66, 0xc273db58, 0x8fc4bb53, 0xc29ff2d4, 0x8fac988f,
9970     0xc2cc13c7, 0x8f94871d,
9971   0xc2f83e2a, 0x8f7c8701, 0xc32471f7, 0x8f649840, 0xc350af26, 0x8f4cbadb,
9972     0xc37cf5b0, 0x8f34eed8,
9973   0xc3a94590, 0x8f1d343a, 0xc3d59ebe, 0x8f058b04, 0xc4020133, 0x8eedf33b,
9974     0xc42e6ce8, 0x8ed66ce1,
9975   0xc45ae1d7, 0x8ebef7fb, 0xc4875ff9, 0x8ea7948c, 0xc4b3e746, 0x8e904298,
9976     0xc4e077b8, 0x8e790222,
9977   0xc50d1149, 0x8e61d32e, 0xc539b3f1, 0x8e4ab5bf, 0xc5665fa9, 0x8e33a9da,
9978     0xc593146a, 0x8e1caf80,
9979   0xc5bfd22e, 0x8e05c6b7, 0xc5ec98ee, 0x8deeef82, 0xc61968a2, 0x8dd829e4,
9980     0xc6464144, 0x8dc175e0,
9981   0xc67322ce, 0x8daad37b, 0xc6a00d37, 0x8d9442b8, 0xc6cd0079, 0x8d7dc399,
9982     0xc6f9fc8d, 0x8d675623,
9983   0xc727016d, 0x8d50fa59, 0xc7540f11, 0x8d3ab03f, 0xc7812572, 0x8d2477d8,
9984     0xc7ae4489, 0x8d0e5127,
9985   0xc7db6c50, 0x8cf83c30, 0xc8089cbf, 0x8ce238f6, 0xc835d5d0, 0x8ccc477d,
9986     0xc863177b, 0x8cb667c8,
9987   0xc89061ba, 0x8ca099da, 0xc8bdb485, 0x8c8addb7, 0xc8eb0fd6, 0x8c753362,
9988     0xc91873a5, 0x8c5f9ade,
9989   0xc945dfec, 0x8c4a142f, 0xc97354a4, 0x8c349f58, 0xc9a0d1c5, 0x8c1f3c5d,
9990     0xc9ce5748, 0x8c09eb40,
9991   0xc9fbe527, 0x8bf4ac05, 0xca297b5a, 0x8bdf7eb0, 0xca5719db, 0x8bca6343,
9992     0xca84c0a3, 0x8bb559c1,
9993   0xcab26fa9, 0x8ba0622f, 0xcae026e8, 0x8b8b7c8f, 0xcb0de658, 0x8b76a8e4,
9994     0xcb3badf3, 0x8b61e733,
9995   0xcb697db0, 0x8b4d377c, 0xcb97558a, 0x8b3899c6, 0xcbc53579, 0x8b240e11,
9996     0xcbf31d75, 0x8b0f9462,
9997   0xcc210d79, 0x8afb2cbb, 0xcc4f057c, 0x8ae6d720, 0xcc7d0578, 0x8ad29394,
9998     0xccab0d65, 0x8abe6219,
9999   0xccd91d3d, 0x8aaa42b4, 0xcd0734f9, 0x8a963567, 0xcd355491, 0x8a823a36,
10000     0xcd637bfe, 0x8a6e5123,
10001   0xcd91ab39, 0x8a5a7a31, 0xcdbfe23a, 0x8a46b564, 0xcdee20fc, 0x8a3302be,
10002     0xce1c6777, 0x8a1f6243,
10003   0xce4ab5a2, 0x8a0bd3f5, 0xce790b79, 0x89f857d8, 0xcea768f2, 0x89e4edef,
10004     0xced5ce08, 0x89d1963c,
10005   0xcf043ab3, 0x89be50c3, 0xcf32aeeb, 0x89ab1d87, 0xcf612aaa, 0x8997fc8a,
10006     0xcf8fade9, 0x8984edcf,
10007   0xcfbe389f, 0x8971f15a, 0xcfeccac7, 0x895f072e, 0xd01b6459, 0x894c2f4c,
10008     0xd04a054e, 0x893969b9,
10009   0xd078ad9e, 0x8926b677, 0xd0a75d42, 0x89141589, 0xd0d61434, 0x890186f2,
10010     0xd104d26b, 0x88ef0ab4,
10011   0xd13397e2, 0x88dca0d3, 0xd1626490, 0x88ca4951, 0xd191386e, 0x88b80432,
10012     0xd1c01375, 0x88a5d177,
10013   0xd1eef59e, 0x8893b125, 0xd21ddee2, 0x8881a33d, 0xd24ccf39, 0x886fa7c2,
10014     0xd27bc69c, 0x885dbeb8,
10015   0xd2aac504, 0x884be821, 0xd2d9ca6a, 0x883a23ff, 0xd308d6c7, 0x88287256,
10016     0xd337ea12, 0x8816d327,
10017   0xd3670446, 0x88054677, 0xd396255a, 0x87f3cc48, 0xd3c54d47, 0x87e2649b,
10018     0xd3f47c06, 0x87d10f75,
10019   0xd423b191, 0x87bfccd7, 0xd452eddf, 0x87ae9cc5, 0xd48230e9, 0x879d7f41,
10020     0xd4b17aa8, 0x878c744d,
10021   0xd4e0cb15, 0x877b7bec, 0xd5102228, 0x876a9621, 0xd53f7fda, 0x8759c2ef,
10022     0xd56ee424, 0x87490258,
10023   0xd59e4eff, 0x8738545e, 0xd5cdc062, 0x8727b905, 0xd5fd3848, 0x8717304e,
10024     0xd62cb6a8, 0x8706ba3d,
10025   0xd65c3b7b, 0x86f656d3, 0xd68bc6ba, 0x86e60614, 0xd6bb585e, 0x86d5c802,
10026     0xd6eaf05f, 0x86c59c9f,
10027   0xd71a8eb5, 0x86b583ee, 0xd74a335b, 0x86a57df2, 0xd779de47, 0x86958aac,
10028     0xd7a98f73, 0x8685aa20,
10029   0xd7d946d8, 0x8675dc4f, 0xd809046e, 0x8666213c, 0xd838c82d, 0x865678eb,
10030     0xd868920f, 0x8646e35c,
10031   0xd898620c, 0x86376092, 0xd8c8381d, 0x8627f091, 0xd8f81439, 0x86189359,
10032     0xd927f65b, 0x860948ef,
10033   0xd957de7a, 0x85fa1153, 0xd987cc90, 0x85eaec88, 0xd9b7c094, 0x85dbda91,
10034     0xd9e7ba7f, 0x85ccdb70,
10035   0xda17ba4a, 0x85bdef28, 0xda47bfee, 0x85af15b9, 0xda77cb63, 0x85a04f28,
10036     0xdaa7dca1, 0x85919b76,
10037   0xdad7f3a2, 0x8582faa5, 0xdb08105e, 0x85746cb8, 0xdb3832cd, 0x8565f1b0,
10038     0xdb685ae9, 0x85578991,
10039   0xdb9888a8, 0x8549345c, 0xdbc8bc06, 0x853af214, 0xdbf8f4f8, 0x852cc2bb,
10040     0xdc293379, 0x851ea652,
10041   0xdc597781, 0x85109cdd, 0xdc89c109, 0x8502a65c, 0xdcba1008, 0x84f4c2d4,
10042     0xdcea6478, 0x84e6f244,
10043   0xdd1abe51, 0x84d934b1, 0xdd4b1d8c, 0x84cb8a1b, 0xdd7b8220, 0x84bdf286,
10044     0xddabec08, 0x84b06df2,
10045   0xdddc5b3b, 0x84a2fc62, 0xde0ccfb1, 0x84959dd9, 0xde3d4964, 0x84885258,
10046     0xde6dc84b, 0x847b19e1,
10047   0xde9e4c60, 0x846df477, 0xdeced59b, 0x8460e21a, 0xdeff63f4, 0x8453e2cf,
10048     0xdf2ff764, 0x8446f695,
10049   0xdf608fe4, 0x843a1d70, 0xdf912d6b, 0x842d5762, 0xdfc1cff3, 0x8420a46c,
10050     0xdff27773, 0x84140490,
10051   0xe02323e5, 0x840777d0, 0xe053d541, 0x83fafe2e, 0xe0848b7f, 0x83ee97ad,
10052     0xe0b54698, 0x83e2444d,
10053   0xe0e60685, 0x83d60412, 0xe116cb3d, 0x83c9d6fc, 0xe14794ba, 0x83bdbd0e,
10054     0xe17862f3, 0x83b1b649,
10055   0xe1a935e2, 0x83a5c2b0, 0xe1da0d7e, 0x8399e244, 0xe20ae9c1, 0x838e1507,
10056     0xe23bcaa2, 0x83825afb,
10057   0xe26cb01b, 0x8376b422, 0xe29d9a23, 0x836b207d, 0xe2ce88b3, 0x835fa00f,
10058     0xe2ff7bc3, 0x835432d8,
10059   0xe330734d, 0x8348d8dc, 0xe3616f48, 0x833d921b, 0xe3926fad, 0x83325e97,
10060     0xe3c37474, 0x83273e52,
10061   0xe3f47d96, 0x831c314e, 0xe4258b0a, 0x8311378d, 0xe4569ccb, 0x83065110,
10062     0xe487b2d0, 0x82fb7dd8,
10063   0xe4b8cd11, 0x82f0bde8, 0xe4e9eb87, 0x82e61141, 0xe51b0e2a, 0x82db77e5,
10064     0xe54c34f3, 0x82d0f1d5,
10065   0xe57d5fda, 0x82c67f14, 0xe5ae8ed8, 0x82bc1fa2, 0xe5dfc1e5, 0x82b1d381,
10066     0xe610f8f9, 0x82a79ab3,
10067   0xe642340d, 0x829d753a, 0xe6737319, 0x82936317, 0xe6a4b616, 0x8289644b,
10068     0xe6d5fcfc, 0x827f78d8,
10069   0xe70747c4, 0x8275a0c0, 0xe7389665, 0x826bdc04, 0xe769e8d8, 0x82622aa6,
10070     0xe79b3f16, 0x82588ca7,
10071   0xe7cc9917, 0x824f0208, 0xe7fdf6d4, 0x82458acc, 0xe82f5844, 0x823c26f3,
10072     0xe860bd61, 0x8232d67f,
10073   0xe8922622, 0x82299971, 0xe8c39280, 0x82206fcc, 0xe8f50273, 0x82175990,
10074     0xe92675f4, 0x820e56be,
10075   0xe957ecfb, 0x82056758, 0xe9896781, 0x81fc8b60, 0xe9bae57d, 0x81f3c2d7,
10076     0xe9ec66e8, 0x81eb0dbe,
10077   0xea1debbb, 0x81e26c16, 0xea4f73ee, 0x81d9dde1, 0xea80ff7a, 0x81d16321,
10078     0xeab28e56, 0x81c8fbd6,
10079   0xeae4207a, 0x81c0a801, 0xeb15b5e1, 0x81b867a5, 0xeb474e81, 0x81b03ac2,
10080     0xeb78ea52, 0x81a82159,
10081   0xebaa894f, 0x81a01b6d, 0xebdc2b6e, 0x819828fd, 0xec0dd0a8, 0x81904a0c,
10082     0xec3f78f6, 0x81887e9a,
10083   0xec71244f, 0x8180c6a9, 0xeca2d2ad, 0x8179223a, 0xecd48407, 0x8171914e,
10084     0xed063856, 0x816a13e6,
10085   0xed37ef91, 0x8162aa04, 0xed69a9b3, 0x815b53a8, 0xed9b66b2, 0x815410d4,
10086     0xedcd2687, 0x814ce188,
10087   0xedfee92b, 0x8145c5c7, 0xee30ae96, 0x813ebd90, 0xee6276bf, 0x8137c8e6,
10088     0xee9441a0, 0x8130e7c9,
10089   0xeec60f31, 0x812a1a3a, 0xeef7df6a, 0x8123603a, 0xef29b243, 0x811cb9ca,
10090     0xef5b87b5, 0x811626ec,
10091   0xef8d5fb8, 0x810fa7a0, 0xefbf3a45, 0x81093be8, 0xeff11753, 0x8102e3c4,
10092     0xf022f6da, 0x80fc9f35,
10093   0xf054d8d5, 0x80f66e3c, 0xf086bd39, 0x80f050db, 0xf0b8a401, 0x80ea4712,
10094     0xf0ea8d24, 0x80e450e2,
10095   0xf11c789a, 0x80de6e4c, 0xf14e665c, 0x80d89f51, 0xf1805662, 0x80d2e3f2,
10096     0xf1b248a5, 0x80cd3c2f,
10097   0xf1e43d1c, 0x80c7a80a, 0xf21633c0, 0x80c22784, 0xf2482c8a, 0x80bcba9d,
10098     0xf27a2771, 0x80b76156,
10099   0xf2ac246e, 0x80b21baf, 0xf2de2379, 0x80ace9ab, 0xf310248a, 0x80a7cb49,
10100     0xf342279b, 0x80a2c08b,
10101   0xf3742ca2, 0x809dc971, 0xf3a63398, 0x8098e5fb, 0xf3d83c77, 0x8094162c,
10102     0xf40a4735, 0x808f5a02,
10103   0xf43c53cb, 0x808ab180, 0xf46e6231, 0x80861ca6, 0xf4a07261, 0x80819b74,
10104     0xf4d28451, 0x807d2dec,
10105   0xf50497fb, 0x8078d40d, 0xf536ad56, 0x80748dd9, 0xf568c45b, 0x80705b50,
10106     0xf59add02, 0x806c3c74,
10107   0xf5ccf743, 0x80683143, 0xf5ff1318, 0x806439c0, 0xf6313077, 0x806055eb,
10108     0xf6634f59, 0x805c85c4,
10109   0xf6956fb7, 0x8058c94c, 0xf6c79188, 0x80552084, 0xf6f9b4c6, 0x80518b6b,
10110     0xf72bd967, 0x804e0a04,
10111   0xf75dff66, 0x804a9c4d, 0xf79026b9, 0x80474248, 0xf7c24f59, 0x8043fbf6,
10112     0xf7f4793e, 0x8040c956,
10113   0xf826a462, 0x803daa6a, 0xf858d0bb, 0x803a9f31, 0xf88afe42, 0x8037a7ac,
10114     0xf8bd2cef, 0x8034c3dd,
10115   0xf8ef5cbb, 0x8031f3c2, 0xf9218d9e, 0x802f375d, 0xf953bf91, 0x802c8ead,
10116     0xf985f28a, 0x8029f9b4,
10117   0xf9b82684, 0x80277872, 0xf9ea5b75, 0x80250ae7, 0xfa1c9157, 0x8022b114,
10118     0xfa4ec821, 0x80206af8,
10119   0xfa80ffcb, 0x801e3895, 0xfab3384f, 0x801c19ea, 0xfae571a4, 0x801a0ef8,
10120     0xfb17abc2, 0x801817bf,
10121   0xfb49e6a3, 0x80163440, 0xfb7c223d, 0x8014647b, 0xfbae5e89, 0x8012a86f,
10122     0xfbe09b80, 0x8011001f,
10123   0xfc12d91a, 0x800f6b88, 0xfc45174e, 0x800deaad, 0xfc775616, 0x800c7d8c,
10124     0xfca9956a, 0x800b2427,
10125   0xfcdbd541, 0x8009de7e, 0xfd0e1594, 0x8008ac90, 0xfd40565c, 0x80078e5e,
10126     0xfd729790, 0x800683e8,
10127   0xfda4d929, 0x80058d2f, 0xfdd71b1e, 0x8004aa32, 0xfe095d69, 0x8003daf1,
10128     0xfe3ba002, 0x80031f6d,
10129   0xfe6de2e0, 0x800277a6, 0xfea025fd, 0x8001e39b, 0xfed2694f, 0x8001634e,
10130     0xff04acd0, 0x8000f6bd,
10131   0xff36f078, 0x80009dea, 0xff69343f, 0x800058d4, 0xff9b781d, 0x8000277a,
10132     0xffcdbc0b, 0x800009df,
10133
10134 };
10135
10136
10137 /*
10138 * @brief  Q15 Twiddle factors Table
10139 */
10140
10141 /**
10142 * \par
10143 * Example code for Q15 Twiddle factors Generation::
10144 * \par
10145 * <pre>for(i = 0; i< 3N/4; i++)
10146 * {
10147 *       twiddleCoefQ15[2*i]= cos(i * 2*PI/(float)N);
10148 *       twiddleCoefQ15[2*i+1]= sin(i * 2*PI/(float)N);
10149 * } </pre>
10150 * \par
10151 * where N = 4096        and PI = 3.14159265358979
10152 * \par
10153 * Cos and Sin values are interleaved fashion
10154 * \par
10155 * Convert Floating point to Q15(Fixed point 1.15):
10156 *       round(twiddleCoefQ15(i) * pow(2, 15))
10157 *
10158 */
10159
10160 const q15_t ALIGN4 twiddleCoefQ15[6144] = {
10161
10162   0x7fff, 0x0, 0x7fff, 0x32, 0x7fff, 0x65, 0x7fff, 0x97,
10163   0x7fff, 0xc9, 0x7fff, 0xfb, 0x7fff, 0x12e, 0x7ffe, 0x160,
10164   0x7ffe, 0x192, 0x7ffd, 0x1c4, 0x7ffc, 0x1f7, 0x7ffb, 0x229,
10165   0x7ffa, 0x25b, 0x7ff9, 0x28d, 0x7ff8, 0x2c0, 0x7ff7, 0x2f2,
10166   0x7ff6, 0x324, 0x7ff5, 0x356, 0x7ff4, 0x389, 0x7ff2, 0x3bb,
10167   0x7ff1, 0x3ed, 0x7fef, 0x41f, 0x7fed, 0x452, 0x7fec, 0x484,
10168   0x7fea, 0x4b6, 0x7fe8, 0x4e8, 0x7fe6, 0x51b, 0x7fe4, 0x54d,
10169   0x7fe2, 0x57f, 0x7fe0, 0x5b1, 0x7fdd, 0x5e3, 0x7fdb, 0x616,
10170   0x7fd9, 0x648, 0x7fd6, 0x67a, 0x7fd3, 0x6ac, 0x7fd1, 0x6de,
10171   0x7fce, 0x711, 0x7fcb, 0x743, 0x7fc8, 0x775, 0x7fc5, 0x7a7,
10172   0x7fc2, 0x7d9, 0x7fbf, 0x80c, 0x7fbc, 0x83e, 0x7fb9, 0x870,
10173   0x7fb5, 0x8a2, 0x7fb2, 0x8d4, 0x7fae, 0x906, 0x7fab, 0x938,
10174   0x7fa7, 0x96b, 0x7fa3, 0x99d, 0x7fa0, 0x9cf, 0x7f9c, 0xa01,
10175   0x7f98, 0xa33, 0x7f94, 0xa65, 0x7f90, 0xa97, 0x7f8b, 0xac9,
10176   0x7f87, 0xafb, 0x7f83, 0xb2d, 0x7f7e, 0xb60, 0x7f7a, 0xb92,
10177   0x7f75, 0xbc4, 0x7f71, 0xbf6, 0x7f6c, 0xc28, 0x7f67, 0xc5a,
10178   0x7f62, 0xc8c, 0x7f5d, 0xcbe, 0x7f58, 0xcf0, 0x7f53, 0xd22,
10179   0x7f4e, 0xd54, 0x7f49, 0xd86, 0x7f43, 0xdb8, 0x7f3e, 0xdea,
10180   0x7f38, 0xe1c, 0x7f33, 0xe4e, 0x7f2d, 0xe80, 0x7f27, 0xeb2,
10181   0x7f22, 0xee4, 0x7f1c, 0xf15, 0x7f16, 0xf47, 0x7f10, 0xf79,
10182   0x7f0a, 0xfab, 0x7f03, 0xfdd, 0x7efd, 0x100f, 0x7ef7, 0x1041,
10183   0x7ef0, 0x1073, 0x7eea, 0x10a4, 0x7ee3, 0x10d6, 0x7edd, 0x1108,
10184   0x7ed6, 0x113a, 0x7ecf, 0x116c, 0x7ec8, 0x119e, 0x7ec1, 0x11cf,
10185   0x7eba, 0x1201, 0x7eb3, 0x1233, 0x7eac, 0x1265, 0x7ea5, 0x1296,
10186   0x7e9d, 0x12c8, 0x7e96, 0x12fa, 0x7e8e, 0x132b, 0x7e87, 0x135d,
10187   0x7e7f, 0x138f, 0x7e78, 0x13c1, 0x7e70, 0x13f2, 0x7e68, 0x1424,
10188   0x7e60, 0x1455, 0x7e58, 0x1487, 0x7e50, 0x14b9, 0x7e48, 0x14ea,
10189   0x7e3f, 0x151c, 0x7e37, 0x154d, 0x7e2f, 0x157f, 0x7e26, 0x15b1,
10190   0x7e1e, 0x15e2, 0x7e15, 0x1614, 0x7e0c, 0x1645, 0x7e03, 0x1677,
10191   0x7dfb, 0x16a8, 0x7df2, 0x16da, 0x7de9, 0x170b, 0x7de0, 0x173c,
10192   0x7dd6, 0x176e, 0x7dcd, 0x179f, 0x7dc4, 0x17d1, 0x7dba, 0x1802,
10193   0x7db1, 0x1833, 0x7da7, 0x1865, 0x7d9e, 0x1896, 0x7d94, 0x18c7,
10194   0x7d8a, 0x18f9, 0x7d81, 0x192a, 0x7d77, 0x195b, 0x7d6d, 0x198d,
10195   0x7d63, 0x19be, 0x7d58, 0x19ef, 0x7d4e, 0x1a20, 0x7d44, 0x1a51,
10196   0x7d3a, 0x1a83, 0x7d2f, 0x1ab4, 0x7d25, 0x1ae5, 0x7d1a, 0x1b16,
10197   0x7d0f, 0x1b47, 0x7d05, 0x1b78, 0x7cfa, 0x1ba9, 0x7cef, 0x1bda,
10198   0x7ce4, 0x1c0c, 0x7cd9, 0x1c3d, 0x7cce, 0x1c6e, 0x7cc2, 0x1c9f,
10199   0x7cb7, 0x1cd0, 0x7cac, 0x1d01, 0x7ca0, 0x1d31, 0x7c95, 0x1d62,
10200   0x7c89, 0x1d93, 0x7c7e, 0x1dc4, 0x7c72, 0x1df5, 0x7c66, 0x1e26,
10201   0x7c5a, 0x1e57, 0x7c4e, 0x1e88, 0x7c42, 0x1eb8, 0x7c36, 0x1ee9,
10202   0x7c2a, 0x1f1a, 0x7c1e, 0x1f4b, 0x7c11, 0x1f7b, 0x7c05, 0x1fac,
10203   0x7bf9, 0x1fdd, 0x7bec, 0x200e, 0x7bdf, 0x203e, 0x7bd3, 0x206f,
10204   0x7bc6, 0x209f, 0x7bb9, 0x20d0, 0x7bac, 0x2101, 0x7b9f, 0x2131,
10205   0x7b92, 0x2162, 0x7b85, 0x2192, 0x7b78, 0x21c3, 0x7b6a, 0x21f3,
10206   0x7b5d, 0x2224, 0x7b50, 0x2254, 0x7b42, 0x2284, 0x7b34, 0x22b5,
10207   0x7b27, 0x22e5, 0x7b19, 0x2316, 0x7b0b, 0x2346, 0x7afd, 0x2376,
10208   0x7aef, 0x23a7, 0x7ae1, 0x23d7, 0x7ad3, 0x2407, 0x7ac5, 0x2437,
10209   0x7ab7, 0x2467, 0x7aa8, 0x2498, 0x7a9a, 0x24c8, 0x7a8c, 0x24f8,
10210   0x7a7d, 0x2528, 0x7a6e, 0x2558, 0x7a60, 0x2588, 0x7a51, 0x25b8,
10211   0x7a42, 0x25e8, 0x7a33, 0x2618, 0x7a24, 0x2648, 0x7a15, 0x2678,
10212   0x7a06, 0x26a8, 0x79f7, 0x26d8, 0x79e7, 0x2708, 0x79d8, 0x2738,
10213   0x79c9, 0x2768, 0x79b9, 0x2797, 0x79aa, 0x27c7, 0x799a, 0x27f7,
10214   0x798a, 0x2827, 0x797a, 0x2856, 0x796a, 0x2886, 0x795b, 0x28b6,
10215   0x794a, 0x28e5, 0x793a, 0x2915, 0x792a, 0x2945, 0x791a, 0x2974,
10216   0x790a, 0x29a4, 0x78f9, 0x29d3, 0x78e9, 0x2a03, 0x78d8, 0x2a32,
10217   0x78c8, 0x2a62, 0x78b7, 0x2a91, 0x78a6, 0x2ac1, 0x7895, 0x2af0,
10218   0x7885, 0x2b1f, 0x7874, 0x2b4f, 0x7863, 0x2b7e, 0x7851, 0x2bad,
10219   0x7840, 0x2bdc, 0x782f, 0x2c0c, 0x781e, 0x2c3b, 0x780c, 0x2c6a,
10220   0x77fb, 0x2c99, 0x77e9, 0x2cc8, 0x77d8, 0x2cf7, 0x77c6, 0x2d26,
10221   0x77b4, 0x2d55, 0x77a2, 0x2d84, 0x7790, 0x2db3, 0x777e, 0x2de2,
10222   0x776c, 0x2e11, 0x775a, 0x2e40, 0x7748, 0x2e6f, 0x7736, 0x2e9e,
10223   0x7723, 0x2ecc, 0x7711, 0x2efb, 0x76fe, 0x2f2a, 0x76ec, 0x2f59,
10224   0x76d9, 0x2f87, 0x76c7, 0x2fb6, 0x76b4, 0x2fe5, 0x76a1, 0x3013,
10225   0x768e, 0x3042, 0x767b, 0x3070, 0x7668, 0x309f, 0x7655, 0x30cd,
10226   0x7642, 0x30fc, 0x762e, 0x312a, 0x761b, 0x3159, 0x7608, 0x3187,
10227   0x75f4, 0x31b5, 0x75e1, 0x31e4, 0x75cd, 0x3212, 0x75b9, 0x3240,
10228   0x75a6, 0x326e, 0x7592, 0x329d, 0x757e, 0x32cb, 0x756a, 0x32f9,
10229   0x7556, 0x3327, 0x7542, 0x3355, 0x752d, 0x3383, 0x7519, 0x33b1,
10230   0x7505, 0x33df, 0x74f0, 0x340d, 0x74dc, 0x343b, 0x74c7, 0x3469,
10231   0x74b3, 0x3497, 0x749e, 0x34c4, 0x7489, 0x34f2, 0x7475, 0x3520,
10232   0x7460, 0x354e, 0x744b, 0x357b, 0x7436, 0x35a9, 0x7421, 0x35d7,
10233   0x740b, 0x3604, 0x73f6, 0x3632, 0x73e1, 0x365f, 0x73cb, 0x368d,
10234   0x73b6, 0x36ba, 0x73a0, 0x36e8, 0x738b, 0x3715, 0x7375, 0x3742,
10235   0x735f, 0x3770, 0x734a, 0x379d, 0x7334, 0x37ca, 0x731e, 0x37f7,
10236   0x7308, 0x3825, 0x72f2, 0x3852, 0x72dc, 0x387f, 0x72c5, 0x38ac,
10237   0x72af, 0x38d9, 0x7299, 0x3906, 0x7282, 0x3933, 0x726c, 0x3960,
10238   0x7255, 0x398d, 0x723f, 0x39ba, 0x7228, 0x39e7, 0x7211, 0x3a13,
10239   0x71fa, 0x3a40, 0x71e3, 0x3a6d, 0x71cc, 0x3a9a, 0x71b5, 0x3ac6,
10240   0x719e, 0x3af3, 0x7187, 0x3b20, 0x7170, 0x3b4c, 0x7158, 0x3b79,
10241   0x7141, 0x3ba5, 0x712a, 0x3bd2, 0x7112, 0x3bfe, 0x70fa, 0x3c2a,
10242   0x70e3, 0x3c57, 0x70cb, 0x3c83, 0x70b3, 0x3caf, 0x709b, 0x3cdc,
10243   0x7083, 0x3d08, 0x706b, 0x3d34, 0x7053, 0x3d60, 0x703b, 0x3d8c,
10244   0x7023, 0x3db8, 0x700b, 0x3de4, 0x6ff2, 0x3e10, 0x6fda, 0x3e3c,
10245   0x6fc2, 0x3e68, 0x6fa9, 0x3e94, 0x6f90, 0x3ec0, 0x6f78, 0x3eec,
10246   0x6f5f, 0x3f17, 0x6f46, 0x3f43, 0x6f2d, 0x3f6f, 0x6f14, 0x3f9a,
10247   0x6efb, 0x3fc6, 0x6ee2, 0x3ff1, 0x6ec9, 0x401d, 0x6eb0, 0x4048,
10248   0x6e97, 0x4074, 0x6e7d, 0x409f, 0x6e64, 0x40cb, 0x6e4a, 0x40f6,
10249   0x6e31, 0x4121, 0x6e17, 0x414d, 0x6dfe, 0x4178, 0x6de4, 0x41a3,
10250   0x6dca, 0x41ce, 0x6db0, 0x41f9, 0x6d96, 0x4224, 0x6d7c, 0x424f,
10251   0x6d62, 0x427a, 0x6d48, 0x42a5, 0x6d2e, 0x42d0, 0x6d14, 0x42fb,
10252   0x6cf9, 0x4326, 0x6cdf, 0x4351, 0x6cc4, 0x437b, 0x6caa, 0x43a6,
10253   0x6c8f, 0x43d1, 0x6c75, 0x43fb, 0x6c5a, 0x4426, 0x6c3f, 0x4450,
10254   0x6c24, 0x447b, 0x6c09, 0x44a5, 0x6bee, 0x44d0, 0x6bd3, 0x44fa,
10255   0x6bb8, 0x4524, 0x6b9d, 0x454f, 0x6b82, 0x4579, 0x6b66, 0x45a3,
10256   0x6b4b, 0x45cd, 0x6b30, 0x45f7, 0x6b14, 0x4621, 0x6af8, 0x464b,
10257   0x6add, 0x4675, 0x6ac1, 0x469f, 0x6aa5, 0x46c9, 0x6a89, 0x46f3,
10258   0x6a6e, 0x471d, 0x6a52, 0x4747, 0x6a36, 0x4770, 0x6a1a, 0x479a,
10259   0x69fd, 0x47c4, 0x69e1, 0x47ed, 0x69c5, 0x4817, 0x69a9, 0x4840,
10260   0x698c, 0x486a, 0x6970, 0x4893, 0x6953, 0x48bd, 0x6937, 0x48e6,
10261   0x691a, 0x490f, 0x68fd, 0x4939, 0x68e0, 0x4962, 0x68c4, 0x498b,
10262   0x68a7, 0x49b4, 0x688a, 0x49dd, 0x686d, 0x4a06, 0x6850, 0x4a2f,
10263   0x6832, 0x4a58, 0x6815, 0x4a81, 0x67f8, 0x4aaa, 0x67da, 0x4ad3,
10264   0x67bd, 0x4afb, 0x67a0, 0x4b24, 0x6782, 0x4b4d, 0x6764, 0x4b75,
10265   0x6747, 0x4b9e, 0x6729, 0x4bc7, 0x670b, 0x4bef, 0x66ed, 0x4c17,
10266   0x66d0, 0x4c40, 0x66b2, 0x4c68, 0x6693, 0x4c91, 0x6675, 0x4cb9,
10267   0x6657, 0x4ce1, 0x6639, 0x4d09, 0x661b, 0x4d31, 0x65fc, 0x4d59,
10268   0x65de, 0x4d81, 0x65c0, 0x4da9, 0x65a1, 0x4dd1, 0x6582, 0x4df9,
10269   0x6564, 0x4e21, 0x6545, 0x4e49, 0x6526, 0x4e71, 0x6507, 0x4e98,
10270   0x64e9, 0x4ec0, 0x64ca, 0x4ee8, 0x64ab, 0x4f0f, 0x648b, 0x4f37,
10271   0x646c, 0x4f5e, 0x644d, 0x4f85, 0x642e, 0x4fad, 0x640f, 0x4fd4,
10272   0x63ef, 0x4ffb, 0x63d0, 0x5023, 0x63b0, 0x504a, 0x6391, 0x5071,
10273   0x6371, 0x5098, 0x6351, 0x50bf, 0x6332, 0x50e6, 0x6312, 0x510d,
10274   0x62f2, 0x5134, 0x62d2, 0x515b, 0x62b2, 0x5181, 0x6292, 0x51a8,
10275   0x6272, 0x51cf, 0x6252, 0x51f5, 0x6232, 0x521c, 0x6211, 0x5243,
10276   0x61f1, 0x5269, 0x61d1, 0x5290, 0x61b0, 0x52b6, 0x6190, 0x52dc,
10277   0x616f, 0x5303, 0x614e, 0x5329, 0x612e, 0x534f, 0x610d, 0x5375,
10278   0x60ec, 0x539b, 0x60cb, 0x53c1, 0x60aa, 0x53e7, 0x6089, 0x540d,
10279   0x6068, 0x5433, 0x6047, 0x5459, 0x6026, 0x547f, 0x6005, 0x54a4,
10280   0x5fe4, 0x54ca, 0x5fc2, 0x54f0, 0x5fa1, 0x5515, 0x5f80, 0x553b,
10281   0x5f5e, 0x5560, 0x5f3c, 0x5586, 0x5f1b, 0x55ab, 0x5ef9, 0x55d0,
10282   0x5ed7, 0x55f6, 0x5eb6, 0x561b, 0x5e94, 0x5640, 0x5e72, 0x5665,
10283   0x5e50, 0x568a, 0x5e2e, 0x56af, 0x5e0c, 0x56d4, 0x5dea, 0x56f9,
10284   0x5dc8, 0x571e, 0x5da5, 0x5743, 0x5d83, 0x5767, 0x5d61, 0x578c,
10285   0x5d3e, 0x57b1, 0x5d1c, 0x57d5, 0x5cf9, 0x57fa, 0x5cd7, 0x581e,
10286   0x5cb4, 0x5843, 0x5c91, 0x5867, 0x5c6f, 0x588c, 0x5c4c, 0x58b0,
10287   0x5c29, 0x58d4, 0x5c06, 0x58f8, 0x5be3, 0x591c, 0x5bc0, 0x5940,
10288   0x5b9d, 0x5964, 0x5b7a, 0x5988, 0x5b57, 0x59ac, 0x5b34, 0x59d0,
10289   0x5b10, 0x59f4, 0x5aed, 0x5a18, 0x5ac9, 0x5a3b, 0x5aa6, 0x5a5f,
10290   0x5a82, 0x5a82, 0x5a5f, 0x5aa6, 0x5a3b, 0x5ac9, 0x5a18, 0x5aed,
10291   0x59f4, 0x5b10, 0x59d0, 0x5b34, 0x59ac, 0x5b57, 0x5988, 0x5b7a,
10292   0x5964, 0x5b9d, 0x5940, 0x5bc0, 0x591c, 0x5be3, 0x58f8, 0x5c06,
10293   0x58d4, 0x5c29, 0x58b0, 0x5c4c, 0x588c, 0x5c6f, 0x5867, 0x5c91,
10294   0x5843, 0x5cb4, 0x581e, 0x5cd7, 0x57fa, 0x5cf9, 0x57d5, 0x5d1c,
10295   0x57b1, 0x5d3e, 0x578c, 0x5d61, 0x5767, 0x5d83, 0x5743, 0x5da5,
10296   0x571e, 0x5dc8, 0x56f9, 0x5dea, 0x56d4, 0x5e0c, 0x56af, 0x5e2e,
10297   0x568a, 0x5e50, 0x5665, 0x5e72, 0x5640, 0x5e94, 0x561b, 0x5eb6,
10298   0x55f6, 0x5ed7, 0x55d0, 0x5ef9, 0x55ab, 0x5f1b, 0x5586, 0x5f3c,
10299   0x5560, 0x5f5e, 0x553b, 0x5f80, 0x5515, 0x5fa1, 0x54f0, 0x5fc2,
10300   0x54ca, 0x5fe4, 0x54a4, 0x6005, 0x547f, 0x6026, 0x5459, 0x6047,
10301   0x5433, 0x6068, 0x540d, 0x6089, 0x53e7, 0x60aa, 0x53c1, 0x60cb,
10302   0x539b, 0x60ec, 0x5375, 0x610d, 0x534f, 0x612e, 0x5329, 0x614e,
10303   0x5303, 0x616f, 0x52dc, 0x6190, 0x52b6, 0x61b0, 0x5290, 0x61d1,
10304   0x5269, 0x61f1, 0x5243, 0x6211, 0x521c, 0x6232, 0x51f5, 0x6252,
10305   0x51cf, 0x6272, 0x51a8, 0x6292, 0x5181, 0x62b2, 0x515b, 0x62d2,
10306   0x5134, 0x62f2, 0x510d, 0x6312, 0x50e6, 0x6332, 0x50bf, 0x6351,
10307   0x5098, 0x6371, 0x5071, 0x6391, 0x504a, 0x63b0, 0x5023, 0x63d0,
10308   0x4ffb, 0x63ef, 0x4fd4, 0x640f, 0x4fad, 0x642e, 0x4f85, 0x644d,
10309   0x4f5e, 0x646c, 0x4f37, 0x648b, 0x4f0f, 0x64ab, 0x4ee8, 0x64ca,
10310   0x4ec0, 0x64e9, 0x4e98, 0x6507, 0x4e71, 0x6526, 0x4e49, 0x6545,
10311   0x4e21, 0x6564, 0x4df9, 0x6582, 0x4dd1, 0x65a1, 0x4da9, 0x65c0,
10312   0x4d81, 0x65de, 0x4d59, 0x65fc, 0x4d31, 0x661b, 0x4d09, 0x6639,
10313   0x4ce1, 0x6657, 0x4cb9, 0x6675, 0x4c91, 0x6693, 0x4c68, 0x66b2,
10314   0x4c40, 0x66d0, 0x4c17, 0x66ed, 0x4bef, 0x670b, 0x4bc7, 0x6729,
10315   0x4b9e, 0x6747, 0x4b75, 0x6764, 0x4b4d, 0x6782, 0x4b24, 0x67a0,
10316   0x4afb, 0x67bd, 0x4ad3, 0x67da, 0x4aaa, 0x67f8, 0x4a81, 0x6815,
10317   0x4a58, 0x6832, 0x4a2f, 0x6850, 0x4a06, 0x686d, 0x49dd, 0x688a,
10318   0x49b4, 0x68a7, 0x498b, 0x68c4, 0x4962, 0x68e0, 0x4939, 0x68fd,
10319   0x490f, 0x691a, 0x48e6, 0x6937, 0x48bd, 0x6953, 0x4893, 0x6970,
10320   0x486a, 0x698c, 0x4840, 0x69a9, 0x4817, 0x69c5, 0x47ed, 0x69e1,
10321   0x47c4, 0x69fd, 0x479a, 0x6a1a, 0x4770, 0x6a36, 0x4747, 0x6a52,
10322   0x471d, 0x6a6e, 0x46f3, 0x6a89, 0x46c9, 0x6aa5, 0x469f, 0x6ac1,
10323   0x4675, 0x6add, 0x464b, 0x6af8, 0x4621, 0x6b14, 0x45f7, 0x6b30,
10324   0x45cd, 0x6b4b, 0x45a3, 0x6b66, 0x4579, 0x6b82, 0x454f, 0x6b9d,
10325   0x4524, 0x6bb8, 0x44fa, 0x6bd3, 0x44d0, 0x6bee, 0x44a5, 0x6c09,
10326   0x447b, 0x6c24, 0x4450, 0x6c3f, 0x4426, 0x6c5a, 0x43fb, 0x6c75,
10327   0x43d1, 0x6c8f, 0x43a6, 0x6caa, 0x437b, 0x6cc4, 0x4351, 0x6cdf,
10328   0x4326, 0x6cf9, 0x42fb, 0x6d14, 0x42d0, 0x6d2e, 0x42a5, 0x6d48,
10329   0x427a, 0x6d62, 0x424f, 0x6d7c, 0x4224, 0x6d96, 0x41f9, 0x6db0,
10330   0x41ce, 0x6dca, 0x41a3, 0x6de4, 0x4178, 0x6dfe, 0x414d, 0x6e17,
10331   0x4121, 0x6e31, 0x40f6, 0x6e4a, 0x40cb, 0x6e64, 0x409f, 0x6e7d,
10332   0x4074, 0x6e97, 0x4048, 0x6eb0, 0x401d, 0x6ec9, 0x3ff1, 0x6ee2,
10333   0x3fc6, 0x6efb, 0x3f9a, 0x6f14, 0x3f6f, 0x6f2d, 0x3f43, 0x6f46,
10334   0x3f17, 0x6f5f, 0x3eec, 0x6f78, 0x3ec0, 0x6f90, 0x3e94, 0x6fa9,
10335   0x3e68, 0x6fc2, 0x3e3c, 0x6fda, 0x3e10, 0x6ff2, 0x3de4, 0x700b,
10336   0x3db8, 0x7023, 0x3d8c, 0x703b, 0x3d60, 0x7053, 0x3d34, 0x706b,
10337   0x3d08, 0x7083, 0x3cdc, 0x709b, 0x3caf, 0x70b3, 0x3c83, 0x70cb,
10338   0x3c57, 0x70e3, 0x3c2a, 0x70fa, 0x3bfe, 0x7112, 0x3bd2, 0x712a,
10339   0x3ba5, 0x7141, 0x3b79, 0x7158, 0x3b4c, 0x7170, 0x3b20, 0x7187,
10340   0x3af3, 0x719e, 0x3ac6, 0x71b5, 0x3a9a, 0x71cc, 0x3a6d, 0x71e3,
10341   0x3a40, 0x71fa, 0x3a13, 0x7211, 0x39e7, 0x7228, 0x39ba, 0x723f,
10342   0x398d, 0x7255, 0x3960, 0x726c, 0x3933, 0x7282, 0x3906, 0x7299,
10343   0x38d9, 0x72af, 0x38ac, 0x72c5, 0x387f, 0x72dc, 0x3852, 0x72f2,
10344   0x3825, 0x7308, 0x37f7, 0x731e, 0x37ca, 0x7334, 0x379d, 0x734a,
10345   0x3770, 0x735f, 0x3742, 0x7375, 0x3715, 0x738b, 0x36e8, 0x73a0,
10346   0x36ba, 0x73b6, 0x368d, 0x73cb, 0x365f, 0x73e1, 0x3632, 0x73f6,
10347   0x3604, 0x740b, 0x35d7, 0x7421, 0x35a9, 0x7436, 0x357b, 0x744b,
10348   0x354e, 0x7460, 0x3520, 0x7475, 0x34f2, 0x7489, 0x34c4, 0x749e,
10349   0x3497, 0x74b3, 0x3469, 0x74c7, 0x343b, 0x74dc, 0x340d, 0x74f0,
10350   0x33df, 0x7505, 0x33b1, 0x7519, 0x3383, 0x752d, 0x3355, 0x7542,
10351   0x3327, 0x7556, 0x32f9, 0x756a, 0x32cb, 0x757e, 0x329d, 0x7592,
10352   0x326e, 0x75a6, 0x3240, 0x75b9, 0x3212, 0x75cd, 0x31e4, 0x75e1,
10353   0x31b5, 0x75f4, 0x3187, 0x7608, 0x3159, 0x761b, 0x312a, 0x762e,
10354   0x30fc, 0x7642, 0x30cd, 0x7655, 0x309f, 0x7668, 0x3070, 0x767b,
10355   0x3042, 0x768e, 0x3013, 0x76a1, 0x2fe5, 0x76b4, 0x2fb6, 0x76c7,
10356   0x2f87, 0x76d9, 0x2f59, 0x76ec, 0x2f2a, 0x76fe, 0x2efb, 0x7711,
10357   0x2ecc, 0x7723, 0x2e9e, 0x7736, 0x2e6f, 0x7748, 0x2e40, 0x775a,
10358   0x2e11, 0x776c, 0x2de2, 0x777e, 0x2db3, 0x7790, 0x2d84, 0x77a2,
10359   0x2d55, 0x77b4, 0x2d26, 0x77c6, 0x2cf7, 0x77d8, 0x2cc8, 0x77e9,
10360   0x2c99, 0x77fb, 0x2c6a, 0x780c, 0x2c3b, 0x781e, 0x2c0c, 0x782f,
10361   0x2bdc, 0x7840, 0x2bad, 0x7851, 0x2b7e, 0x7863, 0x2b4f, 0x7874,
10362   0x2b1f, 0x7885, 0x2af0, 0x7895, 0x2ac1, 0x78a6, 0x2a91, 0x78b7,
10363   0x2a62, 0x78c8, 0x2a32, 0x78d8, 0x2a03, 0x78e9, 0x29d3, 0x78f9,
10364   0x29a4, 0x790a, 0x2974, 0x791a, 0x2945, 0x792a, 0x2915, 0x793a,
10365   0x28e5, 0x794a, 0x28b6, 0x795b, 0x2886, 0x796a, 0x2856, 0x797a,
10366   0x2827, 0x798a, 0x27f7, 0x799a, 0x27c7, 0x79aa, 0x2797, 0x79b9,
10367   0x2768, 0x79c9, 0x2738, 0x79d8, 0x2708, 0x79e7, 0x26d8, 0x79f7,
10368   0x26a8, 0x7a06, 0x2678, 0x7a15, 0x2648, 0x7a24, 0x2618, 0x7a33,
10369   0x25e8, 0x7a42, 0x25b8, 0x7a51, 0x2588, 0x7a60, 0x2558, 0x7a6e,
10370   0x2528, 0x7a7d, 0x24f8, 0x7a8c, 0x24c8, 0x7a9a, 0x2498, 0x7aa8,
10371   0x2467, 0x7ab7, 0x2437, 0x7ac5, 0x2407, 0x7ad3, 0x23d7, 0x7ae1,
10372   0x23a7, 0x7aef, 0x2376, 0x7afd, 0x2346, 0x7b0b, 0x2316, 0x7b19,
10373   0x22e5, 0x7b27, 0x22b5, 0x7b34, 0x2284, 0x7b42, 0x2254, 0x7b50,
10374   0x2224, 0x7b5d, 0x21f3, 0x7b6a, 0x21c3, 0x7b78, 0x2192, 0x7b85,
10375   0x2162, 0x7b92, 0x2131, 0x7b9f, 0x2101, 0x7bac, 0x20d0, 0x7bb9,
10376   0x209f, 0x7bc6, 0x206f, 0x7bd3, 0x203e, 0x7bdf, 0x200e, 0x7bec,
10377   0x1fdd, 0x7bf9, 0x1fac, 0x7c05, 0x1f7b, 0x7c11, 0x1f4b, 0x7c1e,
10378   0x1f1a, 0x7c2a, 0x1ee9, 0x7c36, 0x1eb8, 0x7c42, 0x1e88, 0x7c4e,
10379   0x1e57, 0x7c5a, 0x1e26, 0x7c66, 0x1df5, 0x7c72, 0x1dc4, 0x7c7e,
10380   0x1d93, 0x7c89, 0x1d62, 0x7c95, 0x1d31, 0x7ca0, 0x1d01, 0x7cac,
10381   0x1cd0, 0x7cb7, 0x1c9f, 0x7cc2, 0x1c6e, 0x7cce, 0x1c3d, 0x7cd9,
10382   0x1c0c, 0x7ce4, 0x1bda, 0x7cef, 0x1ba9, 0x7cfa, 0x1b78, 0x7d05,
10383   0x1b47, 0x7d0f, 0x1b16, 0x7d1a, 0x1ae5, 0x7d25, 0x1ab4, 0x7d2f,
10384   0x1a83, 0x7d3a, 0x1a51, 0x7d44, 0x1a20, 0x7d4e, 0x19ef, 0x7d58,
10385   0x19be, 0x7d63, 0x198d, 0x7d6d, 0x195b, 0x7d77, 0x192a, 0x7d81,
10386   0x18f9, 0x7d8a, 0x18c7, 0x7d94, 0x1896, 0x7d9e, 0x1865, 0x7da7,
10387   0x1833, 0x7db1, 0x1802, 0x7dba, 0x17d1, 0x7dc4, 0x179f, 0x7dcd,
10388   0x176e, 0x7dd6, 0x173c, 0x7de0, 0x170b, 0x7de9, 0x16da, 0x7df2,
10389   0x16a8, 0x7dfb, 0x1677, 0x7e03, 0x1645, 0x7e0c, 0x1614, 0x7e15,
10390   0x15e2, 0x7e1e, 0x15b1, 0x7e26, 0x157f, 0x7e2f, 0x154d, 0x7e37,
10391   0x151c, 0x7e3f, 0x14ea, 0x7e48, 0x14b9, 0x7e50, 0x1487, 0x7e58,
10392   0x1455, 0x7e60, 0x1424, 0x7e68, 0x13f2, 0x7e70, 0x13c1, 0x7e78,
10393   0x138f, 0x7e7f, 0x135d, 0x7e87, 0x132b, 0x7e8e, 0x12fa, 0x7e96,
10394   0x12c8, 0x7e9d, 0x1296, 0x7ea5, 0x1265, 0x7eac, 0x1233, 0x7eb3,
10395   0x1201, 0x7eba, 0x11cf, 0x7ec1, 0x119e, 0x7ec8, 0x116c, 0x7ecf,
10396   0x113a, 0x7ed6, 0x1108, 0x7edd, 0x10d6, 0x7ee3, 0x10a4, 0x7eea,
10397   0x1073, 0x7ef0, 0x1041, 0x7ef7, 0x100f, 0x7efd, 0xfdd, 0x7f03,
10398   0xfab, 0x7f0a, 0xf79, 0x7f10, 0xf47, 0x7f16, 0xf15, 0x7f1c,
10399   0xee4, 0x7f22, 0xeb2, 0x7f27, 0xe80, 0x7f2d, 0xe4e, 0x7f33,
10400   0xe1c, 0x7f38, 0xdea, 0x7f3e, 0xdb8, 0x7f43, 0xd86, 0x7f49,
10401   0xd54, 0x7f4e, 0xd22, 0x7f53, 0xcf0, 0x7f58, 0xcbe, 0x7f5d,
10402   0xc8c, 0x7f62, 0xc5a, 0x7f67, 0xc28, 0x7f6c, 0xbf6, 0x7f71,
10403   0xbc4, 0x7f75, 0xb92, 0x7f7a, 0xb60, 0x7f7e, 0xb2d, 0x7f83,
10404   0xafb, 0x7f87, 0xac9, 0x7f8b, 0xa97, 0x7f90, 0xa65, 0x7f94,
10405   0xa33, 0x7f98, 0xa01, 0x7f9c, 0x9cf, 0x7fa0, 0x99d, 0x7fa3,
10406   0x96b, 0x7fa7, 0x938, 0x7fab, 0x906, 0x7fae, 0x8d4, 0x7fb2,
10407   0x8a2, 0x7fb5, 0x870, 0x7fb9, 0x83e, 0x7fbc, 0x80c, 0x7fbf,
10408   0x7d9, 0x7fc2, 0x7a7, 0x7fc5, 0x775, 0x7fc8, 0x743, 0x7fcb,
10409   0x711, 0x7fce, 0x6de, 0x7fd1, 0x6ac, 0x7fd3, 0x67a, 0x7fd6,
10410   0x648, 0x7fd9, 0x616, 0x7fdb, 0x5e3, 0x7fdd, 0x5b1, 0x7fe0,
10411   0x57f, 0x7fe2, 0x54d, 0x7fe4, 0x51b, 0x7fe6, 0x4e8, 0x7fe8,
10412   0x4b6, 0x7fea, 0x484, 0x7fec, 0x452, 0x7fed, 0x41f, 0x7fef,
10413   0x3ed, 0x7ff1, 0x3bb, 0x7ff2, 0x389, 0x7ff4, 0x356, 0x7ff5,
10414   0x324, 0x7ff6, 0x2f2, 0x7ff7, 0x2c0, 0x7ff8, 0x28d, 0x7ff9,
10415   0x25b, 0x7ffa, 0x229, 0x7ffb, 0x1f7, 0x7ffc, 0x1c4, 0x7ffd,
10416   0x192, 0x7ffe, 0x160, 0x7ffe, 0x12e, 0x7fff, 0xfb, 0x7fff,
10417   0xc9, 0x7fff, 0x97, 0x7fff, 0x65, 0x7fff, 0x32, 0x7fff,
10418   0x0, 0x7fff, 0xffce, 0x7fff, 0xff9b, 0x7fff, 0xff69, 0x7fff,
10419   0xff37, 0x7fff, 0xff05, 0x7fff, 0xfed2, 0x7fff, 0xfea0, 0x7ffe,
10420   0xfe6e, 0x7ffe, 0xfe3c, 0x7ffd, 0xfe09, 0x7ffc, 0xfdd7, 0x7ffb,
10421   0xfda5, 0x7ffa, 0xfd73, 0x7ff9, 0xfd40, 0x7ff8, 0xfd0e, 0x7ff7,
10422   0xfcdc, 0x7ff6, 0xfcaa, 0x7ff5, 0xfc77, 0x7ff4, 0xfc45, 0x7ff2,
10423   0xfc13, 0x7ff1, 0xfbe1, 0x7fef, 0xfbae, 0x7fed, 0xfb7c, 0x7fec,
10424   0xfb4a, 0x7fea, 0xfb18, 0x7fe8, 0xfae5, 0x7fe6, 0xfab3, 0x7fe4,
10425   0xfa81, 0x7fe2, 0xfa4f, 0x7fe0, 0xfa1d, 0x7fdd, 0xf9ea, 0x7fdb,
10426   0xf9b8, 0x7fd9, 0xf986, 0x7fd6, 0xf954, 0x7fd3, 0xf922, 0x7fd1,
10427   0xf8ef, 0x7fce, 0xf8bd, 0x7fcb, 0xf88b, 0x7fc8, 0xf859, 0x7fc5,
10428   0xf827, 0x7fc2, 0xf7f4, 0x7fbf, 0xf7c2, 0x7fbc, 0xf790, 0x7fb9,
10429   0xf75e, 0x7fb5, 0xf72c, 0x7fb2, 0xf6fa, 0x7fae, 0xf6c8, 0x7fab,
10430   0xf695, 0x7fa7, 0xf663, 0x7fa3, 0xf631, 0x7fa0, 0xf5ff, 0x7f9c,
10431   0xf5cd, 0x7f98, 0xf59b, 0x7f94, 0xf569, 0x7f90, 0xf537, 0x7f8b,
10432   0xf505, 0x7f87, 0xf4d3, 0x7f83, 0xf4a0, 0x7f7e, 0xf46e, 0x7f7a,
10433   0xf43c, 0x7f75, 0xf40a, 0x7f71, 0xf3d8, 0x7f6c, 0xf3a6, 0x7f67,
10434   0xf374, 0x7f62, 0xf342, 0x7f5d, 0xf310, 0x7f58, 0xf2de, 0x7f53,
10435   0xf2ac, 0x7f4e, 0xf27a, 0x7f49, 0xf248, 0x7f43, 0xf216, 0x7f3e,
10436   0xf1e4, 0x7f38, 0xf1b2, 0x7f33, 0xf180, 0x7f2d, 0xf14e, 0x7f27,
10437   0xf11c, 0x7f22, 0xf0eb, 0x7f1c, 0xf0b9, 0x7f16, 0xf087, 0x7f10,
10438   0xf055, 0x7f0a, 0xf023, 0x7f03, 0xeff1, 0x7efd, 0xefbf, 0x7ef7,
10439   0xef8d, 0x7ef0, 0xef5c, 0x7eea, 0xef2a, 0x7ee3, 0xeef8, 0x7edd,
10440   0xeec6, 0x7ed6, 0xee94, 0x7ecf, 0xee62, 0x7ec8, 0xee31, 0x7ec1,
10441   0xedff, 0x7eba, 0xedcd, 0x7eb3, 0xed9b, 0x7eac, 0xed6a, 0x7ea5,
10442   0xed38, 0x7e9d, 0xed06, 0x7e96, 0xecd5, 0x7e8e, 0xeca3, 0x7e87,
10443   0xec71, 0x7e7f, 0xec3f, 0x7e78, 0xec0e, 0x7e70, 0xebdc, 0x7e68,
10444   0xebab, 0x7e60, 0xeb79, 0x7e58, 0xeb47, 0x7e50, 0xeb16, 0x7e48,
10445   0xeae4, 0x7e3f, 0xeab3, 0x7e37, 0xea81, 0x7e2f, 0xea4f, 0x7e26,
10446   0xea1e, 0x7e1e, 0xe9ec, 0x7e15, 0xe9bb, 0x7e0c, 0xe989, 0x7e03,
10447   0xe958, 0x7dfb, 0xe926, 0x7df2, 0xe8f5, 0x7de9, 0xe8c4, 0x7de0,
10448   0xe892, 0x7dd6, 0xe861, 0x7dcd, 0xe82f, 0x7dc4, 0xe7fe, 0x7dba,
10449   0xe7cd, 0x7db1, 0xe79b, 0x7da7, 0xe76a, 0x7d9e, 0xe739, 0x7d94,
10450   0xe707, 0x7d8a, 0xe6d6, 0x7d81, 0xe6a5, 0x7d77, 0xe673, 0x7d6d,
10451   0xe642, 0x7d63, 0xe611, 0x7d58, 0xe5e0, 0x7d4e, 0xe5af, 0x7d44,
10452   0xe57d, 0x7d3a, 0xe54c, 0x7d2f, 0xe51b, 0x7d25, 0xe4ea, 0x7d1a,
10453   0xe4b9, 0x7d0f, 0xe488, 0x7d05, 0xe457, 0x7cfa, 0xe426, 0x7cef,
10454   0xe3f4, 0x7ce4, 0xe3c3, 0x7cd9, 0xe392, 0x7cce, 0xe361, 0x7cc2,
10455   0xe330, 0x7cb7, 0xe2ff, 0x7cac, 0xe2cf, 0x7ca0, 0xe29e, 0x7c95,
10456   0xe26d, 0x7c89, 0xe23c, 0x7c7e, 0xe20b, 0x7c72, 0xe1da, 0x7c66,
10457   0xe1a9, 0x7c5a, 0xe178, 0x7c4e, 0xe148, 0x7c42, 0xe117, 0x7c36,
10458   0xe0e6, 0x7c2a, 0xe0b5, 0x7c1e, 0xe085, 0x7c11, 0xe054, 0x7c05,
10459   0xe023, 0x7bf9, 0xdff2, 0x7bec, 0xdfc2, 0x7bdf, 0xdf91, 0x7bd3,
10460   0xdf61, 0x7bc6, 0xdf30, 0x7bb9, 0xdeff, 0x7bac, 0xdecf, 0x7b9f,
10461   0xde9e, 0x7b92, 0xde6e, 0x7b85, 0xde3d, 0x7b78, 0xde0d, 0x7b6a,
10462   0xdddc, 0x7b5d, 0xddac, 0x7b50, 0xdd7c, 0x7b42, 0xdd4b, 0x7b34,
10463   0xdd1b, 0x7b27, 0xdcea, 0x7b19, 0xdcba, 0x7b0b, 0xdc8a, 0x7afd,
10464   0xdc59, 0x7aef, 0xdc29, 0x7ae1, 0xdbf9, 0x7ad3, 0xdbc9, 0x7ac5,
10465   0xdb99, 0x7ab7, 0xdb68, 0x7aa8, 0xdb38, 0x7a9a, 0xdb08, 0x7a8c,
10466   0xdad8, 0x7a7d, 0xdaa8, 0x7a6e, 0xda78, 0x7a60, 0xda48, 0x7a51,
10467   0xda18, 0x7a42, 0xd9e8, 0x7a33, 0xd9b8, 0x7a24, 0xd988, 0x7a15,
10468   0xd958, 0x7a06, 0xd928, 0x79f7, 0xd8f8, 0x79e7, 0xd8c8, 0x79d8,
10469   0xd898, 0x79c9, 0xd869, 0x79b9, 0xd839, 0x79aa, 0xd809, 0x799a,
10470   0xd7d9, 0x798a, 0xd7aa, 0x797a, 0xd77a, 0x796a, 0xd74a, 0x795b,
10471   0xd71b, 0x794a, 0xd6eb, 0x793a, 0xd6bb, 0x792a, 0xd68c, 0x791a,
10472   0xd65c, 0x790a, 0xd62d, 0x78f9, 0xd5fd, 0x78e9, 0xd5ce, 0x78d8,
10473   0xd59e, 0x78c8, 0xd56f, 0x78b7, 0xd53f, 0x78a6, 0xd510, 0x7895,
10474   0xd4e1, 0x7885, 0xd4b1, 0x7874, 0xd482, 0x7863, 0xd453, 0x7851,
10475   0xd424, 0x7840, 0xd3f4, 0x782f, 0xd3c5, 0x781e, 0xd396, 0x780c,
10476   0xd367, 0x77fb, 0xd338, 0x77e9, 0xd309, 0x77d8, 0xd2da, 0x77c6,
10477   0xd2ab, 0x77b4, 0xd27c, 0x77a2, 0xd24d, 0x7790, 0xd21e, 0x777e,
10478   0xd1ef, 0x776c, 0xd1c0, 0x775a, 0xd191, 0x7748, 0xd162, 0x7736,
10479   0xd134, 0x7723, 0xd105, 0x7711, 0xd0d6, 0x76fe, 0xd0a7, 0x76ec,
10480   0xd079, 0x76d9, 0xd04a, 0x76c7, 0xd01b, 0x76b4, 0xcfed, 0x76a1,
10481   0xcfbe, 0x768e, 0xcf90, 0x767b, 0xcf61, 0x7668, 0xcf33, 0x7655,
10482   0xcf04, 0x7642, 0xced6, 0x762e, 0xcea7, 0x761b, 0xce79, 0x7608,
10483   0xce4b, 0x75f4, 0xce1c, 0x75e1, 0xcdee, 0x75cd, 0xcdc0, 0x75b9,
10484   0xcd92, 0x75a6, 0xcd63, 0x7592, 0xcd35, 0x757e, 0xcd07, 0x756a,
10485   0xccd9, 0x7556, 0xccab, 0x7542, 0xcc7d, 0x752d, 0xcc4f, 0x7519,
10486   0xcc21, 0x7505, 0xcbf3, 0x74f0, 0xcbc5, 0x74dc, 0xcb97, 0x74c7,
10487   0xcb69, 0x74b3, 0xcb3c, 0x749e, 0xcb0e, 0x7489, 0xcae0, 0x7475,
10488   0xcab2, 0x7460, 0xca85, 0x744b, 0xca57, 0x7436, 0xca29, 0x7421,
10489   0xc9fc, 0x740b, 0xc9ce, 0x73f6, 0xc9a1, 0x73e1, 0xc973, 0x73cb,
10490   0xc946, 0x73b6, 0xc918, 0x73a0, 0xc8eb, 0x738b, 0xc8be, 0x7375,
10491   0xc890, 0x735f, 0xc863, 0x734a, 0xc836, 0x7334, 0xc809, 0x731e,
10492   0xc7db, 0x7308, 0xc7ae, 0x72f2, 0xc781, 0x72dc, 0xc754, 0x72c5,
10493   0xc727, 0x72af, 0xc6fa, 0x7299, 0xc6cd, 0x7282, 0xc6a0, 0x726c,
10494   0xc673, 0x7255, 0xc646, 0x723f, 0xc619, 0x7228, 0xc5ed, 0x7211,
10495   0xc5c0, 0x71fa, 0xc593, 0x71e3, 0xc566, 0x71cc, 0xc53a, 0x71b5,
10496   0xc50d, 0x719e, 0xc4e0, 0x7187, 0xc4b4, 0x7170, 0xc487, 0x7158,
10497   0xc45b, 0x7141, 0xc42e, 0x712a, 0xc402, 0x7112, 0xc3d6, 0x70fa,
10498   0xc3a9, 0x70e3, 0xc37d, 0x70cb, 0xc351, 0x70b3, 0xc324, 0x709b,
10499   0xc2f8, 0x7083, 0xc2cc, 0x706b, 0xc2a0, 0x7053, 0xc274, 0x703b,
10500   0xc248, 0x7023, 0xc21c, 0x700b, 0xc1f0, 0x6ff2, 0xc1c4, 0x6fda,
10501   0xc198, 0x6fc2, 0xc16c, 0x6fa9, 0xc140, 0x6f90, 0xc114, 0x6f78,
10502   0xc0e9, 0x6f5f, 0xc0bd, 0x6f46, 0xc091, 0x6f2d, 0xc066, 0x6f14,
10503   0xc03a, 0x6efb, 0xc00f, 0x6ee2, 0xbfe3, 0x6ec9, 0xbfb8, 0x6eb0,
10504   0xbf8c, 0x6e97, 0xbf61, 0x6e7d, 0xbf35, 0x6e64, 0xbf0a, 0x6e4a,
10505   0xbedf, 0x6e31, 0xbeb3, 0x6e17, 0xbe88, 0x6dfe, 0xbe5d, 0x6de4,
10506   0xbe32, 0x6dca, 0xbe07, 0x6db0, 0xbddc, 0x6d96, 0xbdb1, 0x6d7c,
10507   0xbd86, 0x6d62, 0xbd5b, 0x6d48, 0xbd30, 0x6d2e, 0xbd05, 0x6d14,
10508   0xbcda, 0x6cf9, 0xbcaf, 0x6cdf, 0xbc85, 0x6cc4, 0xbc5a, 0x6caa,
10509   0xbc2f, 0x6c8f, 0xbc05, 0x6c75, 0xbbda, 0x6c5a, 0xbbb0, 0x6c3f,
10510   0xbb85, 0x6c24, 0xbb5b, 0x6c09, 0xbb30, 0x6bee, 0xbb06, 0x6bd3,
10511   0xbadc, 0x6bb8, 0xbab1, 0x6b9d, 0xba87, 0x6b82, 0xba5d, 0x6b66,
10512   0xba33, 0x6b4b, 0xba09, 0x6b30, 0xb9df, 0x6b14, 0xb9b5, 0x6af8,
10513   0xb98b, 0x6add, 0xb961, 0x6ac1, 0xb937, 0x6aa5, 0xb90d, 0x6a89,
10514   0xb8e3, 0x6a6e, 0xb8b9, 0x6a52, 0xb890, 0x6a36, 0xb866, 0x6a1a,
10515   0xb83c, 0x69fd, 0xb813, 0x69e1, 0xb7e9, 0x69c5, 0xb7c0, 0x69a9,
10516   0xb796, 0x698c, 0xb76d, 0x6970, 0xb743, 0x6953, 0xb71a, 0x6937,
10517   0xb6f1, 0x691a, 0xb6c7, 0x68fd, 0xb69e, 0x68e0, 0xb675, 0x68c4,
10518   0xb64c, 0x68a7, 0xb623, 0x688a, 0xb5fa, 0x686d, 0xb5d1, 0x6850,
10519   0xb5a8, 0x6832, 0xb57f, 0x6815, 0xb556, 0x67f8, 0xb52d, 0x67da,
10520   0xb505, 0x67bd, 0xb4dc, 0x67a0, 0xb4b3, 0x6782, 0xb48b, 0x6764,
10521   0xb462, 0x6747, 0xb439, 0x6729, 0xb411, 0x670b, 0xb3e9, 0x66ed,
10522   0xb3c0, 0x66d0, 0xb398, 0x66b2, 0xb36f, 0x6693, 0xb347, 0x6675,
10523   0xb31f, 0x6657, 0xb2f7, 0x6639, 0xb2cf, 0x661b, 0xb2a7, 0x65fc,
10524   0xb27f, 0x65de, 0xb257, 0x65c0, 0xb22f, 0x65a1, 0xb207, 0x6582,
10525   0xb1df, 0x6564, 0xb1b7, 0x6545, 0xb18f, 0x6526, 0xb168, 0x6507,
10526   0xb140, 0x64e9, 0xb118, 0x64ca, 0xb0f1, 0x64ab, 0xb0c9, 0x648b,
10527   0xb0a2, 0x646c, 0xb07b, 0x644d, 0xb053, 0x642e, 0xb02c, 0x640f,
10528   0xb005, 0x63ef, 0xafdd, 0x63d0, 0xafb6, 0x63b0, 0xaf8f, 0x6391,
10529   0xaf68, 0x6371, 0xaf41, 0x6351, 0xaf1a, 0x6332, 0xaef3, 0x6312,
10530   0xaecc, 0x62f2, 0xaea5, 0x62d2, 0xae7f, 0x62b2, 0xae58, 0x6292,
10531   0xae31, 0x6272, 0xae0b, 0x6252, 0xade4, 0x6232, 0xadbd, 0x6211,
10532   0xad97, 0x61f1, 0xad70, 0x61d1, 0xad4a, 0x61b0, 0xad24, 0x6190,
10533   0xacfd, 0x616f, 0xacd7, 0x614e, 0xacb1, 0x612e, 0xac8b, 0x610d,
10534   0xac65, 0x60ec, 0xac3f, 0x60cb, 0xac19, 0x60aa, 0xabf3, 0x6089,
10535   0xabcd, 0x6068, 0xaba7, 0x6047, 0xab81, 0x6026, 0xab5c, 0x6005,
10536   0xab36, 0x5fe4, 0xab10, 0x5fc2, 0xaaeb, 0x5fa1, 0xaac5, 0x5f80,
10537   0xaaa0, 0x5f5e, 0xaa7a, 0x5f3c, 0xaa55, 0x5f1b, 0xaa30, 0x5ef9,
10538   0xaa0a, 0x5ed7, 0xa9e5, 0x5eb6, 0xa9c0, 0x5e94, 0xa99b, 0x5e72,
10539   0xa976, 0x5e50, 0xa951, 0x5e2e, 0xa92c, 0x5e0c, 0xa907, 0x5dea,
10540   0xa8e2, 0x5dc8, 0xa8bd, 0x5da5, 0xa899, 0x5d83, 0xa874, 0x5d61,
10541   0xa84f, 0x5d3e, 0xa82b, 0x5d1c, 0xa806, 0x5cf9, 0xa7e2, 0x5cd7,
10542   0xa7bd, 0x5cb4, 0xa799, 0x5c91, 0xa774, 0x5c6f, 0xa750, 0x5c4c,
10543   0xa72c, 0x5c29, 0xa708, 0x5c06, 0xa6e4, 0x5be3, 0xa6c0, 0x5bc0,
10544   0xa69c, 0x5b9d, 0xa678, 0x5b7a, 0xa654, 0x5b57, 0xa630, 0x5b34,
10545   0xa60c, 0x5b10, 0xa5e8, 0x5aed, 0xa5c5, 0x5ac9, 0xa5a1, 0x5aa6,
10546   0xa57e, 0x5a82, 0xa55a, 0x5a5f, 0xa537, 0x5a3b, 0xa513, 0x5a18,
10547   0xa4f0, 0x59f4, 0xa4cc, 0x59d0, 0xa4a9, 0x59ac, 0xa486, 0x5988,
10548   0xa463, 0x5964, 0xa440, 0x5940, 0xa41d, 0x591c, 0xa3fa, 0x58f8,
10549   0xa3d7, 0x58d4, 0xa3b4, 0x58b0, 0xa391, 0x588c, 0xa36f, 0x5867,
10550   0xa34c, 0x5843, 0xa329, 0x581e, 0xa307, 0x57fa, 0xa2e4, 0x57d5,
10551   0xa2c2, 0x57b1, 0xa29f, 0x578c, 0xa27d, 0x5767, 0xa25b, 0x5743,
10552   0xa238, 0x571e, 0xa216, 0x56f9, 0xa1f4, 0x56d4, 0xa1d2, 0x56af,
10553   0xa1b0, 0x568a, 0xa18e, 0x5665, 0xa16c, 0x5640, 0xa14a, 0x561b,
10554   0xa129, 0x55f6, 0xa107, 0x55d0, 0xa0e5, 0x55ab, 0xa0c4, 0x5586,
10555   0xa0a2, 0x5560, 0xa080, 0x553b, 0xa05f, 0x5515, 0xa03e, 0x54f0,
10556   0xa01c, 0x54ca, 0x9ffb, 0x54a4, 0x9fda, 0x547f, 0x9fb9, 0x5459,
10557   0x9f98, 0x5433, 0x9f77, 0x540d, 0x9f56, 0x53e7, 0x9f35, 0x53c1,
10558   0x9f14, 0x539b, 0x9ef3, 0x5375, 0x9ed2, 0x534f, 0x9eb2, 0x5329,
10559   0x9e91, 0x5303, 0x9e70, 0x52dc, 0x9e50, 0x52b6, 0x9e2f, 0x5290,
10560   0x9e0f, 0x5269, 0x9def, 0x5243, 0x9dce, 0x521c, 0x9dae, 0x51f5,
10561   0x9d8e, 0x51cf, 0x9d6e, 0x51a8, 0x9d4e, 0x5181, 0x9d2e, 0x515b,
10562   0x9d0e, 0x5134, 0x9cee, 0x510d, 0x9cce, 0x50e6, 0x9caf, 0x50bf,
10563   0x9c8f, 0x5098, 0x9c6f, 0x5071, 0x9c50, 0x504a, 0x9c30, 0x5023,
10564   0x9c11, 0x4ffb, 0x9bf1, 0x4fd4, 0x9bd2, 0x4fad, 0x9bb3, 0x4f85,
10565   0x9b94, 0x4f5e, 0x9b75, 0x4f37, 0x9b55, 0x4f0f, 0x9b36, 0x4ee8,
10566   0x9b17, 0x4ec0, 0x9af9, 0x4e98, 0x9ada, 0x4e71, 0x9abb, 0x4e49,
10567   0x9a9c, 0x4e21, 0x9a7e, 0x4df9, 0x9a5f, 0x4dd1, 0x9a40, 0x4da9,
10568   0x9a22, 0x4d81, 0x9a04, 0x4d59, 0x99e5, 0x4d31, 0x99c7, 0x4d09,
10569   0x99a9, 0x4ce1, 0x998b, 0x4cb9, 0x996d, 0x4c91, 0x994e, 0x4c68,
10570   0x9930, 0x4c40, 0x9913, 0x4c17, 0x98f5, 0x4bef, 0x98d7, 0x4bc7,
10571   0x98b9, 0x4b9e, 0x989c, 0x4b75, 0x987e, 0x4b4d, 0x9860, 0x4b24,
10572   0x9843, 0x4afb, 0x9826, 0x4ad3, 0x9808, 0x4aaa, 0x97eb, 0x4a81,
10573   0x97ce, 0x4a58, 0x97b0, 0x4a2f, 0x9793, 0x4a06, 0x9776, 0x49dd,
10574   0x9759, 0x49b4, 0x973c, 0x498b, 0x9720, 0x4962, 0x9703, 0x4939,
10575   0x96e6, 0x490f, 0x96c9, 0x48e6, 0x96ad, 0x48bd, 0x9690, 0x4893,
10576   0x9674, 0x486a, 0x9657, 0x4840, 0x963b, 0x4817, 0x961f, 0x47ed,
10577   0x9603, 0x47c4, 0x95e6, 0x479a, 0x95ca, 0x4770, 0x95ae, 0x4747,
10578   0x9592, 0x471d, 0x9577, 0x46f3, 0x955b, 0x46c9, 0x953f, 0x469f,
10579   0x9523, 0x4675, 0x9508, 0x464b, 0x94ec, 0x4621, 0x94d0, 0x45f7,
10580   0x94b5, 0x45cd, 0x949a, 0x45a3, 0x947e, 0x4579, 0x9463, 0x454f,
10581   0x9448, 0x4524, 0x942d, 0x44fa, 0x9412, 0x44d0, 0x93f7, 0x44a5,
10582   0x93dc, 0x447b, 0x93c1, 0x4450, 0x93a6, 0x4426, 0x938b, 0x43fb,
10583   0x9371, 0x43d1, 0x9356, 0x43a6, 0x933c, 0x437b, 0x9321, 0x4351,
10584   0x9307, 0x4326, 0x92ec, 0x42fb, 0x92d2, 0x42d0, 0x92b8, 0x42a5,
10585   0x929e, 0x427a, 0x9284, 0x424f, 0x926a, 0x4224, 0x9250, 0x41f9,
10586   0x9236, 0x41ce, 0x921c, 0x41a3, 0x9202, 0x4178, 0x91e9, 0x414d,
10587   0x91cf, 0x4121, 0x91b6, 0x40f6, 0x919c, 0x40cb, 0x9183, 0x409f,
10588   0x9169, 0x4074, 0x9150, 0x4048, 0x9137, 0x401d, 0x911e, 0x3ff1,
10589   0x9105, 0x3fc6, 0x90ec, 0x3f9a, 0x90d3, 0x3f6f, 0x90ba, 0x3f43,
10590   0x90a1, 0x3f17, 0x9088, 0x3eec, 0x9070, 0x3ec0, 0x9057, 0x3e94,
10591   0x903e, 0x3e68, 0x9026, 0x3e3c, 0x900e, 0x3e10, 0x8ff5, 0x3de4,
10592   0x8fdd, 0x3db8, 0x8fc5, 0x3d8c, 0x8fad, 0x3d60, 0x8f95, 0x3d34,
10593   0x8f7d, 0x3d08, 0x8f65, 0x3cdc, 0x8f4d, 0x3caf, 0x8f35, 0x3c83,
10594   0x8f1d, 0x3c57, 0x8f06, 0x3c2a, 0x8eee, 0x3bfe, 0x8ed6, 0x3bd2,
10595   0x8ebf, 0x3ba5, 0x8ea8, 0x3b79, 0x8e90, 0x3b4c, 0x8e79, 0x3b20,
10596   0x8e62, 0x3af3, 0x8e4b, 0x3ac6, 0x8e34, 0x3a9a, 0x8e1d, 0x3a6d,
10597   0x8e06, 0x3a40, 0x8def, 0x3a13, 0x8dd8, 0x39e7, 0x8dc1, 0x39ba,
10598   0x8dab, 0x398d, 0x8d94, 0x3960, 0x8d7e, 0x3933, 0x8d67, 0x3906,
10599   0x8d51, 0x38d9, 0x8d3b, 0x38ac, 0x8d24, 0x387f, 0x8d0e, 0x3852,
10600   0x8cf8, 0x3825, 0x8ce2, 0x37f7, 0x8ccc, 0x37ca, 0x8cb6, 0x379d,
10601   0x8ca1, 0x3770, 0x8c8b, 0x3742, 0x8c75, 0x3715, 0x8c60, 0x36e8,
10602   0x8c4a, 0x36ba, 0x8c35, 0x368d, 0x8c1f, 0x365f, 0x8c0a, 0x3632,
10603   0x8bf5, 0x3604, 0x8bdf, 0x35d7, 0x8bca, 0x35a9, 0x8bb5, 0x357b,
10604   0x8ba0, 0x354e, 0x8b8b, 0x3520, 0x8b77, 0x34f2, 0x8b62, 0x34c4,
10605   0x8b4d, 0x3497, 0x8b39, 0x3469, 0x8b24, 0x343b, 0x8b10, 0x340d,
10606   0x8afb, 0x33df, 0x8ae7, 0x33b1, 0x8ad3, 0x3383, 0x8abe, 0x3355,
10607   0x8aaa, 0x3327, 0x8a96, 0x32f9, 0x8a82, 0x32cb, 0x8a6e, 0x329d,
10608   0x8a5a, 0x326e, 0x8a47, 0x3240, 0x8a33, 0x3212, 0x8a1f, 0x31e4,
10609   0x8a0c, 0x31b5, 0x89f8, 0x3187, 0x89e5, 0x3159, 0x89d2, 0x312a,
10610   0x89be, 0x30fc, 0x89ab, 0x30cd, 0x8998, 0x309f, 0x8985, 0x3070,
10611   0x8972, 0x3042, 0x895f, 0x3013, 0x894c, 0x2fe5, 0x8939, 0x2fb6,
10612   0x8927, 0x2f87, 0x8914, 0x2f59, 0x8902, 0x2f2a, 0x88ef, 0x2efb,
10613   0x88dd, 0x2ecc, 0x88ca, 0x2e9e, 0x88b8, 0x2e6f, 0x88a6, 0x2e40,
10614   0x8894, 0x2e11, 0x8882, 0x2de2, 0x8870, 0x2db3, 0x885e, 0x2d84,
10615   0x884c, 0x2d55, 0x883a, 0x2d26, 0x8828, 0x2cf7, 0x8817, 0x2cc8,
10616   0x8805, 0x2c99, 0x87f4, 0x2c6a, 0x87e2, 0x2c3b, 0x87d1, 0x2c0c,
10617   0x87c0, 0x2bdc, 0x87af, 0x2bad, 0x879d, 0x2b7e, 0x878c, 0x2b4f,
10618   0x877b, 0x2b1f, 0x876b, 0x2af0, 0x875a, 0x2ac1, 0x8749, 0x2a91,
10619   0x8738, 0x2a62, 0x8728, 0x2a32, 0x8717, 0x2a03, 0x8707, 0x29d3,
10620   0x86f6, 0x29a4, 0x86e6, 0x2974, 0x86d6, 0x2945, 0x86c6, 0x2915,
10621   0x86b6, 0x28e5, 0x86a5, 0x28b6, 0x8696, 0x2886, 0x8686, 0x2856,
10622   0x8676, 0x2827, 0x8666, 0x27f7, 0x8656, 0x27c7, 0x8647, 0x2797,
10623   0x8637, 0x2768, 0x8628, 0x2738, 0x8619, 0x2708, 0x8609, 0x26d8,
10624   0x85fa, 0x26a8, 0x85eb, 0x2678, 0x85dc, 0x2648, 0x85cd, 0x2618,
10625   0x85be, 0x25e8, 0x85af, 0x25b8, 0x85a0, 0x2588, 0x8592, 0x2558,
10626   0x8583, 0x2528, 0x8574, 0x24f8, 0x8566, 0x24c8, 0x8558, 0x2498,
10627   0x8549, 0x2467, 0x853b, 0x2437, 0x852d, 0x2407, 0x851f, 0x23d7,
10628   0x8511, 0x23a7, 0x8503, 0x2376, 0x84f5, 0x2346, 0x84e7, 0x2316,
10629   0x84d9, 0x22e5, 0x84cc, 0x22b5, 0x84be, 0x2284, 0x84b0, 0x2254,
10630   0x84a3, 0x2224, 0x8496, 0x21f3, 0x8488, 0x21c3, 0x847b, 0x2192,
10631   0x846e, 0x2162, 0x8461, 0x2131, 0x8454, 0x2101, 0x8447, 0x20d0,
10632   0x843a, 0x209f, 0x842d, 0x206f, 0x8421, 0x203e, 0x8414, 0x200e,
10633   0x8407, 0x1fdd, 0x83fb, 0x1fac, 0x83ef, 0x1f7b, 0x83e2, 0x1f4b,
10634   0x83d6, 0x1f1a, 0x83ca, 0x1ee9, 0x83be, 0x1eb8, 0x83b2, 0x1e88,
10635   0x83a6, 0x1e57, 0x839a, 0x1e26, 0x838e, 0x1df5, 0x8382, 0x1dc4,
10636   0x8377, 0x1d93, 0x836b, 0x1d62, 0x8360, 0x1d31, 0x8354, 0x1d01,
10637   0x8349, 0x1cd0, 0x833e, 0x1c9f, 0x8332, 0x1c6e, 0x8327, 0x1c3d,
10638   0x831c, 0x1c0c, 0x8311, 0x1bda, 0x8306, 0x1ba9, 0x82fb, 0x1b78,
10639   0x82f1, 0x1b47, 0x82e6, 0x1b16, 0x82db, 0x1ae5, 0x82d1, 0x1ab4,
10640   0x82c6, 0x1a83, 0x82bc, 0x1a51, 0x82b2, 0x1a20, 0x82a8, 0x19ef,
10641   0x829d, 0x19be, 0x8293, 0x198d, 0x8289, 0x195b, 0x827f, 0x192a,
10642   0x8276, 0x18f9, 0x826c, 0x18c7, 0x8262, 0x1896, 0x8259, 0x1865,
10643   0x824f, 0x1833, 0x8246, 0x1802, 0x823c, 0x17d1, 0x8233, 0x179f,
10644   0x822a, 0x176e, 0x8220, 0x173c, 0x8217, 0x170b, 0x820e, 0x16da,
10645   0x8205, 0x16a8, 0x81fd, 0x1677, 0x81f4, 0x1645, 0x81eb, 0x1614,
10646   0x81e2, 0x15e2, 0x81da, 0x15b1, 0x81d1, 0x157f, 0x81c9, 0x154d,
10647   0x81c1, 0x151c, 0x81b8, 0x14ea, 0x81b0, 0x14b9, 0x81a8, 0x1487,
10648   0x81a0, 0x1455, 0x8198, 0x1424, 0x8190, 0x13f2, 0x8188, 0x13c1,
10649   0x8181, 0x138f, 0x8179, 0x135d, 0x8172, 0x132b, 0x816a, 0x12fa,
10650   0x8163, 0x12c8, 0x815b, 0x1296, 0x8154, 0x1265, 0x814d, 0x1233,
10651   0x8146, 0x1201, 0x813f, 0x11cf, 0x8138, 0x119e, 0x8131, 0x116c,
10652   0x812a, 0x113a, 0x8123, 0x1108, 0x811d, 0x10d6, 0x8116, 0x10a4,
10653   0x8110, 0x1073, 0x8109, 0x1041, 0x8103, 0x100f, 0x80fd, 0xfdd,
10654   0x80f6, 0xfab, 0x80f0, 0xf79, 0x80ea, 0xf47, 0x80e4, 0xf15,
10655   0x80de, 0xee4, 0x80d9, 0xeb2, 0x80d3, 0xe80, 0x80cd, 0xe4e,
10656   0x80c8, 0xe1c, 0x80c2, 0xdea, 0x80bd, 0xdb8, 0x80b7, 0xd86,
10657   0x80b2, 0xd54, 0x80ad, 0xd22, 0x80a8, 0xcf0, 0x80a3, 0xcbe,
10658   0x809e, 0xc8c, 0x8099, 0xc5a, 0x8094, 0xc28, 0x808f, 0xbf6,
10659   0x808b, 0xbc4, 0x8086, 0xb92, 0x8082, 0xb60, 0x807d, 0xb2d,
10660   0x8079, 0xafb, 0x8075, 0xac9, 0x8070, 0xa97, 0x806c, 0xa65,
10661   0x8068, 0xa33, 0x8064, 0xa01, 0x8060, 0x9cf, 0x805d, 0x99d,
10662   0x8059, 0x96b, 0x8055, 0x938, 0x8052, 0x906, 0x804e, 0x8d4,
10663   0x804b, 0x8a2, 0x8047, 0x870, 0x8044, 0x83e, 0x8041, 0x80c,
10664   0x803e, 0x7d9, 0x803b, 0x7a7, 0x8038, 0x775, 0x8035, 0x743,
10665   0x8032, 0x711, 0x802f, 0x6de, 0x802d, 0x6ac, 0x802a, 0x67a,
10666   0x8027, 0x648, 0x8025, 0x616, 0x8023, 0x5e3, 0x8020, 0x5b1,
10667   0x801e, 0x57f, 0x801c, 0x54d, 0x801a, 0x51b, 0x8018, 0x4e8,
10668   0x8016, 0x4b6, 0x8014, 0x484, 0x8013, 0x452, 0x8011, 0x41f,
10669   0x800f, 0x3ed, 0x800e, 0x3bb, 0x800c, 0x389, 0x800b, 0x356,
10670   0x800a, 0x324, 0x8009, 0x2f2, 0x8008, 0x2c0, 0x8007, 0x28d,
10671   0x8006, 0x25b, 0x8005, 0x229, 0x8004, 0x1f7, 0x8003, 0x1c4,
10672   0x8002, 0x192, 0x8002, 0x160, 0x8001, 0x12e, 0x8001, 0xfb,
10673   0x8001, 0xc9, 0x8000, 0x97, 0x8000, 0x65, 0x8000, 0x32,
10674   0x8000, 0x0, 0x8000, 0xffce, 0x8000, 0xff9b, 0x8000, 0xff69,
10675   0x8001, 0xff37, 0x8001, 0xff05, 0x8001, 0xfed2, 0x8002, 0xfea0,
10676   0x8002, 0xfe6e, 0x8003, 0xfe3c, 0x8004, 0xfe09, 0x8005, 0xfdd7,
10677   0x8006, 0xfda5, 0x8007, 0xfd73, 0x8008, 0xfd40, 0x8009, 0xfd0e,
10678   0x800a, 0xfcdc, 0x800b, 0xfcaa, 0x800c, 0xfc77, 0x800e, 0xfc45,
10679   0x800f, 0xfc13, 0x8011, 0xfbe1, 0x8013, 0xfbae, 0x8014, 0xfb7c,
10680   0x8016, 0xfb4a, 0x8018, 0xfb18, 0x801a, 0xfae5, 0x801c, 0xfab3,
10681   0x801e, 0xfa81, 0x8020, 0xfa4f, 0x8023, 0xfa1d, 0x8025, 0xf9ea,
10682   0x8027, 0xf9b8, 0x802a, 0xf986, 0x802d, 0xf954, 0x802f, 0xf922,
10683   0x8032, 0xf8ef, 0x8035, 0xf8bd, 0x8038, 0xf88b, 0x803b, 0xf859,
10684   0x803e, 0xf827, 0x8041, 0xf7f4, 0x8044, 0xf7c2, 0x8047, 0xf790,
10685   0x804b, 0xf75e, 0x804e, 0xf72c, 0x8052, 0xf6fa, 0x8055, 0xf6c8,
10686   0x8059, 0xf695, 0x805d, 0xf663, 0x8060, 0xf631, 0x8064, 0xf5ff,
10687   0x8068, 0xf5cd, 0x806c, 0xf59b, 0x8070, 0xf569, 0x8075, 0xf537,
10688   0x8079, 0xf505, 0x807d, 0xf4d3, 0x8082, 0xf4a0, 0x8086, 0xf46e,
10689   0x808b, 0xf43c, 0x808f, 0xf40a, 0x8094, 0xf3d8, 0x8099, 0xf3a6,
10690   0x809e, 0xf374, 0x80a3, 0xf342, 0x80a8, 0xf310, 0x80ad, 0xf2de,
10691   0x80b2, 0xf2ac, 0x80b7, 0xf27a, 0x80bd, 0xf248, 0x80c2, 0xf216,
10692   0x80c8, 0xf1e4, 0x80cd, 0xf1b2, 0x80d3, 0xf180, 0x80d9, 0xf14e,
10693   0x80de, 0xf11c, 0x80e4, 0xf0eb, 0x80ea, 0xf0b9, 0x80f0, 0xf087,
10694   0x80f6, 0xf055, 0x80fd, 0xf023, 0x8103, 0xeff1, 0x8109, 0xefbf,
10695   0x8110, 0xef8d, 0x8116, 0xef5c, 0x811d, 0xef2a, 0x8123, 0xeef8,
10696   0x812a, 0xeec6, 0x8131, 0xee94, 0x8138, 0xee62, 0x813f, 0xee31,
10697   0x8146, 0xedff, 0x814d, 0xedcd, 0x8154, 0xed9b, 0x815b, 0xed6a,
10698   0x8163, 0xed38, 0x816a, 0xed06, 0x8172, 0xecd5, 0x8179, 0xeca3,
10699   0x8181, 0xec71, 0x8188, 0xec3f, 0x8190, 0xec0e, 0x8198, 0xebdc,
10700   0x81a0, 0xebab, 0x81a8, 0xeb79, 0x81b0, 0xeb47, 0x81b8, 0xeb16,
10701   0x81c1, 0xeae4, 0x81c9, 0xeab3, 0x81d1, 0xea81, 0x81da, 0xea4f,
10702   0x81e2, 0xea1e, 0x81eb, 0xe9ec, 0x81f4, 0xe9bb, 0x81fd, 0xe989,
10703   0x8205, 0xe958, 0x820e, 0xe926, 0x8217, 0xe8f5, 0x8220, 0xe8c4,
10704   0x822a, 0xe892, 0x8233, 0xe861, 0x823c, 0xe82f, 0x8246, 0xe7fe,
10705   0x824f, 0xe7cd, 0x8259, 0xe79b, 0x8262, 0xe76a, 0x826c, 0xe739,
10706   0x8276, 0xe707, 0x827f, 0xe6d6, 0x8289, 0xe6a5, 0x8293, 0xe673,
10707   0x829d, 0xe642, 0x82a8, 0xe611, 0x82b2, 0xe5e0, 0x82bc, 0xe5af,
10708   0x82c6, 0xe57d, 0x82d1, 0xe54c, 0x82db, 0xe51b, 0x82e6, 0xe4ea,
10709   0x82f1, 0xe4b9, 0x82fb, 0xe488, 0x8306, 0xe457, 0x8311, 0xe426,
10710   0x831c, 0xe3f4, 0x8327, 0xe3c3, 0x8332, 0xe392, 0x833e, 0xe361,
10711   0x8349, 0xe330, 0x8354, 0xe2ff, 0x8360, 0xe2cf, 0x836b, 0xe29e,
10712   0x8377, 0xe26d, 0x8382, 0xe23c, 0x838e, 0xe20b, 0x839a, 0xe1da,
10713   0x83a6, 0xe1a9, 0x83b2, 0xe178, 0x83be, 0xe148, 0x83ca, 0xe117,
10714   0x83d6, 0xe0e6, 0x83e2, 0xe0b5, 0x83ef, 0xe085, 0x83fb, 0xe054,
10715   0x8407, 0xe023, 0x8414, 0xdff2, 0x8421, 0xdfc2, 0x842d, 0xdf91,
10716   0x843a, 0xdf61, 0x8447, 0xdf30, 0x8454, 0xdeff, 0x8461, 0xdecf,
10717   0x846e, 0xde9e, 0x847b, 0xde6e, 0x8488, 0xde3d, 0x8496, 0xde0d,
10718   0x84a3, 0xdddc, 0x84b0, 0xddac, 0x84be, 0xdd7c, 0x84cc, 0xdd4b,
10719   0x84d9, 0xdd1b, 0x84e7, 0xdcea, 0x84f5, 0xdcba, 0x8503, 0xdc8a,
10720   0x8511, 0xdc59, 0x851f, 0xdc29, 0x852d, 0xdbf9, 0x853b, 0xdbc9,
10721   0x8549, 0xdb99, 0x8558, 0xdb68, 0x8566, 0xdb38, 0x8574, 0xdb08,
10722   0x8583, 0xdad8, 0x8592, 0xdaa8, 0x85a0, 0xda78, 0x85af, 0xda48,
10723   0x85be, 0xda18, 0x85cd, 0xd9e8, 0x85dc, 0xd9b8, 0x85eb, 0xd988,
10724   0x85fa, 0xd958, 0x8609, 0xd928, 0x8619, 0xd8f8, 0x8628, 0xd8c8,
10725   0x8637, 0xd898, 0x8647, 0xd869, 0x8656, 0xd839, 0x8666, 0xd809,
10726   0x8676, 0xd7d9, 0x8686, 0xd7aa, 0x8696, 0xd77a, 0x86a5, 0xd74a,
10727   0x86b6, 0xd71b, 0x86c6, 0xd6eb, 0x86d6, 0xd6bb, 0x86e6, 0xd68c,
10728   0x86f6, 0xd65c, 0x8707, 0xd62d, 0x8717, 0xd5fd, 0x8728, 0xd5ce,
10729   0x8738, 0xd59e, 0x8749, 0xd56f, 0x875a, 0xd53f, 0x876b, 0xd510,
10730   0x877b, 0xd4e1, 0x878c, 0xd4b1, 0x879d, 0xd482, 0x87af, 0xd453,
10731   0x87c0, 0xd424, 0x87d1, 0xd3f4, 0x87e2, 0xd3c5, 0x87f4, 0xd396,
10732   0x8805, 0xd367, 0x8817, 0xd338, 0x8828, 0xd309, 0x883a, 0xd2da,
10733   0x884c, 0xd2ab, 0x885e, 0xd27c, 0x8870, 0xd24d, 0x8882, 0xd21e,
10734   0x8894, 0xd1ef, 0x88a6, 0xd1c0, 0x88b8, 0xd191, 0x88ca, 0xd162,
10735   0x88dd, 0xd134, 0x88ef, 0xd105, 0x8902, 0xd0d6, 0x8914, 0xd0a7,
10736   0x8927, 0xd079, 0x8939, 0xd04a, 0x894c, 0xd01b, 0x895f, 0xcfed,
10737   0x8972, 0xcfbe, 0x8985, 0xcf90, 0x8998, 0xcf61, 0x89ab, 0xcf33,
10738   0x89be, 0xcf04, 0x89d2, 0xced6, 0x89e5, 0xcea7, 0x89f8, 0xce79,
10739   0x8a0c, 0xce4b, 0x8a1f, 0xce1c, 0x8a33, 0xcdee, 0x8a47, 0xcdc0,
10740   0x8a5a, 0xcd92, 0x8a6e, 0xcd63, 0x8a82, 0xcd35, 0x8a96, 0xcd07,
10741   0x8aaa, 0xccd9, 0x8abe, 0xccab, 0x8ad3, 0xcc7d, 0x8ae7, 0xcc4f,
10742   0x8afb, 0xcc21, 0x8b10, 0xcbf3, 0x8b24, 0xcbc5, 0x8b39, 0xcb97,
10743   0x8b4d, 0xcb69, 0x8b62, 0xcb3c, 0x8b77, 0xcb0e, 0x8b8b, 0xcae0,
10744   0x8ba0, 0xcab2, 0x8bb5, 0xca85, 0x8bca, 0xca57, 0x8bdf, 0xca29,
10745   0x8bf5, 0xc9fc, 0x8c0a, 0xc9ce, 0x8c1f, 0xc9a1, 0x8c35, 0xc973,
10746   0x8c4a, 0xc946, 0x8c60, 0xc918, 0x8c75, 0xc8eb, 0x8c8b, 0xc8be,
10747   0x8ca1, 0xc890, 0x8cb6, 0xc863, 0x8ccc, 0xc836, 0x8ce2, 0xc809,
10748   0x8cf8, 0xc7db, 0x8d0e, 0xc7ae, 0x8d24, 0xc781, 0x8d3b, 0xc754,
10749   0x8d51, 0xc727, 0x8d67, 0xc6fa, 0x8d7e, 0xc6cd, 0x8d94, 0xc6a0,
10750   0x8dab, 0xc673, 0x8dc1, 0xc646, 0x8dd8, 0xc619, 0x8def, 0xc5ed,
10751   0x8e06, 0xc5c0, 0x8e1d, 0xc593, 0x8e34, 0xc566, 0x8e4b, 0xc53a,
10752   0x8e62, 0xc50d, 0x8e79, 0xc4e0, 0x8e90, 0xc4b4, 0x8ea8, 0xc487,
10753   0x8ebf, 0xc45b, 0x8ed6, 0xc42e, 0x8eee, 0xc402, 0x8f06, 0xc3d6,
10754   0x8f1d, 0xc3a9, 0x8f35, 0xc37d, 0x8f4d, 0xc351, 0x8f65, 0xc324,
10755   0x8f7d, 0xc2f8, 0x8f95, 0xc2cc, 0x8fad, 0xc2a0, 0x8fc5, 0xc274,
10756   0x8fdd, 0xc248, 0x8ff5, 0xc21c, 0x900e, 0xc1f0, 0x9026, 0xc1c4,
10757   0x903e, 0xc198, 0x9057, 0xc16c, 0x9070, 0xc140, 0x9088, 0xc114,
10758   0x90a1, 0xc0e9, 0x90ba, 0xc0bd, 0x90d3, 0xc091, 0x90ec, 0xc066,
10759   0x9105, 0xc03a, 0x911e, 0xc00f, 0x9137, 0xbfe3, 0x9150, 0xbfb8,
10760   0x9169, 0xbf8c, 0x9183, 0xbf61, 0x919c, 0xbf35, 0x91b6, 0xbf0a,
10761   0x91cf, 0xbedf, 0x91e9, 0xbeb3, 0x9202, 0xbe88, 0x921c, 0xbe5d,
10762   0x9236, 0xbe32, 0x9250, 0xbe07, 0x926a, 0xbddc, 0x9284, 0xbdb1,
10763   0x929e, 0xbd86, 0x92b8, 0xbd5b, 0x92d2, 0xbd30, 0x92ec, 0xbd05,
10764   0x9307, 0xbcda, 0x9321, 0xbcaf, 0x933c, 0xbc85, 0x9356, 0xbc5a,
10765   0x9371, 0xbc2f, 0x938b, 0xbc05, 0x93a6, 0xbbda, 0x93c1, 0xbbb0,
10766   0x93dc, 0xbb85, 0x93f7, 0xbb5b, 0x9412, 0xbb30, 0x942d, 0xbb06,
10767   0x9448, 0xbadc, 0x9463, 0xbab1, 0x947e, 0xba87, 0x949a, 0xba5d,
10768   0x94b5, 0xba33, 0x94d0, 0xba09, 0x94ec, 0xb9df, 0x9508, 0xb9b5,
10769   0x9523, 0xb98b, 0x953f, 0xb961, 0x955b, 0xb937, 0x9577, 0xb90d,
10770   0x9592, 0xb8e3, 0x95ae, 0xb8b9, 0x95ca, 0xb890, 0x95e6, 0xb866,
10771   0x9603, 0xb83c, 0x961f, 0xb813, 0x963b, 0xb7e9, 0x9657, 0xb7c0,
10772   0x9674, 0xb796, 0x9690, 0xb76d, 0x96ad, 0xb743, 0x96c9, 0xb71a,
10773   0x96e6, 0xb6f1, 0x9703, 0xb6c7, 0x9720, 0xb69e, 0x973c, 0xb675,
10774   0x9759, 0xb64c, 0x9776, 0xb623, 0x9793, 0xb5fa, 0x97b0, 0xb5d1,
10775   0x97ce, 0xb5a8, 0x97eb, 0xb57f, 0x9808, 0xb556, 0x9826, 0xb52d,
10776   0x9843, 0xb505, 0x9860, 0xb4dc, 0x987e, 0xb4b3, 0x989c, 0xb48b,
10777   0x98b9, 0xb462, 0x98d7, 0xb439, 0x98f5, 0xb411, 0x9913, 0xb3e9,
10778   0x9930, 0xb3c0, 0x994e, 0xb398, 0x996d, 0xb36f, 0x998b, 0xb347,
10779   0x99a9, 0xb31f, 0x99c7, 0xb2f7, 0x99e5, 0xb2cf, 0x9a04, 0xb2a7,
10780   0x9a22, 0xb27f, 0x9a40, 0xb257, 0x9a5f, 0xb22f, 0x9a7e, 0xb207,
10781   0x9a9c, 0xb1df, 0x9abb, 0xb1b7, 0x9ada, 0xb18f, 0x9af9, 0xb168,
10782   0x9b17, 0xb140, 0x9b36, 0xb118, 0x9b55, 0xb0f1, 0x9b75, 0xb0c9,
10783   0x9b94, 0xb0a2, 0x9bb3, 0xb07b, 0x9bd2, 0xb053, 0x9bf1, 0xb02c,
10784   0x9c11, 0xb005, 0x9c30, 0xafdd, 0x9c50, 0xafb6, 0x9c6f, 0xaf8f,
10785   0x9c8f, 0xaf68, 0x9caf, 0xaf41, 0x9cce, 0xaf1a, 0x9cee, 0xaef3,
10786   0x9d0e, 0xaecc, 0x9d2e, 0xaea5, 0x9d4e, 0xae7f, 0x9d6e, 0xae58,
10787   0x9d8e, 0xae31, 0x9dae, 0xae0b, 0x9dce, 0xade4, 0x9def, 0xadbd,
10788   0x9e0f, 0xad97, 0x9e2f, 0xad70, 0x9e50, 0xad4a, 0x9e70, 0xad24,
10789   0x9e91, 0xacfd, 0x9eb2, 0xacd7, 0x9ed2, 0xacb1, 0x9ef3, 0xac8b,
10790   0x9f14, 0xac65, 0x9f35, 0xac3f, 0x9f56, 0xac19, 0x9f77, 0xabf3,
10791   0x9f98, 0xabcd, 0x9fb9, 0xaba7, 0x9fda, 0xab81, 0x9ffb, 0xab5c,
10792   0xa01c, 0xab36, 0xa03e, 0xab10, 0xa05f, 0xaaeb, 0xa080, 0xaac5,
10793   0xa0a2, 0xaaa0, 0xa0c4, 0xaa7a, 0xa0e5, 0xaa55, 0xa107, 0xaa30,
10794   0xa129, 0xaa0a, 0xa14a, 0xa9e5, 0xa16c, 0xa9c0, 0xa18e, 0xa99b,
10795   0xa1b0, 0xa976, 0xa1d2, 0xa951, 0xa1f4, 0xa92c, 0xa216, 0xa907,
10796   0xa238, 0xa8e2, 0xa25b, 0xa8bd, 0xa27d, 0xa899, 0xa29f, 0xa874,
10797   0xa2c2, 0xa84f, 0xa2e4, 0xa82b, 0xa307, 0xa806, 0xa329, 0xa7e2,
10798   0xa34c, 0xa7bd, 0xa36f, 0xa799, 0xa391, 0xa774, 0xa3b4, 0xa750,
10799   0xa3d7, 0xa72c, 0xa3fa, 0xa708, 0xa41d, 0xa6e4, 0xa440, 0xa6c0,
10800   0xa463, 0xa69c, 0xa486, 0xa678, 0xa4a9, 0xa654, 0xa4cc, 0xa630,
10801   0xa4f0, 0xa60c, 0xa513, 0xa5e8, 0xa537, 0xa5c5, 0xa55a, 0xa5a1,
10802   0xa57e, 0xa57e, 0xa5a1, 0xa55a, 0xa5c5, 0xa537, 0xa5e8, 0xa513,
10803   0xa60c, 0xa4f0, 0xa630, 0xa4cc, 0xa654, 0xa4a9, 0xa678, 0xa486,
10804   0xa69c, 0xa463, 0xa6c0, 0xa440, 0xa6e4, 0xa41d, 0xa708, 0xa3fa,
10805   0xa72c, 0xa3d7, 0xa750, 0xa3b4, 0xa774, 0xa391, 0xa799, 0xa36f,
10806   0xa7bd, 0xa34c, 0xa7e2, 0xa329, 0xa806, 0xa307, 0xa82b, 0xa2e4,
10807   0xa84f, 0xa2c2, 0xa874, 0xa29f, 0xa899, 0xa27d, 0xa8bd, 0xa25b,
10808   0xa8e2, 0xa238, 0xa907, 0xa216, 0xa92c, 0xa1f4, 0xa951, 0xa1d2,
10809   0xa976, 0xa1b0, 0xa99b, 0xa18e, 0xa9c0, 0xa16c, 0xa9e5, 0xa14a,
10810   0xaa0a, 0xa129, 0xaa30, 0xa107, 0xaa55, 0xa0e5, 0xaa7a, 0xa0c4,
10811   0xaaa0, 0xa0a2, 0xaac5, 0xa080, 0xaaeb, 0xa05f, 0xab10, 0xa03e,
10812   0xab36, 0xa01c, 0xab5c, 0x9ffb, 0xab81, 0x9fda, 0xaba7, 0x9fb9,
10813   0xabcd, 0x9f98, 0xabf3, 0x9f77, 0xac19, 0x9f56, 0xac3f, 0x9f35,
10814   0xac65, 0x9f14, 0xac8b, 0x9ef3, 0xacb1, 0x9ed2, 0xacd7, 0x9eb2,
10815   0xacfd, 0x9e91, 0xad24, 0x9e70, 0xad4a, 0x9e50, 0xad70, 0x9e2f,
10816   0xad97, 0x9e0f, 0xadbd, 0x9def, 0xade4, 0x9dce, 0xae0b, 0x9dae,
10817   0xae31, 0x9d8e, 0xae58, 0x9d6e, 0xae7f, 0x9d4e, 0xaea5, 0x9d2e,
10818   0xaecc, 0x9d0e, 0xaef3, 0x9cee, 0xaf1a, 0x9cce, 0xaf41, 0x9caf,
10819   0xaf68, 0x9c8f, 0xaf8f, 0x9c6f, 0xafb6, 0x9c50, 0xafdd, 0x9c30,
10820   0xb005, 0x9c11, 0xb02c, 0x9bf1, 0xb053, 0x9bd2, 0xb07b, 0x9bb3,
10821   0xb0a2, 0x9b94, 0xb0c9, 0x9b75, 0xb0f1, 0x9b55, 0xb118, 0x9b36,
10822   0xb140, 0x9b17, 0xb168, 0x9af9, 0xb18f, 0x9ada, 0xb1b7, 0x9abb,
10823   0xb1df, 0x9a9c, 0xb207, 0x9a7e, 0xb22f, 0x9a5f, 0xb257, 0x9a40,
10824   0xb27f, 0x9a22, 0xb2a7, 0x9a04, 0xb2cf, 0x99e5, 0xb2f7, 0x99c7,
10825   0xb31f, 0x99a9, 0xb347, 0x998b, 0xb36f, 0x996d, 0xb398, 0x994e,
10826   0xb3c0, 0x9930, 0xb3e9, 0x9913, 0xb411, 0x98f5, 0xb439, 0x98d7,
10827   0xb462, 0x98b9, 0xb48b, 0x989c, 0xb4b3, 0x987e, 0xb4dc, 0x9860,
10828   0xb505, 0x9843, 0xb52d, 0x9826, 0xb556, 0x9808, 0xb57f, 0x97eb,
10829   0xb5a8, 0x97ce, 0xb5d1, 0x97b0, 0xb5fa, 0x9793, 0xb623, 0x9776,
10830   0xb64c, 0x9759, 0xb675, 0x973c, 0xb69e, 0x9720, 0xb6c7, 0x9703,
10831   0xb6f1, 0x96e6, 0xb71a, 0x96c9, 0xb743, 0x96ad, 0xb76d, 0x9690,
10832   0xb796, 0x9674, 0xb7c0, 0x9657, 0xb7e9, 0x963b, 0xb813, 0x961f,
10833   0xb83c, 0x9603, 0xb866, 0x95e6, 0xb890, 0x95ca, 0xb8b9, 0x95ae,
10834   0xb8e3, 0x9592, 0xb90d, 0x9577, 0xb937, 0x955b, 0xb961, 0x953f,
10835   0xb98b, 0x9523, 0xb9b5, 0x9508, 0xb9df, 0x94ec, 0xba09, 0x94d0,
10836   0xba33, 0x94b5, 0xba5d, 0x949a, 0xba87, 0x947e, 0xbab1, 0x9463,
10837   0xbadc, 0x9448, 0xbb06, 0x942d, 0xbb30, 0x9412, 0xbb5b, 0x93f7,
10838   0xbb85, 0x93dc, 0xbbb0, 0x93c1, 0xbbda, 0x93a6, 0xbc05, 0x938b,
10839   0xbc2f, 0x9371, 0xbc5a, 0x9356, 0xbc85, 0x933c, 0xbcaf, 0x9321,
10840   0xbcda, 0x9307, 0xbd05, 0x92ec, 0xbd30, 0x92d2, 0xbd5b, 0x92b8,
10841   0xbd86, 0x929e, 0xbdb1, 0x9284, 0xbddc, 0x926a, 0xbe07, 0x9250,
10842   0xbe32, 0x9236, 0xbe5d, 0x921c, 0xbe88, 0x9202, 0xbeb3, 0x91e9,
10843   0xbedf, 0x91cf, 0xbf0a, 0x91b6, 0xbf35, 0x919c, 0xbf61, 0x9183,
10844   0xbf8c, 0x9169, 0xbfb8, 0x9150, 0xbfe3, 0x9137, 0xc00f, 0x911e,
10845   0xc03a, 0x9105, 0xc066, 0x90ec, 0xc091, 0x90d3, 0xc0bd, 0x90ba,
10846   0xc0e9, 0x90a1, 0xc114, 0x9088, 0xc140, 0x9070, 0xc16c, 0x9057,
10847   0xc198, 0x903e, 0xc1c4, 0x9026, 0xc1f0, 0x900e, 0xc21c, 0x8ff5,
10848   0xc248, 0x8fdd, 0xc274, 0x8fc5, 0xc2a0, 0x8fad, 0xc2cc, 0x8f95,
10849   0xc2f8, 0x8f7d, 0xc324, 0x8f65, 0xc351, 0x8f4d, 0xc37d, 0x8f35,
10850   0xc3a9, 0x8f1d, 0xc3d6, 0x8f06, 0xc402, 0x8eee, 0xc42e, 0x8ed6,
10851   0xc45b, 0x8ebf, 0xc487, 0x8ea8, 0xc4b4, 0x8e90, 0xc4e0, 0x8e79,
10852   0xc50d, 0x8e62, 0xc53a, 0x8e4b, 0xc566, 0x8e34, 0xc593, 0x8e1d,
10853   0xc5c0, 0x8e06, 0xc5ed, 0x8def, 0xc619, 0x8dd8, 0xc646, 0x8dc1,
10854   0xc673, 0x8dab, 0xc6a0, 0x8d94, 0xc6cd, 0x8d7e, 0xc6fa, 0x8d67,
10855   0xc727, 0x8d51, 0xc754, 0x8d3b, 0xc781, 0x8d24, 0xc7ae, 0x8d0e,
10856   0xc7db, 0x8cf8, 0xc809, 0x8ce2, 0xc836, 0x8ccc, 0xc863, 0x8cb6,
10857   0xc890, 0x8ca1, 0xc8be, 0x8c8b, 0xc8eb, 0x8c75, 0xc918, 0x8c60,
10858   0xc946, 0x8c4a, 0xc973, 0x8c35, 0xc9a1, 0x8c1f, 0xc9ce, 0x8c0a,
10859   0xc9fc, 0x8bf5, 0xca29, 0x8bdf, 0xca57, 0x8bca, 0xca85, 0x8bb5,
10860   0xcab2, 0x8ba0, 0xcae0, 0x8b8b, 0xcb0e, 0x8b77, 0xcb3c, 0x8b62,
10861   0xcb69, 0x8b4d, 0xcb97, 0x8b39, 0xcbc5, 0x8b24, 0xcbf3, 0x8b10,
10862   0xcc21, 0x8afb, 0xcc4f, 0x8ae7, 0xcc7d, 0x8ad3, 0xccab, 0x8abe,
10863   0xccd9, 0x8aaa, 0xcd07, 0x8a96, 0xcd35, 0x8a82, 0xcd63, 0x8a6e,
10864   0xcd92, 0x8a5a, 0xcdc0, 0x8a47, 0xcdee, 0x8a33, 0xce1c, 0x8a1f,
10865   0xce4b, 0x8a0c, 0xce79, 0x89f8, 0xcea7, 0x89e5, 0xced6, 0x89d2,
10866   0xcf04, 0x89be, 0xcf33, 0x89ab, 0xcf61, 0x8998, 0xcf90, 0x8985,
10867   0xcfbe, 0x8972, 0xcfed, 0x895f, 0xd01b, 0x894c, 0xd04a, 0x8939,
10868   0xd079, 0x8927, 0xd0a7, 0x8914, 0xd0d6, 0x8902, 0xd105, 0x88ef,
10869   0xd134, 0x88dd, 0xd162, 0x88ca, 0xd191, 0x88b8, 0xd1c0, 0x88a6,
10870   0xd1ef, 0x8894, 0xd21e, 0x8882, 0xd24d, 0x8870, 0xd27c, 0x885e,
10871   0xd2ab, 0x884c, 0xd2da, 0x883a, 0xd309, 0x8828, 0xd338, 0x8817,
10872   0xd367, 0x8805, 0xd396, 0x87f4, 0xd3c5, 0x87e2, 0xd3f4, 0x87d1,
10873   0xd424, 0x87c0, 0xd453, 0x87af, 0xd482, 0x879d, 0xd4b1, 0x878c,
10874   0xd4e1, 0x877b, 0xd510, 0x876b, 0xd53f, 0x875a, 0xd56f, 0x8749,
10875   0xd59e, 0x8738, 0xd5ce, 0x8728, 0xd5fd, 0x8717, 0xd62d, 0x8707,
10876   0xd65c, 0x86f6, 0xd68c, 0x86e6, 0xd6bb, 0x86d6, 0xd6eb, 0x86c6,
10877   0xd71b, 0x86b6, 0xd74a, 0x86a5, 0xd77a, 0x8696, 0xd7aa, 0x8686,
10878   0xd7d9, 0x8676, 0xd809, 0x8666, 0xd839, 0x8656, 0xd869, 0x8647,
10879   0xd898, 0x8637, 0xd8c8, 0x8628, 0xd8f8, 0x8619, 0xd928, 0x8609,
10880   0xd958, 0x85fa, 0xd988, 0x85eb, 0xd9b8, 0x85dc, 0xd9e8, 0x85cd,
10881   0xda18, 0x85be, 0xda48, 0x85af, 0xda78, 0x85a0, 0xdaa8, 0x8592,
10882   0xdad8, 0x8583, 0xdb08, 0x8574, 0xdb38, 0x8566, 0xdb68, 0x8558,
10883   0xdb99, 0x8549, 0xdbc9, 0x853b, 0xdbf9, 0x852d, 0xdc29, 0x851f,
10884   0xdc59, 0x8511, 0xdc8a, 0x8503, 0xdcba, 0x84f5, 0xdcea, 0x84e7,
10885   0xdd1b, 0x84d9, 0xdd4b, 0x84cc, 0xdd7c, 0x84be, 0xddac, 0x84b0,
10886   0xdddc, 0x84a3, 0xde0d, 0x8496, 0xde3d, 0x8488, 0xde6e, 0x847b,
10887   0xde9e, 0x846e, 0xdecf, 0x8461, 0xdeff, 0x8454, 0xdf30, 0x8447,
10888   0xdf61, 0x843a, 0xdf91, 0x842d, 0xdfc2, 0x8421, 0xdff2, 0x8414,
10889   0xe023, 0x8407, 0xe054, 0x83fb, 0xe085, 0x83ef, 0xe0b5, 0x83e2,
10890   0xe0e6, 0x83d6, 0xe117, 0x83ca, 0xe148, 0x83be, 0xe178, 0x83b2,
10891   0xe1a9, 0x83a6, 0xe1da, 0x839a, 0xe20b, 0x838e, 0xe23c, 0x8382,
10892   0xe26d, 0x8377, 0xe29e, 0x836b, 0xe2cf, 0x8360, 0xe2ff, 0x8354,
10893   0xe330, 0x8349, 0xe361, 0x833e, 0xe392, 0x8332, 0xe3c3, 0x8327,
10894   0xe3f4, 0x831c, 0xe426, 0x8311, 0xe457, 0x8306, 0xe488, 0x82fb,
10895   0xe4b9, 0x82f1, 0xe4ea, 0x82e6, 0xe51b, 0x82db, 0xe54c, 0x82d1,
10896   0xe57d, 0x82c6, 0xe5af, 0x82bc, 0xe5e0, 0x82b2, 0xe611, 0x82a8,
10897   0xe642, 0x829d, 0xe673, 0x8293, 0xe6a5, 0x8289, 0xe6d6, 0x827f,
10898   0xe707, 0x8276, 0xe739, 0x826c, 0xe76a, 0x8262, 0xe79b, 0x8259,
10899   0xe7cd, 0x824f, 0xe7fe, 0x8246, 0xe82f, 0x823c, 0xe861, 0x8233,
10900   0xe892, 0x822a, 0xe8c4, 0x8220, 0xe8f5, 0x8217, 0xe926, 0x820e,
10901   0xe958, 0x8205, 0xe989, 0x81fd, 0xe9bb, 0x81f4, 0xe9ec, 0x81eb,
10902   0xea1e, 0x81e2, 0xea4f, 0x81da, 0xea81, 0x81d1, 0xeab3, 0x81c9,
10903   0xeae4, 0x81c1, 0xeb16, 0x81b8, 0xeb47, 0x81b0, 0xeb79, 0x81a8,
10904   0xebab, 0x81a0, 0xebdc, 0x8198, 0xec0e, 0x8190, 0xec3f, 0x8188,
10905   0xec71, 0x8181, 0xeca3, 0x8179, 0xecd5, 0x8172, 0xed06, 0x816a,
10906   0xed38, 0x8163, 0xed6a, 0x815b, 0xed9b, 0x8154, 0xedcd, 0x814d,
10907   0xedff, 0x8146, 0xee31, 0x813f, 0xee62, 0x8138, 0xee94, 0x8131,
10908   0xeec6, 0x812a, 0xeef8, 0x8123, 0xef2a, 0x811d, 0xef5c, 0x8116,
10909   0xef8d, 0x8110, 0xefbf, 0x8109, 0xeff1, 0x8103, 0xf023, 0x80fd,
10910   0xf055, 0x80f6, 0xf087, 0x80f0, 0xf0b9, 0x80ea, 0xf0eb, 0x80e4,
10911   0xf11c, 0x80de, 0xf14e, 0x80d9, 0xf180, 0x80d3, 0xf1b2, 0x80cd,
10912  0xf1e4, 0x80c8, 0xf216, 0x80c2, 0xf248, 0x80bd, 0xf27a, 0x80b7,
10913  0xf2ac, 0x80b2, 0xf2de, 0x80ad, 0xf310, 0x80a8, 0xf342, 0x80a3,
10914  0xf374, 0x809e, 0xf3a6, 0x8099, 0xf3d8, 0x8094, 0xf40a, 0x808f,
10915  0xf43c, 0x808b, 0xf46e, 0x8086, 0xf4a0, 0x8082, 0xf4d3, 0x807d,
10916  0xf505, 0x8079, 0xf537, 0x8075, 0xf569, 0x8070, 0xf59b, 0x806c,
10917  0xf5cd, 0x8068, 0xf5ff, 0x8064, 0xf631, 0x8060, 0xf663, 0x805d,
10918  0xf695, 0x8059, 0xf6c8, 0x8055, 0xf6fa, 0x8052, 0xf72c, 0x804e,
10919  0xf75e, 0x804b, 0xf790, 0x8047, 0xf7c2, 0x8044, 0xf7f4, 0x8041,
10920  0xf827, 0x803e, 0xf859, 0x803b, 0xf88b, 0x8038, 0xf8bd, 0x8035,
10921  0xf8ef, 0x8032, 0xf922, 0x802f, 0xf954, 0x802d, 0xf986, 0x802a,
10922  0xf9b8, 0x8027, 0xf9ea, 0x8025, 0xfa1d, 0x8023, 0xfa4f, 0x8020,
10923  0xfa81, 0x801e, 0xfab3, 0x801c, 0xfae5, 0x801a, 0xfb18, 0x8018,
10924  0xfb4a, 0x8016, 0xfb7c, 0x8014, 0xfbae, 0x8013, 0xfbe1, 0x8011,
10925  0xfc13, 0x800f, 0xfc45, 0x800e, 0xfc77, 0x800c, 0xfcaa, 0x800b,
10926  0xfcdc, 0x800a, 0xfd0e, 0x8009, 0xfd40, 0x8008, 0xfd73, 0x8007,
10927  0xfda5, 0x8006, 0xfdd7, 0x8005, 0xfe09, 0x8004, 0xfe3c, 0x8003,
10928  0xfe6e, 0x8002, 0xfea0, 0x8002, 0xfed2, 0x8001, 0xff05, 0x8001,
10929  0xff37, 0x8001, 0xff69, 0x8000, 0xff9b, 0x8000, 0xffce, 0x8000,
10930 };
10931
10932 /**
10933 * @} end of CFFT_CIFFT group
10934 */
10935
10936 /*
10937 * @brief  Q15 table for reciprocal
10938 */
10939 const q15_t ALIGN4 armRecipTableQ15[64] = {
10940  0x7F03, 0x7D13, 0x7B31, 0x795E, 0x7798, 0x75E0,
10941  0x7434, 0x7294, 0x70FF, 0x6F76, 0x6DF6, 0x6C82,
10942  0x6B16, 0x69B5, 0x685C, 0x670C, 0x65C4, 0x6484,
10943  0x634C, 0x621C, 0x60F3, 0x5FD0, 0x5EB5, 0x5DA0,
10944  0x5C91, 0x5B88, 0x5A85, 0x5988, 0x5890, 0x579E,
10945  0x56B0, 0x55C8, 0x54E4, 0x5405, 0x532B, 0x5255,
10946  0x5183, 0x50B6, 0x4FEC, 0x4F26, 0x4E64, 0x4DA6,
10947  0x4CEC, 0x4C34, 0x4B81, 0x4AD0, 0x4A23, 0x4978,
10948  0x48D1, 0x482D, 0x478C, 0x46ED, 0x4651, 0x45B8,
10949  0x4521, 0x448D, 0x43FC, 0x436C, 0x42DF, 0x4255,
10950  0x41CC, 0x4146, 0x40C2, 0x4040
10951 };
10952
10953 /*
10954 * @brief  Q31 table for reciprocal
10955 */
10956 const q31_t armRecipTableQ31[64] = {
10957   0x7F03F03F, 0x7D137420, 0x7B31E739, 0x795E9F94, 0x7798FD29, 0x75E06928,
10958   0x7434554D, 0x72943B4B, 0x70FF9C40, 0x6F760031, 0x6DF6F593, 0x6C8210E3,
10959   0x6B16EC3A, 0x69B526F6, 0x685C655F, 0x670C505D, 0x65C4952D, 0x6484E519,
10960   0x634CF53E, 0x621C7E4F, 0x60F33C61, 0x5FD0EEB3, 0x5EB55785, 0x5DA03BEB,
10961   0x5C9163A1, 0x5B8898E6, 0x5A85A85A, 0x598860DF, 0x58909373, 0x579E1318,
10962   0x56B0B4B8, 0x55C84F0B, 0x54E4BA80, 0x5405D124, 0x532B6E8F, 0x52556FD0,
10963   0x5183B35A, 0x50B618F3, 0x4FEC81A2, 0x4F26CFA2, 0x4E64E64E, 0x4DA6AA1D,
10964   0x4CEC008B, 0x4C34D010, 0x4B810016, 0x4AD078EF, 0x4A2323C4, 0x4978EA96,
10965   0x48D1B827, 0x482D77FE, 0x478C1657, 0x46ED801D, 0x4651A2E5, 0x45B86CE2,
10966   0x4521CCE1, 0x448DB244, 0x43FC0CFA, 0x436CCD78, 0x42DFE4B4, 0x42554426,
10967   0x41CCDDB6, 0x4146A3C6, 0x40C28923, 0x40408102
10968 };
10969
10970 const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE__16_TABLE_LENGTH] =
10971 {
10972    //8x2, size 20
10973    8,64, 24,72, 16,64, 40,80, 32,64, 56,88, 48,72, 88,104, 72,96, 104,112
10974 };
10975
10976 const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE__32_TABLE_LENGTH] =
10977 {
10978    //8x4, size 48
10979    8,64, 16,128, 24,192, 32,64, 40,72, 48,136, 56,200, 64,128, 72,80, 88,208,
10980    80,144, 96,192, 104,208, 112,152, 120,216, 136,192, 144,160, 168,208,
10981    152,224, 176,208, 184,232, 216,240, 200,224, 232,240
10982 };
10983
10984 const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE__64_TABLE_LENGTH] =
10985 {
10986    //radix 8, size 56
10987    8,64, 16,128, 24,192, 32,256, 40,320, 48,384, 56,448, 80,136, 88,200,
10988    96,264, 104,328, 112,392, 120,456, 152,208, 160,272, 168,336, 176,400,
10989    184,464, 224,280, 232,344, 240,408, 248,472, 296,352, 304,416, 312,480,
10990    368,424, 376,488, 440,496
10991 };
10992
10993 const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH] =
10994 {
10995    //8x2, size 208
10996    8,512, 16,64, 24,576, 32,128, 40,640, 48,192, 56,704, 64,256, 72,768,
10997    80,320, 88,832, 96,384, 104,896, 112,448, 120,960, 128,512, 136,520,
10998    144,768, 152,584, 160,520, 168,648, 176,200, 184,712, 192,264, 200,776,
10999    208,328, 216,840, 224,392, 232,904, 240,456, 248,968, 264,528, 272,320,
11000    280,592, 288,768, 296,656, 304,328, 312,720, 328,784, 344,848, 352,400,
11001    360,912, 368,464, 376,976, 384,576, 392,536, 400,832, 408,600, 416,584,
11002    424,664, 432,840, 440,728, 448,592, 456,792, 464,848, 472,856, 480,600,
11003    488,920, 496,856, 504,984, 520,544, 528,576, 536,608, 552,672, 560,608,
11004    568,736, 576,768, 584,800, 592,832, 600,864, 608,800, 616,928, 624,864,
11005    632,992, 648,672, 656,896, 664,928, 688,904, 696,744, 704,896, 712,808,
11006    720,912, 728,872, 736,928, 744,936, 752,920, 760,1000, 776,800, 784,832,
11007    792,864, 808,904, 816,864, 824,920, 840,864, 856,880, 872,944, 888,1008,
11008    904,928, 912,960, 920,992, 944,968, 952,1000, 968,992, 984,1008
11009 };
11010
11011 const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH] =
11012 {
11013    //8x4, size 440
11014    8,512, 16,1024, 24,1536, 32,64, 40,576, 48,1088, 56,1600, 64,128, 72,640,
11015    80,1152, 88,1664, 96,192, 104,704, 112,1216, 120,1728, 128,256, 136,768,
11016    144,1280, 152,1792, 160,320, 168,832, 176,1344, 184,1856, 192,384,
11017    200,896, 208,1408, 216,1920, 224,448, 232,960, 240,1472, 248,1984,
11018    256,512, 264,520, 272,1032, 280,1544, 288,640, 296,584, 304,1096, 312,1608,
11019    320,768, 328,648, 336,1160, 344,1672, 352,896, 360,712, 368,1224, 376,1736,
11020    384,520, 392,776, 400,1288, 408,1800, 416,648, 424,840, 432,1352, 440,1864,
11021    448,776, 456,904, 464,1416, 472,1928, 480,904, 488,968, 496,1480, 504,1992,
11022    520,528, 512,1024, 528,1040, 536,1552, 544,1152, 552,592, 560,1104,
11023    568,1616, 576,1280, 584,656, 592,1168, 600,1680, 608,1408, 616,720,
11024    624,1232, 632,1744, 640,1032, 648,784, 656,1296, 664,1808, 672,1160,
11025    680,848, 688,1360, 696,1872, 704,1288, 712,912, 720,1424, 728,1936,
11026    736,1416, 744,976, 752,1488, 760,2000, 768,1536, 776,1552, 784,1048,
11027    792,1560, 800,1664, 808,1680, 816,1112, 824,1624, 832,1792, 840,1808,
11028    848,1176, 856,1688, 864,1920, 872,1936, 880,1240, 888,1752, 896,1544,
11029    904,1560, 912,1304, 920,1816, 928,1672, 936,1688, 944,1368, 952,1880,
11030    960,1800, 968,1816, 976,1432, 984,1944, 992,1928, 1000,1944, 1008,1496,
11031    1016,2008, 1032,1152, 1040,1056, 1048,1568, 1064,1408, 1072,1120,
11032    1080,1632, 1088,1536, 1096,1160, 1104,1184, 1112,1696, 1120,1552,
11033    1128,1416, 1136,1248, 1144,1760, 1160,1664, 1168,1312, 1176,1824,
11034    1184,1544, 1192,1920, 1200,1376, 1208,1888, 1216,1568, 1224,1672,
11035    1232,1440, 1240,1952, 1248,1560, 1256,1928, 1264,1504, 1272,2016,
11036    1288,1312, 1296,1408, 1304,1576, 1320,1424, 1328,1416, 1336,1640,
11037    1344,1792, 1352,1824, 1360,1920, 1368,1704, 1376,1800, 1384,1432,
11038    1392,1928, 1400,1768, 1416,1680, 1432,1832, 1440,1576, 1448,1936,
11039    1456,1832, 1464,1896, 1472,1808, 1480,1688, 1488,1936, 1496,1960,
11040    1504,1816, 1512,1944, 1520,1944, 1528,2024, 1560,1584, 1592,1648,
11041    1600,1792, 1608,1920, 1616,1800, 1624,1712, 1632,1808, 1640,1936,
11042    1648,1816, 1656,1776, 1672,1696, 1688,1840, 1704,1952, 1712,1928,
11043    1720,1904, 1728,1824, 1736,1952, 1744,1832, 1752,1968, 1760,1840,
11044    1768,1960, 1776,1944, 1784,2032, 1864,1872, 1848,1944, 1872,1888,
11045    1880,1904, 1888,1984, 1896,2000, 1912,2032, 1904,2016, 1976,2032,
11046    1960,1968, 2008,2032, 1992,2016, 2024,2032
11047 };
11048
11049 const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH] =
11050 {
11051    //radix 8, size 448
11052    8,512, 16,1024, 24,1536, 32,2048, 40,2560, 48,3072, 56,3584, 72,576,
11053    80,1088, 88,1600, 96,2112, 104,2624, 112,3136, 120,3648, 136,640, 144,1152,
11054    152,1664, 160,2176, 168,2688, 176,3200, 184,3712, 200,704, 208,1216,
11055    216,1728, 224,2240, 232,2752, 240,3264, 248,3776, 264,768, 272,1280,
11056    280,1792, 288,2304, 296,2816, 304,3328, 312,3840, 328,832, 336,1344,
11057    344,1856, 352,2368, 360,2880, 368,3392, 376,3904, 392,896, 400,1408,
11058    408,1920, 416,2432, 424,2944, 432,3456, 440,3968, 456,960, 464,1472,
11059    472,1984, 480,2496, 488,3008, 496,3520, 504,4032, 528,1032, 536,1544,
11060    544,2056, 552,2568, 560,3080, 568,3592, 592,1096, 600,1608, 608,2120,
11061    616,2632, 624,3144, 632,3656, 656,1160, 664,1672, 672,2184, 680,2696,
11062    688,3208, 696,3720, 720,1224, 728,1736, 736,2248, 744,2760, 752,3272,
11063    760,3784, 784,1288, 792,1800, 800,2312, 808,2824, 816,3336, 824,3848,
11064    848,1352, 856,1864, 864,2376, 872,2888, 880,3400, 888,3912, 912,1416,
11065    920,1928, 928,2440, 936,2952, 944,3464, 952,3976, 976,1480, 984,1992,
11066    992,2504, 1000,3016, 1008,3528, 1016,4040, 1048,1552, 1056,2064, 1064,2576,
11067    1072,3088, 1080,3600, 1112,1616, 1120,2128, 1128,2640, 1136,3152,
11068    1144,3664, 1176,1680, 1184,2192, 1192,2704, 1200,3216, 1208,3728,
11069    1240,1744, 1248,2256, 1256,2768, 1264,3280, 1272,3792, 1304,1808,
11070    1312,2320, 1320,2832, 1328,3344, 1336,3856, 1368,1872, 1376,2384,
11071    1384,2896, 1392,3408, 1400,3920, 1432,1936, 1440,2448, 1448,2960,
11072    1456,3472, 1464,3984, 1496,2000, 1504,2512, 1512,3024, 1520,3536,
11073    1528,4048, 1568,2072, 1576,2584, 1584,3096, 1592,3608, 1632,2136,
11074    1640,2648, 1648,3160, 1656,3672, 1696,2200, 1704,2712, 1712,3224,
11075    1720,3736, 1760,2264, 1768,2776, 1776,3288, 1784,3800, 1824,2328,
11076    1832,2840, 1840,3352, 1848,3864, 1888,2392, 1896,2904, 1904,3416,
11077    1912,3928, 1952,2456, 1960,2968, 1968,3480, 1976,3992, 2016,2520,
11078    2024,3032, 2032,3544, 2040,4056, 2088,2592, 2096,3104, 2104,3616,
11079    2152,2656, 2160,3168, 2168,3680, 2216,2720, 2224,3232, 2232,3744,
11080    2280,2784, 2288,3296, 2296,3808, 2344,2848, 2352,3360, 2360,3872,
11081    2408,2912, 2416,3424, 2424,3936, 2472,2976, 2480,3488, 2488,4000,
11082    2536,3040, 2544,3552, 2552,4064, 2608,3112, 2616,3624, 2672,3176,
11083    2680,3688, 2736,3240, 2744,3752, 2800,3304, 2808,3816, 2864,3368,
11084    2872,3880, 2928,3432, 2936,3944, 2992,3496, 3000,4008, 3056,3560,
11085    3064,4072, 3128,3632, 3192,3696, 3256,3760, 3320,3824, 3384,3888,
11086    3448,3952, 3512,4016, 3576,4080
11087 };
11088
11089 const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE1024_TABLE_LENGTH] =
11090 {
11091    //8x2, size 1800
11092    8,4096, 16,512, 24,4608, 32,1024, 40,5120, 48,1536, 56,5632, 64,2048,
11093    72,6144, 80,2560, 88,6656, 96,3072, 104,7168, 112,3584, 120,7680, 128,2048,
11094    136,4160, 144,576, 152,4672, 160,1088, 168,5184, 176,1600, 184,5696,
11095    192,2112, 200,6208, 208,2624, 216,6720, 224,3136, 232,7232, 240,3648,
11096    248,7744, 256,2048, 264,4224, 272,640, 280,4736, 288,1152, 296,5248,
11097    304,1664, 312,5760, 320,2176, 328,6272, 336,2688, 344,6784, 352,3200,
11098    360,7296, 368,3712, 376,7808, 384,2112, 392,4288, 400,704, 408,4800,
11099    416,1216, 424,5312, 432,1728, 440,5824, 448,2240, 456,6336, 464,2752,
11100    472,6848, 480,3264, 488,7360, 496,3776, 504,7872, 512,2048, 520,4352,
11101    528,768, 536,4864, 544,1280, 552,5376, 560,1792, 568,5888, 576,2304,
11102    584,6400, 592,2816, 600,6912, 608,3328, 616,7424, 624,3840, 632,7936,
11103    640,2176, 648,4416, 656,832, 664,4928, 672,1344, 680,5440, 688,1856,
11104    696,5952, 704,2368, 712,6464, 720,2880, 728,6976, 736,3392, 744,7488,
11105    752,3904, 760,8000, 768,2112, 776,4480, 784,896, 792,4992, 800,1408,
11106    808,5504, 816,1920, 824,6016, 832,2432, 840,6528, 848,2944, 856,7040,
11107    864,3456, 872,7552, 880,3968, 888,8064, 896,2240, 904,4544, 912,960,
11108    920,5056, 928,1472, 936,5568, 944,1984, 952,6080, 960,2496, 968,6592,
11109    976,3008, 984,7104, 992,3520, 1000,7616, 1008,4032, 1016,8128, 1024,4096,
11110    1032,4104, 1040,4352, 1048,4616, 1056,4104, 1064,5128, 1072,1544,
11111    1080,5640, 1088,2056, 1096,6152, 1104,2568, 1112,6664, 1120,3080,
11112    1128,7176, 1136,3592, 1144,7688, 1152,6144, 1160,4168, 1168,6400,
11113    1176,4680, 1184,6152, 1192,5192, 1200,1608, 1208,5704, 1216,2120,
11114    1224,6216, 1232,2632, 1240,6728, 1248,3144, 1256,7240, 1264,3656,
11115    1272,7752, 1280,4160, 1288,4232, 1296,4416, 1304,4744, 1312,4168,
11116    1320,5256, 1328,1672, 1336,5768, 1344,2184, 1352,6280, 1360,2696,
11117    1368,6792, 1376,3208, 1384,7304, 1392,3720, 1400,7816, 1408,6208,
11118    1416,4296, 1424,6464, 1432,4808, 1440,6216, 1448,5320, 1456,1736,
11119    1464,5832, 1472,2248, 1480,6344, 1488,2760, 1496,6856, 1504,3272,
11120    1512,7368, 1520,3784, 1528,7880, 1536,4224, 1544,4360, 1552,4480,
11121    1560,4872, 1568,4232, 1576,5384, 1584,1800, 1592,5896, 1600,2312,
11122    1608,6408, 1616,2824, 1624,6920, 1632,3336, 1640,7432, 1648,3848,
11123    1656,7944, 1664,6272, 1672,4424, 1680,6528, 1688,4936, 1696,6280,
11124    1704,5448, 1712,1864, 1720,5960, 1728,2376, 1736,6472, 1744,2888,
11125    1752,6984, 1760,3400, 1768,7496, 1776,3912, 1784,8008, 1792,4288,
11126    1800,4488, 1808,4544, 1816,5000, 1824,4296, 1832,5512, 1840,1928,
11127    1848,6024, 1856,2440, 1864,6536, 1872,2952, 1880,7048, 1888,3464,
11128    1896,7560, 1904,3976, 1912,8072, 1920,6336, 1928,4552, 1936,6592,
11129    1944,5064, 1952,6344, 1960,5576, 1968,1992, 1976,6088, 1984,2504,
11130    1992,6600, 2000,3016, 2008,7112, 2016,3528, 2024,7624, 2032,4040,
11131    2040,8136, 2056,4112, 2064,2112, 2072,4624, 2080,4352, 2088,5136,
11132    2096,4480, 2104,5648, 2120,6160, 2128,2576, 2136,6672, 2144,3088,
11133    2152,7184, 2160,3600, 2168,7696, 2176,2560, 2184,4176, 2192,2816,
11134    2200,4688, 2208,2568, 2216,5200, 2224,2824, 2232,5712, 2240,2576,
11135    2248,6224, 2256,2640, 2264,6736, 2272,3152, 2280,7248, 2288,3664,
11136    2296,7760, 2312,4240, 2320,2432, 2328,4752, 2336,6400, 2344,5264,
11137    2352,6528, 2360,5776, 2368,2816, 2376,6288, 2384,2704, 2392,6800,
11138    2400,3216, 2408,7312, 2416,3728, 2424,7824, 2432,2624, 2440,4304,
11139    2448,2880, 2456,4816, 2464,2632, 2472,5328, 2480,2888, 2488,5840,
11140    2496,2640, 2504,6352, 2512,2768, 2520,6864, 2528,3280, 2536,7376,
11141    2544,3792, 2552,7888, 2568,4368, 2584,4880, 2592,4416, 2600,5392,
11142    2608,4544, 2616,5904, 2632,6416, 2640,2832, 2648,6928, 2656,3344,
11143    2664,7440, 2672,3856, 2680,7952, 2696,4432, 2704,2944, 2712,4944,
11144    2720,4432, 2728,5456, 2736,2952, 2744,5968, 2752,2944, 2760,6480,
11145    2768,2896, 2776,6992, 2784,3408, 2792,7504, 2800,3920, 2808,8016,
11146    2824,4496, 2840,5008, 2848,6464, 2856,5520, 2864,6592, 2872,6032,
11147    2888,6544, 2896,2960, 2904,7056, 2912,3472, 2920,7568, 2928,3984,
11148    2936,8080, 2952,4560, 2960,3008, 2968,5072, 2976,6480, 2984,5584,
11149    2992,3016, 3000,6096, 3016,6608, 3032,7120, 3040,3536, 3048,7632,
11150    3056,4048, 3064,8144, 3072,4608, 3080,4120, 3088,4864, 3096,4632,
11151    3104,4616, 3112,5144, 3120,4872, 3128,5656, 3136,4624, 3144,6168,
11152    3152,4880, 3160,6680, 3168,4632, 3176,7192, 3184,3608, 3192,7704,
11153    3200,6656, 3208,4184, 3216,6912, 3224,4696, 3232,6664, 3240,5208,
11154    3248,6920, 3256,5720, 3264,6672, 3272,6232, 3280,6928, 3288,6744,
11155    3296,6680, 3304,7256, 3312,3672, 3320,7768, 3328,4672, 3336,4248,
11156    3344,4928, 3352,4760, 3360,4680, 3368,5272, 3376,4936, 3384,5784,
11157    3392,4688, 3400,6296, 3408,4944, 3416,6808, 3424,4696, 3432,7320,
11158    3440,3736, 3448,7832, 3456,6720, 3464,4312, 3472,6976, 3480,4824,
11159    3488,6728, 3496,5336, 3504,6984, 3512,5848, 3520,6736, 3528,6360,
11160    3536,6992, 3544,6872, 3552,6744, 3560,7384, 3568,3800, 3576,7896,
11161    3584,4736, 3592,4376, 3600,4992, 3608,4888, 3616,4744, 3624,5400,
11162    3632,5000, 3640,5912, 3648,4752, 3656,6424, 3664,5008, 3672,6936,
11163    3680,4760, 3688,7448, 3696,3864, 3704,7960, 3712,6784, 3720,4440,
11164    3728,7040, 3736,4952, 3744,6792, 3752,5464, 3760,7048, 3768,5976,
11165    3776,6800, 3784,6488, 3792,7056, 3800,7000, 3808,6808, 3816,7512,
11166    3824,3928, 3832,8024, 3840,4800, 3848,4504, 3856,5056, 3864,5016,
11167    3872,4808, 3880,5528, 3888,5064, 3896,6040, 3904,4816, 3912,6552,
11168    3920,5072, 3928,7064, 3936,4824, 3944,7576, 3952,3992, 3960,8088,
11169    3968,6848, 3976,4568, 3984,7104, 3992,5080, 4000,6856, 4008,5592,
11170    4016,7112, 4024,6104, 4032,6864, 4040,6616, 4048,7120, 4056,7128,
11171    4064,6872, 4072,7640, 4080,7128, 4088,8152, 4104,4128, 4112,4160,
11172    4120,4640, 4136,5152, 4144,4232, 4152,5664, 4160,4352, 4168,6176,
11173    4176,4416, 4184,6688, 4192,4616, 4200,7200, 4208,4744, 4216,7712,
11174    4224,4608, 4232,4616, 4240,4672, 4248,4704, 4256,4640, 4264,5216,
11175    4272,4704, 4280,5728, 4288,4864, 4296,6240, 4304,4928, 4312,6752,
11176    4320,4632, 4328,7264, 4336,4760, 4344,7776, 4360,4640, 4368,4416,
11177    4376,4768, 4384,6152, 4392,5280, 4400,6280, 4408,5792, 4424,6304,
11178    4440,6816, 4448,6664, 4456,7328, 4464,6792, 4472,7840, 4480,4624,
11179    4488,4632, 4496,4688, 4504,4832, 4512,6168, 4520,5344, 4528,6296,
11180    4536,5856, 4544,4880, 4552,6368, 4560,4944, 4568,6880, 4576,6680,
11181    4584,7392, 4592,6808, 4600,7904, 4608,6144, 4616,6152, 4624,6208,
11182    4632,4896, 4640,6176, 4648,5408, 4656,6240, 4664,5920, 4672,6400,
11183    4680,6432, 4688,6464, 4696,6944, 4704,6432, 4712,7456, 4720,4808,
11184    4728,7968, 4736,6656, 4744,6664, 4752,6720, 4760,4960, 4768,6688,
11185    4776,5472, 4784,6752, 4792,5984, 4800,6912, 4808,6496, 4816,6976,
11186    4824,7008, 4832,6944, 4840,7520, 4848,7008, 4856,8032, 4864,6160,
11187    4872,6168, 4880,6224, 4888,5024, 4896,6216, 4904,5536, 4912,6344,
11188    4920,6048, 4928,6416, 4936,6560, 4944,6480, 4952,7072, 4960,6728,
11189    4968,7584, 4976,6856, 4984,8096, 4992,6672, 5000,6680, 5008,6736,
11190    5016,5088, 5024,6232, 5032,5600, 5040,6360, 5048,6112, 5056,6928,
11191    5064,6624, 5072,6992, 5080,7136, 5088,6744, 5096,7648, 5104,6872,
11192    5112,8160, 5128,5152, 5136,5376, 5144,5408, 5168,5384, 5176,5672,
11193    5184,5376, 5192,6184, 5200,5392, 5208,6696, 5216,5408, 5224,7208,
11194    5232,5400, 5240,7720, 5248,7168, 5256,7200, 5264,7424, 5272,7456,
11195    5280,7176, 5288,7208, 5296,7432, 5304,5736, 5312,7184, 5320,6248,
11196    5328,7440, 5336,6760, 5344,7192, 5352,7272, 5360,7448, 5368,7784,
11197    5384,5408, 5392,5440, 5400,5472, 5408,6184, 5416,7208, 5424,5448,
11198    5432,5800, 5448,6312, 5464,6824, 5472,6696, 5480,7336, 5488,6824,
11199    5496,7848, 5504,7232, 5512,7264, 5520,7488, 5528,7520, 5536,7240,
11200    5544,7272, 5552,7496, 5560,5864, 5568,7248, 5576,6376, 5584,7504,
11201    5592,6888, 5600,7256, 5608,7400, 5616,7512, 5624,7912, 5632,7168,
11202    5640,7176, 5648,7232, 5656,7240, 5664,7200, 5672,7208, 5680,7264,
11203    5688,5928, 5696,7424, 5704,6440, 5712,7488, 5720,6952, 5728,7456,
11204    5736,7464, 5744,7520, 5752,7976, 5760,7296, 5768,7328, 5776,7552,
11205    5784,7584, 5792,7304, 5800,7336, 5808,7560, 5816,5992, 5824,7312,
11206    5832,6504, 5840,7568, 5848,7016, 5856,7320, 5864,7528, 5872,7576,
11207    5880,8040, 5888,7184, 5896,7192, 5904,7248, 5912,7256, 5920,6248,
11208    5928,7272, 5936,6376, 5944,6056, 5952,7440, 5960,6568, 5968,7504,
11209    5976,7080, 5984,6760, 5992,7592, 6000,6888, 6008,8104, 6016,7360,
11210    6024,7392, 6032,7616, 6040,7648, 6048,7368, 6056,7400, 6064,7624,
11211    6072,6120, 6080,7376, 6088,6632, 6096,7632, 6104,7144, 6112,7384,
11212    6120,7656, 6128,7640, 6136,8168, 6168,6240, 6192,6216, 6200,7264,
11213    6232,6704, 6248,7216, 6256,6680, 6264,7728, 6272,6656, 6280,6664,
11214    6288,6912, 6296,6496, 6304,6688, 6312,6696, 6320,6944, 6328,7520,
11215    6336,6672, 6344,6680, 6352,6928, 6360,6768, 6368,6704, 6376,7280,
11216    6384,6744, 6392,7792, 6408,6432, 6424,6752, 6440,7432, 6448,6536,
11217    6456,7560, 6472,6944, 6488,6832, 6496,6920, 6504,7344, 6512,7048,
11218    6520,7856, 6528,6720, 6536,6728, 6544,6976, 6552,7008, 6560,6752,
11219    6568,7448, 6576,7008, 6584,7576, 6592,6736, 6600,6744, 6608,6992,
11220    6616,6896, 6624,6936, 6632,7408, 6640,7064, 6648,7920, 6712,7280,
11221    6744,6960, 6760,7472, 6768,6936, 6776,7984, 6800,6848, 6808,6856,
11222    6832,6880, 6840,6888, 6848,7040, 6856,7048, 6864,7104, 6872,7024,
11223    6880,7072, 6888,7536, 6896,7136, 6904,8048, 6952,7496, 6968,7624,
11224    6984,7008, 7000,7088, 7016,7600, 7024,7112, 7032,8112, 7056,7104,
11225    7064,7112, 7080,7512, 7088,7136, 7096,7640, 7128,7152, 7144,7664,
11226    7160,8176, 7176,7200, 7192,7216, 7224,7272, 7240,7264, 7256,7280,
11227    7288,7736, 7296,7680, 7304,7712, 7312,7936, 7320,7968, 7328,7688,
11228    7336,7720, 7344,7944, 7352,7976, 7360,7696, 7368,7728, 7376,7952,
11229    7384,7984, 7392,7704, 7400,7736, 7408,7960, 7416,7800, 7432,7456,
11230    7448,7472, 7480,7592, 7496,7520, 7512,7536, 7528,7976, 7544,7864,
11231    7552,7744, 7560,7776, 7568,8000, 7576,8032, 7584,7752, 7592,7784,
11232    7600,8008, 7608,8040, 7616,7760, 7624,7792, 7632,8016, 7640,8048,
11233    7648,7768, 7656,7800, 7664,8024, 7672,7928, 7688,7712, 7704,7728,
11234    7752,7776, 7768,7792, 7800,7992, 7816,7840, 7824,8064, 7832,8096,
11235    7856,8072, 7864,8104, 7872,8064, 7880,8072, 7888,8080, 7896,8112,
11236    7904,8096, 7912,8104, 7920,8088, 7928,8056, 7944,7968, 7960,7984,
11237    8008,8032, 8024,8048, 8056,8120, 8072,8096, 8080,8128, 8088,8160,
11238    8112,8136, 8120,8168, 8136,8160, 8152,8176
11239 };
11240
11241 const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE2048_TABLE_LENGTH] =
11242 {
11243    //8x2, size 3808
11244    8,4096, 16,8192, 24,12288, 32,512, 40,4608, 48,8704, 56,12800, 64,1024,
11245    72,5120, 80,9216, 88,13312, 96,1536, 104,5632, 112,9728, 120,13824,
11246    128,2048, 136,6144, 144,10240, 152,14336, 160,2560, 168,6656, 176,10752,
11247    184,14848, 192,3072, 200,7168, 208,11264, 216,15360, 224,3584, 232,7680,
11248    240,11776, 248,15872, 256,1024, 264,4160, 272,8256, 280,12352, 288,576,
11249    296,4672, 304,8768, 312,12864, 320,1088, 328,5184, 336,9280, 344,13376,
11250    352,1600, 360,5696, 368,9792, 376,13888, 384,2112, 392,6208, 400,10304,
11251    408,14400, 416,2624, 424,6720, 432,10816, 440,14912, 448,3136, 456,7232,
11252    464,11328, 472,15424, 480,3648, 488,7744, 496,11840, 504,15936, 512,2048,
11253    520,4224, 528,8320, 536,12416, 544,640, 552,4736, 560,8832, 568,12928,
11254    576,1152, 584,5248, 592,9344, 600,13440, 608,1664, 616,5760, 624,9856,
11255    632,13952, 640,2176, 648,6272, 656,10368, 664,14464, 672,2688, 680,6784,
11256    688,10880, 696,14976, 704,3200, 712,7296, 720,11392, 728,15488, 736,3712,
11257    744,7808, 752,11904, 760,16000, 768,3072, 776,4288, 784,8384, 792,12480,
11258    800,3200, 808,4800, 816,8896, 824,12992, 832,1216, 840,5312, 848,9408,
11259    856,13504, 864,1728, 872,5824, 880,9920, 888,14016, 896,2240, 904,6336,
11260    912,10432, 920,14528, 928,2752, 936,6848, 944,10944, 952,15040, 960,3264,
11261    968,7360, 976,11456, 984,15552, 992,3776, 1000,7872, 1008,11968, 1016,16064,
11262    1032,4352, 1040,8448, 1048,12544, 1056,3072, 1064,4864, 1072,8960,
11263    1080,13056, 1088,1280, 1096,5376, 1104,9472, 1112,13568, 1120,1792,
11264    1128,5888, 1136,9984, 1144,14080, 1152,2304, 1160,6400, 1168,10496,
11265    1176,14592, 1184,2816, 1192,6912, 1200,11008, 1208,15104, 1216,3328,
11266    1224,7424, 1232,11520, 1240,15616, 1248,3840, 1256,7936, 1264,12032,
11267    1272,16128, 1288,4416, 1296,8512, 1304,12608, 1312,3328, 1320,4928,
11268    1328,9024, 1336,13120, 1352,5440, 1360,9536, 1368,13632, 1376,1856,
11269    1384,5952, 1392,10048, 1400,14144, 1408,2368, 1416,6464, 1424,10560,
11270    1432,14656, 1440,2880, 1448,6976, 1456,11072, 1464,15168, 1472,3392,
11271    1480,7488, 1488,11584, 1496,15680, 1504,3904, 1512,8000, 1520,12096,
11272    1528,16192, 1536,2112, 1544,4480, 1552,8576, 1560,12672, 1568,2240,
11273    1576,4992, 1584,9088, 1592,13184, 1600,2368, 1608,5504, 1616,9600,
11274    1624,13696, 1632,1920, 1640,6016, 1648,10112, 1656,14208, 1664,2432,
11275    1672,6528, 1680,10624, 1688,14720, 1696,2944, 1704,7040, 1712,11136,
11276    1720,15232, 1728,3456, 1736,7552, 1744,11648, 1752,15744, 1760,3968,
11277    1768,8064, 1776,12160, 1784,16256, 1792,3136, 1800,4544, 1808,8640,
11278    1816,12736, 1824,3264, 1832,5056, 1840,9152, 1848,13248, 1856,3392,
11279    1864,5568, 1872,9664, 1880,13760, 1888,1984, 1896,6080, 1904,10176,
11280    1912,14272, 1920,2496, 1928,6592, 1936,10688, 1944,14784, 1952,3008,
11281    1960,7104, 1968,11200, 1976,15296, 1984,3520, 1992,7616, 2000,11712,
11282    2008,15808, 2016,4032, 2024,8128, 2032,12224, 2040,16320, 2048,4096,
11283    2056,4104, 2064,8200, 2072,12296, 2080,4224, 2088,4616, 2096,8712,
11284    2104,12808, 2112,4352, 2120,5128, 2128,9224, 2136,13320, 2144,4480,
11285    2152,5640, 2160,9736, 2168,13832, 2176,4104, 2184,6152, 2192,10248,
11286    2200,14344, 2208,2568, 2216,6664, 2224,10760, 2232,14856, 2240,3080,
11287    2248,7176, 2256,11272, 2264,15368, 2272,3592, 2280,7688, 2288,11784,
11288    2296,15880, 2304,5120, 2312,4168, 2320,8264, 2328,12360, 2336,5248,
11289    2344,4680, 2352,8776, 2360,12872, 2368,5376, 2376,5192, 2384,9288,
11290    2392,13384, 2400,5504, 2408,5704, 2416,9800, 2424,13896, 2432,5128,
11291    2440,6216, 2448,10312, 2456,14408, 2464,2632, 2472,6728, 2480,10824,
11292    2488,14920, 2496,3144, 2504,7240, 2512,11336, 2520,15432, 2528,3656,
11293    2536,7752, 2544,11848, 2552,15944, 2560,6144, 2568,4232, 2576,8328,
11294    2584,12424, 2592,6272, 2600,4744, 2608,8840, 2616,12936, 2624,6400,
11295    2632,5256, 2640,9352, 2648,13448, 2656,6528, 2664,5768, 2672,9864,
11296    2680,13960, 2688,6152, 2696,6280, 2704,10376, 2712,14472, 2720,6280,
11297    2728,6792, 2736,10888, 2744,14984, 2752,3208, 2760,7304, 2768,11400,
11298    2776,15496, 2784,3720, 2792,7816, 2800,11912, 2808,16008, 2816,7168,
11299    2824,4296, 2832,8392, 2840,12488, 2848,7296, 2856,4808, 2864,8904,
11300    2872,13000, 2880,7424, 2888,5320, 2896,9416, 2904,13512, 2912,7552,
11301    2920,5832, 2928,9928, 2936,14024, 2944,7176, 2952,6344, 2960,10440,
11302    2968,14536, 2976,7304, 2984,6856, 2992,10952, 3000,15048, 3008,3272,
11303    3016,7368, 3024,11464, 3032,15560, 3040,3784, 3048,7880, 3056,11976,
11304    3064,16072, 3072,4160, 3080,4360, 3088,8456, 3096,12552, 3104,4288,
11305    3112,4872, 3120,8968, 3128,13064, 3136,4416, 3144,5384, 3152,9480,
11306    3160,13576, 3168,4544, 3176,5896, 3184,9992, 3192,14088, 3200,4168,
11307    3208,6408, 3216,10504, 3224,14600, 3232,4296, 3240,6920, 3248,11016,
11308    3256,15112, 3264,3336, 3272,7432, 3280,11528, 3288,15624, 3296,3848,
11309    3304,7944, 3312,12040, 3320,16136, 3328,5184, 3336,4424, 3344,8520,
11310    3352,12616, 3360,5312, 3368,4936, 3376,9032, 3384,13128, 3392,5440,
11311    3400,5448, 3408,9544, 3416,13640, 3424,5568, 3432,5960, 3440,10056,
11312    3448,14152, 3456,5192, 3464,6472, 3472,10568, 3480,14664, 3488,5320,
11313    3496,6984, 3504,11080, 3512,15176, 3520,5448, 3528,7496, 3536,11592,
11314    3544,15688, 3552,3912, 3560,8008, 3568,12104, 3576,16200, 3584,6208,
11315    3592,4488, 3600,8584, 3608,12680, 3616,6336, 3624,5000, 3632,9096,
11316    3640,13192, 3648,6464, 3656,5512, 3664,9608, 3672,13704, 3680,6592,
11317    3688,6024, 3696,10120, 3704,14216, 3712,6216, 3720,6536, 3728,10632,
11318    3736,14728, 3744,6344, 3752,7048, 3760,11144, 3768,15240, 3776,6472,
11319    3784,7560, 3792,11656, 3800,15752, 3808,3976, 3816,8072, 3824,12168,
11320    3832,16264, 3840,7232, 3848,4552, 3856,8648, 3864,12744, 3872,7360,
11321    3880,5064, 3888,9160, 3896,13256, 3904,7488, 3912,5576, 3920,9672,
11322    3928,13768, 3936,7616, 3944,6088, 3952,10184, 3960,14280, 3968,7240,
11323    3976,6600, 3984,10696, 3992,14792, 4000,7368, 4008,7112, 4016,11208,
11324    4024,15304, 4032,7496, 4040,7624, 4048,11720, 4056,15816, 4064,7624,
11325    4072,8136, 4080,12232, 4088,16328, 4096,8192, 4104,4112, 4112,8208,
11326    4120,12304, 4128,8320, 4136,4624, 4144,8720, 4152,12816, 4160,8448,
11327    4168,5136, 4176,9232, 4184,13328, 4192,8576, 4200,5648, 4208,9744,
11328    4216,13840, 4224,8200, 4232,6160, 4240,10256, 4248,14352, 4256,8328,
11329    4264,6672, 4272,10768, 4280,14864, 4288,8456, 4296,7184, 4304,11280,
11330    4312,15376, 4320,8584, 4328,7696, 4336,11792, 4344,15888, 4352,9216,
11331    4360,9232, 4368,8272, 4376,12368, 4384,9344, 4392,4688, 4400,8784,
11332    4408,12880, 4416,9472, 4424,5200, 4432,9296, 4440,13392, 4448,9600,
11333    4456,5712, 4464,9808, 4472,13904, 4480,9224, 4488,6224, 4496,10320,
11334    4504,14416, 4512,9352, 4520,6736, 4528,10832, 4536,14928, 4544,9480,
11335    4552,7248, 4560,11344, 4568,15440, 4576,9608, 4584,7760, 4592,11856,
11336    4600,15952, 4608,10240, 4616,10256, 4624,8336, 4632,12432, 4640,10368,
11337    4648,4752, 4656,8848, 4664,12944, 4672,10496, 4680,5264, 4688,9360,
11338    4696,13456, 4704,10624, 4712,5776, 4720,9872, 4728,13968, 4736,10248,
11339    4744,6288, 4752,10384, 4760,14480, 4768,10376, 4776,6800, 4784,10896,
11340    4792,14992, 4800,10504, 4808,7312, 4816,11408, 4824,15504, 4832,10632,
11341    4840,7824, 4848,11920, 4856,16016, 4864,11264, 4872,11280, 4880,8400,
11342    4888,12496, 4896,11392, 4904,11408, 4912,8912, 4920,13008, 4928,11520,
11343    4936,5328, 4944,9424, 4952,13520, 4960,11648, 4968,5840, 4976,9936,
11344    4984,14032, 4992,11272, 5000,6352, 5008,10448, 5016,14544, 5024,11400,
11345    5032,6864, 5040,10960, 5048,15056, 5056,11528, 5064,7376, 5072,11472,
11346    5080,15568, 5088,11656, 5096,7888, 5104,11984, 5112,16080, 5120,8256,
11347    5128,8272, 5136,8464, 5144,12560, 5152,8384, 5160,8400, 5168,8976,
11348    5176,13072, 5184,8512, 5192,5392, 5200,9488, 5208,13584, 5216,8640,
11349    5224,5904, 5232,10000, 5240,14096, 5248,8264, 5256,6416, 5264,10512,
11350    5272,14608, 5280,8392, 5288,6928, 5296,11024, 5304,15120, 5312,8520,
11351    5320,7440, 5328,11536, 5336,15632, 5344,8648, 5352,7952, 5360,12048,
11352    5368,16144, 5376,9280, 5384,9296, 5392,8528, 5400,12624, 5408,9408,
11353    5416,9424, 5424,9040, 5432,13136, 5440,9536, 5448,5456, 5456,9552,
11354    5464,13648, 5472,9664, 5480,5968, 5488,10064, 5496,14160, 5504,9288,
11355    5512,6480, 5520,10576, 5528,14672, 5536,9416, 5544,6992, 5552,11088,
11356    5560,15184, 5568,9544, 5576,7504, 5584,11600, 5592,15696, 5600,9672,
11357    5608,8016, 5616,12112, 5624,16208, 5632,10304, 5640,10320, 5648,8592,
11358    5656,12688, 5664,10432, 5672,10448, 5680,9104, 5688,13200, 5696,10560,
11359    5704,10576, 5712,9616, 5720,13712, 5728,10688, 5736,6032, 5744,10128,
11360    5752,14224, 5760,10312, 5768,6544, 5776,10640, 5784,14736, 5792,10440,
11361    5800,7056, 5808,11152, 5816,15248, 5824,10568, 5832,7568, 5840,11664,
11362    5848,15760, 5856,10696, 5864,8080, 5872,12176, 5880,16272, 5888,11328,
11363    5896,11344, 5904,8656, 5912,12752, 5920,11456, 5928,11472, 5936,9168,
11364    5944,13264, 5952,11584, 5960,11600, 5968,9680, 5976,13776, 5984,11712,
11365    5992,6096, 6000,10192, 6008,14288, 6016,11336, 6024,6608, 6032,10704,
11366    6040,14800, 6048,11464, 6056,7120, 6064,11216, 6072,15312, 6080,11592,
11367    6088,7632, 6096,11728, 6104,15824, 6112,11720, 6120,8144, 6128,12240,
11368    6136,16336, 6144,12288, 6152,12304, 6160,8216, 6168,12312, 6176,12416,
11369    6184,12432, 6192,8728, 6200,12824, 6208,12544, 6216,12560, 6224,9240,
11370    6232,13336, 6240,12672, 6248,12688, 6256,9752, 6264,13848, 6272,12296,
11371    6280,12312, 6288,10264, 6296,14360, 6304,12424, 6312,6680, 6320,10776,
11372    6328,14872, 6336,12552, 6344,7192, 6352,11288, 6360,15384, 6368,12680,
11373    6376,7704, 6384,11800, 6392,15896, 6400,13312, 6408,13328, 6416,8280,
11374    6424,12376, 6432,13440, 6440,13456, 6448,8792, 6456,12888, 6464,13568,
11375    6472,13584, 6480,9304, 6488,13400, 6496,13696, 6504,13712, 6512,9816,
11376    6520,13912, 6528,13320, 6536,13336, 6544,10328, 6552,14424, 6560,13448,
11377    6568,6744, 6576,10840, 6584,14936, 6592,13576, 6600,7256, 6608,11352,
11378    6616,15448, 6624,13704, 6632,7768, 6640,11864, 6648,15960, 6656,14336,
11379    6664,14352, 6672,8344, 6680,12440, 6688,14464, 6696,14480, 6704,8856,
11380    6712,12952, 6720,14592, 6728,14608, 6736,9368, 6744,13464, 6752,14720,
11381    6760,14736, 6768,9880, 6776,13976, 6784,14344, 6792,14360, 6800,10392,
11382    6808,14488, 6816,14472, 6824,14488, 6832,10904, 6840,15000, 6848,14600,
11383    6856,7320, 6864,11416, 6872,15512, 6880,14728, 6888,7832, 6896,11928,
11384    6904,16024, 6912,15360, 6920,15376, 6928,8408, 6936,12504, 6944,15488,
11385    6952,15504, 6960,8920, 6968,13016, 6976,15616, 6984,15632, 6992,9432,
11386    7000,13528, 7008,15744, 7016,15760, 7024,9944, 7032,14040, 7040,15368,
11387    7048,15384, 7056,10456, 7064,14552, 7072,15496, 7080,15512, 7088,10968,
11388    7096,15064, 7104,15624, 7112,7384, 7120,11480, 7128,15576, 7136,15752,
11389    7144,7896, 7152,11992, 7160,16088, 7168,12352, 7176,12368, 7184,8472,
11390    7192,12568, 7200,12480, 7208,12496, 7216,8984, 7224,13080, 7232,12608,
11391    7240,12624, 7248,9496, 7256,13592, 7264,12736, 7272,12752, 7280,10008,
11392    7288,14104, 7296,12360, 7304,12376, 7312,10520, 7320,14616, 7328,12488,
11393    7336,12504, 7344,11032, 7352,15128, 7360,12616, 7368,7448, 7376,11544,
11394    7384,15640, 7392,12744, 7400,7960, 7408,12056, 7416,16152, 7424,13376,
11395    7432,13392, 7440,8536, 7448,12632, 7456,13504, 7464,13520, 7472,9048,
11396    7480,13144, 7488,13632, 7496,13648, 7504,9560, 7512,13656, 7520,13760,
11397    7528,13776, 7536,10072, 7544,14168, 7552,13384, 7560,13400, 7568,10584,
11398    7576,14680, 7584,13512, 7592,13528, 7600,11096, 7608,15192, 7616,13640,
11399    7624,13656, 7632,11608, 7640,15704, 7648,13768, 7656,8024, 7664,12120,
11400    7672,16216, 7680,14400, 7688,14416, 7696,8600, 7704,12696, 7712,14528,
11401    7720,14544, 7728,9112, 7736,13208, 7744,14656, 7752,14672, 7760,9624,
11402    7768,13720, 7776,14784, 7784,14800, 7792,10136, 7800,14232, 7808,14408,
11403    7816,14424, 7824,10648, 7832,14744, 7840,14536, 7848,14552, 7856,11160,
11404    7864,15256, 7872,14664, 7880,14680, 7888,11672, 7896,15768, 7904,14792,
11405    7912,8088, 7920,12184, 7928,16280, 7936,15424, 7944,15440, 7952,8664,
11406    7960,12760, 7968,15552, 7976,15568, 7984,9176, 7992,13272, 8000,15680,
11407    8008,15696, 8016,9688, 8024,13784, 8032,15808, 8040,15824, 8048,10200,
11408    8056,14296, 8064,15432, 8072,15448, 8080,10712, 8088,14808, 8096,15560,
11409    8104,15576, 8112,11224, 8120,15320, 8128,15688, 8136,15704, 8144,11736,
11410    8152,15832, 8160,15816, 8168,15832, 8176,12248, 8184,16344, 8200,8320,
11411    8208,8224, 8216,12320, 8232,10368, 8240,8736, 8248,12832, 8256,8448,
11412    8264,8384, 8272,9248, 8280,13344, 8288,9232, 8296,10432, 8304,9760,
11413    8312,13856, 8328,12416, 8336,10272, 8344,14368, 8352,12296, 8360,14464,
11414    8368,10784, 8376,14880, 8384,8456, 8392,12480, 8400,11296, 8408,15392,
11415    8416,12552, 8424,14528, 8432,11808, 8440,15904, 8448,9216, 8456,8576,
11416    8464,9232, 8472,12384, 8480,9248, 8488,10624, 8496,8800, 8504,12896,
11417    8512,9472, 8520,8640, 8528,9312, 8536,13408, 8544,9296, 8552,10688,
11418    8560,9824, 8568,13920, 8576,9224, 8584,12672, 8592,10336, 8600,14432,
11419    8608,13320, 8616,14720, 8624,10848, 8632,14944, 8640,9480, 8648,12736,
11420    8656,11360, 8664,15456, 8672,13576, 8680,14784, 8688,11872, 8696,15968,
11421    8704,12288, 8712,12416, 8720,12296, 8728,12448, 8736,12304, 8744,10376,
11422    8752,8864, 8760,12960, 8768,12352, 8776,12480, 8784,9376, 8792,13472,
11423    8800,12368, 8808,10440, 8816,9888, 8824,13984, 8832,12320, 8840,12424,
11424    8848,10400, 8856,14496, 8864,12312, 8872,14472, 8880,10912, 8888,15008,
11425    8896,12384, 8904,12488, 8912,11424, 8920,15520, 8928,12568, 8936,14536,
11426    8944,11936, 8952,16032, 8960,12544, 8968,12672, 8976,12552, 8984,12512,
11427    8992,12560, 9000,10632, 9008,12568, 9016,13024, 9024,12608, 9032,12736,
11428    9040,9440, 9048,13536, 9056,12624, 9064,10696, 9072,9952, 9080,14048,
11429    9088,9240, 9096,12680, 9104,10464, 9112,14560, 9120,13336, 9128,14728,
11430    9136,10976, 9144,15072, 9152,9496, 9160,12744, 9168,11488, 9176,15584,
11431    9184,13592, 9192,14792, 9200,12000, 9208,16096, 9224,9344, 9232,9248,
11432    9240,12576, 9256,11392, 9264,12560, 9272,13088, 9280,9472, 9288,9408,
11433    9296,9504, 9304,13600, 9312,9488, 9320,11456, 9328,10016, 9336,14112,
11434    9352,13440, 9360,10528, 9368,14624, 9376,12360, 9384,15488, 9392,11040,
11435    9400,15136, 9408,9480, 9416,13504, 9424,11552, 9432,15648, 9440,12616,
11436    9448,15552, 9456,12064, 9464,16160, 9480,9600, 9488,9504, 9496,12640,
11437    9512,11648, 9520,12624, 9528,13152, 9544,9664, 9552,9568, 9560,13664,
11438    9576,11712, 9584,10080, 9592,14176, 9608,13696, 9616,10592, 9624,14688,
11439    9632,13384, 9640,15744, 9648,11104, 9656,15200, 9672,13760, 9680,11616,
11440    9688,15712, 9696,13640, 9704,15808, 9712,12128, 9720,16224, 9728,13312,
11441    9736,13440, 9744,13320, 9752,12704, 9760,13328, 9768,11400, 9776,13336,
11442    9784,13216, 9792,13376, 9800,13504, 9808,13384, 9816,13728, 9824,13392,
11443    9832,11464, 9840,10144, 9848,14240, 9856,13344, 9864,13448, 9872,10656,
11444    9880,14752, 9888,12376, 9896,15496, 9904,11168, 9912,15264, 9920,13408,
11445    9928,13512, 9936,11680, 9944,15776, 9952,12632, 9960,15560, 9968,12192,
11446    9976,16288, 9984,13568, 9992,13696, 10000,13576, 10008,12768, 10016,13584,
11447    10024,11656, 10032,13592, 10040,13280, 10048,13632, 10056,13760,
11448    10064,13640, 10072,13792, 10080,13648, 10088,11720, 10096,10208,
11449    10104,14304, 10112,13600, 10120,13704, 10128,10720, 10136,14816,
11450    10144,13400, 10152,15752, 10160,11232, 10168,15328, 10176,13664,
11451    10184,13768, 10192,11744, 10200,15840, 10208,13656, 10216,15816,
11452    10224,12256, 10232,16352, 10248,10272, 10256,10368, 10264,12328,
11453    10280,10384, 10288,10376, 10296,12840, 10304,11264, 10312,11296,
11454    10320,11392, 10328,13352, 10336,11272, 10344,10448, 10352,11400,
11455    10360,13864, 10376,12432, 10392,14376, 10400,12328, 10408,14480,
11456    10416,10792, 10424,14888, 10432,11280, 10440,12496, 10448,11304,
11457    10456,15400, 10464,11288, 10472,14544, 10480,11816, 10488,15912,
11458    10496,11264, 10504,11272, 10512,11280, 10520,12392, 10528,11296,
11459    10536,10640, 10544,12496, 10552,12904, 10560,11328, 10568,11360,
11460    10576,11456, 10584,13416, 10592,11336, 10600,10704, 10608,11464,
11461    10616,13928, 10624,11392, 10632,12688, 10640,11304, 10648,14440,
11462    10656,13352, 10664,14736, 10672,10856, 10680,14952, 10688,11344,
11463    10696,12752, 10704,11368, 10712,15464, 10720,11352, 10728,14800,
11464    10736,11880, 10744,15976, 10752,14336, 10760,14368, 10768,14464,
11465    10776,12456, 10784,14344, 10792,14376, 10800,14472, 10808,12968,
11466    10816,15360, 10824,15392, 10832,15488, 10840,13480, 10848,15368,
11467    10856,15400, 10864,15496, 10872,13992, 10880,14352, 10888,12440,
11468    10896,14480, 10904,14504, 10912,14360, 10920,14488, 10928,14488,
11469    10936,15016, 10944,15376, 10952,12504, 10960,11432, 10968,15528,
11470    10976,15384, 10984,14552, 10992,11944, 11000,16040, 11008,14400,
11471    11016,14432, 11024,14528, 11032,12520, 11040,14408, 11048,14440,
11472    11056,14536, 11064,13032, 11072,15424, 11080,15456, 11088,15552,
11473    11096,13544, 11104,15432, 11112,15464, 11120,15560, 11128,14056,
11474    11136,14416, 11144,12696, 11152,14544, 11160,14568, 11168,14424,
11475    11176,14744, 11184,14552, 11192,15080, 11200,15440, 11208,12760,
11476    11216,11496, 11224,15592, 11232,15448, 11240,14808, 11248,12008,
11477    11256,16104, 11272,11296, 11280,11392, 11288,12584, 11304,11408,
11478    11312,12688, 11320,13096, 11328,11520, 11336,11552, 11344,11648,
11479    11352,13608, 11360,11528, 11368,11472, 11376,11656, 11384,14120,
11480    11400,13456, 11416,14632, 11424,12392, 11432,15504, 11440,14440,
11481    11448,15144, 11456,11536, 11464,13520, 11472,11560, 11480,15656,
11482    11488,11544, 11496,15568, 11504,12072, 11512,16168, 11528,11552,
11483    11536,11648, 11544,12648, 11560,11664, 11568,12752, 11576,13160,
11484    11592,11616, 11600,11712, 11608,13672, 11624,11728, 11632,11720,
11485    11640,14184, 11656,13712, 11672,14696, 11680,13416, 11688,15760,
11486    11696,15464, 11704,15208, 11720,13776, 11736,15720, 11744,13672,
11487    11752,15824, 11760,12136, 11768,16232, 11776,14592, 11784,14624,
11488    11792,14720, 11800,12712, 11808,14600, 11816,14632, 11824,14728,
11489    11832,13224, 11840,15616, 11848,15648, 11856,15744, 11864,13736,
11490    11872,15624, 11880,15656, 11888,15752, 11896,14248, 11904,14608,
11491    11912,13464, 11920,14736, 11928,14760, 11936,14616, 11944,15512,
11492    11952,14744, 11960,15272, 11968,15632, 11976,13528, 11984,15760,
11493    11992,15784, 12000,15640, 12008,15576, 12016,12200, 12024,16296,
11494    12032,14656, 12040,14688, 12048,14784, 12056,12776, 12064,14664,
11495    12072,14696, 12080,14792, 12088,13288, 12096,15680, 12104,15712,
11496    12112,15808, 12120,13800, 12128,15688, 12136,15720, 12144,15816,
11497    12152,14312, 12160,14672, 12168,13720, 12176,14800, 12184,14824,
11498    12192,14680, 12200,15768, 12208,14808, 12216,15336, 12224,15696,
11499    12232,13784, 12240,15824, 12248,15848, 12256,15704, 12264,15832,
11500    12272,15832, 12280,16360, 12312,12336, 12344,12848, 12352,12544,
11501    12360,12552, 12368,12560, 12376,13360, 12384,12576, 12392,12584,
11502    12400,13336, 12408,13872, 12424,12448, 12440,14384, 12456,14496,
11503    12464,14472, 12472,14896, 12480,12672, 12488,12512, 12496,12688,
11504    12504,15408, 12512,12680, 12520,14560, 12528,14728, 12536,15920,
11505    12544,13312, 12552,13320, 12560,13328, 12568,13336, 12576,13344,
11506    12584,13352, 12592,13360, 12600,12912, 12608,13568, 12616,13576,
11507    12624,13584, 12632,13424, 12640,13600, 12648,13608, 12656,13400,
11508    12664,13936, 12672,13440, 12680,12704, 12688,13456, 12696,14448,
11509    12704,13448, 12712,14752, 12720,15496, 12728,14960, 12736,13696,
11510    12744,12768, 12752,13712, 12760,15472, 12768,13704, 12776,14816,
11511    12784,15752, 12792,15984, 12800,14336, 12808,14464, 12816,14344,
11512    12824,14472, 12832,14352, 12840,14480, 12848,14360, 12856,12976,
11513    12864,14400, 12872,14528, 12880,14408, 12888,13488, 12896,14416,
11514    12904,14544, 12912,14424, 12920,14000, 12928,14368, 12936,14496,
11515    12944,14376, 12952,14512, 12960,14384, 12968,14504, 12976,14488,
11516    12984,15024, 12992,14432, 13000,14560, 13008,14440, 13016,15536,
11517    13024,14448, 13032,14568, 13040,14744, 13048,16048, 13056,14592,
11518    13064,14720, 13072,14600, 13080,14728, 13088,14608, 13096,14736,
11519    13104,14616, 13112,14744, 13120,14656, 13128,14784, 13136,14664,
11520    13144,13552, 13152,14672, 13160,14800, 13168,14680, 13176,14064,
11521    13184,14624, 13192,14752, 13200,14632, 13208,14576, 13216,13464,
11522    13224,14760, 13232,15512, 13240,15088, 13248,14688, 13256,14816,
11523    13264,14696, 13272,15600, 13280,13720, 13288,14824, 13296,15768,
11524    13304,16112, 13336,13360, 13368,14616, 13376,13568, 13384,13576,
11525    13392,13584, 13400,13616, 13408,13600, 13416,13608, 13424,13592,
11526    13432,14128, 13448,13472, 13464,14640, 13480,15520, 13488,14536,
11527    13496,15152, 13504,13696, 13512,13536, 13520,13712, 13528,15664,
11528    13536,13704, 13544,15584, 13552,14792, 13560,16176, 13592,13616,
11529    13624,14680, 13656,13680, 13688,14192, 13704,13728, 13720,14704,
11530    13736,15776, 13744,15560, 13752,15216, 13768,13792, 13784,15728,
11531    13800,15840, 13808,15816, 13816,16240, 13824,15360, 13832,15488,
11532    13840,15368, 13848,15496, 13856,15376, 13864,15504, 13872,15384,
11533    13880,15512, 13888,15424, 13896,15552, 13904,15432, 13912,15560,
11534    13920,15440, 13928,15568, 13936,15448, 13944,14256, 13952,15392,
11535    13960,15520, 13968,15400, 13976,14768, 13984,15408, 13992,15528,
11536    14000,14552, 14008,15280, 14016,15456, 14024,15584, 14032,15464,
11537    14040,15792, 14048,15472, 14056,15592, 14064,14808, 14072,16304,
11538    14080,15616, 14088,15744, 14096,15624, 14104,15752, 14112,15632,
11539    14120,15760, 14128,15640, 14136,15768, 14144,15680, 14152,15808,
11540    14160,15688, 14168,15816, 14176,15696, 14184,15824, 14192,15704,
11541    14200,14320, 14208,15648, 14216,15776, 14224,15656, 14232,14832,
11542    14240,15664, 14248,15784, 14256,15576, 14264,15344, 14272,15712,
11543    14280,15840, 14288,15720, 14296,15856, 14304,15728, 14312,15848,
11544    14320,15832, 14328,16368, 14392,14488, 14400,14592, 14408,14600,
11545    14416,14608, 14424,14616, 14432,14624, 14440,14632, 14448,14640,
11546    14456,15512, 14504,14512, 14520,14904, 14528,14720, 14536,14728,
11547    14544,14736, 14552,15416, 14560,14752, 14568,14576, 14584,15928,
11548    14576,14760, 14592,15360, 14600,15368, 14608,15376, 14616,15384,
11549    14624,15392, 14632,15400, 14640,15408, 14648,15416, 14656,15616,
11550    14664,15624, 14672,15632, 14680,15640, 14688,15648, 14696,15656,
11551    14704,15664, 14712,15576, 14720,15488, 14728,15496, 14736,15504,
11552    14744,15512, 14752,15520, 14760,14768, 14776,14968, 14768,15528,
11553    14784,15744, 14792,15752, 14800,15760, 14808,15480, 14816,15776,
11554    14824,14832, 14840,15992, 14832,15784, 14856,14864, 14864,14880,
11555    14872,14896, 14880,14976, 14888,14992, 14896,15008, 14904,15024,
11556    14912,15104, 14920,15120, 14928,15136, 14936,15152, 14944,15232,
11557    14952,15248, 14960,15264, 14968,15280, 14984,15008, 15000,15024,
11558    15016,15024, 15040,15112, 15048,15128, 15056,15144, 15064,15544,
11559    15072,15240, 15080,15256, 15088,15272, 15096,16056, 15104,15872,
11560    15112,15888, 15120,15904, 15128,15920, 15136,16000, 15144,16016,
11561    15152,16032, 15160,16048, 15168,16128, 15176,16144, 15184,16160,
11562    15192,16176, 15200,16256, 15208,16272, 15216,16288, 15224,16304,
11563    15232,15880, 15240,15896, 15248,15912, 15256,15928, 15264,16008,
11564    15272,16024, 15280,16040, 15288,16056, 15296,16136, 15304,16152,
11565    15312,16168, 15320,15608, 15328,16264, 15336,16280, 15344,16296,
11566    15352,16120, 15416,15512, 15424,15616, 15432,15624, 15440,15632,
11567    15448,15640, 15456,15648, 15464,15656, 15472,15664, 15480,15768,
11568    15528,15536, 15544,16048, 15552,15744, 15560,15752, 15568,15760,
11569    15576,15672, 15584,15776, 15592,15600, 15600,15784, 15608,16184,
11570    15672,15768, 15736,15832, 15784,15792, 15800,16304, 15848,15856,
11571    15880,16000, 15864,16248, 15888,16000, 15896,16008, 15904,16000,
11572    15912,16016, 15920,16008, 15928,16024, 15936,16128, 15944,16160,
11573    15952,16256, 15960,16288, 15968,16136, 15976,16168, 15984,16264,
11574    15992,16296, 16008,16032, 16024,16040, 16064,16144, 16040,16048,
11575    16072,16176, 16080,16272, 16088,16304, 16096,16152, 16104,16184,
11576    16112,16280, 16136,16256, 16120,16312, 16144,16256, 16152,16264,
11577    16160,16256, 16168,16272, 16176,16264, 16184,16280, 16200,16208,
11578    16208,16224, 16216,16240, 16224,16320, 16232,16336, 16240,16352,
11579    16248,16368, 16264,16288, 16280,16296, 16296,16304, 16344,16368,
11580    16328,16352, 16360,16368
11581 };
11582
11583 const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE4096_TABLE_LENGTH] =
11584 {
11585    //radix 8, size 4032
11586    8,4096, 16,8192, 24,12288, 32,16384, 40,20480, 48,24576, 56,28672, 64,512,
11587    72,4608, 80,8704, 88,12800, 96,16896, 104,20992, 112,25088, 120,29184,
11588    128,1024, 136,5120, 144,9216, 152,13312, 160,17408, 168,21504, 176,25600,
11589    184,29696, 192,1536, 200,5632, 208,9728, 216,13824, 224,17920, 232,22016,
11590    240,26112, 248,30208, 256,2048, 264,6144, 272,10240, 280,14336, 288,18432,
11591    296,22528, 304,26624, 312,30720, 320,2560, 328,6656, 336,10752, 344,14848,
11592    352,18944, 360,23040, 368,27136, 376,31232, 384,3072, 392,7168, 400,11264,
11593    408,15360, 416,19456, 424,23552, 432,27648, 440,31744, 448,3584, 456,7680,
11594    464,11776, 472,15872, 480,19968, 488,24064, 496,28160, 504,32256, 520,4160,
11595    528,8256, 536,12352, 544,16448, 552,20544, 560,24640, 568,28736, 584,4672,
11596    592,8768, 600,12864, 608,16960, 616,21056, 624,25152, 632,29248, 640,1088,
11597    648,5184, 656,9280, 664,13376, 672,17472, 680,21568, 688,25664, 696,29760,
11598    704,1600, 712,5696, 720,9792, 728,13888, 736,17984, 744,22080, 752,26176,
11599    760,30272, 768,2112, 776,6208, 784,10304, 792,14400, 800,18496, 808,22592,
11600    816,26688, 824,30784, 832,2624, 840,6720, 848,10816, 856,14912, 864,19008,
11601    872,23104, 880,27200, 888,31296, 896,3136, 904,7232, 912,11328, 920,15424,
11602    928,19520, 936,23616, 944,27712, 952,31808, 960,3648, 968,7744, 976,11840,
11603    984,15936, 992,20032, 1000,24128, 1008,28224, 1016,32320, 1032,4224,
11604    1040,8320, 1048,12416, 1056,16512, 1064,20608, 1072,24704, 1080,28800,
11605    1096,4736, 1104,8832, 1112,12928, 1120,17024, 1128,21120, 1136,25216,
11606    1144,29312, 1160,5248, 1168,9344, 1176,13440, 1184,17536, 1192,21632,
11607    1200,25728, 1208,29824, 1216,1664, 1224,5760, 1232,9856, 1240,13952,
11608    1248,18048, 1256,22144, 1264,26240, 1272,30336, 1280,2176, 1288,6272,
11609    1296,10368, 1304,14464, 1312,18560, 1320,22656, 1328,26752, 1336,30848,
11610    1344,2688, 1352,6784, 1360,10880, 1368,14976, 1376,19072, 1384,23168,
11611    1392,27264, 1400,31360, 1408,3200, 1416,7296, 1424,11392, 1432,15488,
11612    1440,19584, 1448,23680, 1456,27776, 1464,31872, 1472,3712, 1480,7808,
11613    1488,11904, 1496,16000, 1504,20096, 1512,24192, 1520,28288, 1528,32384,
11614    1544,4288, 1552,8384, 1560,12480, 1568,16576, 1576,20672, 1584,24768,
11615    1592,28864, 1608,4800, 1616,8896, 1624,12992, 1632,17088, 1640,21184,
11616    1648,25280, 1656,29376, 1672,5312, 1680,9408, 1688,13504, 1696,17600,
11617    1704,21696, 1712,25792, 1720,29888, 1736,5824, 1744,9920, 1752,14016,
11618    1760,18112, 1768,22208, 1776,26304, 1784,30400, 1792,2240, 1800,6336,
11619    1808,10432, 1816,14528, 1824,18624, 1832,22720, 1840,26816, 1848,30912,
11620    1856,2752, 1864,6848, 1872,10944, 1880,15040, 1888,19136, 1896,23232,
11621    1904,27328, 1912,31424, 1920,3264, 1928,7360, 1936,11456, 1944,15552,
11622    1952,19648, 1960,23744, 1968,27840, 1976,31936, 1984,3776, 1992,7872,
11623    2000,11968, 2008,16064, 2016,20160, 2024,24256, 2032,28352, 2040,32448,
11624    2056,4352, 2064,8448, 2072,12544, 2080,16640, 2088,20736, 2096,24832,
11625    2104,28928, 2120,4864, 2128,8960, 2136,13056, 2144,17152, 2152,21248,
11626    2160,25344, 2168,29440, 2184,5376, 2192,9472, 2200,13568, 2208,17664,
11627    2216,21760, 2224,25856, 2232,29952, 2248,5888, 2256,9984, 2264,14080,
11628    2272,18176, 2280,22272, 2288,26368, 2296,30464, 2312,6400, 2320,10496,
11629    2328,14592, 2336,18688, 2344,22784, 2352,26880, 2360,30976, 2368,2816,
11630    2376,6912, 2384,11008, 2392,15104, 2400,19200, 2408,23296, 2416,27392,
11631    2424,31488, 2432,3328, 2440,7424, 2448,11520, 2456,15616, 2464,19712,
11632    2472,23808, 2480,27904, 2488,32000, 2496,3840, 2504,7936, 2512,12032,
11633    2520,16128, 2528,20224, 2536,24320, 2544,28416, 2552,32512, 2568,4416,
11634    2576,8512, 2584,12608, 2592,16704, 2600,20800, 2608,24896, 2616,28992,
11635    2632,4928, 2640,9024, 2648,13120, 2656,17216, 2664,21312, 2672,25408,
11636    2680,29504, 2696,5440, 2704,9536, 2712,13632, 2720,17728, 2728,21824,
11637    2736,25920, 2744,30016, 2760,5952, 2768,10048, 2776,14144, 2784,18240,
11638    2792,22336, 2800,26432, 2808,30528, 2824,6464, 2832,10560, 2840,14656,
11639    2848,18752, 2856,22848, 2864,26944, 2872,31040, 2888,6976, 2896,11072,
11640    2904,15168, 2912,19264, 2920,23360, 2928,27456, 2936,31552, 2944,3392,
11641    2952,7488, 2960,11584, 2968,15680, 2976,19776, 2984,23872, 2992,27968,
11642    3000,32064, 3008,3904, 3016,8000, 3024,12096, 3032,16192, 3040,20288,
11643    3048,24384, 3056,28480, 3064,32576, 3080,4480, 3088,8576, 3096,12672,
11644    3104,16768, 3112,20864, 3120,24960, 3128,29056, 3144,4992, 3152,9088,
11645    3160,13184, 3168,17280, 3176,21376, 3184,25472, 3192,29568, 3208,5504,
11646    3216,9600, 3224,13696, 3232,17792, 3240,21888, 3248,25984, 3256,30080,
11647    3272,6016, 3280,10112, 3288,14208, 3296,18304, 3304,22400, 3312,26496,
11648    3320,30592, 3336,6528, 3344,10624, 3352,14720, 3360,18816, 3368,22912,
11649    3376,27008, 3384,31104, 3400,7040, 3408,11136, 3416,15232, 3424,19328,
11650    3432,23424, 3440,27520, 3448,31616, 3464,7552, 3472,11648, 3480,15744,
11651    3488,19840, 3496,23936, 3504,28032, 3512,32128, 3520,3968, 3528,8064,
11652    3536,12160, 3544,16256, 3552,20352, 3560,24448, 3568,28544, 3576,32640,
11653    3592,4544, 3600,8640, 3608,12736, 3616,16832, 3624,20928, 3632,25024,
11654    3640,29120, 3656,5056, 3664,9152, 3672,13248, 3680,17344, 3688,21440,
11655    3696,25536, 3704,29632, 3720,5568, 3728,9664, 3736,13760, 3744,17856,
11656    3752,21952, 3760,26048, 3768,30144, 3784,6080, 3792,10176, 3800,14272,
11657    3808,18368, 3816,22464, 3824,26560, 3832,30656, 3848,6592, 3856,10688,
11658    3864,14784, 3872,18880, 3880,22976, 3888,27072, 3896,31168, 3912,7104,
11659    3920,11200, 3928,15296, 3936,19392, 3944,23488, 3952,27584, 3960,31680,
11660    3976,7616, 3984,11712, 3992,15808, 4000,19904, 4008,24000, 4016,28096,
11661    4024,32192, 4040,8128, 4048,12224, 4056,16320, 4064,20416, 4072,24512,
11662    4080,28608, 4088,32704, 4112,8200, 4120,12296, 4128,16392, 4136,20488,
11663    4144,24584, 4152,28680, 4168,4616, 4176,8712, 4184,12808, 4192,16904,
11664    4200,21000, 4208,25096, 4216,29192, 4232,5128, 4240,9224, 4248,13320,
11665    4256,17416, 4264,21512, 4272,25608, 4280,29704, 4296,5640, 4304,9736,
11666    4312,13832, 4320,17928, 4328,22024, 4336,26120, 4344,30216, 4360,6152,
11667    4368,10248, 4376,14344, 4384,18440, 4392,22536, 4400,26632, 4408,30728,
11668    4424,6664, 4432,10760, 4440,14856, 4448,18952, 4456,23048, 4464,27144,
11669    4472,31240, 4488,7176, 4496,11272, 4504,15368, 4512,19464, 4520,23560,
11670    4528,27656, 4536,31752, 4552,7688, 4560,11784, 4568,15880, 4576,19976,
11671    4584,24072, 4592,28168, 4600,32264, 4624,8264, 4632,12360, 4640,16456,
11672    4648,20552, 4656,24648, 4664,28744, 4688,8776, 4696,12872, 4704,16968,
11673    4712,21064, 4720,25160, 4728,29256, 4744,5192, 4752,9288, 4760,13384,
11674    4768,17480, 4776,21576, 4784,25672, 4792,29768, 4808,5704, 4816,9800,
11675    4824,13896, 4832,17992, 4840,22088, 4848,26184, 4856,30280, 4872,6216,
11676    4880,10312, 4888,14408, 4896,18504, 4904,22600, 4912,26696, 4920,30792,
11677    4936,6728, 4944,10824, 4952,14920, 4960,19016, 4968,23112, 4976,27208,
11678    4984,31304, 5000,7240, 5008,11336, 5016,15432, 5024,19528, 5032,23624,
11679    5040,27720, 5048,31816, 5064,7752, 5072,11848, 5080,15944, 5088,20040,
11680    5096,24136, 5104,28232, 5112,32328, 5136,8328, 5144,12424, 5152,16520,
11681    5160,20616, 5168,24712, 5176,28808, 5200,8840, 5208,12936, 5216,17032,
11682    5224,21128, 5232,25224, 5240,29320, 5264,9352, 5272,13448, 5280,17544,
11683    5288,21640, 5296,25736, 5304,29832, 5320,5768, 5328,9864, 5336,13960,
11684    5344,18056, 5352,22152, 5360,26248, 5368,30344, 5384,6280, 5392,10376,
11685    5400,14472, 5408,18568, 5416,22664, 5424,26760, 5432,30856, 5448,6792,
11686    5456,10888, 5464,14984, 5472,19080, 5480,23176, 5488,27272, 5496,31368,
11687    5512,7304, 5520,11400, 5528,15496, 5536,19592, 5544,23688, 5552,27784,
11688    5560,31880, 5576,7816, 5584,11912, 5592,16008, 5600,20104, 5608,24200,
11689    5616,28296, 5624,32392, 5648,8392, 5656,12488, 5664,16584, 5672,20680,
11690    5680,24776, 5688,28872, 5712,8904, 5720,13000, 5728,17096, 5736,21192,
11691    5744,25288, 5752,29384, 5776,9416, 5784,13512, 5792,17608, 5800,21704,
11692    5808,25800, 5816,29896, 5840,9928, 5848,14024, 5856,18120, 5864,22216,
11693    5872,26312, 5880,30408, 5896,6344, 5904,10440, 5912,14536, 5920,18632,
11694    5928,22728, 5936,26824, 5944,30920, 5960,6856, 5968,10952, 5976,15048,
11695    5984,19144, 5992,23240, 6000,27336, 6008,31432, 6024,7368, 6032,11464,
11696    6040,15560, 6048,19656, 6056,23752, 6064,27848, 6072,31944, 6088,7880,
11697    6096,11976, 6104,16072, 6112,20168, 6120,24264, 6128,28360, 6136,32456,
11698    6160,8456, 6168,12552, 6176,16648, 6184,20744, 6192,24840, 6200,28936,
11699    6224,8968, 6232,13064, 6240,17160, 6248,21256, 6256,25352, 6264,29448,
11700    6288,9480, 6296,13576, 6304,17672, 6312,21768, 6320,25864, 6328,29960,
11701    6352,9992, 6360,14088, 6368,18184, 6376,22280, 6384,26376, 6392,30472,
11702    6416,10504, 6424,14600, 6432,18696, 6440,22792, 6448,26888, 6456,30984,
11703    6472,6920, 6480,11016, 6488,15112, 6496,19208, 6504,23304, 6512,27400,
11704    6520,31496, 6536,7432, 6544,11528, 6552,15624, 6560,19720, 6568,23816,
11705    6576,27912, 6584,32008, 6600,7944, 6608,12040, 6616,16136, 6624,20232,
11706    6632,24328, 6640,28424, 6648,32520, 6672,8520, 6680,12616, 6688,16712,
11707    6696,20808, 6704,24904, 6712,29000, 6736,9032, 6744,13128, 6752,17224,
11708    6760,21320, 6768,25416, 6776,29512, 6800,9544, 6808,13640, 6816,17736,
11709    6824,21832, 6832,25928, 6840,30024, 6864,10056, 6872,14152, 6880,18248,
11710    6888,22344, 6896,26440, 6904,30536, 6928,10568, 6936,14664, 6944,18760,
11711    6952,22856, 6960,26952, 6968,31048, 6992,11080, 7000,15176, 7008,19272,
11712    7016,23368, 7024,27464, 7032,31560, 7048,7496, 7056,11592, 7064,15688,
11713    7072,19784, 7080,23880, 7088,27976, 7096,32072, 7112,8008, 7120,12104,
11714    7128,16200, 7136,20296, 7144,24392, 7152,28488, 7160,32584, 7184,8584,
11715    7192,12680, 7200,16776, 7208,20872, 7216,24968, 7224,29064, 7248,9096,
11716    7256,13192, 7264,17288, 7272,21384, 7280,25480, 7288,29576, 7312,9608,
11717    7320,13704, 7328,17800, 7336,21896, 7344,25992, 7352,30088, 7376,10120,
11718    7384,14216, 7392,18312, 7400,22408, 7408,26504, 7416,30600, 7440,10632,
11719    7448,14728, 7456,18824, 7464,22920, 7472,27016, 7480,31112, 7504,11144,
11720    7512,15240, 7520,19336, 7528,23432, 7536,27528, 7544,31624, 7568,11656,
11721    7576,15752, 7584,19848, 7592,23944, 7600,28040, 7608,32136, 7624,8072,
11722    7632,12168, 7640,16264, 7648,20360, 7656,24456, 7664,28552, 7672,32648,
11723    7696,8648, 7704,12744, 7712,16840, 7720,20936, 7728,25032, 7736,29128,
11724    7760,9160, 7768,13256, 7776,17352, 7784,21448, 7792,25544, 7800,29640,
11725    7824,9672, 7832,13768, 7840,17864, 7848,21960, 7856,26056, 7864,30152,
11726    7888,10184, 7896,14280, 7904,18376, 7912,22472, 7920,26568, 7928,30664,
11727    7952,10696, 7960,14792, 7968,18888, 7976,22984, 7984,27080, 7992,31176,
11728    8016,11208, 8024,15304, 8032,19400, 8040,23496, 8048,27592, 8056,31688,
11729    8080,11720, 8088,15816, 8096,19912, 8104,24008, 8112,28104, 8120,32200,
11730    8144,12232, 8152,16328, 8160,20424, 8168,24520, 8176,28616, 8184,32712,
11731    8216,12304, 8224,16400, 8232,20496, 8240,24592, 8248,28688, 8272,8720,
11732    8280,12816, 8288,16912, 8296,21008, 8304,25104, 8312,29200, 8336,9232,
11733    8344,13328, 8352,17424, 8360,21520, 8368,25616, 8376,29712, 8400,9744,
11734    8408,13840, 8416,17936, 8424,22032, 8432,26128, 8440,30224, 8464,10256,
11735    8472,14352, 8480,18448, 8488,22544, 8496,26640, 8504,30736, 8528,10768,
11736    8536,14864, 8544,18960, 8552,23056, 8560,27152, 8568,31248, 8592,11280,
11737    8600,15376, 8608,19472, 8616,23568, 8624,27664, 8632,31760, 8656,11792,
11738    8664,15888, 8672,19984, 8680,24080, 8688,28176, 8696,32272, 8728,12368,
11739    8736,16464, 8744,20560, 8752,24656, 8760,28752, 8792,12880, 8800,16976,
11740    8808,21072, 8816,25168, 8824,29264, 8848,9296, 8856,13392, 8864,17488,
11741    8872,21584, 8880,25680, 8888,29776, 8912,9808, 8920,13904, 8928,18000,
11742    8936,22096, 8944,26192, 8952,30288, 8976,10320, 8984,14416, 8992,18512,
11743    9000,22608, 9008,26704, 9016,30800, 9040,10832, 9048,14928, 9056,19024,
11744    9064,23120, 9072,27216, 9080,31312, 9104,11344, 9112,15440, 9120,19536,
11745    9128,23632, 9136,27728, 9144,31824, 9168,11856, 9176,15952, 9184,20048,
11746    9192,24144, 9200,28240, 9208,32336, 9240,12432, 9248,16528, 9256,20624,
11747    9264,24720, 9272,28816, 9304,12944, 9312,17040, 9320,21136, 9328,25232,
11748    9336,29328, 9368,13456, 9376,17552, 9384,21648, 9392,25744, 9400,29840,
11749    9424,9872, 9432,13968, 9440,18064, 9448,22160, 9456,26256, 9464,30352,
11750    9488,10384, 9496,14480, 9504,18576, 9512,22672, 9520,26768, 9528,30864,
11751    9552,10896, 9560,14992, 9568,19088, 9576,23184, 9584,27280, 9592,31376,
11752    9616,11408, 9624,15504, 9632,19600, 9640,23696, 9648,27792, 9656,31888,
11753    9680,11920, 9688,16016, 9696,20112, 9704,24208, 9712,28304, 9720,32400,
11754    9752,12496, 9760,16592, 9768,20688, 9776,24784, 9784,28880, 9816,13008,
11755    9824,17104, 9832,21200, 9840,25296, 9848,29392, 9880,13520, 9888,17616,
11756    9896,21712, 9904,25808, 9912,29904, 9944,14032, 9952,18128, 9960,22224,
11757    9968,26320, 9976,30416, 10000,10448, 10008,14544, 10016,18640, 10024,22736,
11758    10032,26832, 10040,30928, 10064,10960, 10072,15056, 10080,19152,
11759    10088,23248, 10096,27344, 10104,31440, 10128,11472, 10136,15568,
11760    10144,19664, 10152,23760, 10160,27856, 10168,31952, 10192,11984,
11761    10200,16080, 10208,20176, 10216,24272, 10224,28368, 10232,32464,
11762    10264,12560, 10272,16656, 10280,20752, 10288,24848, 10296,28944,
11763    10328,13072, 10336,17168, 10344,21264, 10352,25360, 10360,29456,
11764    10392,13584, 10400,17680, 10408,21776, 10416,25872, 10424,29968,
11765    10456,14096, 10464,18192, 10472,22288, 10480,26384, 10488,30480,
11766    10520,14608, 10528,18704, 10536,22800, 10544,26896, 10552,30992,
11767    10576,11024, 10584,15120, 10592,19216, 10600,23312, 10608,27408,
11768    10616,31504, 10640,11536, 10648,15632, 10656,19728, 10664,23824,
11769    10672,27920, 10680,32016, 10704,12048, 10712,16144, 10720,20240,
11770    10728,24336, 10736,28432, 10744,32528, 10776,12624, 10784,16720,
11771    10792,20816, 10800,24912, 10808,29008, 10840,13136, 10848,17232,
11772    10856,21328, 10864,25424, 10872,29520, 10904,13648, 10912,17744,
11773    10920,21840, 10928,25936, 10936,30032, 10968,14160, 10976,18256,
11774    10984,22352, 10992,26448, 11000,30544, 11032,14672, 11040,18768,
11775    11048,22864, 11056,26960, 11064,31056, 11096,15184, 11104,19280,
11776    11112,23376, 11120,27472, 11128,31568, 11152,11600, 11160,15696,
11777    11168,19792, 11176,23888, 11184,27984, 11192,32080, 11216,12112,
11778    11224,16208, 11232,20304, 11240,24400, 11248,28496, 11256,32592,
11779    11288,12688, 11296,16784, 11304,20880, 11312,24976, 11320,29072,
11780    11352,13200, 11360,17296, 11368,21392, 11376,25488, 11384,29584,
11781    11416,13712, 11424,17808, 11432,21904, 11440,26000, 11448,30096,
11782    11480,14224, 11488,18320, 11496,22416, 11504,26512, 11512,30608,
11783    11544,14736, 11552,18832, 11560,22928, 11568,27024, 11576,31120,
11784    11608,15248, 11616,19344, 11624,23440, 11632,27536, 11640,31632,
11785    11672,15760, 11680,19856, 11688,23952, 11696,28048, 11704,32144,
11786    11728,12176, 11736,16272, 11744,20368, 11752,24464, 11760,28560,
11787    11768,32656, 11800,12752, 11808,16848, 11816,20944, 11824,25040,
11788    11832,29136, 11864,13264, 11872,17360, 11880,21456, 11888,25552,
11789    11896,29648, 11928,13776, 11936,17872, 11944,21968, 11952,26064,
11790    11960,30160, 11992,14288, 12000,18384, 12008,22480, 12016,26576,
11791    12024,30672, 12056,14800, 12064,18896, 12072,22992, 12080,27088,
11792    12088,31184, 12120,15312, 12128,19408, 12136,23504, 12144,27600,
11793    12152,31696, 12184,15824, 12192,19920, 12200,24016, 12208,28112,
11794    12216,32208, 12248,16336, 12256,20432, 12264,24528, 12272,28624,
11795    12280,32720, 12320,16408, 12328,20504, 12336,24600, 12344,28696,
11796    12376,12824, 12384,16920, 12392,21016, 12400,25112, 12408,29208,
11797    12440,13336, 12448,17432, 12456,21528, 12464,25624, 12472,29720,
11798    12504,13848, 12512,17944, 12520,22040, 12528,26136, 12536,30232,
11799    12568,14360, 12576,18456, 12584,22552, 12592,26648, 12600,30744,
11800    12632,14872, 12640,18968, 12648,23064, 12656,27160, 12664,31256,
11801    12696,15384, 12704,19480, 12712,23576, 12720,27672, 12728,31768,
11802    12760,15896, 12768,19992, 12776,24088, 12784,28184, 12792,32280,
11803    12832,16472, 12840,20568, 12848,24664, 12856,28760, 12896,16984,
11804    12904,21080, 12912,25176, 12920,29272, 12952,13400, 12960,17496,
11805    12968,21592, 12976,25688, 12984,29784, 13016,13912, 13024,18008,
11806    13032,22104, 13040,26200, 13048,30296, 13080,14424, 13088,18520,
11807    13096,22616, 13104,26712, 13112,30808, 13144,14936, 13152,19032,
11808    13160,23128, 13168,27224, 13176,31320, 13208,15448, 13216,19544,
11809    13224,23640, 13232,27736, 13240,31832, 13272,15960, 13280,20056,
11810    13288,24152, 13296,28248, 13304,32344, 13344,16536, 13352,20632,
11811    13360,24728, 13368,28824, 13408,17048, 13416,21144, 13424,25240,
11812    13432,29336, 13472,17560, 13480,21656, 13488,25752, 13496,29848,
11813    13528,13976, 13536,18072, 13544,22168, 13552,26264, 13560,30360,
11814    13592,14488, 13600,18584, 13608,22680, 13616,26776, 13624,30872,
11815    13656,15000, 13664,19096, 13672,23192, 13680,27288, 13688,31384,
11816    13720,15512, 13728,19608, 13736,23704, 13744,27800, 13752,31896,
11817    13784,16024, 13792,20120, 13800,24216, 13808,28312, 13816,32408,
11818    13856,16600, 13864,20696, 13872,24792, 13880,28888, 13920,17112,
11819    13928,21208, 13936,25304, 13944,29400, 13984,17624, 13992,21720,
11820    14000,25816, 14008,29912, 14048,18136, 14056,22232, 14064,26328,
11821    14072,30424, 14104,14552, 14112,18648, 14120,22744, 14128,26840,
11822    14136,30936, 14168,15064, 14176,19160, 14184,23256, 14192,27352,
11823    14200,31448, 14232,15576, 14240,19672, 14248,23768, 14256,27864,
11824    14264,31960, 14296,16088, 14304,20184, 14312,24280, 14320,28376,
11825    14328,32472, 14368,16664, 14376,20760, 14384,24856, 14392,28952,
11826    14432,17176, 14440,21272, 14448,25368, 14456,29464, 14496,17688,
11827    14504,21784, 14512,25880, 14520,29976, 14560,18200, 14568,22296,
11828    14576,26392, 14584,30488, 14624,18712, 14632,22808, 14640,26904,
11829    14648,31000, 14680,15128, 14688,19224, 14696,23320, 14704,27416,
11830    14712,31512, 14744,15640, 14752,19736, 14760,23832, 14768,27928,
11831    14776,32024, 14808,16152, 14816,20248, 14824,24344, 14832,28440,
11832    14840,32536, 14880,16728, 14888,20824, 14896,24920, 14904,29016,
11833    14944,17240, 14952,21336, 14960,25432, 14968,29528, 15008,17752,
11834    15016,21848, 15024,25944, 15032,30040, 15072,18264, 15080,22360,
11835    15088,26456, 15096,30552, 15136,18776, 15144,22872, 15152,26968,
11836    15160,31064, 15200,19288, 15208,23384, 15216,27480, 15224,31576,
11837    15256,15704, 15264,19800, 15272,23896, 15280,27992, 15288,32088,
11838    15320,16216, 15328,20312, 15336,24408, 15344,28504, 15352,32600,
11839    15392,16792, 15400,20888, 15408,24984, 15416,29080, 15456,17304,
11840    15464,21400, 15472,25496, 15480,29592, 15520,17816, 15528,21912,
11841    15536,26008, 15544,30104, 15584,18328, 15592,22424, 15600,26520,
11842    15608,30616, 15648,18840, 15656,22936, 15664,27032, 15672,31128,
11843    15712,19352, 15720,23448, 15728,27544, 15736,31640, 15776,19864,
11844    15784,23960, 15792,28056, 15800,32152, 15832,16280, 15840,20376,
11845    15848,24472, 15856,28568, 15864,32664, 15904,16856, 15912,20952,
11846    15920,25048, 15928,29144, 15968,17368, 15976,21464, 15984,25560,
11847    15992,29656, 16032,17880, 16040,21976, 16048,26072, 16056,30168,
11848    16096,18392, 16104,22488, 16112,26584, 16120,30680, 16160,18904,
11849    16168,23000, 16176,27096, 16184,31192, 16224,19416, 16232,23512,
11850    16240,27608, 16248,31704, 16288,19928, 16296,24024, 16304,28120,
11851    16312,32216, 16352,20440, 16360,24536, 16368,28632, 16376,32728,
11852    16424,20512, 16432,24608, 16440,28704, 16480,16928, 16488,21024,
11853    16496,25120, 16504,29216, 16544,17440, 16552,21536, 16560,25632,
11854    16568,29728, 16608,17952, 16616,22048, 16624,26144, 16632,30240,
11855    16672,18464, 16680,22560, 16688,26656, 16696,30752, 16736,18976,
11856    16744,23072, 16752,27168, 16760,31264, 16800,19488, 16808,23584,
11857    16816,27680, 16824,31776, 16864,20000, 16872,24096, 16880,28192,
11858    16888,32288, 16936,20576, 16944,24672, 16952,28768, 17000,21088,
11859    17008,25184, 17016,29280, 17056,17504, 17064,21600, 17072,25696,
11860    17080,29792, 17120,18016, 17128,22112, 17136,26208, 17144,30304,
11861    17184,18528, 17192,22624, 17200,26720, 17208,30816, 17248,19040,
11862    17256,23136, 17264,27232, 17272,31328, 17312,19552, 17320,23648,
11863    17328,27744, 17336,31840, 17376,20064, 17384,24160, 17392,28256,
11864    17400,32352, 17448,20640, 17456,24736, 17464,28832, 17512,21152,
11865    17520,25248, 17528,29344, 17576,21664, 17584,25760, 17592,29856,
11866    17632,18080, 17640,22176, 17648,26272, 17656,30368, 17696,18592,
11867    17704,22688, 17712,26784, 17720,30880, 17760,19104, 17768,23200,
11868    17776,27296, 17784,31392, 17824,19616, 17832,23712, 17840,27808,
11869    17848,31904, 17888,20128, 17896,24224, 17904,28320, 17912,32416,
11870    17960,20704, 17968,24800, 17976,28896, 18024,21216, 18032,25312,
11871    18040,29408, 18088,21728, 18096,25824, 18104,29920, 18152,22240,
11872    18160,26336, 18168,30432, 18208,18656, 18216,22752, 18224,26848,
11873    18232,30944, 18272,19168, 18280,23264, 18288,27360, 18296,31456,
11874    18336,19680, 18344,23776, 18352,27872, 18360,31968, 18400,20192,
11875    18408,24288, 18416,28384, 18424,32480, 18472,20768, 18480,24864,
11876    18488,28960, 18536,21280, 18544,25376, 18552,29472, 18600,21792,
11877    18608,25888, 18616,29984, 18664,22304, 18672,26400, 18680,30496,
11878    18728,22816, 18736,26912, 18744,31008, 18784,19232, 18792,23328,
11879    18800,27424, 18808,31520, 18848,19744, 18856,23840, 18864,27936,
11880    18872,32032, 18912,20256, 18920,24352, 18928,28448, 18936,32544,
11881    18984,20832, 18992,24928, 19000,29024, 19048,21344, 19056,25440,
11882    19064,29536, 19112,21856, 19120,25952, 19128,30048, 19176,22368,
11883    19184,26464, 19192,30560, 19240,22880, 19248,26976, 19256,31072,
11884    19304,23392, 19312,27488, 19320,31584, 19360,19808, 19368,23904,
11885    19376,28000, 19384,32096, 19424,20320, 19432,24416, 19440,28512,
11886    19448,32608, 19496,20896, 19504,24992, 19512,29088, 19560,21408,
11887    19568,25504, 19576,29600, 19624,21920, 19632,26016, 19640,30112,
11888    19688,22432, 19696,26528, 19704,30624, 19752,22944, 19760,27040,
11889    19768,31136, 19816,23456, 19824,27552, 19832,31648, 19880,23968,
11890    19888,28064, 19896,32160, 19936,20384, 19944,24480, 19952,28576,
11891    19960,32672, 20008,20960, 20016,25056, 20024,29152, 20072,21472,
11892    20080,25568, 20088,29664, 20136,21984, 20144,26080, 20152,30176,
11893    20200,22496, 20208,26592, 20216,30688, 20264,23008, 20272,27104,
11894    20280,31200, 20328,23520, 20336,27616, 20344,31712, 20392,24032,
11895    20400,28128, 20408,32224, 20456,24544, 20464,28640, 20472,32736,
11896    20528,24616, 20536,28712, 20584,21032, 20592,25128, 20600,29224,
11897    20648,21544, 20656,25640, 20664,29736, 20712,22056, 20720,26152,
11898    20728,30248, 20776,22568, 20784,26664, 20792,30760, 20840,23080,
11899    20848,27176, 20856,31272, 20904,23592, 20912,27688, 20920,31784,
11900    20968,24104, 20976,28200, 20984,32296, 21040,24680, 21048,28776,
11901    21104,25192, 21112,29288, 21160,21608, 21168,25704, 21176,29800,
11902    21224,22120, 21232,26216, 21240,30312, 21288,22632, 21296,26728,
11903    21304,30824, 21352,23144, 21360,27240, 21368,31336, 21416,23656,
11904    21424,27752, 21432,31848, 21480,24168, 21488,28264, 21496,32360,
11905    21552,24744, 21560,28840, 21616,25256, 21624,29352, 21680,25768,
11906    21688,29864, 21736,22184, 21744,26280, 21752,30376, 21800,22696,
11907    21808,26792, 21816,30888, 21864,23208, 21872,27304, 21880,31400,
11908    21928,23720, 21936,27816, 21944,31912, 21992,24232, 22000,28328,
11909    22008,32424, 22064,24808, 22072,28904, 22128,25320, 22136,29416,
11910    22192,25832, 22200,29928, 22256,26344, 22264,30440, 22312,22760,
11911    22320,26856, 22328,30952, 22376,23272, 22384,27368, 22392,31464,
11912    22440,23784, 22448,27880, 22456,31976, 22504,24296, 22512,28392,
11913    22520,32488, 22576,24872, 22584,28968, 22640,25384, 22648,29480,
11914    22704,25896, 22712,29992, 22768,26408, 22776,30504, 22832,26920,
11915    22840,31016, 22888,23336, 22896,27432, 22904,31528, 22952,23848,
11916    22960,27944, 22968,32040, 23016,24360, 23024,28456, 23032,32552,
11917    23088,24936, 23096,29032, 23152,25448, 23160,29544, 23216,25960,
11918    23224,30056, 23280,26472, 23288,30568, 23344,26984, 23352,31080,
11919    23408,27496, 23416,31592, 23464,23912, 23472,28008, 23480,32104,
11920    23528,24424, 23536,28520, 23544,32616, 23600,25000, 23608,29096,
11921    23664,25512, 23672,29608, 23728,26024, 23736,30120, 23792,26536,
11922    23800,30632, 23856,27048, 23864,31144, 23920,27560, 23928,31656,
11923    23984,28072, 23992,32168, 24040,24488, 24048,28584, 24056,32680,
11924    24112,25064, 24120,29160, 24176,25576, 24184,29672, 24240,26088,
11925    24248,30184, 24304,26600, 24312,30696, 24368,27112, 24376,31208,
11926    24432,27624, 24440,31720, 24496,28136, 24504,32232, 24560,28648,
11927    24568,32744, 24632,28720, 24688,25136, 24696,29232, 24752,25648,
11928    24760,29744, 24816,26160, 24824,30256, 24880,26672, 24888,30768,
11929    24944,27184, 24952,31280, 25008,27696, 25016,31792, 25072,28208,
11930    25080,32304, 25144,28784, 25208,29296, 25264,25712, 25272,29808,
11931    25328,26224, 25336,30320, 25392,26736, 25400,30832, 25456,27248,
11932    25464,31344, 25520,27760, 25528,31856, 25584,28272, 25592,32368,
11933    25656,28848, 25720,29360, 25784,29872, 25840,26288, 25848,30384,
11934    25904,26800, 25912,30896, 25968,27312, 25976,31408, 26032,27824,
11935    26040,31920, 26096,28336, 26104,32432, 26168,28912, 26232,29424,
11936    26296,29936, 26360,30448, 26416,26864, 26424,30960, 26480,27376,
11937    26488,31472, 26544,27888, 26552,31984, 26608,28400, 26616,32496,
11938    26680,28976, 26744,29488, 26808,30000, 26872,30512, 26936,31024,
11939    26992,27440, 27000,31536, 27056,27952, 27064,32048, 27120,28464,
11940    27128,32560, 27192,29040, 27256,29552, 27320,30064, 27384,30576,
11941    27448,31088, 27512,31600, 27568,28016, 27576,32112, 27632,28528,
11942    27640,32624, 27704,29104, 27768,29616, 27832,30128, 27896,30640,
11943    27960,31152, 28024,31664, 28088,32176, 28144,28592, 28152,32688,
11944    28216,29168, 28280,29680, 28344,30192, 28408,30704, 28472,31216,
11945    28536,31728, 28600,32240, 28664,32752, 28792,29240, 28856,29752,
11946    28920,30264, 28984,30776, 29048,31288, 29112,31800, 29176,32312,
11947    29368,29816, 29432,30328, 29496,30840, 29560,31352, 29624,31864,
11948    29688,32376, 29944,30392, 30008,30904, 30072,31416, 30136,31928,
11949    30200,32440, 30520,30968, 30584,31480, 30648,31992, 30712,32504,
11950    31096,31544, 31160,32056, 31224,32568, 31672,32120, 31736,32632,
11951    32248,32696
11952 };
11953
11954
11955 /**
11956 * \par
11957 * Example code for Floating-point RFFT Twiddle factors Generation:
11958 * \par
11959 * <pre>TW = exp(2*pi*i*[0:L/2-1]/L - pi/2*i).' </pre>
11960 * \par
11961 * Real and Imag values are in interleaved fashion
11962 */
11963 const float32_t twiddleCoef_rfft_32[32] = {
11964 0.0f                    ,       1.0f                    ,
11965 0.195090322f    ,       0.98078528f     ,
11966 0.382683432f    ,       0.923879533f    ,
11967 0.555570233f    ,       0.831469612f    ,
11968 0.707106781f    ,       0.707106781f    ,
11969 0.831469612f    ,       0.555570233f    ,
11970 0.923879533f    ,       0.382683432f    ,
11971 0.98078528f             ,       0.195090322f    ,
11972 1.0f                    ,       0.0f                    ,
11973 0.98078528f             ,       -0.195090322f   ,
11974 0.923879533f    ,       -0.382683432f   ,
11975 0.831469612f    ,       -0.555570233f   ,
11976 0.707106781f    ,       -0.707106781f   ,
11977 0.555570233f    ,       -0.831469612f   ,
11978 0.382683432f    ,       -0.923879533f   ,
11979 0.195090322f    ,       -0.98078528f
11980 };
11981
11982 const float32_t twiddleCoef_rfft_64[64] = {
11983 0.0f,   1.0f,
11984 0.098017140329561f,     0.995184726672197f,
11985 0.195090322016128f,     0.98078528040323f,
11986 0.290284677254462f,     0.956940335732209f,
11987 0.38268343236509f,      0.923879532511287f,
11988 0.471396736825998f,     0.881921264348355f,
11989 0.555570233019602f,     0.831469612302545f,
11990 0.634393284163645f,     0.773010453362737f,
11991 0.707106781186547f,     0.707106781186548f,
11992 0.773010453362737f,     0.634393284163645f,
11993 0.831469612302545f,     0.555570233019602f,
11994 0.881921264348355f,     0.471396736825998f,
11995 0.923879532511287f,     0.38268343236509f,
11996 0.956940335732209f,     0.290284677254462f,
11997 0.98078528040323f,      0.195090322016128f,
11998 0.995184726672197f,     0.098017140329561f,
11999 1.0f,   0.0f,
12000 0.995184726672197f,     -0.098017140329561f,
12001 0.98078528040323f,      -0.195090322016128f,
12002 0.956940335732209f,     -0.290284677254462f,
12003 0.923879532511287f,     -0.38268343236509f,
12004 0.881921264348355f,     -0.471396736825998f,
12005 0.831469612302545f,     -0.555570233019602f,
12006 0.773010453362737f,     -0.634393284163645f,
12007 0.707106781186548f,     -0.707106781186547f,
12008 0.634393284163645f,     -0.773010453362737f,
12009 0.555570233019602f,     -0.831469612302545f,
12010 0.471396736825998f,     -0.881921264348355f,
12011 0.38268343236509f,      -0.923879532511287f,
12012 0.290284677254462f,     -0.956940335732209f,
12013 0.195090322016129f,     -0.98078528040323f,
12014 0.098017140329561f,     -0.995184726672197f
12015 };
12016
12017 const float32_t twiddleCoef_rfft_128[128] = {
12018     0.000000000f,  1.000000000f,
12019     0.049067674f,  0.998795456f,
12020     0.098017140f,  0.995184727f,
12021     0.146730474f,  0.989176510f,
12022     0.195090322f,  0.980785280f,
12023     0.242980180f,  0.970031253f,
12024     0.290284677f,  0.956940336f,
12025     0.336889853f,  0.941544065f,
12026     0.382683432f,  0.923879533f,
12027     0.427555093f,  0.903989293f,
12028     0.471396737f,  0.881921264f,
12029     0.514102744f,  0.857728610f,
12030     0.555570233f,  0.831469612f,
12031     0.595699304f,  0.803207531f,
12032     0.634393284f,  0.773010453f,
12033     0.671558955f,  0.740951125f,
12034     0.707106781f,  0.707106781f,
12035     0.740951125f,  0.671558955f,
12036     0.773010453f,  0.634393284f,
12037     0.803207531f,  0.595699304f,
12038     0.831469612f,  0.555570233f,
12039     0.857728610f,  0.514102744f,
12040     0.881921264f,  0.471396737f,
12041     0.903989293f,  0.427555093f,
12042     0.923879533f,  0.382683432f,
12043     0.941544065f,  0.336889853f,
12044     0.956940336f,  0.290284677f,
12045     0.970031253f,  0.242980180f,
12046     0.980785280f,  0.195090322f,
12047     0.989176510f,  0.146730474f,
12048     0.995184727f,  0.098017140f,
12049     0.998795456f,  0.049067674f,
12050     1.000000000f,  0.000000000f,
12051     0.998795456f, -0.049067674f,
12052     0.995184727f, -0.098017140f,
12053     0.989176510f, -0.146730474f,
12054     0.980785280f, -0.195090322f,
12055     0.970031253f, -0.242980180f,
12056     0.956940336f, -0.290284677f,
12057     0.941544065f, -0.336889853f,
12058     0.923879533f, -0.382683432f,
12059     0.903989293f, -0.427555093f,
12060     0.881921264f, -0.471396737f,
12061     0.857728610f, -0.514102744f,
12062     0.831469612f, -0.555570233f,
12063     0.803207531f, -0.595699304f,
12064     0.773010453f, -0.634393284f,
12065     0.740951125f, -0.671558955f,
12066     0.707106781f, -0.707106781f,
12067     0.671558955f, -0.740951125f,
12068     0.634393284f, -0.773010453f,
12069     0.595699304f, -0.803207531f,
12070     0.555570233f, -0.831469612f,
12071     0.514102744f, -0.857728610f,
12072     0.471396737f, -0.881921264f,
12073     0.427555093f, -0.903989293f,
12074     0.382683432f, -0.923879533f,
12075     0.336889853f, -0.941544065f,
12076     0.290284677f, -0.956940336f,
12077     0.242980180f, -0.970031253f,
12078     0.195090322f, -0.980785280f,
12079     0.146730474f, -0.989176510f,
12080     0.098017140f, -0.995184727f,
12081     0.049067674f, -0.998795456f
12082 };
12083
12084 const float32_t twiddleCoef_rfft_256[256] = {
12085     0.000000000f,  1.000000000f,
12086     0.024541229f,  0.999698819f,
12087     0.049067674f,  0.998795456f,
12088     0.073564564f,  0.997290457f,
12089     0.098017140f,  0.995184727f,
12090     0.122410675f,  0.992479535f,
12091     0.146730474f,  0.989176510f,
12092     0.170961889f,  0.985277642f,
12093     0.195090322f,  0.980785280f,
12094     0.219101240f,  0.975702130f,
12095     0.242980180f,  0.970031253f,
12096     0.266712757f,  0.963776066f,
12097     0.290284677f,  0.956940336f,
12098     0.313681740f,  0.949528181f,
12099     0.336889853f,  0.941544065f,
12100     0.359895037f,  0.932992799f,
12101     0.382683432f,  0.923879533f,
12102     0.405241314f,  0.914209756f,
12103     0.427555093f,  0.903989293f,
12104     0.449611330f,  0.893224301f,
12105     0.471396737f,  0.881921264f,
12106     0.492898192f,  0.870086991f,
12107     0.514102744f,  0.857728610f,
12108     0.534997620f,  0.844853565f,
12109     0.555570233f,  0.831469612f,
12110     0.575808191f,  0.817584813f,
12111     0.595699304f,  0.803207531f,
12112     0.615231591f,  0.788346428f,
12113     0.634393284f,  0.773010453f,
12114     0.653172843f,  0.757208847f,
12115     0.671558955f,  0.740951125f,
12116     0.689540545f,  0.724247083f,
12117     0.707106781f,  0.707106781f,
12118     0.724247083f,  0.689540545f,
12119     0.740951125f,  0.671558955f,
12120     0.757208847f,  0.653172843f,
12121     0.773010453f,  0.634393284f,
12122     0.788346428f,  0.615231591f,
12123     0.803207531f,  0.595699304f,
12124     0.817584813f,  0.575808191f,
12125     0.831469612f,  0.555570233f,
12126     0.844853565f,  0.534997620f,
12127     0.857728610f,  0.514102744f,
12128     0.870086991f,  0.492898192f,
12129     0.881921264f,  0.471396737f,
12130     0.893224301f,  0.449611330f,
12131     0.903989293f,  0.427555093f,
12132     0.914209756f,  0.405241314f,
12133     0.923879533f,  0.382683432f,
12134     0.932992799f,  0.359895037f,
12135     0.941544065f,  0.336889853f,
12136     0.949528181f,  0.313681740f,
12137     0.956940336f,  0.290284677f,
12138     0.963776066f,  0.266712757f,
12139     0.970031253f,  0.242980180f,
12140     0.975702130f,  0.219101240f,
12141     0.980785280f,  0.195090322f,
12142     0.985277642f,  0.170961889f,
12143     0.989176510f,  0.146730474f,
12144     0.992479535f,  0.122410675f,
12145     0.995184727f,  0.098017140f,
12146     0.997290457f,  0.073564564f,
12147     0.998795456f,  0.049067674f,
12148     0.999698819f,  0.024541229f,
12149     1.000000000f,  0.000000000f,
12150     0.999698819f, -0.024541229f,
12151     0.998795456f, -0.049067674f,
12152     0.997290457f, -0.073564564f,
12153     0.995184727f, -0.098017140f,
12154     0.992479535f, -0.122410675f,
12155     0.989176510f, -0.146730474f,
12156     0.985277642f, -0.170961889f,
12157     0.980785280f, -0.195090322f,
12158     0.975702130f, -0.219101240f,
12159     0.970031253f, -0.242980180f,
12160     0.963776066f, -0.266712757f,
12161     0.956940336f, -0.290284677f,
12162     0.949528181f, -0.313681740f,
12163     0.941544065f, -0.336889853f,
12164     0.932992799f, -0.359895037f,
12165     0.923879533f, -0.382683432f,
12166     0.914209756f, -0.405241314f,
12167     0.903989293f, -0.427555093f,
12168     0.893224301f, -0.449611330f,
12169     0.881921264f, -0.471396737f,
12170     0.870086991f, -0.492898192f,
12171     0.857728610f, -0.514102744f,
12172     0.844853565f, -0.534997620f,
12173     0.831469612f, -0.555570233f,
12174     0.817584813f, -0.575808191f,
12175     0.803207531f, -0.595699304f,
12176     0.788346428f, -0.615231591f,
12177     0.773010453f, -0.634393284f,
12178     0.757208847f, -0.653172843f,
12179     0.740951125f, -0.671558955f,
12180     0.724247083f, -0.689540545f,
12181     0.707106781f, -0.707106781f,
12182     0.689540545f, -0.724247083f,
12183     0.671558955f, -0.740951125f,
12184     0.653172843f, -0.757208847f,
12185     0.634393284f, -0.773010453f,
12186     0.615231591f, -0.788346428f,
12187     0.595699304f, -0.803207531f,
12188     0.575808191f, -0.817584813f,
12189     0.555570233f, -0.831469612f,
12190     0.534997620f, -0.844853565f,
12191     0.514102744f, -0.857728610f,
12192     0.492898192f, -0.870086991f,
12193     0.471396737f, -0.881921264f,
12194     0.449611330f, -0.893224301f,
12195     0.427555093f, -0.903989293f,
12196     0.405241314f, -0.914209756f,
12197     0.382683432f, -0.923879533f,
12198     0.359895037f, -0.932992799f,
12199     0.336889853f, -0.941544065f,
12200     0.313681740f, -0.949528181f,
12201     0.290284677f, -0.956940336f,
12202     0.266712757f, -0.963776066f,
12203     0.242980180f, -0.970031253f,
12204     0.219101240f, -0.975702130f,
12205     0.195090322f, -0.980785280f,
12206     0.170961889f, -0.985277642f,
12207     0.146730474f, -0.989176510f,
12208     0.122410675f, -0.992479535f,
12209     0.098017140f, -0.995184727f,
12210     0.073564564f, -0.997290457f,
12211     0.049067674f, -0.998795456f,
12212     0.024541229f, -0.999698819f
12213 };
12214
12215 const float32_t twiddleCoef_rfft_512[512] = {
12216     0.000000000f,  1.000000000f,
12217     0.012271538f,  0.999924702f,
12218     0.024541229f,  0.999698819f,
12219     0.036807223f,  0.999322385f,
12220     0.049067674f,  0.998795456f,
12221     0.061320736f,  0.998118113f,
12222     0.073564564f,  0.997290457f,
12223     0.085797312f,  0.996312612f,
12224     0.098017140f,  0.995184727f,
12225     0.110222207f,  0.993906970f,
12226     0.122410675f,  0.992479535f,
12227     0.134580709f,  0.990902635f,
12228     0.146730474f,  0.989176510f,
12229     0.158858143f,  0.987301418f,
12230     0.170961889f,  0.985277642f,
12231     0.183039888f,  0.983105487f,
12232     0.195090322f,  0.980785280f,
12233     0.207111376f,  0.978317371f,
12234     0.219101240f,  0.975702130f,
12235     0.231058108f,  0.972939952f,
12236     0.242980180f,  0.970031253f,
12237     0.254865660f,  0.966976471f,
12238     0.266712757f,  0.963776066f,
12239     0.278519689f,  0.960430519f,
12240     0.290284677f,  0.956940336f,
12241     0.302005949f,  0.953306040f,
12242     0.313681740f,  0.949528181f,
12243     0.325310292f,  0.945607325f,
12244     0.336889853f,  0.941544065f,
12245     0.348418680f,  0.937339012f,
12246     0.359895037f,  0.932992799f,
12247     0.371317194f,  0.928506080f,
12248     0.382683432f,  0.923879533f,
12249     0.393992040f,  0.919113852f,
12250     0.405241314f,  0.914209756f,
12251     0.416429560f,  0.909167983f,
12252     0.427555093f,  0.903989293f,
12253     0.438616239f,  0.898674466f,
12254     0.449611330f,  0.893224301f,
12255     0.460538711f,  0.887639620f,
12256     0.471396737f,  0.881921264f,
12257     0.482183772f,  0.876070094f,
12258     0.492898192f,  0.870086991f,
12259     0.503538384f,  0.863972856f,
12260     0.514102744f,  0.857728610f,
12261     0.524589683f,  0.851355193f,
12262     0.534997620f,  0.844853565f,
12263     0.545324988f,  0.838224706f,
12264     0.555570233f,  0.831469612f,
12265     0.565731811f,  0.824589303f,
12266     0.575808191f,  0.817584813f,
12267     0.585797857f,  0.810457198f,
12268     0.595699304f,  0.803207531f,
12269     0.605511041f,  0.795836905f,
12270     0.615231591f,  0.788346428f,
12271     0.624859488f,  0.780737229f,
12272     0.634393284f,  0.773010453f,
12273     0.643831543f,  0.765167266f,
12274     0.653172843f,  0.757208847f,
12275     0.662415778f,  0.749136395f,
12276     0.671558955f,  0.740951125f,
12277     0.680600998f,  0.732654272f,
12278     0.689540545f,  0.724247083f,
12279     0.698376249f,  0.715730825f,
12280     0.707106781f,  0.707106781f,
12281     0.715730825f,  0.698376249f,
12282     0.724247083f,  0.689540545f,
12283     0.732654272f,  0.680600998f,
12284     0.740951125f,  0.671558955f,
12285     0.749136395f,  0.662415778f,
12286     0.757208847f,  0.653172843f,
12287     0.765167266f,  0.643831543f,
12288     0.773010453f,  0.634393284f,
12289     0.780737229f,  0.624859488f,
12290     0.788346428f,  0.615231591f,
12291     0.795836905f,  0.605511041f,
12292     0.803207531f,  0.595699304f,
12293     0.810457198f,  0.585797857f,
12294     0.817584813f,  0.575808191f,
12295     0.824589303f,  0.565731811f,
12296     0.831469612f,  0.555570233f,
12297     0.838224706f,  0.545324988f,
12298     0.844853565f,  0.534997620f,
12299     0.851355193f,  0.524589683f,
12300     0.857728610f,  0.514102744f,
12301     0.863972856f,  0.503538384f,
12302     0.870086991f,  0.492898192f,
12303     0.876070094f,  0.482183772f,
12304     0.881921264f,  0.471396737f,
12305     0.887639620f,  0.460538711f,
12306     0.893224301f,  0.449611330f,
12307     0.898674466f,  0.438616239f,
12308     0.903989293f,  0.427555093f,
12309     0.909167983f,  0.416429560f,
12310     0.914209756f,  0.405241314f,
12311     0.919113852f,  0.393992040f,
12312     0.923879533f,  0.382683432f,
12313     0.928506080f,  0.371317194f,
12314     0.932992799f,  0.359895037f,
12315     0.937339012f,  0.348418680f,
12316     0.941544065f,  0.336889853f,
12317     0.945607325f,  0.325310292f,
12318     0.949528181f,  0.313681740f,
12319     0.953306040f,  0.302005949f,
12320     0.956940336f,  0.290284677f,
12321     0.960430519f,  0.278519689f,
12322     0.963776066f,  0.266712757f,
12323     0.966976471f,  0.254865660f,
12324     0.970031253f,  0.242980180f,
12325     0.972939952f,  0.231058108f,
12326     0.975702130f,  0.219101240f,
12327     0.978317371f,  0.207111376f,
12328     0.980785280f,  0.195090322f,
12329     0.983105487f,  0.183039888f,
12330     0.985277642f,  0.170961889f,
12331     0.987301418f,  0.158858143f,
12332     0.989176510f,  0.146730474f,
12333     0.990902635f,  0.134580709f,
12334     0.992479535f,  0.122410675f,
12335     0.993906970f,  0.110222207f,
12336     0.995184727f,  0.098017140f,
12337     0.996312612f,  0.085797312f,
12338     0.997290457f,  0.073564564f,
12339     0.998118113f,  0.061320736f,
12340     0.998795456f,  0.049067674f,
12341     0.999322385f,  0.036807223f,
12342     0.999698819f,  0.024541229f,
12343     0.999924702f,  0.012271538f,
12344     1.000000000f,  0.000000000f,
12345     0.999924702f, -0.012271538f,
12346     0.999698819f, -0.024541229f,
12347     0.999322385f, -0.036807223f,
12348     0.998795456f, -0.049067674f,
12349     0.998118113f, -0.061320736f,
12350     0.997290457f, -0.073564564f,
12351     0.996312612f, -0.085797312f,
12352     0.995184727f, -0.098017140f,
12353     0.993906970f, -0.110222207f,
12354     0.992479535f, -0.122410675f,
12355     0.990902635f, -0.134580709f,
12356     0.989176510f, -0.146730474f,
12357     0.987301418f, -0.158858143f,
12358     0.985277642f, -0.170961889f,
12359     0.983105487f, -0.183039888f,
12360     0.980785280f, -0.195090322f,
12361     0.978317371f, -0.207111376f,
12362     0.975702130f, -0.219101240f,
12363     0.972939952f, -0.231058108f,
12364     0.970031253f, -0.242980180f,
12365     0.966976471f, -0.254865660f,
12366     0.963776066f, -0.266712757f,
12367     0.960430519f, -0.278519689f,
12368     0.956940336f, -0.290284677f,
12369     0.953306040f, -0.302005949f,
12370     0.949528181f, -0.313681740f,
12371     0.945607325f, -0.325310292f,
12372     0.941544065f, -0.336889853f,
12373     0.937339012f, -0.348418680f,
12374     0.932992799f, -0.359895037f,
12375     0.928506080f, -0.371317194f,
12376     0.923879533f, -0.382683432f,
12377     0.919113852f, -0.393992040f,
12378     0.914209756f, -0.405241314f,
12379     0.909167983f, -0.416429560f,
12380     0.903989293f, -0.427555093f,
12381     0.898674466f, -0.438616239f,
12382     0.893224301f, -0.449611330f,
12383     0.887639620f, -0.460538711f,
12384     0.881921264f, -0.471396737f,
12385     0.876070094f, -0.482183772f,
12386     0.870086991f, -0.492898192f,
12387     0.863972856f, -0.503538384f,
12388     0.857728610f, -0.514102744f,
12389     0.851355193f, -0.524589683f,
12390     0.844853565f, -0.534997620f,
12391     0.838224706f, -0.545324988f,
12392     0.831469612f, -0.555570233f,
12393     0.824589303f, -0.565731811f,
12394     0.817584813f, -0.575808191f,
12395     0.810457198f, -0.585797857f,
12396     0.803207531f, -0.595699304f,
12397     0.795836905f, -0.605511041f,
12398     0.788346428f, -0.615231591f,
12399     0.780737229f, -0.624859488f,
12400     0.773010453f, -0.634393284f,
12401     0.765167266f, -0.643831543f,
12402     0.757208847f, -0.653172843f,
12403     0.749136395f, -0.662415778f,
12404     0.740951125f, -0.671558955f,
12405     0.732654272f, -0.680600998f,
12406     0.724247083f, -0.689540545f,
12407     0.715730825f, -0.698376249f,
12408     0.707106781f, -0.707106781f,
12409     0.698376249f, -0.715730825f,
12410     0.689540545f, -0.724247083f,
12411     0.680600998f, -0.732654272f,
12412     0.671558955f, -0.740951125f,
12413     0.662415778f, -0.749136395f,
12414     0.653172843f, -0.757208847f,
12415     0.643831543f, -0.765167266f,
12416     0.634393284f, -0.773010453f,
12417     0.624859488f, -0.780737229f,
12418     0.615231591f, -0.788346428f,
12419     0.605511041f, -0.795836905f,
12420     0.595699304f, -0.803207531f,
12421     0.585797857f, -0.810457198f,
12422     0.575808191f, -0.817584813f,
12423     0.565731811f, -0.824589303f,
12424     0.555570233f, -0.831469612f,
12425     0.545324988f, -0.838224706f,
12426     0.534997620f, -0.844853565f,
12427     0.524589683f, -0.851355193f,
12428     0.514102744f, -0.857728610f,
12429     0.503538384f, -0.863972856f,
12430     0.492898192f, -0.870086991f,
12431     0.482183772f, -0.876070094f,
12432     0.471396737f, -0.881921264f,
12433     0.460538711f, -0.887639620f,
12434     0.449611330f, -0.893224301f,
12435     0.438616239f, -0.898674466f,
12436     0.427555093f, -0.903989293f,
12437     0.416429560f, -0.909167983f,
12438     0.405241314f, -0.914209756f,
12439     0.393992040f, -0.919113852f,
12440     0.382683432f, -0.923879533f,
12441     0.371317194f, -0.928506080f,
12442     0.359895037f, -0.932992799f,
12443     0.348418680f, -0.937339012f,
12444     0.336889853f, -0.941544065f,
12445     0.325310292f, -0.945607325f,
12446     0.313681740f, -0.949528181f,
12447     0.302005949f, -0.953306040f,
12448     0.290284677f, -0.956940336f,
12449     0.278519689f, -0.960430519f,
12450     0.266712757f, -0.963776066f,
12451     0.254865660f, -0.966976471f,
12452     0.242980180f, -0.970031253f,
12453     0.231058108f, -0.972939952f,
12454     0.219101240f, -0.975702130f,
12455     0.207111376f, -0.978317371f,
12456     0.195090322f, -0.980785280f,
12457     0.183039888f, -0.983105487f,
12458     0.170961889f, -0.985277642f,
12459     0.158858143f, -0.987301418f,
12460     0.146730474f, -0.989176510f,
12461     0.134580709f, -0.990902635f,
12462     0.122410675f, -0.992479535f,
12463     0.110222207f, -0.993906970f,
12464     0.098017140f, -0.995184727f,
12465     0.085797312f, -0.996312612f,
12466     0.073564564f, -0.997290457f,
12467     0.061320736f, -0.998118113f,
12468     0.049067674f, -0.998795456f,
12469     0.036807223f, -0.999322385f,
12470     0.024541229f, -0.999698819f,
12471     0.012271538f, -0.999924702f
12472 };
12473
12474 const float32_t twiddleCoef_rfft_1024[1024] = {
12475     0.000000000f,  1.000000000f,
12476     0.006135885f,  0.999981175f,
12477     0.012271538f,  0.999924702f,
12478     0.018406730f,  0.999830582f,
12479     0.024541229f,  0.999698819f,
12480     0.030674803f,  0.999529418f,
12481     0.036807223f,  0.999322385f,
12482     0.042938257f,  0.999077728f,
12483     0.049067674f,  0.998795456f,
12484     0.055195244f,  0.998475581f,
12485     0.061320736f,  0.998118113f,
12486     0.067443920f,  0.997723067f,
12487     0.073564564f,  0.997290457f,
12488     0.079682438f,  0.996820299f,
12489     0.085797312f,  0.996312612f,
12490     0.091908956f,  0.995767414f,
12491     0.098017140f,  0.995184727f,
12492     0.104121634f,  0.994564571f,
12493     0.110222207f,  0.993906970f,
12494     0.116318631f,  0.993211949f,
12495     0.122410675f,  0.992479535f,
12496     0.128498111f,  0.991709754f,
12497     0.134580709f,  0.990902635f,
12498     0.140658239f,  0.990058210f,
12499     0.146730474f,  0.989176510f,
12500     0.152797185f,  0.988257568f,
12501     0.158858143f,  0.987301418f,
12502     0.164913120f,  0.986308097f,
12503     0.170961889f,  0.985277642f,
12504     0.177004220f,  0.984210092f,
12505     0.183039888f,  0.983105487f,
12506     0.189068664f,  0.981963869f,
12507     0.195090322f,  0.980785280f,
12508     0.201104635f,  0.979569766f,
12509     0.207111376f,  0.978317371f,
12510     0.213110320f,  0.977028143f,
12511     0.219101240f,  0.975702130f,
12512     0.225083911f,  0.974339383f,
12513     0.231058108f,  0.972939952f,
12514     0.237023606f,  0.971503891f,
12515     0.242980180f,  0.970031253f,
12516     0.248927606f,  0.968522094f,
12517     0.254865660f,  0.966976471f,
12518     0.260794118f,  0.965394442f,
12519     0.266712757f,  0.963776066f,
12520     0.272621355f,  0.962121404f,
12521     0.278519689f,  0.960430519f,
12522     0.284407537f,  0.958703475f,
12523     0.290284677f,  0.956940336f,
12524     0.296150888f,  0.955141168f,
12525     0.302005949f,  0.953306040f,
12526     0.307849640f,  0.951435021f,
12527     0.313681740f,  0.949528181f,
12528     0.319502031f,  0.947585591f,
12529     0.325310292f,  0.945607325f,
12530     0.331106306f,  0.943593458f,
12531     0.336889853f,  0.941544065f,
12532     0.342660717f,  0.939459224f,
12533     0.348418680f,  0.937339012f,
12534     0.354163525f,  0.935183510f,
12535     0.359895037f,  0.932992799f,
12536     0.365612998f,  0.930766961f,
12537     0.371317194f,  0.928506080f,
12538     0.377007410f,  0.926210242f,
12539     0.382683432f,  0.923879533f,
12540     0.388345047f,  0.921514039f,
12541     0.393992040f,  0.919113852f,
12542     0.399624200f,  0.916679060f,
12543     0.405241314f,  0.914209756f,
12544     0.410843171f,  0.911706032f,
12545     0.416429560f,  0.909167983f,
12546     0.422000271f,  0.906595705f,
12547     0.427555093f,  0.903989293f,
12548     0.433093819f,  0.901348847f,
12549     0.438616239f,  0.898674466f,
12550     0.444122145f,  0.895966250f,
12551     0.449611330f,  0.893224301f,
12552     0.455083587f,  0.890448723f,
12553     0.460538711f,  0.887639620f,
12554     0.465976496f,  0.884797098f,
12555     0.471396737f,  0.881921264f,
12556     0.476799230f,  0.879012226f,
12557     0.482183772f,  0.876070094f,
12558     0.487550160f,  0.873094978f,
12559     0.492898192f,  0.870086991f,
12560     0.498227667f,  0.867046246f,
12561     0.503538384f,  0.863972856f,
12562     0.508830143f,  0.860866939f,
12563     0.514102744f,  0.857728610f,
12564     0.519355990f,  0.854557988f,
12565     0.524589683f,  0.851355193f,
12566     0.529803625f,  0.848120345f,
12567     0.534997620f,  0.844853565f,
12568     0.540171473f,  0.841554977f,
12569     0.545324988f,  0.838224706f,
12570     0.550457973f,  0.834862875f,
12571     0.555570233f,  0.831469612f,
12572     0.560661576f,  0.828045045f,
12573     0.565731811f,  0.824589303f,
12574     0.570780746f,  0.821102515f,
12575     0.575808191f,  0.817584813f,
12576     0.580813958f,  0.814036330f,
12577     0.585797857f,  0.810457198f,
12578     0.590759702f,  0.806847554f,
12579     0.595699304f,  0.803207531f,
12580     0.600616479f,  0.799537269f,
12581     0.605511041f,  0.795836905f,
12582     0.610382806f,  0.792106577f,
12583     0.615231591f,  0.788346428f,
12584     0.620057212f,  0.784556597f,
12585     0.624859488f,  0.780737229f,
12586     0.629638239f,  0.776888466f,
12587     0.634393284f,  0.773010453f,
12588     0.639124445f,  0.769103338f,
12589     0.643831543f,  0.765167266f,
12590     0.648514401f,  0.761202385f,
12591     0.653172843f,  0.757208847f,
12592     0.657806693f,  0.753186799f,
12593     0.662415778f,  0.749136395f,
12594     0.666999922f,  0.745057785f,
12595     0.671558955f,  0.740951125f,
12596     0.676092704f,  0.736816569f,
12597     0.680600998f,  0.732654272f,
12598     0.685083668f,  0.728464390f,
12599     0.689540545f,  0.724247083f,
12600     0.693971461f,  0.720002508f,
12601     0.698376249f,  0.715730825f,
12602     0.702754744f,  0.711432196f,
12603     0.707106781f,  0.707106781f,
12604     0.711432196f,  0.702754744f,
12605     0.715730825f,  0.698376249f,
12606     0.720002508f,  0.693971461f,
12607     0.724247083f,  0.689540545f,
12608     0.728464390f,  0.685083668f,
12609     0.732654272f,  0.680600998f,
12610     0.736816569f,  0.676092704f,
12611     0.740951125f,  0.671558955f,
12612     0.745057785f,  0.666999922f,
12613     0.749136395f,  0.662415778f,
12614     0.753186799f,  0.657806693f,
12615     0.757208847f,  0.653172843f,
12616     0.761202385f,  0.648514401f,
12617     0.765167266f,  0.643831543f,
12618     0.769103338f,  0.639124445f,
12619     0.773010453f,  0.634393284f,
12620     0.776888466f,  0.629638239f,
12621     0.780737229f,  0.624859488f,
12622     0.784556597f,  0.620057212f,
12623     0.788346428f,  0.615231591f,
12624     0.792106577f,  0.610382806f,
12625     0.795836905f,  0.605511041f,
12626     0.799537269f,  0.600616479f,
12627     0.803207531f,  0.595699304f,
12628     0.806847554f,  0.590759702f,
12629     0.810457198f,  0.585797857f,
12630     0.814036330f,  0.580813958f,
12631     0.817584813f,  0.575808191f,
12632     0.821102515f,  0.570780746f,
12633     0.824589303f,  0.565731811f,
12634     0.828045045f,  0.560661576f,
12635     0.831469612f,  0.555570233f,
12636     0.834862875f,  0.550457973f,
12637     0.838224706f,  0.545324988f,
12638     0.841554977f,  0.540171473f,
12639     0.844853565f,  0.534997620f,
12640     0.848120345f,  0.529803625f,
12641     0.851355193f,  0.524589683f,
12642     0.854557988f,  0.519355990f,
12643     0.857728610f,  0.514102744f,
12644     0.860866939f,  0.508830143f,
12645     0.863972856f,  0.503538384f,
12646     0.867046246f,  0.498227667f,
12647     0.870086991f,  0.492898192f,
12648     0.873094978f,  0.487550160f,
12649     0.876070094f,  0.482183772f,
12650     0.879012226f,  0.476799230f,
12651     0.881921264f,  0.471396737f,
12652     0.884797098f,  0.465976496f,
12653     0.887639620f,  0.460538711f,
12654     0.890448723f,  0.455083587f,
12655     0.893224301f,  0.449611330f,
12656     0.895966250f,  0.444122145f,
12657     0.898674466f,  0.438616239f,
12658     0.901348847f,  0.433093819f,
12659     0.903989293f,  0.427555093f,
12660     0.906595705f,  0.422000271f,
12661     0.909167983f,  0.416429560f,
12662     0.911706032f,  0.410843171f,
12663     0.914209756f,  0.405241314f,
12664     0.916679060f,  0.399624200f,
12665     0.919113852f,  0.393992040f,
12666     0.921514039f,  0.388345047f,
12667     0.923879533f,  0.382683432f,
12668     0.926210242f,  0.377007410f,
12669     0.928506080f,  0.371317194f,
12670     0.930766961f,  0.365612998f,
12671     0.932992799f,  0.359895037f,
12672     0.935183510f,  0.354163525f,
12673     0.937339012f,  0.348418680f,
12674     0.939459224f,  0.342660717f,
12675     0.941544065f,  0.336889853f,
12676     0.943593458f,  0.331106306f,
12677     0.945607325f,  0.325310292f,
12678     0.947585591f,  0.319502031f,
12679     0.949528181f,  0.313681740f,
12680     0.951435021f,  0.307849640f,
12681     0.953306040f,  0.302005949f,
12682     0.955141168f,  0.296150888f,
12683     0.956940336f,  0.290284677f,
12684     0.958703475f,  0.284407537f,
12685     0.960430519f,  0.278519689f,
12686     0.962121404f,  0.272621355f,
12687     0.963776066f,  0.266712757f,
12688     0.965394442f,  0.260794118f,
12689     0.966976471f,  0.254865660f,
12690     0.968522094f,  0.248927606f,
12691     0.970031253f,  0.242980180f,
12692     0.971503891f,  0.237023606f,
12693     0.972939952f,  0.231058108f,
12694     0.974339383f,  0.225083911f,
12695     0.975702130f,  0.219101240f,
12696     0.977028143f,  0.213110320f,
12697     0.978317371f,  0.207111376f,
12698     0.979569766f,  0.201104635f,
12699     0.980785280f,  0.195090322f,
12700     0.981963869f,  0.189068664f,
12701     0.983105487f,  0.183039888f,
12702     0.984210092f,  0.177004220f,
12703     0.985277642f,  0.170961889f,
12704     0.986308097f,  0.164913120f,
12705     0.987301418f,  0.158858143f,
12706     0.988257568f,  0.152797185f,
12707     0.989176510f,  0.146730474f,
12708     0.990058210f,  0.140658239f,
12709     0.990902635f,  0.134580709f,
12710     0.991709754f,  0.128498111f,
12711     0.992479535f,  0.122410675f,
12712     0.993211949f,  0.116318631f,
12713     0.993906970f,  0.110222207f,
12714     0.994564571f,  0.104121634f,
12715     0.995184727f,  0.098017140f,
12716     0.995767414f,  0.091908956f,
12717     0.996312612f,  0.085797312f,
12718     0.996820299f,  0.079682438f,
12719     0.997290457f,  0.073564564f,
12720     0.997723067f,  0.067443920f,
12721     0.998118113f,  0.061320736f,
12722     0.998475581f,  0.055195244f,
12723     0.998795456f,  0.049067674f,
12724     0.999077728f,  0.042938257f,
12725     0.999322385f,  0.036807223f,
12726     0.999529418f,  0.030674803f,
12727     0.999698819f,  0.024541229f,
12728     0.999830582f,  0.018406730f,
12729     0.999924702f,  0.012271538f,
12730     0.999981175f,  0.006135885f,
12731     1.000000000f,  0.000000000f,
12732     0.999981175f, -0.006135885f,
12733     0.999924702f, -0.012271538f,
12734     0.999830582f, -0.018406730f,
12735     0.999698819f, -0.024541229f,
12736     0.999529418f, -0.030674803f,
12737     0.999322385f, -0.036807223f,
12738     0.999077728f, -0.042938257f,
12739     0.998795456f, -0.049067674f,
12740     0.998475581f, -0.055195244f,
12741     0.998118113f, -0.061320736f,
12742     0.997723067f, -0.067443920f,
12743     0.997290457f, -0.073564564f,
12744     0.996820299f, -0.079682438f,
12745     0.996312612f, -0.085797312f,
12746     0.995767414f, -0.091908956f,
12747     0.995184727f, -0.098017140f,
12748     0.994564571f, -0.104121634f,
12749     0.993906970f, -0.110222207f,
12750     0.993211949f, -0.116318631f,
12751     0.992479535f, -0.122410675f,
12752     0.991709754f, -0.128498111f,
12753     0.990902635f, -0.134580709f,
12754     0.990058210f, -0.140658239f,
12755     0.989176510f, -0.146730474f,
12756     0.988257568f, -0.152797185f,
12757     0.987301418f, -0.158858143f,
12758     0.986308097f, -0.164913120f,
12759     0.985277642f, -0.170961889f,
12760     0.984210092f, -0.177004220f,
12761     0.983105487f, -0.183039888f,
12762     0.981963869f, -0.189068664f,
12763     0.980785280f, -0.195090322f,
12764     0.979569766f, -0.201104635f,
12765     0.978317371f, -0.207111376f,
12766     0.977028143f, -0.213110320f,
12767     0.975702130f, -0.219101240f,
12768     0.974339383f, -0.225083911f,
12769     0.972939952f, -0.231058108f,
12770     0.971503891f, -0.237023606f,
12771     0.970031253f, -0.242980180f,
12772     0.968522094f, -0.248927606f,
12773     0.966976471f, -0.254865660f,
12774     0.965394442f, -0.260794118f,
12775     0.963776066f, -0.266712757f,
12776     0.962121404f, -0.272621355f,
12777     0.960430519f, -0.278519689f,
12778     0.958703475f, -0.284407537f,
12779     0.956940336f, -0.290284677f,
12780     0.955141168f, -0.296150888f,
12781     0.953306040f, -0.302005949f,
12782     0.951435021f, -0.307849640f,
12783     0.949528181f, -0.313681740f,
12784     0.947585591f, -0.319502031f,
12785     0.945607325f, -0.325310292f,
12786     0.943593458f, -0.331106306f,
12787     0.941544065f, -0.336889853f,
12788     0.939459224f, -0.342660717f,
12789     0.937339012f, -0.348418680f,
12790     0.935183510f, -0.354163525f,
12791     0.932992799f, -0.359895037f,
12792     0.930766961f, -0.365612998f,
12793     0.928506080f, -0.371317194f,
12794     0.926210242f, -0.377007410f,
12795     0.923879533f, -0.382683432f,
12796     0.921514039f, -0.388345047f,
12797     0.919113852f, -0.393992040f,
12798     0.916679060f, -0.399624200f,
12799     0.914209756f, -0.405241314f,
12800     0.911706032f, -0.410843171f,
12801     0.909167983f, -0.416429560f,
12802     0.906595705f, -0.422000271f,
12803     0.903989293f, -0.427555093f,
12804     0.901348847f, -0.433093819f,
12805     0.898674466f, -0.438616239f,
12806     0.895966250f, -0.444122145f,
12807     0.893224301f, -0.449611330f,
12808     0.890448723f, -0.455083587f,
12809     0.887639620f, -0.460538711f,
12810     0.884797098f, -0.465976496f,
12811     0.881921264f, -0.471396737f,
12812     0.879012226f, -0.476799230f,
12813     0.876070094f, -0.482183772f,
12814     0.873094978f, -0.487550160f,
12815     0.870086991f, -0.492898192f,
12816     0.867046246f, -0.498227667f,
12817     0.863972856f, -0.503538384f,
12818     0.860866939f, -0.508830143f,
12819     0.857728610f, -0.514102744f,
12820     0.854557988f, -0.519355990f,
12821     0.851355193f, -0.524589683f,
12822     0.848120345f, -0.529803625f,
12823     0.844853565f, -0.534997620f,
12824     0.841554977f, -0.540171473f,
12825     0.838224706f, -0.545324988f,
12826     0.834862875f, -0.550457973f,
12827     0.831469612f, -0.555570233f,
12828     0.828045045f, -0.560661576f,
12829     0.824589303f, -0.565731811f,
12830     0.821102515f, -0.570780746f,
12831     0.817584813f, -0.575808191f,
12832     0.814036330f, -0.580813958f,
12833     0.810457198f, -0.585797857f,
12834     0.806847554f, -0.590759702f,
12835     0.803207531f, -0.595699304f,
12836     0.799537269f, -0.600616479f,
12837     0.795836905f, -0.605511041f,
12838     0.792106577f, -0.610382806f,
12839     0.788346428f, -0.615231591f,
12840     0.784556597f, -0.620057212f,
12841     0.780737229f, -0.624859488f,
12842     0.776888466f, -0.629638239f,
12843     0.773010453f, -0.634393284f,
12844     0.769103338f, -0.639124445f,
12845     0.765167266f, -0.643831543f,
12846     0.761202385f, -0.648514401f,
12847     0.757208847f, -0.653172843f,
12848     0.753186799f, -0.657806693f,
12849     0.749136395f, -0.662415778f,
12850     0.745057785f, -0.666999922f,
12851     0.740951125f, -0.671558955f,
12852     0.736816569f, -0.676092704f,
12853     0.732654272f, -0.680600998f,
12854     0.728464390f, -0.685083668f,
12855     0.724247083f, -0.689540545f,
12856     0.720002508f, -0.693971461f,
12857     0.715730825f, -0.698376249f,
12858     0.711432196f, -0.702754744f,
12859     0.707106781f, -0.707106781f,
12860     0.702754744f, -0.711432196f,
12861     0.698376249f, -0.715730825f,
12862     0.693971461f, -0.720002508f,
12863     0.689540545f, -0.724247083f,
12864     0.685083668f, -0.728464390f,
12865     0.680600998f, -0.732654272f,
12866     0.676092704f, -0.736816569f,
12867     0.671558955f, -0.740951125f,
12868     0.666999922f, -0.745057785f,
12869     0.662415778f, -0.749136395f,
12870     0.657806693f, -0.753186799f,
12871     0.653172843f, -0.757208847f,
12872     0.648514401f, -0.761202385f,
12873     0.643831543f, -0.765167266f,
12874     0.639124445f, -0.769103338f,
12875     0.634393284f, -0.773010453f,
12876     0.629638239f, -0.776888466f,
12877     0.624859488f, -0.780737229f,
12878     0.620057212f, -0.784556597f,
12879     0.615231591f, -0.788346428f,
12880     0.610382806f, -0.792106577f,
12881     0.605511041f, -0.795836905f,
12882     0.600616479f, -0.799537269f,
12883     0.595699304f, -0.803207531f,
12884     0.590759702f, -0.806847554f,
12885     0.585797857f, -0.810457198f,
12886     0.580813958f, -0.814036330f,
12887     0.575808191f, -0.817584813f,
12888     0.570780746f, -0.821102515f,
12889     0.565731811f, -0.824589303f,
12890     0.560661576f, -0.828045045f,
12891     0.555570233f, -0.831469612f,
12892     0.550457973f, -0.834862875f,
12893     0.545324988f, -0.838224706f,
12894     0.540171473f, -0.841554977f,
12895     0.534997620f, -0.844853565f,
12896     0.529803625f, -0.848120345f,
12897     0.524589683f, -0.851355193f,
12898     0.519355990f, -0.854557988f,
12899     0.514102744f, -0.857728610f,
12900     0.508830143f, -0.860866939f,
12901     0.503538384f, -0.863972856f,
12902     0.498227667f, -0.867046246f,
12903     0.492898192f, -0.870086991f,
12904     0.487550160f, -0.873094978f,
12905     0.482183772f, -0.876070094f,
12906     0.476799230f, -0.879012226f,
12907     0.471396737f, -0.881921264f,
12908     0.465976496f, -0.884797098f,
12909     0.460538711f, -0.887639620f,
12910     0.455083587f, -0.890448723f,
12911     0.449611330f, -0.893224301f,
12912     0.444122145f, -0.895966250f,
12913     0.438616239f, -0.898674466f,
12914     0.433093819f, -0.901348847f,
12915     0.427555093f, -0.903989293f,
12916     0.422000271f, -0.906595705f,
12917     0.416429560f, -0.909167983f,
12918     0.410843171f, -0.911706032f,
12919     0.405241314f, -0.914209756f,
12920     0.399624200f, -0.916679060f,
12921     0.393992040f, -0.919113852f,
12922     0.388345047f, -0.921514039f,
12923     0.382683432f, -0.923879533f,
12924     0.377007410f, -0.926210242f,
12925     0.371317194f, -0.928506080f,
12926     0.365612998f, -0.930766961f,
12927     0.359895037f, -0.932992799f,
12928     0.354163525f, -0.935183510f,
12929     0.348418680f, -0.937339012f,
12930     0.342660717f, -0.939459224f,
12931     0.336889853f, -0.941544065f,
12932     0.331106306f, -0.943593458f,
12933     0.325310292f, -0.945607325f,
12934     0.319502031f, -0.947585591f,
12935     0.313681740f, -0.949528181f,
12936     0.307849640f, -0.951435021f,
12937     0.302005949f, -0.953306040f,
12938     0.296150888f, -0.955141168f,
12939     0.290284677f, -0.956940336f,
12940     0.284407537f, -0.958703475f,
12941     0.278519689f, -0.960430519f,
12942     0.272621355f, -0.962121404f,
12943     0.266712757f, -0.963776066f,
12944     0.260794118f, -0.965394442f,
12945     0.254865660f, -0.966976471f,
12946     0.248927606f, -0.968522094f,
12947     0.242980180f, -0.970031253f,
12948     0.237023606f, -0.971503891f,
12949     0.231058108f, -0.972939952f,
12950     0.225083911f, -0.974339383f,
12951     0.219101240f, -0.975702130f,
12952     0.213110320f, -0.977028143f,
12953     0.207111376f, -0.978317371f,
12954     0.201104635f, -0.979569766f,
12955     0.195090322f, -0.980785280f,
12956     0.189068664f, -0.981963869f,
12957     0.183039888f, -0.983105487f,
12958     0.177004220f, -0.984210092f,
12959     0.170961889f, -0.985277642f,
12960     0.164913120f, -0.986308097f,
12961     0.158858143f, -0.987301418f,
12962     0.152797185f, -0.988257568f,
12963     0.146730474f, -0.989176510f,
12964     0.140658239f, -0.990058210f,
12965     0.134580709f, -0.990902635f,
12966     0.128498111f, -0.991709754f,
12967     0.122410675f, -0.992479535f,
12968     0.116318631f, -0.993211949f,
12969     0.110222207f, -0.993906970f,
12970     0.104121634f, -0.994564571f,
12971     0.098017140f, -0.995184727f,
12972     0.091908956f, -0.995767414f,
12973     0.085797312f, -0.996312612f,
12974     0.079682438f, -0.996820299f,
12975     0.073564564f, -0.997290457f,
12976     0.067443920f, -0.997723067f,
12977     0.061320736f, -0.998118113f,
12978     0.055195244f, -0.998475581f,
12979     0.049067674f, -0.998795456f,
12980     0.042938257f, -0.999077728f,
12981     0.036807223f, -0.999322385f,
12982     0.030674803f, -0.999529418f,
12983     0.024541229f, -0.999698819f,
12984     0.018406730f, -0.999830582f,
12985     0.012271538f, -0.999924702f,
12986     0.006135885f, -0.999981175f
12987 };
12988
12989 const float32_t twiddleCoef_rfft_2048[2048] = {
12990     0.000000000f,  1.000000000f,
12991     0.003067957f,  0.999995294f,
12992     0.006135885f,  0.999981175f,
12993     0.009203755f,  0.999957645f,
12994     0.012271538f,  0.999924702f,
12995     0.015339206f,  0.999882347f,
12996     0.018406730f,  0.999830582f,
12997     0.021474080f,  0.999769405f,
12998     0.024541229f,  0.999698819f,
12999     0.027608146f,  0.999618822f,
13000     0.030674803f,  0.999529418f,
13001     0.033741172f,  0.999430605f,
13002     0.036807223f,  0.999322385f,
13003     0.039872928f,  0.999204759f,
13004     0.042938257f,  0.999077728f,
13005     0.046003182f,  0.998941293f,
13006     0.049067674f,  0.998795456f,
13007     0.052131705f,  0.998640218f,
13008     0.055195244f,  0.998475581f,
13009     0.058258265f,  0.998301545f,
13010     0.061320736f,  0.998118113f,
13011     0.064382631f,  0.997925286f,
13012     0.067443920f,  0.997723067f,
13013     0.070504573f,  0.997511456f,
13014     0.073564564f,  0.997290457f,
13015     0.076623861f,  0.997060070f,
13016     0.079682438f,  0.996820299f,
13017     0.082740265f,  0.996571146f,
13018     0.085797312f,  0.996312612f,
13019     0.088853553f,  0.996044701f,
13020     0.091908956f,  0.995767414f,
13021     0.094963495f,  0.995480755f,
13022     0.098017140f,  0.995184727f,
13023     0.101069863f,  0.994879331f,
13024     0.104121634f,  0.994564571f,
13025     0.107172425f,  0.994240449f,
13026     0.110222207f,  0.993906970f,
13027     0.113270952f,  0.993564136f,
13028     0.116318631f,  0.993211949f,
13029     0.119365215f,  0.992850414f,
13030     0.122410675f,  0.992479535f,
13031     0.125454983f,  0.992099313f,
13032     0.128498111f,  0.991709754f,
13033     0.131540029f,  0.991310860f,
13034     0.134580709f,  0.990902635f,
13035     0.137620122f,  0.990485084f,
13036     0.140658239f,  0.990058210f,
13037     0.143695033f,  0.989622017f,
13038     0.146730474f,  0.989176510f,
13039     0.149764535f,  0.988721692f,
13040     0.152797185f,  0.988257568f,
13041     0.155828398f,  0.987784142f,
13042     0.158858143f,  0.987301418f,
13043     0.161886394f,  0.986809402f,
13044     0.164913120f,  0.986308097f,
13045     0.167938295f,  0.985797509f,
13046     0.170961889f,  0.985277642f,
13047     0.173983873f,  0.984748502f,
13048     0.177004220f,  0.984210092f,
13049     0.180022901f,  0.983662419f,
13050     0.183039888f,  0.983105487f,
13051     0.186055152f,  0.982539302f,
13052     0.189068664f,  0.981963869f,
13053     0.192080397f,  0.981379193f,
13054     0.195090322f,  0.980785280f,
13055     0.198098411f,  0.980182136f,
13056     0.201104635f,  0.979569766f,
13057     0.204108966f,  0.978948175f,
13058     0.207111376f,  0.978317371f,
13059     0.210111837f,  0.977677358f,
13060     0.213110320f,  0.977028143f,
13061     0.216106797f,  0.976369731f,
13062     0.219101240f,  0.975702130f,
13063     0.222093621f,  0.975025345f,
13064     0.225083911f,  0.974339383f,
13065     0.228072083f,  0.973644250f,
13066     0.231058108f,  0.972939952f,
13067     0.234041959f,  0.972226497f,
13068     0.237023606f,  0.971503891f,
13069     0.240003022f,  0.970772141f,
13070     0.242980180f,  0.970031253f,
13071     0.245955050f,  0.969281235f,
13072     0.248927606f,  0.968522094f,
13073     0.251897818f,  0.967753837f,
13074     0.254865660f,  0.966976471f,
13075     0.257831102f,  0.966190003f,
13076     0.260794118f,  0.965394442f,
13077     0.263754679f,  0.964589793f,
13078     0.266712757f,  0.963776066f,
13079     0.269668326f,  0.962953267f,
13080     0.272621355f,  0.962121404f,
13081     0.275571819f,  0.961280486f,
13082     0.278519689f,  0.960430519f,
13083     0.281464938f,  0.959571513f,
13084     0.284407537f,  0.958703475f,
13085     0.287347460f,  0.957826413f,
13086     0.290284677f,  0.956940336f,
13087     0.293219163f,  0.956045251f,
13088     0.296150888f,  0.955141168f,
13089     0.299079826f,  0.954228095f,
13090     0.302005949f,  0.953306040f,
13091     0.304929230f,  0.952375013f,
13092     0.307849640f,  0.951435021f,
13093     0.310767153f,  0.950486074f,
13094     0.313681740f,  0.949528181f,
13095     0.316593376f,  0.948561350f,
13096     0.319502031f,  0.947585591f,
13097     0.322407679f,  0.946600913f,
13098     0.325310292f,  0.945607325f,
13099     0.328209844f,  0.944604837f,
13100     0.331106306f,  0.943593458f,
13101     0.333999651f,  0.942573198f,
13102     0.336889853f,  0.941544065f,
13103     0.339776884f,  0.940506071f,
13104     0.342660717f,  0.939459224f,
13105     0.345541325f,  0.938403534f,
13106     0.348418680f,  0.937339012f,
13107     0.351292756f,  0.936265667f,
13108     0.354163525f,  0.935183510f,
13109     0.357030961f,  0.934092550f,
13110     0.359895037f,  0.932992799f,
13111     0.362755724f,  0.931884266f,
13112     0.365612998f,  0.930766961f,
13113     0.368466830f,  0.929640896f,
13114     0.371317194f,  0.928506080f,
13115     0.374164063f,  0.927362526f,
13116     0.377007410f,  0.926210242f,
13117     0.379847209f,  0.925049241f,
13118     0.382683432f,  0.923879533f,
13119     0.385516054f,  0.922701128f,
13120     0.388345047f,  0.921514039f,
13121     0.391170384f,  0.920318277f,
13122     0.393992040f,  0.919113852f,
13123     0.396809987f,  0.917900776f,
13124     0.399624200f,  0.916679060f,
13125     0.402434651f,  0.915448716f,
13126     0.405241314f,  0.914209756f,
13127     0.408044163f,  0.912962190f,
13128     0.410843171f,  0.911706032f,
13129     0.413638312f,  0.910441292f,
13130     0.416429560f,  0.909167983f,
13131     0.419216888f,  0.907886116f,
13132     0.422000271f,  0.906595705f,
13133     0.424779681f,  0.905296759f,
13134     0.427555093f,  0.903989293f,
13135     0.430326481f,  0.902673318f,
13136     0.433093819f,  0.901348847f,
13137     0.435857080f,  0.900015892f,
13138     0.438616239f,  0.898674466f,
13139     0.441371269f,  0.897324581f,
13140     0.444122145f,  0.895966250f,
13141     0.446868840f,  0.894599486f,
13142     0.449611330f,  0.893224301f,
13143     0.452349587f,  0.891840709f,
13144     0.455083587f,  0.890448723f,
13145     0.457813304f,  0.889048356f,
13146     0.460538711f,  0.887639620f,
13147     0.463259784f,  0.886222530f,
13148     0.465976496f,  0.884797098f,
13149     0.468688822f,  0.883363339f,
13150     0.471396737f,  0.881921264f,
13151     0.474100215f,  0.880470889f,
13152     0.476799230f,  0.879012226f,
13153     0.479493758f,  0.877545290f,
13154     0.482183772f,  0.876070094f,
13155     0.484869248f,  0.874586652f,
13156     0.487550160f,  0.873094978f,
13157     0.490226483f,  0.871595087f,
13158     0.492898192f,  0.870086991f,
13159     0.495565262f,  0.868570706f,
13160     0.498227667f,  0.867046246f,
13161     0.500885383f,  0.865513624f,
13162     0.503538384f,  0.863972856f,
13163     0.506186645f,  0.862423956f,
13164     0.508830143f,  0.860866939f,
13165     0.511468850f,  0.859301818f,
13166     0.514102744f,  0.857728610f,
13167     0.516731799f,  0.856147328f,
13168     0.519355990f,  0.854557988f,
13169     0.521975293f,  0.852960605f,
13170     0.524589683f,  0.851355193f,
13171     0.527199135f,  0.849741768f,
13172     0.529803625f,  0.848120345f,
13173     0.532403128f,  0.846490939f,
13174     0.534997620f,  0.844853565f,
13175     0.537587076f,  0.843208240f,
13176     0.540171473f,  0.841554977f,
13177     0.542750785f,  0.839893794f,
13178     0.545324988f,  0.838224706f,
13179     0.547894059f,  0.836547727f,
13180     0.550457973f,  0.834862875f,
13181     0.553016706f,  0.833170165f,
13182     0.555570233f,  0.831469612f,
13183     0.558118531f,  0.829761234f,
13184     0.560661576f,  0.828045045f,
13185     0.563199344f,  0.826321063f,
13186     0.565731811f,  0.824589303f,
13187     0.568258953f,  0.822849781f,
13188     0.570780746f,  0.821102515f,
13189     0.573297167f,  0.819347520f,
13190     0.575808191f,  0.817584813f,
13191     0.578313796f,  0.815814411f,
13192     0.580813958f,  0.814036330f,
13193     0.583308653f,  0.812250587f,
13194     0.585797857f,  0.810457198f,
13195     0.588281548f,  0.808656182f,
13196     0.590759702f,  0.806847554f,
13197     0.593232295f,  0.805031331f,
13198     0.595699304f,  0.803207531f,
13199     0.598160707f,  0.801376172f,
13200     0.600616479f,  0.799537269f,
13201     0.603066599f,  0.797690841f,
13202     0.605511041f,  0.795836905f,
13203     0.607949785f,  0.793975478f,
13204     0.610382806f,  0.792106577f,
13205     0.612810082f,  0.790230221f,
13206     0.615231591f,  0.788346428f,
13207     0.617647308f,  0.786455214f,
13208     0.620057212f,  0.784556597f,
13209     0.622461279f,  0.782650596f,
13210     0.624859488f,  0.780737229f,
13211     0.627251815f,  0.778816512f,
13212     0.629638239f,  0.776888466f,
13213     0.632018736f,  0.774953107f,
13214     0.634393284f,  0.773010453f,
13215     0.636761861f,  0.771060524f,
13216     0.639124445f,  0.769103338f,
13217     0.641481013f,  0.767138912f,
13218     0.643831543f,  0.765167266f,
13219     0.646176013f,  0.763188417f,
13220     0.648514401f,  0.761202385f,
13221     0.650846685f,  0.759209189f,
13222     0.653172843f,  0.757208847f,
13223     0.655492853f,  0.755201377f,
13224     0.657806693f,  0.753186799f,
13225     0.660114342f,  0.751165132f,
13226     0.662415778f,  0.749136395f,
13227     0.664710978f,  0.747100606f,
13228     0.666999922f,  0.745057785f,
13229     0.669282588f,  0.743007952f,
13230     0.671558955f,  0.740951125f,
13231     0.673829000f,  0.738887324f,
13232     0.676092704f,  0.736816569f,
13233     0.678350043f,  0.734738878f,
13234     0.680600998f,  0.732654272f,
13235     0.682845546f,  0.730562769f,
13236     0.685083668f,  0.728464390f,
13237     0.687315341f,  0.726359155f,
13238     0.689540545f,  0.724247083f,
13239     0.691759258f,  0.722128194f,
13240     0.693971461f,  0.720002508f,
13241     0.696177131f,  0.717870045f,
13242     0.698376249f,  0.715730825f,
13243     0.700568794f,  0.713584869f,
13244     0.702754744f,  0.711432196f,
13245     0.704934080f,  0.709272826f,
13246     0.707106781f,  0.707106781f,
13247     0.709272826f,  0.704934080f,
13248     0.711432196f,  0.702754744f,
13249     0.713584869f,  0.700568794f,
13250     0.715730825f,  0.698376249f,
13251     0.717870045f,  0.696177131f,
13252     0.720002508f,  0.693971461f,
13253     0.722128194f,  0.691759258f,
13254     0.724247083f,  0.689540545f,
13255     0.726359155f,  0.687315341f,
13256     0.728464390f,  0.685083668f,
13257     0.730562769f,  0.682845546f,
13258     0.732654272f,  0.680600998f,
13259     0.734738878f,  0.678350043f,
13260     0.736816569f,  0.676092704f,
13261     0.738887324f,  0.673829000f,
13262     0.740951125f,  0.671558955f,
13263     0.743007952f,  0.669282588f,
13264     0.745057785f,  0.666999922f,
13265     0.747100606f,  0.664710978f,
13266     0.749136395f,  0.662415778f,
13267     0.751165132f,  0.660114342f,
13268     0.753186799f,  0.657806693f,
13269     0.755201377f,  0.655492853f,
13270     0.757208847f,  0.653172843f,
13271     0.759209189f,  0.650846685f,
13272     0.761202385f,  0.648514401f,
13273     0.763188417f,  0.646176013f,
13274     0.765167266f,  0.643831543f,
13275     0.767138912f,  0.641481013f,
13276     0.769103338f,  0.639124445f,
13277     0.771060524f,  0.636761861f,
13278     0.773010453f,  0.634393284f,
13279     0.774953107f,  0.632018736f,
13280     0.776888466f,  0.629638239f,
13281     0.778816512f,  0.627251815f,
13282     0.780737229f,  0.624859488f,
13283     0.782650596f,  0.622461279f,
13284     0.784556597f,  0.620057212f,
13285     0.786455214f,  0.617647308f,
13286     0.788346428f,  0.615231591f,
13287     0.790230221f,  0.612810082f,
13288     0.792106577f,  0.610382806f,
13289     0.793975478f,  0.607949785f,
13290     0.795836905f,  0.605511041f,
13291     0.797690841f,  0.603066599f,
13292     0.799537269f,  0.600616479f,
13293     0.801376172f,  0.598160707f,
13294     0.803207531f,  0.595699304f,
13295     0.805031331f,  0.593232295f,
13296     0.806847554f,  0.590759702f,
13297     0.808656182f,  0.588281548f,
13298     0.810457198f,  0.585797857f,
13299     0.812250587f,  0.583308653f,
13300     0.814036330f,  0.580813958f,
13301     0.815814411f,  0.578313796f,
13302     0.817584813f,  0.575808191f,
13303     0.819347520f,  0.573297167f,
13304     0.821102515f,  0.570780746f,
13305     0.822849781f,  0.568258953f,
13306     0.824589303f,  0.565731811f,
13307     0.826321063f,  0.563199344f,
13308     0.828045045f,  0.560661576f,
13309     0.829761234f,  0.558118531f,
13310     0.831469612f,  0.555570233f,
13311     0.833170165f,  0.553016706f,
13312     0.834862875f,  0.550457973f,
13313     0.836547727f,  0.547894059f,
13314     0.838224706f,  0.545324988f,
13315     0.839893794f,  0.542750785f,
13316     0.841554977f,  0.540171473f,
13317     0.843208240f,  0.537587076f,
13318     0.844853565f,  0.534997620f,
13319     0.846490939f,  0.532403128f,
13320     0.848120345f,  0.529803625f,
13321     0.849741768f,  0.527199135f,
13322     0.851355193f,  0.524589683f,
13323     0.852960605f,  0.521975293f,
13324     0.854557988f,  0.519355990f,
13325     0.856147328f,  0.516731799f,
13326     0.857728610f,  0.514102744f,
13327     0.859301818f,  0.511468850f,
13328     0.860866939f,  0.508830143f,
13329     0.862423956f,  0.506186645f,
13330     0.863972856f,  0.503538384f,
13331     0.865513624f,  0.500885383f,
13332     0.867046246f,  0.498227667f,
13333     0.868570706f,  0.495565262f,
13334     0.870086991f,  0.492898192f,
13335     0.871595087f,  0.490226483f,
13336     0.873094978f,  0.487550160f,
13337     0.874586652f,  0.484869248f,
13338     0.876070094f,  0.482183772f,
13339     0.877545290f,  0.479493758f,
13340     0.879012226f,  0.476799230f,
13341     0.880470889f,  0.474100215f,
13342     0.881921264f,  0.471396737f,
13343     0.883363339f,  0.468688822f,
13344     0.884797098f,  0.465976496f,
13345     0.886222530f,  0.463259784f,
13346     0.887639620f,  0.460538711f,
13347     0.889048356f,  0.457813304f,
13348     0.890448723f,  0.455083587f,
13349     0.891840709f,  0.452349587f,
13350     0.893224301f,  0.449611330f,
13351     0.894599486f,  0.446868840f,
13352     0.895966250f,  0.444122145f,
13353     0.897324581f,  0.441371269f,
13354     0.898674466f,  0.438616239f,
13355     0.900015892f,  0.435857080f,
13356     0.901348847f,  0.433093819f,
13357     0.902673318f,  0.430326481f,
13358     0.903989293f,  0.427555093f,
13359     0.905296759f,  0.424779681f,
13360     0.906595705f,  0.422000271f,
13361     0.907886116f,  0.419216888f,
13362     0.909167983f,  0.416429560f,
13363     0.910441292f,  0.413638312f,
13364     0.911706032f,  0.410843171f,
13365     0.912962190f,  0.408044163f,
13366     0.914209756f,  0.405241314f,
13367     0.915448716f,  0.402434651f,
13368     0.916679060f,  0.399624200f,
13369     0.917900776f,  0.396809987f,
13370     0.919113852f,  0.393992040f,
13371     0.920318277f,  0.391170384f,
13372     0.921514039f,  0.388345047f,
13373     0.922701128f,  0.385516054f,
13374     0.923879533f,  0.382683432f,
13375     0.925049241f,  0.379847209f,
13376     0.926210242f,  0.377007410f,
13377     0.927362526f,  0.374164063f,
13378     0.928506080f,  0.371317194f,
13379     0.929640896f,  0.368466830f,
13380     0.930766961f,  0.365612998f,
13381     0.931884266f,  0.362755724f,
13382     0.932992799f,  0.359895037f,
13383     0.934092550f,  0.357030961f,
13384     0.935183510f,  0.354163525f,
13385     0.936265667f,  0.351292756f,
13386     0.937339012f,  0.348418680f,
13387     0.938403534f,  0.345541325f,
13388     0.939459224f,  0.342660717f,
13389     0.940506071f,  0.339776884f,
13390     0.941544065f,  0.336889853f,
13391     0.942573198f,  0.333999651f,
13392     0.943593458f,  0.331106306f,
13393     0.944604837f,  0.328209844f,
13394     0.945607325f,  0.325310292f,
13395     0.946600913f,  0.322407679f,
13396     0.947585591f,  0.319502031f,
13397     0.948561350f,  0.316593376f,
13398     0.949528181f,  0.313681740f,
13399     0.950486074f,  0.310767153f,
13400     0.951435021f,  0.307849640f,
13401     0.952375013f,  0.304929230f,
13402     0.953306040f,  0.302005949f,
13403     0.954228095f,  0.299079826f,
13404     0.955141168f,  0.296150888f,
13405     0.956045251f,  0.293219163f,
13406     0.956940336f,  0.290284677f,
13407     0.957826413f,  0.287347460f,
13408     0.958703475f,  0.284407537f,
13409     0.959571513f,  0.281464938f,
13410     0.960430519f,  0.278519689f,
13411     0.961280486f,  0.275571819f,
13412     0.962121404f,  0.272621355f,
13413     0.962953267f,  0.269668326f,
13414     0.963776066f,  0.266712757f,
13415     0.964589793f,  0.263754679f,
13416     0.965394442f,  0.260794118f,
13417     0.966190003f,  0.257831102f,
13418     0.966976471f,  0.254865660f,
13419     0.967753837f,  0.251897818f,
13420     0.968522094f,  0.248927606f,
13421     0.969281235f,  0.245955050f,
13422     0.970031253f,  0.242980180f,
13423     0.970772141f,  0.240003022f,
13424     0.971503891f,  0.237023606f,
13425     0.972226497f,  0.234041959f,
13426     0.972939952f,  0.231058108f,
13427     0.973644250f,  0.228072083f,
13428     0.974339383f,  0.225083911f,
13429     0.975025345f,  0.222093621f,
13430     0.975702130f,  0.219101240f,
13431     0.976369731f,  0.216106797f,
13432     0.977028143f,  0.213110320f,
13433     0.977677358f,  0.210111837f,
13434     0.978317371f,  0.207111376f,
13435     0.978948175f,  0.204108966f,
13436     0.979569766f,  0.201104635f,
13437     0.980182136f,  0.198098411f,
13438     0.980785280f,  0.195090322f,
13439     0.981379193f,  0.192080397f,
13440     0.981963869f,  0.189068664f,
13441     0.982539302f,  0.186055152f,
13442     0.983105487f,  0.183039888f,
13443     0.983662419f,  0.180022901f,
13444     0.984210092f,  0.177004220f,
13445     0.984748502f,  0.173983873f,
13446     0.985277642f,  0.170961889f,
13447     0.985797509f,  0.167938295f,
13448     0.986308097f,  0.164913120f,
13449     0.986809402f,  0.161886394f,
13450     0.987301418f,  0.158858143f,
13451     0.987784142f,  0.155828398f,
13452     0.988257568f,  0.152797185f,
13453     0.988721692f,  0.149764535f,
13454     0.989176510f,  0.146730474f,
13455     0.989622017f,  0.143695033f,
13456     0.990058210f,  0.140658239f,
13457     0.990485084f,  0.137620122f,
13458     0.990902635f,  0.134580709f,
13459     0.991310860f,  0.131540029f,
13460     0.991709754f,  0.128498111f,
13461     0.992099313f,  0.125454983f,
13462     0.992479535f,  0.122410675f,
13463     0.992850414f,  0.119365215f,
13464     0.993211949f,  0.116318631f,
13465     0.993564136f,  0.113270952f,
13466     0.993906970f,  0.110222207f,
13467     0.994240449f,  0.107172425f,
13468     0.994564571f,  0.104121634f,
13469     0.994879331f,  0.101069863f,
13470     0.995184727f,  0.098017140f,
13471     0.995480755f,  0.094963495f,
13472     0.995767414f,  0.091908956f,
13473     0.996044701f,  0.088853553f,
13474     0.996312612f,  0.085797312f,
13475     0.996571146f,  0.082740265f,
13476     0.996820299f,  0.079682438f,
13477     0.997060070f,  0.076623861f,
13478     0.997290457f,  0.073564564f,
13479     0.997511456f,  0.070504573f,
13480     0.997723067f,  0.067443920f,
13481     0.997925286f,  0.064382631f,
13482     0.998118113f,  0.061320736f,
13483     0.998301545f,  0.058258265f,
13484     0.998475581f,  0.055195244f,
13485     0.998640218f,  0.052131705f,
13486     0.998795456f,  0.049067674f,
13487     0.998941293f,  0.046003182f,
13488     0.999077728f,  0.042938257f,
13489     0.999204759f,  0.039872928f,
13490     0.999322385f,  0.036807223f,
13491     0.999430605f,  0.033741172f,
13492     0.999529418f,  0.030674803f,
13493     0.999618822f,  0.027608146f,
13494     0.999698819f,  0.024541229f,
13495     0.999769405f,  0.021474080f,
13496     0.999830582f,  0.018406730f,
13497     0.999882347f,  0.015339206f,
13498     0.999924702f,  0.012271538f,
13499     0.999957645f,  0.009203755f,
13500     0.999981175f,  0.006135885f,
13501     0.999995294f,  0.003067957f,
13502     1.000000000f,  0.000000000f,
13503     0.999995294f, -0.003067957f,
13504     0.999981175f, -0.006135885f,
13505     0.999957645f, -0.009203755f,
13506     0.999924702f, -0.012271538f,
13507     0.999882347f, -0.015339206f,
13508     0.999830582f, -0.018406730f,
13509     0.999769405f, -0.021474080f,
13510     0.999698819f, -0.024541229f,
13511     0.999618822f, -0.027608146f,
13512     0.999529418f, -0.030674803f,
13513     0.999430605f, -0.033741172f,
13514     0.999322385f, -0.036807223f,
13515     0.999204759f, -0.039872928f,
13516     0.999077728f, -0.042938257f,
13517     0.998941293f, -0.046003182f,
13518     0.998795456f, -0.049067674f,
13519     0.998640218f, -0.052131705f,
13520     0.998475581f, -0.055195244f,
13521     0.998301545f, -0.058258265f,
13522     0.998118113f, -0.061320736f,
13523     0.997925286f, -0.064382631f,
13524     0.997723067f, -0.067443920f,
13525     0.997511456f, -0.070504573f,
13526     0.997290457f, -0.073564564f,
13527     0.997060070f, -0.076623861f,
13528     0.996820299f, -0.079682438f,
13529     0.996571146f, -0.082740265f,
13530     0.996312612f, -0.085797312f,
13531     0.996044701f, -0.088853553f,
13532     0.995767414f, -0.091908956f,
13533     0.995480755f, -0.094963495f,
13534     0.995184727f, -0.098017140f,
13535     0.994879331f, -0.101069863f,
13536     0.994564571f, -0.104121634f,
13537     0.994240449f, -0.107172425f,
13538     0.993906970f, -0.110222207f,
13539     0.993564136f, -0.113270952f,
13540     0.993211949f, -0.116318631f,
13541     0.992850414f, -0.119365215f,
13542     0.992479535f, -0.122410675f,
13543     0.992099313f, -0.125454983f,
13544     0.991709754f, -0.128498111f,
13545     0.991310860f, -0.131540029f,
13546     0.990902635f, -0.134580709f,
13547     0.990485084f, -0.137620122f,
13548     0.990058210f, -0.140658239f,
13549     0.989622017f, -0.143695033f,
13550     0.989176510f, -0.146730474f,
13551     0.988721692f, -0.149764535f,
13552     0.988257568f, -0.152797185f,
13553     0.987784142f, -0.155828398f,
13554     0.987301418f, -0.158858143f,
13555     0.986809402f, -0.161886394f,
13556     0.986308097f, -0.164913120f,
13557     0.985797509f, -0.167938295f,
13558     0.985277642f, -0.170961889f,
13559     0.984748502f, -0.173983873f,
13560     0.984210092f, -0.177004220f,
13561     0.983662419f, -0.180022901f,
13562     0.983105487f, -0.183039888f,
13563     0.982539302f, -0.186055152f,
13564     0.981963869f, -0.189068664f,
13565     0.981379193f, -0.192080397f,
13566     0.980785280f, -0.195090322f,
13567     0.980182136f, -0.198098411f,
13568     0.979569766f, -0.201104635f,
13569     0.978948175f, -0.204108966f,
13570     0.978317371f, -0.207111376f,
13571     0.977677358f, -0.210111837f,
13572     0.977028143f, -0.213110320f,
13573     0.976369731f, -0.216106797f,
13574     0.975702130f, -0.219101240f,
13575     0.975025345f, -0.222093621f,
13576     0.974339383f, -0.225083911f,
13577     0.973644250f, -0.228072083f,
13578     0.972939952f, -0.231058108f,
13579     0.972226497f, -0.234041959f,
13580     0.971503891f, -0.237023606f,
13581     0.970772141f, -0.240003022f,
13582     0.970031253f, -0.242980180f,
13583     0.969281235f, -0.245955050f,
13584     0.968522094f, -0.248927606f,
13585     0.967753837f, -0.251897818f,
13586     0.966976471f, -0.254865660f,
13587     0.966190003f, -0.257831102f,
13588     0.965394442f, -0.260794118f,
13589     0.964589793f, -0.263754679f,
13590     0.963776066f, -0.266712757f,
13591     0.962953267f, -0.269668326f,
13592     0.962121404f, -0.272621355f,
13593     0.961280486f, -0.275571819f,
13594     0.960430519f, -0.278519689f,
13595     0.959571513f, -0.281464938f,
13596     0.958703475f, -0.284407537f,
13597     0.957826413f, -0.287347460f,
13598     0.956940336f, -0.290284677f,
13599     0.956045251f, -0.293219163f,
13600     0.955141168f, -0.296150888f,
13601     0.954228095f, -0.299079826f,
13602     0.953306040f, -0.302005949f,
13603     0.952375013f, -0.304929230f,
13604     0.951435021f, -0.307849640f,
13605     0.950486074f, -0.310767153f,
13606     0.949528181f, -0.313681740f,
13607     0.948561350f, -0.316593376f,
13608     0.947585591f, -0.319502031f,
13609     0.946600913f, -0.322407679f,
13610     0.945607325f, -0.325310292f,
13611     0.944604837f, -0.328209844f,
13612     0.943593458f, -0.331106306f,
13613     0.942573198f, -0.333999651f,
13614     0.941544065f, -0.336889853f,
13615     0.940506071f, -0.339776884f,
13616     0.939459224f, -0.342660717f,
13617     0.938403534f, -0.345541325f,
13618     0.937339012f, -0.348418680f,
13619     0.936265667f, -0.351292756f,
13620     0.935183510f, -0.354163525f,
13621     0.934092550f, -0.357030961f,
13622     0.932992799f, -0.359895037f,
13623     0.931884266f, -0.362755724f,
13624     0.930766961f, -0.365612998f,
13625     0.929640896f, -0.368466830f,
13626     0.928506080f, -0.371317194f,
13627     0.927362526f, -0.374164063f,
13628     0.926210242f, -0.377007410f,
13629     0.925049241f, -0.379847209f,
13630     0.923879533f, -0.382683432f,
13631     0.922701128f, -0.385516054f,
13632     0.921514039f, -0.388345047f,
13633     0.920318277f, -0.391170384f,
13634     0.919113852f, -0.393992040f,
13635     0.917900776f, -0.396809987f,
13636     0.916679060f, -0.399624200f,
13637     0.915448716f, -0.402434651f,
13638     0.914209756f, -0.405241314f,
13639     0.912962190f, -0.408044163f,
13640     0.911706032f, -0.410843171f,
13641     0.910441292f, -0.413638312f,
13642     0.909167983f, -0.416429560f,
13643     0.907886116f, -0.419216888f,
13644     0.906595705f, -0.422000271f,
13645     0.905296759f, -0.424779681f,
13646     0.903989293f, -0.427555093f,
13647     0.902673318f, -0.430326481f,
13648     0.901348847f, -0.433093819f,
13649     0.900015892f, -0.435857080f,
13650     0.898674466f, -0.438616239f,
13651     0.897324581f, -0.441371269f,
13652     0.895966250f, -0.444122145f,
13653     0.894599486f, -0.446868840f,
13654     0.893224301f, -0.449611330f,
13655     0.891840709f, -0.452349587f,
13656     0.890448723f, -0.455083587f,
13657     0.889048356f, -0.457813304f,
13658     0.887639620f, -0.460538711f,
13659     0.886222530f, -0.463259784f,
13660     0.884797098f, -0.465976496f,
13661     0.883363339f, -0.468688822f,
13662     0.881921264f, -0.471396737f,
13663     0.880470889f, -0.474100215f,
13664     0.879012226f, -0.476799230f,
13665     0.877545290f, -0.479493758f,
13666     0.876070094f, -0.482183772f,
13667     0.874586652f, -0.484869248f,
13668     0.873094978f, -0.487550160f,
13669     0.871595087f, -0.490226483f,
13670     0.870086991f, -0.492898192f,
13671     0.868570706f, -0.495565262f,
13672     0.867046246f, -0.498227667f,
13673     0.865513624f, -0.500885383f,
13674     0.863972856f, -0.503538384f,
13675     0.862423956f, -0.506186645f,
13676     0.860866939f, -0.508830143f,
13677     0.859301818f, -0.511468850f,
13678     0.857728610f, -0.514102744f,
13679     0.856147328f, -0.516731799f,
13680     0.854557988f, -0.519355990f,
13681     0.852960605f, -0.521975293f,
13682     0.851355193f, -0.524589683f,
13683     0.849741768f, -0.527199135f,
13684     0.848120345f, -0.529803625f,
13685     0.846490939f, -0.532403128f,
13686     0.844853565f, -0.534997620f,
13687     0.843208240f, -0.537587076f,
13688     0.841554977f, -0.540171473f,
13689     0.839893794f, -0.542750785f,
13690     0.838224706f, -0.545324988f,
13691     0.836547727f, -0.547894059f,
13692     0.834862875f, -0.550457973f,
13693     0.833170165f, -0.553016706f,
13694     0.831469612f, -0.555570233f,
13695     0.829761234f, -0.558118531f,
13696     0.828045045f, -0.560661576f,
13697     0.826321063f, -0.563199344f,
13698     0.824589303f, -0.565731811f,
13699     0.822849781f, -0.568258953f,
13700     0.821102515f, -0.570780746f,
13701     0.819347520f, -0.573297167f,
13702     0.817584813f, -0.575808191f,
13703     0.815814411f, -0.578313796f,
13704     0.814036330f, -0.580813958f,
13705     0.812250587f, -0.583308653f,
13706     0.810457198f, -0.585797857f,
13707     0.808656182f, -0.588281548f,
13708     0.806847554f, -0.590759702f,
13709     0.805031331f, -0.593232295f,
13710     0.803207531f, -0.595699304f,
13711     0.801376172f, -0.598160707f,
13712     0.799537269f, -0.600616479f,
13713     0.797690841f, -0.603066599f,
13714     0.795836905f, -0.605511041f,
13715     0.793975478f, -0.607949785f,
13716     0.792106577f, -0.610382806f,
13717     0.790230221f, -0.612810082f,
13718     0.788346428f, -0.615231591f,
13719     0.786455214f, -0.617647308f,
13720     0.784556597f, -0.620057212f,
13721     0.782650596f, -0.622461279f,
13722     0.780737229f, -0.624859488f,
13723     0.778816512f, -0.627251815f,
13724     0.776888466f, -0.629638239f,
13725     0.774953107f, -0.632018736f,
13726     0.773010453f, -0.634393284f,
13727     0.771060524f, -0.636761861f,
13728     0.769103338f, -0.639124445f,
13729     0.767138912f, -0.641481013f,
13730     0.765167266f, -0.643831543f,
13731     0.763188417f, -0.646176013f,
13732     0.761202385f, -0.648514401f,
13733     0.759209189f, -0.650846685f,
13734     0.757208847f, -0.653172843f,
13735     0.755201377f, -0.655492853f,
13736     0.753186799f, -0.657806693f,
13737     0.751165132f, -0.660114342f,
13738     0.749136395f, -0.662415778f,
13739     0.747100606f, -0.664710978f,
13740     0.745057785f, -0.666999922f,
13741     0.743007952f, -0.669282588f,
13742     0.740951125f, -0.671558955f,
13743     0.738887324f, -0.673829000f,
13744     0.736816569f, -0.676092704f,
13745     0.734738878f, -0.678350043f,
13746     0.732654272f, -0.680600998f,
13747     0.730562769f, -0.682845546f,
13748     0.728464390f, -0.685083668f,
13749     0.726359155f, -0.687315341f,
13750     0.724247083f, -0.689540545f,
13751     0.722128194f, -0.691759258f,
13752     0.720002508f, -0.693971461f,
13753     0.717870045f, -0.696177131f,
13754     0.715730825f, -0.698376249f,
13755     0.713584869f, -0.700568794f,
13756     0.711432196f, -0.702754744f,
13757     0.709272826f, -0.704934080f,
13758     0.707106781f, -0.707106781f,
13759     0.704934080f, -0.709272826f,
13760     0.702754744f, -0.711432196f,
13761     0.700568794f, -0.713584869f,
13762     0.698376249f, -0.715730825f,
13763     0.696177131f, -0.717870045f,
13764     0.693971461f, -0.720002508f,
13765     0.691759258f, -0.722128194f,
13766     0.689540545f, -0.724247083f,
13767     0.687315341f, -0.726359155f,
13768     0.685083668f, -0.728464390f,
13769     0.682845546f, -0.730562769f,
13770     0.680600998f, -0.732654272f,
13771     0.678350043f, -0.734738878f,
13772     0.676092704f, -0.736816569f,
13773     0.673829000f, -0.738887324f,
13774     0.671558955f, -0.740951125f,
13775     0.669282588f, -0.743007952f,
13776     0.666999922f, -0.745057785f,
13777     0.664710978f, -0.747100606f,
13778     0.662415778f, -0.749136395f,
13779     0.660114342f, -0.751165132f,
13780     0.657806693f, -0.753186799f,
13781     0.655492853f, -0.755201377f,
13782     0.653172843f, -0.757208847f,
13783     0.650846685f, -0.759209189f,
13784     0.648514401f, -0.761202385f,
13785     0.646176013f, -0.763188417f,
13786     0.643831543f, -0.765167266f,
13787     0.641481013f, -0.767138912f,
13788     0.639124445f, -0.769103338f,
13789     0.636761861f, -0.771060524f,
13790     0.634393284f, -0.773010453f,
13791     0.632018736f, -0.774953107f,
13792     0.629638239f, -0.776888466f,
13793     0.627251815f, -0.778816512f,
13794     0.624859488f, -0.780737229f,
13795     0.622461279f, -0.782650596f,
13796     0.620057212f, -0.784556597f,
13797     0.617647308f, -0.786455214f,
13798     0.615231591f, -0.788346428f,
13799     0.612810082f, -0.790230221f,
13800     0.610382806f, -0.792106577f,
13801     0.607949785f, -0.793975478f,
13802     0.605511041f, -0.795836905f,
13803     0.603066599f, -0.797690841f,
13804     0.600616479f, -0.799537269f,
13805     0.598160707f, -0.801376172f,
13806     0.595699304f, -0.803207531f,
13807     0.593232295f, -0.805031331f,
13808     0.590759702f, -0.806847554f,
13809     0.588281548f, -0.808656182f,
13810     0.585797857f, -0.810457198f,
13811     0.583308653f, -0.812250587f,
13812     0.580813958f, -0.814036330f,
13813     0.578313796f, -0.815814411f,
13814     0.575808191f, -0.817584813f,
13815     0.573297167f, -0.819347520f,
13816     0.570780746f, -0.821102515f,
13817     0.568258953f, -0.822849781f,
13818     0.565731811f, -0.824589303f,
13819     0.563199344f, -0.826321063f,
13820     0.560661576f, -0.828045045f,
13821     0.558118531f, -0.829761234f,
13822     0.555570233f, -0.831469612f,
13823     0.553016706f, -0.833170165f,
13824     0.550457973f, -0.834862875f,
13825     0.547894059f, -0.836547727f,
13826     0.545324988f, -0.838224706f,
13827     0.542750785f, -0.839893794f,
13828     0.540171473f, -0.841554977f,
13829     0.537587076f, -0.843208240f,
13830     0.534997620f, -0.844853565f,
13831     0.532403128f, -0.846490939f,
13832     0.529803625f, -0.848120345f,
13833     0.527199135f, -0.849741768f,
13834     0.524589683f, -0.851355193f,
13835     0.521975293f, -0.852960605f,
13836     0.519355990f, -0.854557988f,
13837     0.516731799f, -0.856147328f,
13838     0.514102744f, -0.857728610f,
13839     0.511468850f, -0.859301818f,
13840     0.508830143f, -0.860866939f,
13841     0.506186645f, -0.862423956f,
13842     0.503538384f, -0.863972856f,
13843     0.500885383f, -0.865513624f,
13844     0.498227667f, -0.867046246f,
13845     0.495565262f, -0.868570706f,
13846     0.492898192f, -0.870086991f,
13847     0.490226483f, -0.871595087f,
13848     0.487550160f, -0.873094978f,
13849     0.484869248f, -0.874586652f,
13850     0.482183772f, -0.876070094f,
13851     0.479493758f, -0.877545290f,
13852     0.476799230f, -0.879012226f,
13853     0.474100215f, -0.880470889f,
13854     0.471396737f, -0.881921264f,
13855     0.468688822f, -0.883363339f,
13856     0.465976496f, -0.884797098f,
13857     0.463259784f, -0.886222530f,
13858     0.460538711f, -0.887639620f,
13859     0.457813304f, -0.889048356f,
13860     0.455083587f, -0.890448723f,
13861     0.452349587f, -0.891840709f,
13862     0.449611330f, -0.893224301f,
13863     0.446868840f, -0.894599486f,
13864     0.444122145f, -0.895966250f,
13865     0.441371269f, -0.897324581f,
13866     0.438616239f, -0.898674466f,
13867     0.435857080f, -0.900015892f,
13868     0.433093819f, -0.901348847f,
13869     0.430326481f, -0.902673318f,
13870     0.427555093f, -0.903989293f,
13871     0.424779681f, -0.905296759f,
13872     0.422000271f, -0.906595705f,
13873     0.419216888f, -0.907886116f,
13874     0.416429560f, -0.909167983f,
13875     0.413638312f, -0.910441292f,
13876     0.410843171f, -0.911706032f,
13877     0.408044163f, -0.912962190f,
13878     0.405241314f, -0.914209756f,
13879     0.402434651f, -0.915448716f,
13880     0.399624200f, -0.916679060f,
13881     0.396809987f, -0.917900776f,
13882     0.393992040f, -0.919113852f,
13883     0.391170384f, -0.920318277f,
13884     0.388345047f, -0.921514039f,
13885     0.385516054f, -0.922701128f,
13886     0.382683432f, -0.923879533f,
13887     0.379847209f, -0.925049241f,
13888     0.377007410f, -0.926210242f,
13889     0.374164063f, -0.927362526f,
13890     0.371317194f, -0.928506080f,
13891     0.368466830f, -0.929640896f,
13892     0.365612998f, -0.930766961f,
13893     0.362755724f, -0.931884266f,
13894     0.359895037f, -0.932992799f,
13895     0.357030961f, -0.934092550f,
13896     0.354163525f, -0.935183510f,
13897     0.351292756f, -0.936265667f,
13898     0.348418680f, -0.937339012f,
13899     0.345541325f, -0.938403534f,
13900     0.342660717f, -0.939459224f,
13901     0.339776884f, -0.940506071f,
13902     0.336889853f, -0.941544065f,
13903     0.333999651f, -0.942573198f,
13904     0.331106306f, -0.943593458f,
13905     0.328209844f, -0.944604837f,
13906     0.325310292f, -0.945607325f,
13907     0.322407679f, -0.946600913f,
13908     0.319502031f, -0.947585591f,
13909     0.316593376f, -0.948561350f,
13910     0.313681740f, -0.949528181f,
13911     0.310767153f, -0.950486074f,
13912     0.307849640f, -0.951435021f,
13913     0.304929230f, -0.952375013f,
13914     0.302005949f, -0.953306040f,
13915     0.299079826f, -0.954228095f,
13916     0.296150888f, -0.955141168f,
13917     0.293219163f, -0.956045251f,
13918     0.290284677f, -0.956940336f,
13919     0.287347460f, -0.957826413f,
13920     0.284407537f, -0.958703475f,
13921     0.281464938f, -0.959571513f,
13922     0.278519689f, -0.960430519f,
13923     0.275571819f, -0.961280486f,
13924     0.272621355f, -0.962121404f,
13925     0.269668326f, -0.962953267f,
13926     0.266712757f, -0.963776066f,
13927     0.263754679f, -0.964589793f,
13928     0.260794118f, -0.965394442f,
13929     0.257831102f, -0.966190003f,
13930     0.254865660f, -0.966976471f,
13931     0.251897818f, -0.967753837f,
13932     0.248927606f, -0.968522094f,
13933     0.245955050f, -0.969281235f,
13934     0.242980180f, -0.970031253f,
13935     0.240003022f, -0.970772141f,
13936     0.237023606f, -0.971503891f,
13937     0.234041959f, -0.972226497f,
13938     0.231058108f, -0.972939952f,
13939     0.228072083f, -0.973644250f,
13940     0.225083911f, -0.974339383f,
13941     0.222093621f, -0.975025345f,
13942     0.219101240f, -0.975702130f,
13943     0.216106797f, -0.976369731f,
13944     0.213110320f, -0.977028143f,
13945     0.210111837f, -0.977677358f,
13946     0.207111376f, -0.978317371f,
13947     0.204108966f, -0.978948175f,
13948     0.201104635f, -0.979569766f,
13949     0.198098411f, -0.980182136f,
13950     0.195090322f, -0.980785280f,
13951     0.192080397f, -0.981379193f,
13952     0.189068664f, -0.981963869f,
13953     0.186055152f, -0.982539302f,
13954     0.183039888f, -0.983105487f,
13955     0.180022901f, -0.983662419f,
13956     0.177004220f, -0.984210092f,
13957     0.173983873f, -0.984748502f,
13958     0.170961889f, -0.985277642f,
13959     0.167938295f, -0.985797509f,
13960     0.164913120f, -0.986308097f,
13961     0.161886394f, -0.986809402f,
13962     0.158858143f, -0.987301418f,
13963     0.155828398f, -0.987784142f,
13964     0.152797185f, -0.988257568f,
13965     0.149764535f, -0.988721692f,
13966     0.146730474f, -0.989176510f,
13967     0.143695033f, -0.989622017f,
13968     0.140658239f, -0.990058210f,
13969     0.137620122f, -0.990485084f,
13970     0.134580709f, -0.990902635f,
13971     0.131540029f, -0.991310860f,
13972     0.128498111f, -0.991709754f,
13973     0.125454983f, -0.992099313f,
13974     0.122410675f, -0.992479535f,
13975     0.119365215f, -0.992850414f,
13976     0.116318631f, -0.993211949f,
13977     0.113270952f, -0.993564136f,
13978     0.110222207f, -0.993906970f,
13979     0.107172425f, -0.994240449f,
13980     0.104121634f, -0.994564571f,
13981     0.101069863f, -0.994879331f,
13982     0.098017140f, -0.995184727f,
13983     0.094963495f, -0.995480755f,
13984     0.091908956f, -0.995767414f,
13985     0.088853553f, -0.996044701f,
13986     0.085797312f, -0.996312612f,
13987     0.082740265f, -0.996571146f,
13988     0.079682438f, -0.996820299f,
13989     0.076623861f, -0.997060070f,
13990     0.073564564f, -0.997290457f,
13991     0.070504573f, -0.997511456f,
13992     0.067443920f, -0.997723067f,
13993     0.064382631f, -0.997925286f,
13994     0.061320736f, -0.998118113f,
13995     0.058258265f, -0.998301545f,
13996     0.055195244f, -0.998475581f,
13997     0.052131705f, -0.998640218f,
13998     0.049067674f, -0.998795456f,
13999     0.046003182f, -0.998941293f,
14000     0.042938257f, -0.999077728f,
14001     0.039872928f, -0.999204759f,
14002     0.036807223f, -0.999322385f,
14003     0.033741172f, -0.999430605f,
14004     0.030674803f, -0.999529418f,
14005     0.027608146f, -0.999618822f,
14006     0.024541229f, -0.999698819f,
14007     0.021474080f, -0.999769405f,
14008     0.018406730f, -0.999830582f,
14009     0.015339206f, -0.999882347f,
14010     0.012271538f, -0.999924702f,
14011     0.009203755f, -0.999957645f,
14012     0.006135885f, -0.999981175f,
14013     0.003067957f, -0.999995294f
14014 };
14015
14016 const float32_t twiddleCoef_rfft_4096[4096] = {
14017     0.000000000f,  1.000000000f,
14018     0.001533980f,  0.999998823f,
14019     0.003067957f,  0.999995294f,
14020     0.004601926f,  0.999989411f,
14021     0.006135885f,  0.999981175f,
14022     0.007669829f,  0.999970586f,
14023     0.009203755f,  0.999957645f,
14024     0.010737659f,  0.999942350f,
14025     0.012271538f,  0.999924702f,
14026     0.013805389f,  0.999904701f,
14027     0.015339206f,  0.999882347f,
14028     0.016872988f,  0.999857641f,
14029     0.018406730f,  0.999830582f,
14030     0.019940429f,  0.999801170f,
14031     0.021474080f,  0.999769405f,
14032     0.023007681f,  0.999735288f,
14033     0.024541229f,  0.999698819f,
14034     0.026074718f,  0.999659997f,
14035     0.027608146f,  0.999618822f,
14036     0.029141509f,  0.999575296f,
14037     0.030674803f,  0.999529418f,
14038     0.032208025f,  0.999481187f,
14039     0.033741172f,  0.999430605f,
14040     0.035274239f,  0.999377670f,
14041     0.036807223f,  0.999322385f,
14042     0.038340120f,  0.999264747f,
14043     0.039872928f,  0.999204759f,
14044     0.041405641f,  0.999142419f,
14045     0.042938257f,  0.999077728f,
14046     0.044470772f,  0.999010686f,
14047     0.046003182f,  0.998941293f,
14048     0.047535484f,  0.998869550f,
14049     0.049067674f,  0.998795456f,
14050     0.050599749f,  0.998719012f,
14051     0.052131705f,  0.998640218f,
14052     0.053663538f,  0.998559074f,
14053     0.055195244f,  0.998475581f,
14054     0.056726821f,  0.998389737f,
14055     0.058258265f,  0.998301545f,
14056     0.059789571f,  0.998211003f,
14057     0.061320736f,  0.998118113f,
14058     0.062851758f,  0.998022874f,
14059     0.064382631f,  0.997925286f,
14060     0.065913353f,  0.997825350f,
14061     0.067443920f,  0.997723067f,
14062     0.068974328f,  0.997618435f,
14063     0.070504573f,  0.997511456f,
14064     0.072034653f,  0.997402130f,
14065     0.073564564f,  0.997290457f,
14066     0.075094301f,  0.997176437f,
14067     0.076623861f,  0.997060070f,
14068     0.078153242f,  0.996941358f,
14069     0.079682438f,  0.996820299f,
14070     0.081211447f,  0.996696895f,
14071     0.082740265f,  0.996571146f,
14072     0.084268888f,  0.996443051f,
14073     0.085797312f,  0.996312612f,
14074     0.087325535f,  0.996179829f,
14075     0.088853553f,  0.996044701f,
14076     0.090381361f,  0.995907229f,
14077     0.091908956f,  0.995767414f,
14078     0.093436336f,  0.995625256f,
14079     0.094963495f,  0.995480755f,
14080     0.096490431f,  0.995333912f,
14081     0.098017140f,  0.995184727f,
14082     0.099543619f,  0.995033199f,
14083     0.101069863f,  0.994879331f,
14084     0.102595869f,  0.994723121f,
14085     0.104121634f,  0.994564571f,
14086     0.105647154f,  0.994403680f,
14087     0.107172425f,  0.994240449f,
14088     0.108697444f,  0.994074879f,
14089     0.110222207f,  0.993906970f,
14090     0.111746711f,  0.993736722f,
14091     0.113270952f,  0.993564136f,
14092     0.114794927f,  0.993389211f,
14093     0.116318631f,  0.993211949f,
14094     0.117842062f,  0.993032350f,
14095     0.119365215f,  0.992850414f,
14096     0.120888087f,  0.992666142f,
14097     0.122410675f,  0.992479535f,
14098     0.123932975f,  0.992290591f,
14099     0.125454983f,  0.992099313f,
14100     0.126976696f,  0.991905700f,
14101     0.128498111f,  0.991709754f,
14102     0.130019223f,  0.991511473f,
14103     0.131540029f,  0.991310860f,
14104     0.133060525f,  0.991107914f,
14105     0.134580709f,  0.990902635f,
14106     0.136100575f,  0.990695025f,
14107     0.137620122f,  0.990485084f,
14108     0.139139344f,  0.990272812f,
14109     0.140658239f,  0.990058210f,
14110     0.142176804f,  0.989841278f,
14111     0.143695033f,  0.989622017f,
14112     0.145212925f,  0.989400428f,
14113     0.146730474f,  0.989176510f,
14114     0.148247679f,  0.988950265f,
14115     0.149764535f,  0.988721692f,
14116     0.151281038f,  0.988490793f,
14117     0.152797185f,  0.988257568f,
14118     0.154312973f,  0.988022017f,
14119     0.155828398f,  0.987784142f,
14120     0.157343456f,  0.987543942f,
14121     0.158858143f,  0.987301418f,
14122     0.160372457f,  0.987056571f,
14123     0.161886394f,  0.986809402f,
14124     0.163399949f,  0.986559910f,
14125     0.164913120f,  0.986308097f,
14126     0.166425904f,  0.986053963f,
14127     0.167938295f,  0.985797509f,
14128     0.169450291f,  0.985538735f,
14129     0.170961889f,  0.985277642f,
14130     0.172473084f,  0.985014231f,
14131     0.173983873f,  0.984748502f,
14132     0.175494253f,  0.984480455f,
14133     0.177004220f,  0.984210092f,
14134     0.178513771f,  0.983937413f,
14135     0.180022901f,  0.983662419f,
14136     0.181531608f,  0.983385110f,
14137     0.183039888f,  0.983105487f,
14138     0.184547737f,  0.982823551f,
14139     0.186055152f,  0.982539302f,
14140     0.187562129f,  0.982252741f,
14141     0.189068664f,  0.981963869f,
14142     0.190574755f,  0.981672686f,
14143     0.192080397f,  0.981379193f,
14144     0.193585587f,  0.981083391f,
14145     0.195090322f,  0.980785280f,
14146     0.196594598f,  0.980484862f,
14147     0.198098411f,  0.980182136f,
14148     0.199601758f,  0.979877104f,
14149     0.201104635f,  0.979569766f,
14150     0.202607039f,  0.979260123f,
14151     0.204108966f,  0.978948175f,
14152     0.205610413f,  0.978633924f,
14153     0.207111376f,  0.978317371f,
14154     0.208611852f,  0.977998515f,
14155     0.210111837f,  0.977677358f,
14156     0.211611327f,  0.977353900f,
14157     0.213110320f,  0.977028143f,
14158     0.214608811f,  0.976700086f,
14159     0.216106797f,  0.976369731f,
14160     0.217604275f,  0.976037079f,
14161     0.219101240f,  0.975702130f,
14162     0.220597690f,  0.975364885f,
14163     0.222093621f,  0.975025345f,
14164     0.223589029f,  0.974683511f,
14165     0.225083911f,  0.974339383f,
14166     0.226578264f,  0.973992962f,
14167     0.228072083f,  0.973644250f,
14168     0.229565366f,  0.973293246f,
14169     0.231058108f,  0.972939952f,
14170     0.232550307f,  0.972584369f,
14171     0.234041959f,  0.972226497f,
14172     0.235533059f,  0.971866337f,
14173     0.237023606f,  0.971503891f,
14174     0.238513595f,  0.971139158f,
14175     0.240003022f,  0.970772141f,
14176     0.241491885f,  0.970402839f,
14177     0.242980180f,  0.970031253f,
14178     0.244467903f,  0.969657385f,
14179     0.245955050f,  0.969281235f,
14180     0.247441619f,  0.968902805f,
14181     0.248927606f,  0.968522094f,
14182     0.250413007f,  0.968139105f,
14183     0.251897818f,  0.967753837f,
14184     0.253382037f,  0.967366292f,
14185     0.254865660f,  0.966976471f,
14186     0.256348682f,  0.966584374f,
14187     0.257831102f,  0.966190003f,
14188     0.259312915f,  0.965793359f,
14189     0.260794118f,  0.965394442f,
14190     0.262274707f,  0.964993253f,
14191     0.263754679f,  0.964589793f,
14192     0.265234030f,  0.964184064f,
14193     0.266712757f,  0.963776066f,
14194     0.268190857f,  0.963365800f,
14195     0.269668326f,  0.962953267f,
14196     0.271145160f,  0.962538468f,
14197     0.272621355f,  0.962121404f,
14198     0.274096910f,  0.961702077f,
14199     0.275571819f,  0.961280486f,
14200     0.277046080f,  0.960856633f,
14201     0.278519689f,  0.960430519f,
14202     0.279992643f,  0.960002146f,
14203     0.281464938f,  0.959571513f,
14204     0.282936570f,  0.959138622f,
14205     0.284407537f,  0.958703475f,
14206     0.285877835f,  0.958266071f,
14207     0.287347460f,  0.957826413f,
14208     0.288816408f,  0.957384501f,
14209     0.290284677f,  0.956940336f,
14210     0.291752263f,  0.956493919f,
14211     0.293219163f,  0.956045251f,
14212     0.294685372f,  0.955594334f,
14213     0.296150888f,  0.955141168f,
14214     0.297615707f,  0.954685755f,
14215     0.299079826f,  0.954228095f,
14216     0.300543241f,  0.953768190f,
14217     0.302005949f,  0.953306040f,
14218     0.303467947f,  0.952841648f,
14219     0.304929230f,  0.952375013f,
14220     0.306389795f,  0.951906137f,
14221     0.307849640f,  0.951435021f,
14222     0.309308760f,  0.950961666f,
14223     0.310767153f,  0.950486074f,
14224     0.312224814f,  0.950008245f,
14225     0.313681740f,  0.949528181f,
14226     0.315137929f,  0.949045882f,
14227     0.316593376f,  0.948561350f,
14228     0.318048077f,  0.948074586f,
14229     0.319502031f,  0.947585591f,
14230     0.320955232f,  0.947094366f,
14231     0.322407679f,  0.946600913f,
14232     0.323859367f,  0.946105232f,
14233     0.325310292f,  0.945607325f,
14234     0.326760452f,  0.945107193f,
14235     0.328209844f,  0.944604837f,
14236     0.329658463f,  0.944100258f,
14237     0.331106306f,  0.943593458f,
14238     0.332553370f,  0.943084437f,
14239     0.333999651f,  0.942573198f,
14240     0.335445147f,  0.942059740f,
14241     0.336889853f,  0.941544065f,
14242     0.338333767f,  0.941026175f,
14243     0.339776884f,  0.940506071f,
14244     0.341219202f,  0.939983753f,
14245     0.342660717f,  0.939459224f,
14246     0.344101426f,  0.938932484f,
14247     0.345541325f,  0.938403534f,
14248     0.346980411f,  0.937872376f,
14249     0.348418680f,  0.937339012f,
14250     0.349856130f,  0.936803442f,
14251     0.351292756f,  0.936265667f,
14252     0.352728556f,  0.935725689f,
14253     0.354163525f,  0.935183510f,
14254     0.355597662f,  0.934639130f,
14255     0.357030961f,  0.934092550f,
14256     0.358463421f,  0.933543773f,
14257     0.359895037f,  0.932992799f,
14258     0.361325806f,  0.932439629f,
14259     0.362755724f,  0.931884266f,
14260     0.364184790f,  0.931326709f,
14261     0.365612998f,  0.930766961f,
14262     0.367040346f,  0.930205023f,
14263     0.368466830f,  0.929640896f,
14264     0.369892447f,  0.929074581f,
14265     0.371317194f,  0.928506080f,
14266     0.372741067f,  0.927935395f,
14267     0.374164063f,  0.927362526f,
14268     0.375586178f,  0.926787474f,
14269     0.377007410f,  0.926210242f,
14270     0.378427755f,  0.925630831f,
14271     0.379847209f,  0.925049241f,
14272     0.381265769f,  0.924465474f,
14273     0.382683432f,  0.923879533f,
14274     0.384100195f,  0.923291417f,
14275     0.385516054f,  0.922701128f,
14276     0.386931006f,  0.922108669f,
14277     0.388345047f,  0.921514039f,
14278     0.389758174f,  0.920917242f,
14279     0.391170384f,  0.920318277f,
14280     0.392581674f,  0.919717146f,
14281     0.393992040f,  0.919113852f,
14282     0.395401479f,  0.918508394f,
14283     0.396809987f,  0.917900776f,
14284     0.398217562f,  0.917290997f,
14285     0.399624200f,  0.916679060f,
14286     0.401029897f,  0.916064966f,
14287     0.402434651f,  0.915448716f,
14288     0.403838458f,  0.914830312f,
14289     0.405241314f,  0.914209756f,
14290     0.406643217f,  0.913587048f,
14291     0.408044163f,  0.912962190f,
14292     0.409444149f,  0.912335185f,
14293     0.410843171f,  0.911706032f,
14294     0.412241227f,  0.911074734f,
14295     0.413638312f,  0.910441292f,
14296     0.415034424f,  0.909805708f,
14297     0.416429560f,  0.909167983f,
14298     0.417823716f,  0.908528119f,
14299     0.419216888f,  0.907886116f,
14300     0.420609074f,  0.907241978f,
14301     0.422000271f,  0.906595705f,
14302     0.423390474f,  0.905947298f,
14303     0.424779681f,  0.905296759f,
14304     0.426167889f,  0.904644091f,
14305     0.427555093f,  0.903989293f,
14306     0.428941292f,  0.903332368f,
14307     0.430326481f,  0.902673318f,
14308     0.431710658f,  0.902012144f,
14309     0.433093819f,  0.901348847f,
14310     0.434475961f,  0.900683429f,
14311     0.435857080f,  0.900015892f,
14312     0.437237174f,  0.899346237f,
14313     0.438616239f,  0.898674466f,
14314     0.439994271f,  0.898000580f,
14315     0.441371269f,  0.897324581f,
14316     0.442747228f,  0.896646470f,
14317     0.444122145f,  0.895966250f,
14318     0.445496017f,  0.895283921f,
14319     0.446868840f,  0.894599486f,
14320     0.448240612f,  0.893912945f,
14321     0.449611330f,  0.893224301f,
14322     0.450980989f,  0.892533555f,
14323     0.452349587f,  0.891840709f,
14324     0.453717121f,  0.891145765f,
14325     0.455083587f,  0.890448723f,
14326     0.456448982f,  0.889749586f,
14327     0.457813304f,  0.889048356f,
14328     0.459176548f,  0.888345033f,
14329     0.460538711f,  0.887639620f,
14330     0.461899791f,  0.886932119f,
14331     0.463259784f,  0.886222530f,
14332     0.464618686f,  0.885510856f,
14333     0.465976496f,  0.884797098f,
14334     0.467333209f,  0.884081259f,
14335     0.468688822f,  0.883363339f,
14336     0.470043332f,  0.882643340f,
14337     0.471396737f,  0.881921264f,
14338     0.472749032f,  0.881197113f,
14339     0.474100215f,  0.880470889f,
14340     0.475450282f,  0.879742593f,
14341     0.476799230f,  0.879012226f,
14342     0.478147056f,  0.878279792f,
14343     0.479493758f,  0.877545290f,
14344     0.480839331f,  0.876808724f,
14345     0.482183772f,  0.876070094f,
14346     0.483527079f,  0.875329403f,
14347     0.484869248f,  0.874586652f,
14348     0.486210276f,  0.873841843f,
14349     0.487550160f,  0.873094978f,
14350     0.488888897f,  0.872346059f,
14351     0.490226483f,  0.871595087f,
14352     0.491562916f,  0.870842063f,
14353     0.492898192f,  0.870086991f,
14354     0.494232309f,  0.869329871f,
14355     0.495565262f,  0.868570706f,
14356     0.496897049f,  0.867809497f,
14357     0.498227667f,  0.867046246f,
14358     0.499557113f,  0.866280954f,
14359     0.500885383f,  0.865513624f,
14360     0.502212474f,  0.864744258f,
14361     0.503538384f,  0.863972856f,
14362     0.504863109f,  0.863199422f,
14363     0.506186645f,  0.862423956f,
14364     0.507508991f,  0.861646461f,
14365     0.508830143f,  0.860866939f,
14366     0.510150097f,  0.860085390f,
14367     0.511468850f,  0.859301818f,
14368     0.512786401f,  0.858516224f,
14369     0.514102744f,  0.857728610f,
14370     0.515417878f,  0.856938977f,
14371     0.516731799f,  0.856147328f,
14372     0.518044504f,  0.855353665f,
14373     0.519355990f,  0.854557988f,
14374     0.520666254f,  0.853760301f,
14375     0.521975293f,  0.852960605f,
14376     0.523283103f,  0.852158902f,
14377     0.524589683f,  0.851355193f,
14378     0.525895027f,  0.850549481f,
14379     0.527199135f,  0.849741768f,
14380     0.528502002f,  0.848932055f,
14381     0.529803625f,  0.848120345f,
14382     0.531104001f,  0.847306639f,
14383     0.532403128f,  0.846490939f,
14384     0.533701002f,  0.845673247f,
14385     0.534997620f,  0.844853565f,
14386     0.536292979f,  0.844031895f,
14387     0.537587076f,  0.843208240f,
14388     0.538879909f,  0.842382600f,
14389     0.540171473f,  0.841554977f,
14390     0.541461766f,  0.840725375f,
14391     0.542750785f,  0.839893794f,
14392     0.544038527f,  0.839060237f,
14393     0.545324988f,  0.838224706f,
14394     0.546610167f,  0.837387202f,
14395     0.547894059f,  0.836547727f,
14396     0.549176662f,  0.835706284f,
14397     0.550457973f,  0.834862875f,
14398     0.551737988f,  0.834017501f,
14399     0.553016706f,  0.833170165f,
14400     0.554294121f,  0.832320868f,
14401     0.555570233f,  0.831469612f,
14402     0.556845037f,  0.830616400f,
14403     0.558118531f,  0.829761234f,
14404     0.559390712f,  0.828904115f,
14405     0.560661576f,  0.828045045f,
14406     0.561931121f,  0.827184027f,
14407     0.563199344f,  0.826321063f,
14408     0.564466242f,  0.825456154f,
14409     0.565731811f,  0.824589303f,
14410     0.566996049f,  0.823720511f,
14411     0.568258953f,  0.822849781f,
14412     0.569520519f,  0.821977115f,
14413     0.570780746f,  0.821102515f,
14414     0.572039629f,  0.820225983f,
14415     0.573297167f,  0.819347520f,
14416     0.574553355f,  0.818467130f,
14417     0.575808191f,  0.817584813f,
14418     0.577061673f,  0.816700573f,
14419     0.578313796f,  0.815814411f,
14420     0.579564559f,  0.814926329f,
14421     0.580813958f,  0.814036330f,
14422     0.582061990f,  0.813144415f,
14423     0.583308653f,  0.812250587f,
14424     0.584553943f,  0.811354847f,
14425     0.585797857f,  0.810457198f,
14426     0.587040394f,  0.809557642f,
14427     0.588281548f,  0.808656182f,
14428     0.589521319f,  0.807752818f,
14429     0.590759702f,  0.806847554f,
14430     0.591996695f,  0.805940391f,
14431     0.593232295f,  0.805031331f,
14432     0.594466499f,  0.804120377f,
14433     0.595699304f,  0.803207531f,
14434     0.596930708f,  0.802292796f,
14435     0.598160707f,  0.801376172f,
14436     0.599389298f,  0.800457662f,
14437     0.600616479f,  0.799537269f,
14438     0.601842247f,  0.798614995f,
14439     0.603066599f,  0.797690841f,
14440     0.604289531f,  0.796764810f,
14441     0.605511041f,  0.795836905f,
14442     0.606731127f,  0.794907126f,
14443     0.607949785f,  0.793975478f,
14444     0.609167012f,  0.793041960f,
14445     0.610382806f,  0.792106577f,
14446     0.611597164f,  0.791169330f,
14447     0.612810082f,  0.790230221f,
14448     0.614021559f,  0.789289253f,
14449     0.615231591f,  0.788346428f,
14450     0.616440175f,  0.787401747f,
14451     0.617647308f,  0.786455214f,
14452     0.618852988f,  0.785506830f,
14453     0.620057212f,  0.784556597f,
14454     0.621259977f,  0.783604519f,
14455     0.622461279f,  0.782650596f,
14456     0.623661118f,  0.781694832f,
14457     0.624859488f,  0.780737229f,
14458     0.626056388f,  0.779777788f,
14459     0.627251815f,  0.778816512f,
14460     0.628445767f,  0.777853404f,
14461     0.629638239f,  0.776888466f,
14462     0.630829230f,  0.775921699f,
14463     0.632018736f,  0.774953107f,
14464     0.633206755f,  0.773982691f,
14465     0.634393284f,  0.773010453f,
14466     0.635578320f,  0.772036397f,
14467     0.636761861f,  0.771060524f,
14468     0.637943904f,  0.770082837f,
14469     0.639124445f,  0.769103338f,
14470     0.640303482f,  0.768122029f,
14471     0.641481013f,  0.767138912f,
14472     0.642657034f,  0.766153990f,
14473     0.643831543f,  0.765167266f,
14474     0.645004537f,  0.764178741f,
14475     0.646176013f,  0.763188417f,
14476     0.647345969f,  0.762196298f,
14477     0.648514401f,  0.761202385f,
14478     0.649681307f,  0.760206682f,
14479     0.650846685f,  0.759209189f,
14480     0.652010531f,  0.758209910f,
14481     0.653172843f,  0.757208847f,
14482     0.654333618f,  0.756206001f,
14483     0.655492853f,  0.755201377f,
14484     0.656650546f,  0.754194975f,
14485     0.657806693f,  0.753186799f,
14486     0.658961293f,  0.752176850f,
14487     0.660114342f,  0.751165132f,
14488     0.661265838f,  0.750151646f,
14489     0.662415778f,  0.749136395f,
14490     0.663564159f,  0.748119380f,
14491     0.664710978f,  0.747100606f,
14492     0.665856234f,  0.746080074f,
14493     0.666999922f,  0.745057785f,
14494     0.668142041f,  0.744033744f,
14495     0.669282588f,  0.743007952f,
14496     0.670421560f,  0.741980412f,
14497     0.671558955f,  0.740951125f,
14498     0.672694769f,  0.739920095f,
14499     0.673829000f,  0.738887324f,
14500     0.674961646f,  0.737852815f,
14501     0.676092704f,  0.736816569f,
14502     0.677222170f,  0.735778589f,
14503     0.678350043f,  0.734738878f,
14504     0.679476320f,  0.733697438f,
14505     0.680600998f,  0.732654272f,
14506     0.681724074f,  0.731609381f,
14507     0.682845546f,  0.730562769f,
14508     0.683965412f,  0.729514438f,
14509     0.685083668f,  0.728464390f,
14510     0.686200312f,  0.727412629f,
14511     0.687315341f,  0.726359155f,
14512     0.688428753f,  0.725303972f,
14513     0.689540545f,  0.724247083f,
14514     0.690650714f,  0.723188489f,
14515     0.691759258f,  0.722128194f,
14516     0.692866175f,  0.721066199f,
14517     0.693971461f,  0.720002508f,
14518     0.695075114f,  0.718937122f,
14519     0.696177131f,  0.717870045f,
14520     0.697277511f,  0.716801279f,
14521     0.698376249f,  0.715730825f,
14522     0.699473345f,  0.714658688f,
14523     0.700568794f,  0.713584869f,
14524     0.701662595f,  0.712509371f,
14525     0.702754744f,  0.711432196f,
14526     0.703845241f,  0.710353347f,
14527     0.704934080f,  0.709272826f,
14528     0.706021261f,  0.708190637f,
14529     0.707106781f,  0.707106781f,
14530     0.708190637f,  0.706021261f,
14531     0.709272826f,  0.704934080f,
14532     0.710353347f,  0.703845241f,
14533     0.711432196f,  0.702754744f,
14534     0.712509371f,  0.701662595f,
14535     0.713584869f,  0.700568794f,
14536     0.714658688f,  0.699473345f,
14537     0.715730825f,  0.698376249f,
14538     0.716801279f,  0.697277511f,
14539     0.717870045f,  0.696177131f,
14540     0.718937122f,  0.695075114f,
14541     0.720002508f,  0.693971461f,
14542     0.721066199f,  0.692866175f,
14543     0.722128194f,  0.691759258f,
14544     0.723188489f,  0.690650714f,
14545     0.724247083f,  0.689540545f,
14546     0.725303972f,  0.688428753f,
14547     0.726359155f,  0.687315341f,
14548     0.727412629f,  0.686200312f,
14549     0.728464390f,  0.685083668f,
14550     0.729514438f,  0.683965412f,
14551     0.730562769f,  0.682845546f,
14552     0.731609381f,  0.681724074f,
14553     0.732654272f,  0.680600998f,
14554     0.733697438f,  0.679476320f,
14555     0.734738878f,  0.678350043f,
14556     0.735778589f,  0.677222170f,
14557     0.736816569f,  0.676092704f,
14558     0.737852815f,  0.674961646f,
14559     0.738887324f,  0.673829000f,
14560     0.739920095f,  0.672694769f,
14561     0.740951125f,  0.671558955f,
14562     0.741980412f,  0.670421560f,
14563     0.743007952f,  0.669282588f,
14564     0.744033744f,  0.668142041f,
14565     0.745057785f,  0.666999922f,
14566     0.746080074f,  0.665856234f,
14567     0.747100606f,  0.664710978f,
14568     0.748119380f,  0.663564159f,
14569     0.749136395f,  0.662415778f,
14570     0.750151646f,  0.661265838f,
14571     0.751165132f,  0.660114342f,
14572     0.752176850f,  0.658961293f,
14573     0.753186799f,  0.657806693f,
14574     0.754194975f,  0.656650546f,
14575     0.755201377f,  0.655492853f,
14576     0.756206001f,  0.654333618f,
14577     0.757208847f,  0.653172843f,
14578     0.758209910f,  0.652010531f,
14579     0.759209189f,  0.650846685f,
14580     0.760206682f,  0.649681307f,
14581     0.761202385f,  0.648514401f,
14582     0.762196298f,  0.647345969f,
14583     0.763188417f,  0.646176013f,
14584     0.764178741f,  0.645004537f,
14585     0.765167266f,  0.643831543f,
14586     0.766153990f,  0.642657034f,
14587     0.767138912f,  0.641481013f,
14588     0.768122029f,  0.640303482f,
14589     0.769103338f,  0.639124445f,
14590     0.770082837f,  0.637943904f,
14591     0.771060524f,  0.636761861f,
14592     0.772036397f,  0.635578320f,
14593     0.773010453f,  0.634393284f,
14594     0.773982691f,  0.633206755f,
14595     0.774953107f,  0.632018736f,
14596     0.775921699f,  0.630829230f,
14597     0.776888466f,  0.629638239f,
14598     0.777853404f,  0.628445767f,
14599     0.778816512f,  0.627251815f,
14600     0.779777788f,  0.626056388f,
14601     0.780737229f,  0.624859488f,
14602     0.781694832f,  0.623661118f,
14603     0.782650596f,  0.622461279f,
14604     0.783604519f,  0.621259977f,
14605     0.784556597f,  0.620057212f,
14606     0.785506830f,  0.618852988f,
14607     0.786455214f,  0.617647308f,
14608     0.787401747f,  0.616440175f,
14609     0.788346428f,  0.615231591f,
14610     0.789289253f,  0.614021559f,
14611     0.790230221f,  0.612810082f,
14612     0.791169330f,  0.611597164f,
14613     0.792106577f,  0.610382806f,
14614     0.793041960f,  0.609167012f,
14615     0.793975478f,  0.607949785f,
14616     0.794907126f,  0.606731127f,
14617     0.795836905f,  0.605511041f,
14618     0.796764810f,  0.604289531f,
14619     0.797690841f,  0.603066599f,
14620     0.798614995f,  0.601842247f,
14621     0.799537269f,  0.600616479f,
14622     0.800457662f,  0.599389298f,
14623     0.801376172f,  0.598160707f,
14624     0.802292796f,  0.596930708f,
14625     0.803207531f,  0.595699304f,
14626     0.804120377f,  0.594466499f,
14627     0.805031331f,  0.593232295f,
14628     0.805940391f,  0.591996695f,
14629     0.806847554f,  0.590759702f,
14630     0.807752818f,  0.589521319f,
14631     0.808656182f,  0.588281548f,
14632     0.809557642f,  0.587040394f,
14633     0.810457198f,  0.585797857f,
14634     0.811354847f,  0.584553943f,
14635     0.812250587f,  0.583308653f,
14636     0.813144415f,  0.582061990f,
14637     0.814036330f,  0.580813958f,
14638     0.814926329f,  0.579564559f,
14639     0.815814411f,  0.578313796f,
14640     0.816700573f,  0.577061673f,
14641     0.817584813f,  0.575808191f,
14642     0.818467130f,  0.574553355f,
14643     0.819347520f,  0.573297167f,
14644     0.820225983f,  0.572039629f,
14645     0.821102515f,  0.570780746f,
14646     0.821977115f,  0.569520519f,
14647     0.822849781f,  0.568258953f,
14648     0.823720511f,  0.566996049f,
14649     0.824589303f,  0.565731811f,
14650     0.825456154f,  0.564466242f,
14651     0.826321063f,  0.563199344f,
14652     0.827184027f,  0.561931121f,
14653     0.828045045f,  0.560661576f,
14654     0.828904115f,  0.559390712f,
14655     0.829761234f,  0.558118531f,
14656     0.830616400f,  0.556845037f,
14657     0.831469612f,  0.555570233f,
14658     0.832320868f,  0.554294121f,
14659     0.833170165f,  0.553016706f,
14660     0.834017501f,  0.551737988f,
14661     0.834862875f,  0.550457973f,
14662     0.835706284f,  0.549176662f,
14663     0.836547727f,  0.547894059f,
14664     0.837387202f,  0.546610167f,
14665     0.838224706f,  0.545324988f,
14666     0.839060237f,  0.544038527f,
14667     0.839893794f,  0.542750785f,
14668     0.840725375f,  0.541461766f,
14669     0.841554977f,  0.540171473f,
14670     0.842382600f,  0.538879909f,
14671     0.843208240f,  0.537587076f,
14672     0.844031895f,  0.536292979f,
14673     0.844853565f,  0.534997620f,
14674     0.845673247f,  0.533701002f,
14675     0.846490939f,  0.532403128f,
14676     0.847306639f,  0.531104001f,
14677     0.848120345f,  0.529803625f,
14678     0.848932055f,  0.528502002f,
14679     0.849741768f,  0.527199135f,
14680     0.850549481f,  0.525895027f,
14681     0.851355193f,  0.524589683f,
14682     0.852158902f,  0.523283103f,
14683     0.852960605f,  0.521975293f,
14684     0.853760301f,  0.520666254f,
14685     0.854557988f,  0.519355990f,
14686     0.855353665f,  0.518044504f,
14687     0.856147328f,  0.516731799f,
14688     0.856938977f,  0.515417878f,
14689     0.857728610f,  0.514102744f,
14690     0.858516224f,  0.512786401f,
14691     0.859301818f,  0.511468850f,
14692     0.860085390f,  0.510150097f,
14693     0.860866939f,  0.508830143f,
14694     0.861646461f,  0.507508991f,
14695     0.862423956f,  0.506186645f,
14696     0.863199422f,  0.504863109f,
14697     0.863972856f,  0.503538384f,
14698     0.864744258f,  0.502212474f,
14699     0.865513624f,  0.500885383f,
14700     0.866280954f,  0.499557113f,
14701     0.867046246f,  0.498227667f,
14702     0.867809497f,  0.496897049f,
14703     0.868570706f,  0.495565262f,
14704     0.869329871f,  0.494232309f,
14705     0.870086991f,  0.492898192f,
14706     0.870842063f,  0.491562916f,
14707     0.871595087f,  0.490226483f,
14708     0.872346059f,  0.488888897f,
14709     0.873094978f,  0.487550160f,
14710     0.873841843f,  0.486210276f,
14711     0.874586652f,  0.484869248f,
14712     0.875329403f,  0.483527079f,
14713     0.876070094f,  0.482183772f,
14714     0.876808724f,  0.480839331f,
14715     0.877545290f,  0.479493758f,
14716     0.878279792f,  0.478147056f,
14717     0.879012226f,  0.476799230f,
14718     0.879742593f,  0.475450282f,
14719     0.880470889f,  0.474100215f,
14720     0.881197113f,  0.472749032f,
14721     0.881921264f,  0.471396737f,
14722     0.882643340f,  0.470043332f,
14723     0.883363339f,  0.468688822f,
14724     0.884081259f,  0.467333209f,
14725     0.884797098f,  0.465976496f,
14726     0.885510856f,  0.464618686f,
14727     0.886222530f,  0.463259784f,
14728     0.886932119f,  0.461899791f,
14729     0.887639620f,  0.460538711f,
14730     0.888345033f,  0.459176548f,
14731     0.889048356f,  0.457813304f,
14732     0.889749586f,  0.456448982f,
14733     0.890448723f,  0.455083587f,
14734     0.891145765f,  0.453717121f,
14735     0.891840709f,  0.452349587f,
14736     0.892533555f,  0.450980989f,
14737     0.893224301f,  0.449611330f,
14738     0.893912945f,  0.448240612f,
14739     0.894599486f,  0.446868840f,
14740     0.895283921f,  0.445496017f,
14741     0.895966250f,  0.444122145f,
14742     0.896646470f,  0.442747228f,
14743     0.897324581f,  0.441371269f,
14744     0.898000580f,  0.439994271f,
14745     0.898674466f,  0.438616239f,
14746     0.899346237f,  0.437237174f,
14747     0.900015892f,  0.435857080f,
14748     0.900683429f,  0.434475961f,
14749     0.901348847f,  0.433093819f,
14750     0.902012144f,  0.431710658f,
14751     0.902673318f,  0.430326481f,
14752     0.903332368f,  0.428941292f,
14753     0.903989293f,  0.427555093f,
14754     0.904644091f,  0.426167889f,
14755     0.905296759f,  0.424779681f,
14756     0.905947298f,  0.423390474f,
14757     0.906595705f,  0.422000271f,
14758     0.907241978f,  0.420609074f,
14759     0.907886116f,  0.419216888f,
14760     0.908528119f,  0.417823716f,
14761     0.909167983f,  0.416429560f,
14762     0.909805708f,  0.415034424f,
14763     0.910441292f,  0.413638312f,
14764     0.911074734f,  0.412241227f,
14765     0.911706032f,  0.410843171f,
14766     0.912335185f,  0.409444149f,
14767     0.912962190f,  0.408044163f,
14768     0.913587048f,  0.406643217f,
14769     0.914209756f,  0.405241314f,
14770     0.914830312f,  0.403838458f,
14771     0.915448716f,  0.402434651f,
14772     0.916064966f,  0.401029897f,
14773     0.916679060f,  0.399624200f,
14774     0.917290997f,  0.398217562f,
14775     0.917900776f,  0.396809987f,
14776     0.918508394f,  0.395401479f,
14777     0.919113852f,  0.393992040f,
14778     0.919717146f,  0.392581674f,
14779     0.920318277f,  0.391170384f,
14780     0.920917242f,  0.389758174f,
14781     0.921514039f,  0.388345047f,
14782     0.922108669f,  0.386931006f,
14783     0.922701128f,  0.385516054f,
14784     0.923291417f,  0.384100195f,
14785     0.923879533f,  0.382683432f,
14786     0.924465474f,  0.381265769f,
14787     0.925049241f,  0.379847209f,
14788     0.925630831f,  0.378427755f,
14789     0.926210242f,  0.377007410f,
14790     0.926787474f,  0.375586178f,
14791     0.927362526f,  0.374164063f,
14792     0.927935395f,  0.372741067f,
14793     0.928506080f,  0.371317194f,
14794     0.929074581f,  0.369892447f,
14795     0.929640896f,  0.368466830f,
14796     0.930205023f,  0.367040346f,
14797     0.930766961f,  0.365612998f,
14798     0.931326709f,  0.364184790f,
14799     0.931884266f,  0.362755724f,
14800     0.932439629f,  0.361325806f,
14801     0.932992799f,  0.359895037f,
14802     0.933543773f,  0.358463421f,
14803     0.934092550f,  0.357030961f,
14804     0.934639130f,  0.355597662f,
14805     0.935183510f,  0.354163525f,
14806     0.935725689f,  0.352728556f,
14807     0.936265667f,  0.351292756f,
14808     0.936803442f,  0.349856130f,
14809     0.937339012f,  0.348418680f,
14810     0.937872376f,  0.346980411f,
14811     0.938403534f,  0.345541325f,
14812     0.938932484f,  0.344101426f,
14813     0.939459224f,  0.342660717f,
14814     0.939983753f,  0.341219202f,
14815     0.940506071f,  0.339776884f,
14816     0.941026175f,  0.338333767f,
14817     0.941544065f,  0.336889853f,
14818     0.942059740f,  0.335445147f,
14819     0.942573198f,  0.333999651f,
14820     0.943084437f,  0.332553370f,
14821     0.943593458f,  0.331106306f,
14822     0.944100258f,  0.329658463f,
14823     0.944604837f,  0.328209844f,
14824     0.945107193f,  0.326760452f,
14825     0.945607325f,  0.325310292f,
14826     0.946105232f,  0.323859367f,
14827     0.946600913f,  0.322407679f,
14828     0.947094366f,  0.320955232f,
14829     0.947585591f,  0.319502031f,
14830     0.948074586f,  0.318048077f,
14831     0.948561350f,  0.316593376f,
14832     0.949045882f,  0.315137929f,
14833     0.949528181f,  0.313681740f,
14834     0.950008245f,  0.312224814f,
14835     0.950486074f,  0.310767153f,
14836     0.950961666f,  0.309308760f,
14837     0.951435021f,  0.307849640f,
14838     0.951906137f,  0.306389795f,
14839     0.952375013f,  0.304929230f,
14840     0.952841648f,  0.303467947f,
14841     0.953306040f,  0.302005949f,
14842     0.953768190f,  0.300543241f,
14843     0.954228095f,  0.299079826f,
14844     0.954685755f,  0.297615707f,
14845     0.955141168f,  0.296150888f,
14846     0.955594334f,  0.294685372f,
14847     0.956045251f,  0.293219163f,
14848     0.956493919f,  0.291752263f,
14849     0.956940336f,  0.290284677f,
14850     0.957384501f,  0.288816408f,
14851     0.957826413f,  0.287347460f,
14852     0.958266071f,  0.285877835f,
14853     0.958703475f,  0.284407537f,
14854     0.959138622f,  0.282936570f,
14855     0.959571513f,  0.281464938f,
14856     0.960002146f,  0.279992643f,
14857     0.960430519f,  0.278519689f,
14858     0.960856633f,  0.277046080f,
14859     0.961280486f,  0.275571819f,
14860     0.961702077f,  0.274096910f,
14861     0.962121404f,  0.272621355f,
14862     0.962538468f,  0.271145160f,
14863     0.962953267f,  0.269668326f,
14864     0.963365800f,  0.268190857f,
14865     0.963776066f,  0.266712757f,
14866     0.964184064f,  0.265234030f,
14867     0.964589793f,  0.263754679f,
14868     0.964993253f,  0.262274707f,
14869     0.965394442f,  0.260794118f,
14870     0.965793359f,  0.259312915f,
14871     0.966190003f,  0.257831102f,
14872     0.966584374f,  0.256348682f,
14873     0.966976471f,  0.254865660f,
14874     0.967366292f,  0.253382037f,
14875     0.967753837f,  0.251897818f,
14876     0.968139105f,  0.250413007f,
14877     0.968522094f,  0.248927606f,
14878     0.968902805f,  0.247441619f,
14879     0.969281235f,  0.245955050f,
14880     0.969657385f,  0.244467903f,
14881     0.970031253f,  0.242980180f,
14882     0.970402839f,  0.241491885f,
14883     0.970772141f,  0.240003022f,
14884     0.971139158f,  0.238513595f,
14885     0.971503891f,  0.237023606f,
14886     0.971866337f,  0.235533059f,
14887     0.972226497f,  0.234041959f,
14888     0.972584369f,  0.232550307f,
14889     0.972939952f,  0.231058108f,
14890     0.973293246f,  0.229565366f,
14891     0.973644250f,  0.228072083f,
14892     0.973992962f,  0.226578264f,
14893     0.974339383f,  0.225083911f,
14894     0.974683511f,  0.223589029f,
14895     0.975025345f,  0.222093621f,
14896     0.975364885f,  0.220597690f,
14897     0.975702130f,  0.219101240f,
14898     0.976037079f,  0.217604275f,
14899     0.976369731f,  0.216106797f,
14900     0.976700086f,  0.214608811f,
14901     0.977028143f,  0.213110320f,
14902     0.977353900f,  0.211611327f,
14903     0.977677358f,  0.210111837f,
14904     0.977998515f,  0.208611852f,
14905     0.978317371f,  0.207111376f,
14906     0.978633924f,  0.205610413f,
14907     0.978948175f,  0.204108966f,
14908     0.979260123f,  0.202607039f,
14909     0.979569766f,  0.201104635f,
14910     0.979877104f,  0.199601758f,
14911     0.980182136f,  0.198098411f,
14912     0.980484862f,  0.196594598f,
14913     0.980785280f,  0.195090322f,
14914     0.981083391f,  0.193585587f,
14915     0.981379193f,  0.192080397f,
14916     0.981672686f,  0.190574755f,
14917     0.981963869f,  0.189068664f,
14918     0.982252741f,  0.187562129f,
14919     0.982539302f,  0.186055152f,
14920     0.982823551f,  0.184547737f,
14921     0.983105487f,  0.183039888f,
14922     0.983385110f,  0.181531608f,
14923     0.983662419f,  0.180022901f,
14924     0.983937413f,  0.178513771f,
14925     0.984210092f,  0.177004220f,
14926     0.984480455f,  0.175494253f,
14927     0.984748502f,  0.173983873f,
14928     0.985014231f,  0.172473084f,
14929     0.985277642f,  0.170961889f,
14930     0.985538735f,  0.169450291f,
14931     0.985797509f,  0.167938295f,
14932     0.986053963f,  0.166425904f,
14933     0.986308097f,  0.164913120f,
14934     0.986559910f,  0.163399949f,
14935     0.986809402f,  0.161886394f,
14936     0.987056571f,  0.160372457f,
14937     0.987301418f,  0.158858143f,
14938     0.987543942f,  0.157343456f,
14939     0.987784142f,  0.155828398f,
14940     0.988022017f,  0.154312973f,
14941     0.988257568f,  0.152797185f,
14942     0.988490793f,  0.151281038f,
14943     0.988721692f,  0.149764535f,
14944     0.988950265f,  0.148247679f,
14945     0.989176510f,  0.146730474f,
14946     0.989400428f,  0.145212925f,
14947     0.989622017f,  0.143695033f,
14948     0.989841278f,  0.142176804f,
14949     0.990058210f,  0.140658239f,
14950     0.990272812f,  0.139139344f,
14951     0.990485084f,  0.137620122f,
14952     0.990695025f,  0.136100575f,
14953     0.990902635f,  0.134580709f,
14954     0.991107914f,  0.133060525f,
14955     0.991310860f,  0.131540029f,
14956     0.991511473f,  0.130019223f,
14957     0.991709754f,  0.128498111f,
14958     0.991905700f,  0.126976696f,
14959     0.992099313f,  0.125454983f,
14960     0.992290591f,  0.123932975f,
14961     0.992479535f,  0.122410675f,
14962     0.992666142f,  0.120888087f,
14963     0.992850414f,  0.119365215f,
14964     0.993032350f,  0.117842062f,
14965     0.993211949f,  0.116318631f,
14966     0.993389211f,  0.114794927f,
14967     0.993564136f,  0.113270952f,
14968     0.993736722f,  0.111746711f,
14969     0.993906970f,  0.110222207f,
14970     0.994074879f,  0.108697444f,
14971     0.994240449f,  0.107172425f,
14972     0.994403680f,  0.105647154f,
14973     0.994564571f,  0.104121634f,
14974     0.994723121f,  0.102595869f,
14975     0.994879331f,  0.101069863f,
14976     0.995033199f,  0.099543619f,
14977     0.995184727f,  0.098017140f,
14978     0.995333912f,  0.096490431f,
14979     0.995480755f,  0.094963495f,
14980     0.995625256f,  0.093436336f,
14981     0.995767414f,  0.091908956f,
14982     0.995907229f,  0.090381361f,
14983     0.996044701f,  0.088853553f,
14984     0.996179829f,  0.087325535f,
14985     0.996312612f,  0.085797312f,
14986     0.996443051f,  0.084268888f,
14987     0.996571146f,  0.082740265f,
14988     0.996696895f,  0.081211447f,
14989     0.996820299f,  0.079682438f,
14990     0.996941358f,  0.078153242f,
14991     0.997060070f,  0.076623861f,
14992     0.997176437f,  0.075094301f,
14993     0.997290457f,  0.073564564f,
14994     0.997402130f,  0.072034653f,
14995     0.997511456f,  0.070504573f,
14996     0.997618435f,  0.068974328f,
14997     0.997723067f,  0.067443920f,
14998     0.997825350f,  0.065913353f,
14999     0.997925286f,  0.064382631f,
15000     0.998022874f,  0.062851758f,
15001     0.998118113f,  0.061320736f,
15002     0.998211003f,  0.059789571f,
15003     0.998301545f,  0.058258265f,
15004     0.998389737f,  0.056726821f,
15005     0.998475581f,  0.055195244f,
15006     0.998559074f,  0.053663538f,
15007     0.998640218f,  0.052131705f,
15008     0.998719012f,  0.050599749f,
15009     0.998795456f,  0.049067674f,
15010     0.998869550f,  0.047535484f,
15011     0.998941293f,  0.046003182f,
15012     0.999010686f,  0.044470772f,
15013     0.999077728f,  0.042938257f,
15014     0.999142419f,  0.041405641f,
15015     0.999204759f,  0.039872928f,
15016     0.999264747f,  0.038340120f,
15017     0.999322385f,  0.036807223f,
15018     0.999377670f,  0.035274239f,
15019     0.999430605f,  0.033741172f,
15020     0.999481187f,  0.032208025f,
15021     0.999529418f,  0.030674803f,
15022     0.999575296f,  0.029141509f,
15023     0.999618822f,  0.027608146f,
15024     0.999659997f,  0.026074718f,
15025     0.999698819f,  0.024541229f,
15026     0.999735288f,  0.023007681f,
15027     0.999769405f,  0.021474080f,
15028     0.999801170f,  0.019940429f,
15029     0.999830582f,  0.018406730f,
15030     0.999857641f,  0.016872988f,
15031     0.999882347f,  0.015339206f,
15032     0.999904701f,  0.013805389f,
15033     0.999924702f,  0.012271538f,
15034     0.999942350f,  0.010737659f,
15035     0.999957645f,  0.009203755f,
15036     0.999970586f,  0.007669829f,
15037     0.999981175f,  0.006135885f,
15038     0.999989411f,  0.004601926f,
15039     0.999995294f,  0.003067957f,
15040     0.999998823f,  0.001533980f,
15041     1.000000000f,  0.000000000f,
15042     0.999998823f, -0.001533980f,
15043     0.999995294f, -0.003067957f,
15044     0.999989411f, -0.004601926f,
15045     0.999981175f, -0.006135885f,
15046     0.999970586f, -0.007669829f,
15047     0.999957645f, -0.009203755f,
15048     0.999942350f, -0.010737659f,
15049     0.999924702f, -0.012271538f,
15050     0.999904701f, -0.013805389f,
15051     0.999882347f, -0.015339206f,
15052     0.999857641f, -0.016872988f,
15053     0.999830582f, -0.018406730f,
15054     0.999801170f, -0.019940429f,
15055     0.999769405f, -0.021474080f,
15056     0.999735288f, -0.023007681f,
15057     0.999698819f, -0.024541229f,
15058     0.999659997f, -0.026074718f,
15059     0.999618822f, -0.027608146f,
15060     0.999575296f, -0.029141509f,
15061     0.999529418f, -0.030674803f,
15062     0.999481187f, -0.032208025f,
15063     0.999430605f, -0.033741172f,
15064     0.999377670f, -0.035274239f,
15065     0.999322385f, -0.036807223f,
15066     0.999264747f, -0.038340120f,
15067     0.999204759f, -0.039872928f,
15068     0.999142419f, -0.041405641f,
15069     0.999077728f, -0.042938257f,
15070     0.999010686f, -0.044470772f,
15071     0.998941293f, -0.046003182f,
15072     0.998869550f, -0.047535484f,
15073     0.998795456f, -0.049067674f,
15074     0.998719012f, -0.050599749f,
15075     0.998640218f, -0.052131705f,
15076     0.998559074f, -0.053663538f,
15077     0.998475581f, -0.055195244f,
15078     0.998389737f, -0.056726821f,
15079     0.998301545f, -0.058258265f,
15080     0.998211003f, -0.059789571f,
15081     0.998118113f, -0.061320736f,
15082     0.998022874f, -0.062851758f,
15083     0.997925286f, -0.064382631f,
15084     0.997825350f, -0.065913353f,
15085     0.997723067f, -0.067443920f,
15086     0.997618435f, -0.068974328f,
15087     0.997511456f, -0.070504573f,
15088     0.997402130f, -0.072034653f,
15089     0.997290457f, -0.073564564f,
15090     0.997176437f, -0.075094301f,
15091     0.997060070f, -0.076623861f,
15092     0.996941358f, -0.078153242f,
15093     0.996820299f, -0.079682438f,
15094     0.996696895f, -0.081211447f,
15095     0.996571146f, -0.082740265f,
15096     0.996443051f, -0.084268888f,
15097     0.996312612f, -0.085797312f,
15098     0.996179829f, -0.087325535f,
15099     0.996044701f, -0.088853553f,
15100     0.995907229f, -0.090381361f,
15101     0.995767414f, -0.091908956f,
15102     0.995625256f, -0.093436336f,
15103     0.995480755f, -0.094963495f,
15104     0.995333912f, -0.096490431f,
15105     0.995184727f, -0.098017140f,
15106     0.995033199f, -0.099543619f,
15107     0.994879331f, -0.101069863f,
15108     0.994723121f, -0.102595869f,
15109     0.994564571f, -0.104121634f,
15110     0.994403680f, -0.105647154f,
15111     0.994240449f, -0.107172425f,
15112     0.994074879f, -0.108697444f,
15113     0.993906970f, -0.110222207f,
15114     0.993736722f, -0.111746711f,
15115     0.993564136f, -0.113270952f,
15116     0.993389211f, -0.114794927f,
15117     0.993211949f, -0.116318631f,
15118     0.993032350f, -0.117842062f,
15119     0.992850414f, -0.119365215f,
15120     0.992666142f, -0.120888087f,
15121     0.992479535f, -0.122410675f,
15122     0.992290591f, -0.123932975f,
15123     0.992099313f, -0.125454983f,
15124     0.991905700f, -0.126976696f,
15125     0.991709754f, -0.128498111f,
15126     0.991511473f, -0.130019223f,
15127     0.991310860f, -0.131540029f,
15128     0.991107914f, -0.133060525f,
15129     0.990902635f, -0.134580709f,
15130     0.990695025f, -0.136100575f,
15131     0.990485084f, -0.137620122f,
15132     0.990272812f, -0.139139344f,
15133     0.990058210f, -0.140658239f,
15134     0.989841278f, -0.142176804f,
15135     0.989622017f, -0.143695033f,
15136     0.989400428f, -0.145212925f,
15137     0.989176510f, -0.146730474f,
15138     0.988950265f, -0.148247679f,
15139     0.988721692f, -0.149764535f,
15140     0.988490793f, -0.151281038f,
15141     0.988257568f, -0.152797185f,
15142     0.988022017f, -0.154312973f,
15143     0.987784142f, -0.155828398f,
15144     0.987543942f, -0.157343456f,
15145     0.987301418f, -0.158858143f,
15146     0.987056571f, -0.160372457f,
15147     0.986809402f, -0.161886394f,
15148     0.986559910f, -0.163399949f,
15149     0.986308097f, -0.164913120f,
15150     0.986053963f, -0.166425904f,
15151     0.985797509f, -0.167938295f,
15152     0.985538735f, -0.169450291f,
15153     0.985277642f, -0.170961889f,
15154     0.985014231f, -0.172473084f,
15155     0.984748502f, -0.173983873f,
15156     0.984480455f, -0.175494253f,
15157     0.984210092f, -0.177004220f,
15158     0.983937413f, -0.178513771f,
15159     0.983662419f, -0.180022901f,
15160     0.983385110f, -0.181531608f,
15161     0.983105487f, -0.183039888f,
15162     0.982823551f, -0.184547737f,
15163     0.982539302f, -0.186055152f,
15164     0.982252741f, -0.187562129f,
15165     0.981963869f, -0.189068664f,
15166     0.981672686f, -0.190574755f,
15167     0.981379193f, -0.192080397f,
15168     0.981083391f, -0.193585587f,
15169     0.980785280f, -0.195090322f,
15170     0.980484862f, -0.196594598f,
15171     0.980182136f, -0.198098411f,
15172     0.979877104f, -0.199601758f,
15173     0.979569766f, -0.201104635f,
15174     0.979260123f, -0.202607039f,
15175     0.978948175f, -0.204108966f,
15176     0.978633924f, -0.205610413f,
15177     0.978317371f, -0.207111376f,
15178     0.977998515f, -0.208611852f,
15179     0.977677358f, -0.210111837f,
15180     0.977353900f, -0.211611327f,
15181     0.977028143f, -0.213110320f,
15182     0.976700086f, -0.214608811f,
15183     0.976369731f, -0.216106797f,
15184     0.976037079f, -0.217604275f,
15185     0.975702130f, -0.219101240f,
15186     0.975364885f, -0.220597690f,
15187     0.975025345f, -0.222093621f,
15188     0.974683511f, -0.223589029f,
15189     0.974339383f, -0.225083911f,
15190     0.973992962f, -0.226578264f,
15191     0.973644250f, -0.228072083f,
15192     0.973293246f, -0.229565366f,
15193     0.972939952f, -0.231058108f,
15194     0.972584369f, -0.232550307f,
15195     0.972226497f, -0.234041959f,
15196     0.971866337f, -0.235533059f,
15197     0.971503891f, -0.237023606f,
15198     0.971139158f, -0.238513595f,
15199     0.970772141f, -0.240003022f,
15200     0.970402839f, -0.241491885f,
15201     0.970031253f, -0.242980180f,
15202     0.969657385f, -0.244467903f,
15203     0.969281235f, -0.245955050f,
15204     0.968902805f, -0.247441619f,
15205     0.968522094f, -0.248927606f,
15206     0.968139105f, -0.250413007f,
15207     0.967753837f, -0.251897818f,
15208     0.967366292f, -0.253382037f,
15209     0.966976471f, -0.254865660f,
15210     0.966584374f, -0.256348682f,
15211     0.966190003f, -0.257831102f,
15212     0.965793359f, -0.259312915f,
15213     0.965394442f, -0.260794118f,
15214     0.964993253f, -0.262274707f,
15215     0.964589793f, -0.263754679f,
15216     0.964184064f, -0.265234030f,
15217     0.963776066f, -0.266712757f,
15218     0.963365800f, -0.268190857f,
15219     0.962953267f, -0.269668326f,
15220     0.962538468f, -0.271145160f,
15221     0.962121404f, -0.272621355f,
15222     0.961702077f, -0.274096910f,
15223     0.961280486f, -0.275571819f,
15224     0.960856633f, -0.277046080f,
15225     0.960430519f, -0.278519689f,
15226     0.960002146f, -0.279992643f,
15227     0.959571513f, -0.281464938f,
15228     0.959138622f, -0.282936570f,
15229     0.958703475f, -0.284407537f,
15230     0.958266071f, -0.285877835f,
15231     0.957826413f, -0.287347460f,
15232     0.957384501f, -0.288816408f,
15233     0.956940336f, -0.290284677f,
15234     0.956493919f, -0.291752263f,
15235     0.956045251f, -0.293219163f,
15236     0.955594334f, -0.294685372f,
15237     0.955141168f, -0.296150888f,
15238     0.954685755f, -0.297615707f,
15239     0.954228095f, -0.299079826f,
15240     0.953768190f, -0.300543241f,
15241     0.953306040f, -0.302005949f,
15242     0.952841648f, -0.303467947f,
15243     0.952375013f, -0.304929230f,
15244     0.951906137f, -0.306389795f,
15245     0.951435021f, -0.307849640f,
15246     0.950961666f, -0.309308760f,
15247     0.950486074f, -0.310767153f,
15248     0.950008245f, -0.312224814f,
15249     0.949528181f, -0.313681740f,
15250     0.949045882f, -0.315137929f,
15251     0.948561350f, -0.316593376f,
15252     0.948074586f, -0.318048077f,
15253     0.947585591f, -0.319502031f,
15254     0.947094366f, -0.320955232f,
15255     0.946600913f, -0.322407679f,
15256     0.946105232f, -0.323859367f,
15257     0.945607325f, -0.325310292f,
15258     0.945107193f, -0.326760452f,
15259     0.944604837f, -0.328209844f,
15260     0.944100258f, -0.329658463f,
15261     0.943593458f, -0.331106306f,
15262     0.943084437f, -0.332553370f,
15263     0.942573198f, -0.333999651f,
15264     0.942059740f, -0.335445147f,
15265     0.941544065f, -0.336889853f,
15266     0.941026175f, -0.338333767f,
15267     0.940506071f, -0.339776884f,
15268     0.939983753f, -0.341219202f,
15269     0.939459224f, -0.342660717f,
15270     0.938932484f, -0.344101426f,
15271     0.938403534f, -0.345541325f,
15272     0.937872376f, -0.346980411f,
15273     0.937339012f, -0.348418680f,
15274     0.936803442f, -0.349856130f,
15275     0.936265667f, -0.351292756f,
15276     0.935725689f, -0.352728556f,
15277     0.935183510f, -0.354163525f,
15278     0.934639130f, -0.355597662f,
15279     0.934092550f, -0.357030961f,
15280     0.933543773f, -0.358463421f,
15281     0.932992799f, -0.359895037f,
15282     0.932439629f, -0.361325806f,
15283     0.931884266f, -0.362755724f,
15284     0.931326709f, -0.364184790f,
15285     0.930766961f, -0.365612998f,
15286     0.930205023f, -0.367040346f,
15287     0.929640896f, -0.368466830f,
15288     0.929074581f, -0.369892447f,
15289     0.928506080f, -0.371317194f,
15290     0.927935395f, -0.372741067f,
15291     0.927362526f, -0.374164063f,
15292     0.926787474f, -0.375586178f,
15293     0.926210242f, -0.377007410f,
15294     0.925630831f, -0.378427755f,
15295     0.925049241f, -0.379847209f,
15296     0.924465474f, -0.381265769f,
15297     0.923879533f, -0.382683432f,
15298     0.923291417f, -0.384100195f,
15299     0.922701128f, -0.385516054f,
15300     0.922108669f, -0.386931006f,
15301     0.921514039f, -0.388345047f,
15302     0.920917242f, -0.389758174f,
15303     0.920318277f, -0.391170384f,
15304     0.919717146f, -0.392581674f,
15305     0.919113852f, -0.393992040f,
15306     0.918508394f, -0.395401479f,
15307     0.917900776f, -0.396809987f,
15308     0.917290997f, -0.398217562f,
15309     0.916679060f, -0.399624200f,
15310     0.916064966f, -0.401029897f,
15311     0.915448716f, -0.402434651f,
15312     0.914830312f, -0.403838458f,
15313     0.914209756f, -0.405241314f,
15314     0.913587048f, -0.406643217f,
15315     0.912962190f, -0.408044163f,
15316     0.912335185f, -0.409444149f,
15317     0.911706032f, -0.410843171f,
15318     0.911074734f, -0.412241227f,
15319     0.910441292f, -0.413638312f,
15320     0.909805708f, -0.415034424f,
15321     0.909167983f, -0.416429560f,
15322     0.908528119f, -0.417823716f,
15323     0.907886116f, -0.419216888f,
15324     0.907241978f, -0.420609074f,
15325     0.906595705f, -0.422000271f,
15326     0.905947298f, -0.423390474f,
15327     0.905296759f, -0.424779681f,
15328     0.904644091f, -0.426167889f,
15329     0.903989293f, -0.427555093f,
15330     0.903332368f, -0.428941292f,
15331     0.902673318f, -0.430326481f,
15332     0.902012144f, -0.431710658f,
15333     0.901348847f, -0.433093819f,
15334     0.900683429f, -0.434475961f,
15335     0.900015892f, -0.435857080f,
15336     0.899346237f, -0.437237174f,
15337     0.898674466f, -0.438616239f,
15338     0.898000580f, -0.439994271f,
15339     0.897324581f, -0.441371269f,
15340     0.896646470f, -0.442747228f,
15341     0.895966250f, -0.444122145f,
15342     0.895283921f, -0.445496017f,
15343     0.894599486f, -0.446868840f,
15344     0.893912945f, -0.448240612f,
15345     0.893224301f, -0.449611330f,
15346     0.892533555f, -0.450980989f,
15347     0.891840709f, -0.452349587f,
15348     0.891145765f, -0.453717121f,
15349     0.890448723f, -0.455083587f,
15350     0.889749586f, -0.456448982f,
15351     0.889048356f, -0.457813304f,
15352     0.888345033f, -0.459176548f,
15353     0.887639620f, -0.460538711f,
15354     0.886932119f, -0.461899791f,
15355     0.886222530f, -0.463259784f,
15356     0.885510856f, -0.464618686f,
15357     0.884797098f, -0.465976496f,
15358     0.884081259f, -0.467333209f,
15359     0.883363339f, -0.468688822f,
15360     0.882643340f, -0.470043332f,
15361     0.881921264f, -0.471396737f,
15362     0.881197113f, -0.472749032f,
15363     0.880470889f, -0.474100215f,
15364     0.879742593f, -0.475450282f,
15365     0.879012226f, -0.476799230f,
15366     0.878279792f, -0.478147056f,
15367     0.877545290f, -0.479493758f,
15368     0.876808724f, -0.480839331f,
15369     0.876070094f, -0.482183772f,
15370     0.875329403f, -0.483527079f,
15371     0.874586652f, -0.484869248f,
15372     0.873841843f, -0.486210276f,
15373     0.873094978f, -0.487550160f,
15374     0.872346059f, -0.488888897f,
15375     0.871595087f, -0.490226483f,
15376     0.870842063f, -0.491562916f,
15377     0.870086991f, -0.492898192f,
15378     0.869329871f, -0.494232309f,
15379     0.868570706f, -0.495565262f,
15380     0.867809497f, -0.496897049f,
15381     0.867046246f, -0.498227667f,
15382     0.866280954f, -0.499557113f,
15383     0.865513624f, -0.500885383f,
15384     0.864744258f, -0.502212474f,
15385     0.863972856f, -0.503538384f,
15386     0.863199422f, -0.504863109f,
15387     0.862423956f, -0.506186645f,
15388     0.861646461f, -0.507508991f,
15389     0.860866939f, -0.508830143f,
15390     0.860085390f, -0.510150097f,
15391     0.859301818f, -0.511468850f,
15392     0.858516224f, -0.512786401f,
15393     0.857728610f, -0.514102744f,
15394     0.856938977f, -0.515417878f,
15395     0.856147328f, -0.516731799f,
15396     0.855353665f, -0.518044504f,
15397     0.854557988f, -0.519355990f,
15398     0.853760301f, -0.520666254f,
15399     0.852960605f, -0.521975293f,
15400     0.852158902f, -0.523283103f,
15401     0.851355193f, -0.524589683f,
15402     0.850549481f, -0.525895027f,
15403     0.849741768f, -0.527199135f,
15404     0.848932055f, -0.528502002f,
15405     0.848120345f, -0.529803625f,
15406     0.847306639f, -0.531104001f,
15407     0.846490939f, -0.532403128f,
15408     0.845673247f, -0.533701002f,
15409     0.844853565f, -0.534997620f,
15410     0.844031895f, -0.536292979f,
15411     0.843208240f, -0.537587076f,
15412     0.842382600f, -0.538879909f,
15413     0.841554977f, -0.540171473f,
15414     0.840725375f, -0.541461766f,
15415     0.839893794f, -0.542750785f,
15416     0.839060237f, -0.544038527f,
15417     0.838224706f, -0.545324988f,
15418     0.837387202f, -0.546610167f,
15419     0.836547727f, -0.547894059f,
15420     0.835706284f, -0.549176662f,
15421     0.834862875f, -0.550457973f,
15422     0.834017501f, -0.551737988f,
15423     0.833170165f, -0.553016706f,
15424     0.832320868f, -0.554294121f,
15425     0.831469612f, -0.555570233f,
15426     0.830616400f, -0.556845037f,
15427     0.829761234f, -0.558118531f,
15428     0.828904115f, -0.559390712f,
15429     0.828045045f, -0.560661576f,
15430     0.827184027f, -0.561931121f,
15431     0.826321063f, -0.563199344f,
15432     0.825456154f, -0.564466242f,
15433     0.824589303f, -0.565731811f,
15434     0.823720511f, -0.566996049f,
15435     0.822849781f, -0.568258953f,
15436     0.821977115f, -0.569520519f,
15437     0.821102515f, -0.570780746f,
15438     0.820225983f, -0.572039629f,
15439     0.819347520f, -0.573297167f,
15440     0.818467130f, -0.574553355f,
15441     0.817584813f, -0.575808191f,
15442     0.816700573f, -0.577061673f,
15443     0.815814411f, -0.578313796f,
15444     0.814926329f, -0.579564559f,
15445     0.814036330f, -0.580813958f,
15446     0.813144415f, -0.582061990f,
15447     0.812250587f, -0.583308653f,
15448     0.811354847f, -0.584553943f,
15449     0.810457198f, -0.585797857f,
15450     0.809557642f, -0.587040394f,
15451     0.808656182f, -0.588281548f,
15452     0.807752818f, -0.589521319f,
15453     0.806847554f, -0.590759702f,
15454     0.805940391f, -0.591996695f,
15455     0.805031331f, -0.593232295f,
15456     0.804120377f, -0.594466499f,
15457     0.803207531f, -0.595699304f,
15458     0.802292796f, -0.596930708f,
15459     0.801376172f, -0.598160707f,
15460     0.800457662f, -0.599389298f,
15461     0.799537269f, -0.600616479f,
15462     0.798614995f, -0.601842247f,
15463     0.797690841f, -0.603066599f,
15464     0.796764810f, -0.604289531f,
15465     0.795836905f, -0.605511041f,
15466     0.794907126f, -0.606731127f,
15467     0.793975478f, -0.607949785f,
15468     0.793041960f, -0.609167012f,
15469     0.792106577f, -0.610382806f,
15470     0.791169330f, -0.611597164f,
15471     0.790230221f, -0.612810082f,
15472     0.789289253f, -0.614021559f,
15473     0.788346428f, -0.615231591f,
15474     0.787401747f, -0.616440175f,
15475     0.786455214f, -0.617647308f,
15476     0.785506830f, -0.618852988f,
15477     0.784556597f, -0.620057212f,
15478     0.783604519f, -0.621259977f,
15479     0.782650596f, -0.622461279f,
15480     0.781694832f, -0.623661118f,
15481     0.780737229f, -0.624859488f,
15482     0.779777788f, -0.626056388f,
15483     0.778816512f, -0.627251815f,
15484     0.777853404f, -0.628445767f,
15485     0.776888466f, -0.629638239f,
15486     0.775921699f, -0.630829230f,
15487     0.774953107f, -0.632018736f,
15488     0.773982691f, -0.633206755f,
15489     0.773010453f, -0.634393284f,
15490     0.772036397f, -0.635578320f,
15491     0.771060524f, -0.636761861f,
15492     0.770082837f, -0.637943904f,
15493     0.769103338f, -0.639124445f,
15494     0.768122029f, -0.640303482f,
15495     0.767138912f, -0.641481013f,
15496     0.766153990f, -0.642657034f,
15497     0.765167266f, -0.643831543f,
15498     0.764178741f, -0.645004537f,
15499     0.763188417f, -0.646176013f,
15500     0.762196298f, -0.647345969f,
15501     0.761202385f, -0.648514401f,
15502     0.760206682f, -0.649681307f,
15503     0.759209189f, -0.650846685f,
15504     0.758209910f, -0.652010531f,
15505     0.757208847f, -0.653172843f,
15506     0.756206001f, -0.654333618f,
15507     0.755201377f, -0.655492853f,
15508     0.754194975f, -0.656650546f,
15509     0.753186799f, -0.657806693f,
15510     0.752176850f, -0.658961293f,
15511     0.751165132f, -0.660114342f,
15512     0.750151646f, -0.661265838f,
15513     0.749136395f, -0.662415778f,
15514     0.748119380f, -0.663564159f,
15515     0.747100606f, -0.664710978f,
15516     0.746080074f, -0.665856234f,
15517     0.745057785f, -0.666999922f,
15518     0.744033744f, -0.668142041f,
15519     0.743007952f, -0.669282588f,
15520     0.741980412f, -0.670421560f,
15521     0.740951125f, -0.671558955f,
15522     0.739920095f, -0.672694769f,
15523     0.738887324f, -0.673829000f,
15524     0.737852815f, -0.674961646f,
15525     0.736816569f, -0.676092704f,
15526     0.735778589f, -0.677222170f,
15527     0.734738878f, -0.678350043f,
15528     0.733697438f, -0.679476320f,
15529     0.732654272f, -0.680600998f,
15530     0.731609381f, -0.681724074f,
15531     0.730562769f, -0.682845546f,
15532     0.729514438f, -0.683965412f,
15533     0.728464390f, -0.685083668f,
15534     0.727412629f, -0.686200312f,
15535     0.726359155f, -0.687315341f,
15536     0.725303972f, -0.688428753f,
15537     0.724247083f, -0.689540545f,
15538     0.723188489f, -0.690650714f,
15539     0.722128194f, -0.691759258f,
15540     0.721066199f, -0.692866175f,
15541     0.720002508f, -0.693971461f,
15542     0.718937122f, -0.695075114f,
15543     0.717870045f, -0.696177131f,
15544     0.716801279f, -0.697277511f,
15545     0.715730825f, -0.698376249f,
15546     0.714658688f, -0.699473345f,
15547     0.713584869f, -0.700568794f,
15548     0.712509371f, -0.701662595f,
15549     0.711432196f, -0.702754744f,
15550     0.710353347f, -0.703845241f,
15551     0.709272826f, -0.704934080f,
15552     0.708190637f, -0.706021261f,
15553     0.707106781f, -0.707106781f,
15554     0.706021261f, -0.708190637f,
15555     0.704934080f, -0.709272826f,
15556     0.703845241f, -0.710353347f,
15557     0.702754744f, -0.711432196f,
15558     0.701662595f, -0.712509371f,
15559     0.700568794f, -0.713584869f,
15560     0.699473345f, -0.714658688f,
15561     0.698376249f, -0.715730825f,
15562     0.697277511f, -0.716801279f,
15563     0.696177131f, -0.717870045f,
15564     0.695075114f, -0.718937122f,
15565     0.693971461f, -0.720002508f,
15566     0.692866175f, -0.721066199f,
15567     0.691759258f, -0.722128194f,
15568     0.690650714f, -0.723188489f,
15569     0.689540545f, -0.724247083f,
15570     0.688428753f, -0.725303972f,
15571     0.687315341f, -0.726359155f,
15572     0.686200312f, -0.727412629f,
15573     0.685083668f, -0.728464390f,
15574     0.683965412f, -0.729514438f,
15575     0.682845546f, -0.730562769f,
15576     0.681724074f, -0.731609381f,
15577     0.680600998f, -0.732654272f,
15578     0.679476320f, -0.733697438f,
15579     0.678350043f, -0.734738878f,
15580     0.677222170f, -0.735778589f,
15581     0.676092704f, -0.736816569f,
15582     0.674961646f, -0.737852815f,
15583     0.673829000f, -0.738887324f,
15584     0.672694769f, -0.739920095f,
15585     0.671558955f, -0.740951125f,
15586     0.670421560f, -0.741980412f,
15587     0.669282588f, -0.743007952f,
15588     0.668142041f, -0.744033744f,
15589     0.666999922f, -0.745057785f,
15590     0.665856234f, -0.746080074f,
15591     0.664710978f, -0.747100606f,
15592     0.663564159f, -0.748119380f,
15593     0.662415778f, -0.749136395f,
15594     0.661265838f, -0.750151646f,
15595     0.660114342f, -0.751165132f,
15596     0.658961293f, -0.752176850f,
15597     0.657806693f, -0.753186799f,
15598     0.656650546f, -0.754194975f,
15599     0.655492853f, -0.755201377f,
15600     0.654333618f, -0.756206001f,
15601     0.653172843f, -0.757208847f,
15602     0.652010531f, -0.758209910f,
15603     0.650846685f, -0.759209189f,
15604     0.649681307f, -0.760206682f,
15605     0.648514401f, -0.761202385f,
15606     0.647345969f, -0.762196298f,
15607     0.646176013f, -0.763188417f,
15608     0.645004537f, -0.764178741f,
15609     0.643831543f, -0.765167266f,
15610     0.642657034f, -0.766153990f,
15611     0.641481013f, -0.767138912f,
15612     0.640303482f, -0.768122029f,
15613     0.639124445f, -0.769103338f,
15614     0.637943904f, -0.770082837f,
15615     0.636761861f, -0.771060524f,
15616     0.635578320f, -0.772036397f,
15617     0.634393284f, -0.773010453f,
15618     0.633206755f, -0.773982691f,
15619     0.632018736f, -0.774953107f,
15620     0.630829230f, -0.775921699f,
15621     0.629638239f, -0.776888466f,
15622     0.628445767f, -0.777853404f,
15623     0.627251815f, -0.778816512f,
15624     0.626056388f, -0.779777788f,
15625     0.624859488f, -0.780737229f,
15626     0.623661118f, -0.781694832f,
15627     0.622461279f, -0.782650596f,
15628     0.621259977f, -0.783604519f,
15629     0.620057212f, -0.784556597f,
15630     0.618852988f, -0.785506830f,
15631     0.617647308f, -0.786455214f,
15632     0.616440175f, -0.787401747f,
15633     0.615231591f, -0.788346428f,
15634     0.614021559f, -0.789289253f,
15635     0.612810082f, -0.790230221f,
15636     0.611597164f, -0.791169330f,
15637     0.610382806f, -0.792106577f,
15638     0.609167012f, -0.793041960f,
15639     0.607949785f, -0.793975478f,
15640     0.606731127f, -0.794907126f,
15641     0.605511041f, -0.795836905f,
15642     0.604289531f, -0.796764810f,
15643     0.603066599f, -0.797690841f,
15644     0.601842247f, -0.798614995f,
15645     0.600616479f, -0.799537269f,
15646     0.599389298f, -0.800457662f,
15647     0.598160707f, -0.801376172f,
15648     0.596930708f, -0.802292796f,
15649     0.595699304f, -0.803207531f,
15650     0.594466499f, -0.804120377f,
15651     0.593232295f, -0.805031331f,
15652     0.591996695f, -0.805940391f,
15653     0.590759702f, -0.806847554f,
15654     0.589521319f, -0.807752818f,
15655     0.588281548f, -0.808656182f,
15656     0.587040394f, -0.809557642f,
15657     0.585797857f, -0.810457198f,
15658     0.584553943f, -0.811354847f,
15659     0.583308653f, -0.812250587f,
15660     0.582061990f, -0.813144415f,
15661     0.580813958f, -0.814036330f,
15662     0.579564559f, -0.814926329f,
15663     0.578313796f, -0.815814411f,
15664     0.577061673f, -0.816700573f,
15665     0.575808191f, -0.817584813f,
15666     0.574553355f, -0.818467130f,
15667     0.573297167f, -0.819347520f,
15668     0.572039629f, -0.820225983f,
15669     0.570780746f, -0.821102515f,
15670     0.569520519f, -0.821977115f,
15671     0.568258953f, -0.822849781f,
15672     0.566996049f, -0.823720511f,
15673     0.565731811f, -0.824589303f,
15674     0.564466242f, -0.825456154f,
15675     0.563199344f, -0.826321063f,
15676     0.561931121f, -0.827184027f,
15677     0.560661576f, -0.828045045f,
15678     0.559390712f, -0.828904115f,
15679     0.558118531f, -0.829761234f,
15680     0.556845037f, -0.830616400f,
15681     0.555570233f, -0.831469612f,
15682     0.554294121f, -0.832320868f,
15683     0.553016706f, -0.833170165f,
15684     0.551737988f, -0.834017501f,
15685     0.550457973f, -0.834862875f,
15686     0.549176662f, -0.835706284f,
15687     0.547894059f, -0.836547727f,
15688     0.546610167f, -0.837387202f,
15689     0.545324988f, -0.838224706f,
15690     0.544038527f, -0.839060237f,
15691     0.542750785f, -0.839893794f,
15692     0.541461766f, -0.840725375f,
15693     0.540171473f, -0.841554977f,
15694     0.538879909f, -0.842382600f,
15695     0.537587076f, -0.843208240f,
15696     0.536292979f, -0.844031895f,
15697     0.534997620f, -0.844853565f,
15698     0.533701002f, -0.845673247f,
15699     0.532403128f, -0.846490939f,
15700     0.531104001f, -0.847306639f,
15701     0.529803625f, -0.848120345f,
15702     0.528502002f, -0.848932055f,
15703     0.527199135f, -0.849741768f,
15704     0.525895027f, -0.850549481f,
15705     0.524589683f, -0.851355193f,
15706     0.523283103f, -0.852158902f,
15707     0.521975293f, -0.852960605f,
15708     0.520666254f, -0.853760301f,
15709     0.519355990f, -0.854557988f,
15710     0.518044504f, -0.855353665f,
15711     0.516731799f, -0.856147328f,
15712     0.515417878f, -0.856938977f,
15713     0.514102744f, -0.857728610f,
15714     0.512786401f, -0.858516224f,
15715     0.511468850f, -0.859301818f,
15716     0.510150097f, -0.860085390f,
15717     0.508830143f, -0.860866939f,
15718     0.507508991f, -0.861646461f,
15719     0.506186645f, -0.862423956f,
15720     0.504863109f, -0.863199422f,
15721     0.503538384f, -0.863972856f,
15722     0.502212474f, -0.864744258f,
15723     0.500885383f, -0.865513624f,
15724     0.499557113f, -0.866280954f,
15725     0.498227667f, -0.867046246f,
15726     0.496897049f, -0.867809497f,
15727     0.495565262f, -0.868570706f,
15728     0.494232309f, -0.869329871f,
15729     0.492898192f, -0.870086991f,
15730     0.491562916f, -0.870842063f,
15731     0.490226483f, -0.871595087f,
15732     0.488888897f, -0.872346059f,
15733     0.487550160f, -0.873094978f,
15734     0.486210276f, -0.873841843f,
15735     0.484869248f, -0.874586652f,
15736     0.483527079f, -0.875329403f,
15737     0.482183772f, -0.876070094f,
15738     0.480839331f, -0.876808724f,
15739     0.479493758f, -0.877545290f,
15740     0.478147056f, -0.878279792f,
15741     0.476799230f, -0.879012226f,
15742     0.475450282f, -0.879742593f,
15743     0.474100215f, -0.880470889f,
15744     0.472749032f, -0.881197113f,
15745     0.471396737f, -0.881921264f,
15746     0.470043332f, -0.882643340f,
15747     0.468688822f, -0.883363339f,
15748     0.467333209f, -0.884081259f,
15749     0.465976496f, -0.884797098f,
15750     0.464618686f, -0.885510856f,
15751     0.463259784f, -0.886222530f,
15752     0.461899791f, -0.886932119f,
15753     0.460538711f, -0.887639620f,
15754     0.459176548f, -0.888345033f,
15755     0.457813304f, -0.889048356f,
15756     0.456448982f, -0.889749586f,
15757     0.455083587f, -0.890448723f,
15758     0.453717121f, -0.891145765f,
15759     0.452349587f, -0.891840709f,
15760     0.450980989f, -0.892533555f,
15761     0.449611330f, -0.893224301f,
15762     0.448240612f, -0.893912945f,
15763     0.446868840f, -0.894599486f,
15764     0.445496017f, -0.895283921f,
15765     0.444122145f, -0.895966250f,
15766     0.442747228f, -0.896646470f,
15767     0.441371269f, -0.897324581f,
15768     0.439994271f, -0.898000580f,
15769     0.438616239f, -0.898674466f,
15770     0.437237174f, -0.899346237f,
15771     0.435857080f, -0.900015892f,
15772     0.434475961f, -0.900683429f,
15773     0.433093819f, -0.901348847f,
15774     0.431710658f, -0.902012144f,
15775     0.430326481f, -0.902673318f,
15776     0.428941292f, -0.903332368f,
15777     0.427555093f, -0.903989293f,
15778     0.426167889f, -0.904644091f,
15779     0.424779681f, -0.905296759f,
15780     0.423390474f, -0.905947298f,
15781     0.422000271f, -0.906595705f,
15782     0.420609074f, -0.907241978f,
15783     0.419216888f, -0.907886116f,
15784     0.417823716f, -0.908528119f,
15785     0.416429560f, -0.909167983f,
15786     0.415034424f, -0.909805708f,
15787     0.413638312f, -0.910441292f,
15788     0.412241227f, -0.911074734f,
15789     0.410843171f, -0.911706032f,
15790     0.409444149f, -0.912335185f,
15791     0.408044163f, -0.912962190f,
15792     0.406643217f, -0.913587048f,
15793     0.405241314f, -0.914209756f,
15794     0.403838458f, -0.914830312f,
15795     0.402434651f, -0.915448716f,
15796     0.401029897f, -0.916064966f,
15797     0.399624200f, -0.916679060f,
15798     0.398217562f, -0.917290997f,
15799     0.396809987f, -0.917900776f,
15800     0.395401479f, -0.918508394f,
15801     0.393992040f, -0.919113852f,
15802     0.392581674f, -0.919717146f,
15803     0.391170384f, -0.920318277f,
15804     0.389758174f, -0.920917242f,
15805     0.388345047f, -0.921514039f,
15806     0.386931006f, -0.922108669f,
15807     0.385516054f, -0.922701128f,
15808     0.384100195f, -0.923291417f,
15809     0.382683432f, -0.923879533f,
15810     0.381265769f, -0.924465474f,
15811     0.379847209f, -0.925049241f,
15812     0.378427755f, -0.925630831f,
15813     0.377007410f, -0.926210242f,
15814     0.375586178f, -0.926787474f,
15815     0.374164063f, -0.927362526f,
15816     0.372741067f, -0.927935395f,
15817     0.371317194f, -0.928506080f,
15818     0.369892447f, -0.929074581f,
15819     0.368466830f, -0.929640896f,
15820     0.367040346f, -0.930205023f,
15821     0.365612998f, -0.930766961f,
15822     0.364184790f, -0.931326709f,
15823     0.362755724f, -0.931884266f,
15824     0.361325806f, -0.932439629f,
15825     0.359895037f, -0.932992799f,
15826     0.358463421f, -0.933543773f,
15827     0.357030961f, -0.934092550f,
15828     0.355597662f, -0.934639130f,
15829     0.354163525f, -0.935183510f,
15830     0.352728556f, -0.935725689f,
15831     0.351292756f, -0.936265667f,
15832     0.349856130f, -0.936803442f,
15833     0.348418680f, -0.937339012f,
15834     0.346980411f, -0.937872376f,
15835     0.345541325f, -0.938403534f,
15836     0.344101426f, -0.938932484f,
15837     0.342660717f, -0.939459224f,
15838     0.341219202f, -0.939983753f,
15839     0.339776884f, -0.940506071f,
15840     0.338333767f, -0.941026175f,
15841     0.336889853f, -0.941544065f,
15842     0.335445147f, -0.942059740f,
15843     0.333999651f, -0.942573198f,
15844     0.332553370f, -0.943084437f,
15845     0.331106306f, -0.943593458f,
15846     0.329658463f, -0.944100258f,
15847     0.328209844f, -0.944604837f,
15848     0.326760452f, -0.945107193f,
15849     0.325310292f, -0.945607325f,
15850     0.323859367f, -0.946105232f,
15851     0.322407679f, -0.946600913f,
15852     0.320955232f, -0.947094366f,
15853     0.319502031f, -0.947585591f,
15854     0.318048077f, -0.948074586f,
15855     0.316593376f, -0.948561350f,
15856     0.315137929f, -0.949045882f,
15857     0.313681740f, -0.949528181f,
15858     0.312224814f, -0.950008245f,
15859     0.310767153f, -0.950486074f,
15860     0.309308760f, -0.950961666f,
15861     0.307849640f, -0.951435021f,
15862     0.306389795f, -0.951906137f,
15863     0.304929230f, -0.952375013f,
15864     0.303467947f, -0.952841648f,
15865     0.302005949f, -0.953306040f,
15866     0.300543241f, -0.953768190f,
15867     0.299079826f, -0.954228095f,
15868     0.297615707f, -0.954685755f,
15869     0.296150888f, -0.955141168f,
15870     0.294685372f, -0.955594334f,
15871     0.293219163f, -0.956045251f,
15872     0.291752263f, -0.956493919f,
15873     0.290284677f, -0.956940336f,
15874     0.288816408f, -0.957384501f,
15875     0.287347460f, -0.957826413f,
15876     0.285877835f, -0.958266071f,
15877     0.284407537f, -0.958703475f,
15878     0.282936570f, -0.959138622f,
15879     0.281464938f, -0.959571513f,
15880     0.279992643f, -0.960002146f,
15881     0.278519689f, -0.960430519f,
15882     0.277046080f, -0.960856633f,
15883     0.275571819f, -0.961280486f,
15884     0.274096910f, -0.961702077f,
15885     0.272621355f, -0.962121404f,
15886     0.271145160f, -0.962538468f,
15887     0.269668326f, -0.962953267f,
15888     0.268190857f, -0.963365800f,
15889     0.266712757f, -0.963776066f,
15890     0.265234030f, -0.964184064f,
15891     0.263754679f, -0.964589793f,
15892     0.262274707f, -0.964993253f,
15893     0.260794118f, -0.965394442f,
15894     0.259312915f, -0.965793359f,
15895     0.257831102f, -0.966190003f,
15896     0.256348682f, -0.966584374f,
15897     0.254865660f, -0.966976471f,
15898     0.253382037f, -0.967366292f,
15899     0.251897818f, -0.967753837f,
15900     0.250413007f, -0.968139105f,
15901     0.248927606f, -0.968522094f,
15902     0.247441619f, -0.968902805f,
15903     0.245955050f, -0.969281235f,
15904     0.244467903f, -0.969657385f,
15905     0.242980180f, -0.970031253f,
15906     0.241491885f, -0.970402839f,
15907     0.240003022f, -0.970772141f,
15908     0.238513595f, -0.971139158f,
15909     0.237023606f, -0.971503891f,
15910     0.235533059f, -0.971866337f,
15911     0.234041959f, -0.972226497f,
15912     0.232550307f, -0.972584369f,
15913     0.231058108f, -0.972939952f,
15914     0.229565366f, -0.973293246f,
15915     0.228072083f, -0.973644250f,
15916     0.226578264f, -0.973992962f,
15917     0.225083911f, -0.974339383f,
15918     0.223589029f, -0.974683511f,
15919     0.222093621f, -0.975025345f,
15920     0.220597690f, -0.975364885f,
15921     0.219101240f, -0.975702130f,
15922     0.217604275f, -0.976037079f,
15923     0.216106797f, -0.976369731f,
15924     0.214608811f, -0.976700086f,
15925     0.213110320f, -0.977028143f,
15926     0.211611327f, -0.977353900f,
15927     0.210111837f, -0.977677358f,
15928     0.208611852f, -0.977998515f,
15929     0.207111376f, -0.978317371f,
15930     0.205610413f, -0.978633924f,
15931     0.204108966f, -0.978948175f,
15932     0.202607039f, -0.979260123f,
15933     0.201104635f, -0.979569766f,
15934     0.199601758f, -0.979877104f,
15935     0.198098411f, -0.980182136f,
15936     0.196594598f, -0.980484862f,
15937     0.195090322f, -0.980785280f,
15938     0.193585587f, -0.981083391f,
15939     0.192080397f, -0.981379193f,
15940     0.190574755f, -0.981672686f,
15941     0.189068664f, -0.981963869f,
15942     0.187562129f, -0.982252741f,
15943     0.186055152f, -0.982539302f,
15944     0.184547737f, -0.982823551f,
15945     0.183039888f, -0.983105487f,
15946     0.181531608f, -0.983385110f,
15947     0.180022901f, -0.983662419f,
15948     0.178513771f, -0.983937413f,
15949     0.177004220f, -0.984210092f,
15950     0.175494253f, -0.984480455f,
15951     0.173983873f, -0.984748502f,
15952     0.172473084f, -0.985014231f,
15953     0.170961889f, -0.985277642f,
15954     0.169450291f, -0.985538735f,
15955     0.167938295f, -0.985797509f,
15956     0.166425904f, -0.986053963f,
15957     0.164913120f, -0.986308097f,
15958     0.163399949f, -0.986559910f,
15959     0.161886394f, -0.986809402f,
15960     0.160372457f, -0.987056571f,
15961     0.158858143f, -0.987301418f,
15962     0.157343456f, -0.987543942f,
15963     0.155828398f, -0.987784142f,
15964     0.154312973f, -0.988022017f,
15965     0.152797185f, -0.988257568f,
15966     0.151281038f, -0.988490793f,
15967     0.149764535f, -0.988721692f,
15968     0.148247679f, -0.988950265f,
15969     0.146730474f, -0.989176510f,
15970     0.145212925f, -0.989400428f,
15971     0.143695033f, -0.989622017f,
15972     0.142176804f, -0.989841278f,
15973     0.140658239f, -0.990058210f,
15974     0.139139344f, -0.990272812f,
15975     0.137620122f, -0.990485084f,
15976     0.136100575f, -0.990695025f,
15977     0.134580709f, -0.990902635f,
15978     0.133060525f, -0.991107914f,
15979     0.131540029f, -0.991310860f,
15980     0.130019223f, -0.991511473f,
15981     0.128498111f, -0.991709754f,
15982     0.126976696f, -0.991905700f,
15983     0.125454983f, -0.992099313f,
15984     0.123932975f, -0.992290591f,
15985     0.122410675f, -0.992479535f,
15986     0.120888087f, -0.992666142f,
15987     0.119365215f, -0.992850414f,
15988     0.117842062f, -0.993032350f,
15989     0.116318631f, -0.993211949f,
15990     0.114794927f, -0.993389211f,
15991     0.113270952f, -0.993564136f,
15992     0.111746711f, -0.993736722f,
15993     0.110222207f, -0.993906970f,
15994     0.108697444f, -0.994074879f,
15995     0.107172425f, -0.994240449f,
15996     0.105647154f, -0.994403680f,
15997     0.104121634f, -0.994564571f,
15998     0.102595869f, -0.994723121f,
15999     0.101069863f, -0.994879331f,
16000     0.099543619f, -0.995033199f,
16001     0.098017140f, -0.995184727f,
16002     0.096490431f, -0.995333912f,
16003     0.094963495f, -0.995480755f,
16004     0.093436336f, -0.995625256f,
16005     0.091908956f, -0.995767414f,
16006     0.090381361f, -0.995907229f,
16007     0.088853553f, -0.996044701f,
16008     0.087325535f, -0.996179829f,
16009     0.085797312f, -0.996312612f,
16010     0.084268888f, -0.996443051f,
16011     0.082740265f, -0.996571146f,
16012     0.081211447f, -0.996696895f,
16013     0.079682438f, -0.996820299f,
16014     0.078153242f, -0.996941358f,
16015     0.076623861f, -0.997060070f,
16016     0.075094301f, -0.997176437f,
16017     0.073564564f, -0.997290457f,
16018     0.072034653f, -0.997402130f,
16019     0.070504573f, -0.997511456f,
16020     0.068974328f, -0.997618435f,
16021     0.067443920f, -0.997723067f,
16022     0.065913353f, -0.997825350f,
16023     0.064382631f, -0.997925286f,
16024     0.062851758f, -0.998022874f,
16025     0.061320736f, -0.998118113f,
16026     0.059789571f, -0.998211003f,
16027     0.058258265f, -0.998301545f,
16028     0.056726821f, -0.998389737f,
16029     0.055195244f, -0.998475581f,
16030     0.053663538f, -0.998559074f,
16031     0.052131705f, -0.998640218f,
16032     0.050599749f, -0.998719012f,
16033     0.049067674f, -0.998795456f,
16034     0.047535484f, -0.998869550f,
16035     0.046003182f, -0.998941293f,
16036     0.044470772f, -0.999010686f,
16037     0.042938257f, -0.999077728f,
16038     0.041405641f, -0.999142419f,
16039     0.039872928f, -0.999204759f,
16040     0.038340120f, -0.999264747f,
16041     0.036807223f, -0.999322385f,
16042     0.035274239f, -0.999377670f,
16043     0.033741172f, -0.999430605f,
16044     0.032208025f, -0.999481187f,
16045     0.030674803f, -0.999529418f,
16046     0.029141509f, -0.999575296f,
16047     0.027608146f, -0.999618822f,
16048     0.026074718f, -0.999659997f,
16049     0.024541229f, -0.999698819f,
16050     0.023007681f, -0.999735288f,
16051     0.021474080f, -0.999769405f,
16052     0.019940429f, -0.999801170f,
16053     0.018406730f, -0.999830582f,
16054     0.016872988f, -0.999857641f,
16055     0.015339206f, -0.999882347f,
16056     0.013805389f, -0.999904701f,
16057     0.012271538f, -0.999924702f,
16058     0.010737659f, -0.999942350f,
16059     0.009203755f, -0.999957645f,
16060     0.007669829f, -0.999970586f,
16061     0.006135885f, -0.999981175f,
16062     0.004601926f, -0.999989411f,
16063     0.003067957f, -0.999995294f,
16064     0.001533980f, -0.999998823f
16065 };